Datasets:
id string | program string | topic string | subtopic string | difficulty string | question_type string | question string | answer string | distractors list | reasoning_trace string | verified bool | verification dict | metadata dict | preference_pair dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
cosimo_CFA_Level_I_100978_9aa58790d436d2f7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $14,700 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 1,805,579.56 | [
"1,814,607.46",
"1,411,200.00",
"1,625,021.61"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 14,700 × 122.8285 = 1,805,579.56.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 729978000,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 729978000,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_101978_abbcc4c46ed884ce | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 6,787,137.16 | [
"6,832,384.74",
"4,867,200.00",
"6,108,423.44"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 50,700 × 133.8686 = 6,787,137.16.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 729985919,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 729985919,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_102978_2fbcbc764a3f4c88 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,200 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 7,686,439.81 | [
"7,712,061.27",
"6,264,000.00",
"6,917,795.83"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 120 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 147.2498.
Step 3. FV = PMT × factor = 52,200 × 147.2498 = 7,686,439.81.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 729993838,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 729993838,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_103978_44359974ab2f7c63 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $76,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 7,411,368.59 | [
"7,436,073.15",
"6,434,400.00",
"6,670,231.73"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 76,600 × 96.7542 = 7,411,368.59.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730001757,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730001757,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_104978_7219225f9cba422f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,800 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 108 months. | 12,389,823.30 | [
"12,451,772.41",
"9,374,400.00",
"11,150,840.97"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 108 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 142.7399.
Step 3. FV = PMT × factor = 86,800 × 142.7399 = 12,389,823.30.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "12,451,772.41",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730009676,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730009676,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "12,389,823.30",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 108 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 142.7399.\nStep 3. FV = PMT × factor = 86,800 × 142.7399 = ... |
cosimo_CFA_Level_I_105978_020497d84da4a339 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 120 months. | 15,861,421.25 | [
"15,967,164.06",
"10,404,000.00",
"14,275,279.13"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 120 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 182.9460.
Step 3. FV = PMT × factor = 86,700 × 182.9460 = 15,861,421.25.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730017595,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730017595,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_106978_e6e0c191cc42d63c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,600 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,051,099.22 | [
"2,064,773.22",
"1,821,600.00",
"1,845,989.30"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 50,600 × 40.5356 = 2,051,099.22.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730025514,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730025514,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_107978_2e0f2c776ae993bb | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,600 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 3,076,705.36 | [
"3,097,216.73",
"2,620,800.00",
"2,769,034.83"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.
Step 3. FV = PMT × factor = 54,600 × 56.3499 = 3,076,705.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730033433,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730033433,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_108978_f0a5c3837bf67a1d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $11,000 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 980,770.38 | [
"986,491.54",
"792,000.00",
"882,693.34"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 11,000 × 89.1609 = 980,770.38.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730041352,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730041352,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_109978_fd9d2a9ff67c9239 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $57,900 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 4,145,229.01 | [
"4,169,409.51",
"3,474,000.00",
"3,730,706.10"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 57,900 × 71.5929 = 4,145,229.01.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,169,409.51",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730049271,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730049271,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,145,229.01",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.\nStep 3. FV = PMT × factor = 57,900 × 71.5929 = 4,14... |
cosimo_CFA_Level_I_110978_0ba91fc3473e8b6d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $69,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 2,767,155.98 | [
"2,783,297.72",
"2,494,800.00",
"2,490,440.38"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.
Step 3. FV = PMT × factor = 69,300 × 39.9301 = 2,767,155.98.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730057190,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730057190,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_111978_783b29094cb3d429 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $18,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 1,720,873.58 | [
"1,732,346.07",
"1,346,400.00",
"1,548,786.22"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.
Step 3. FV = PMT × factor = 18,700 × 92.0253 = 1,720,873.58.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730065109,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730065109,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_112978_b58bdfbe7598ba4a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $72,000 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 48 months. | 3,817,071.73 | [
"3,832,976.20",
"3,456,000.00",
"3,435,364.56"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 48 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 53.0149.
Step 3. FV = PMT × factor = 72,000 × 53.0149 = 3,817,071.73.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,832,976.20",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730073028,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730073028,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,817,071.73",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 48 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 53.0149.\nStep 3. FV = PMT × factor = 72,000 × 53.0149 = 3,81... |
cosimo_CFA_Level_I_113978_bef96af8d4f7ea1e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $79,000 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 10,127,706.86 | [
"10,186,785.15",
"7,584,000.00",
"9,114,936.18"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 79,000 × 128.1988 = 10,127,706.86.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "10,186,785.15",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730080947,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730080947,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "10,127,706.86",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.\nStep 3. FV = PMT × factor = 79,000 × 128.1988 = 1... |
cosimo_CFA_Level_I_114978_8b8a776ede8108a7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $60,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 4,873,353.82 | [
"4,889,598.34",
"4,320,000.00",
"4,386,018.44"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 72 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 81.2226.
Step 3. FV = PMT × factor = 60,000 × 81.2226 = 4,873,353.82.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730088866,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730088866,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_115978_bb32c19c282e4d62 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,000 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 72 months. | 6,533,612.17 | [
"6,560,835.55",
"5,616,000.00",
"5,880,250.95"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.
Step 3. FV = PMT × factor = 78,000 × 83.7643 = 6,533,612.17.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730096785,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730096785,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_116978_33809a0f51ef7c0f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $36,900 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 2,641,778.07 | [
"2,657,188.44",
"2,214,000.00",
"2,377,600.26"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 36,900 × 71.5929 = 2,641,778.07.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730104704,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730104704,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_117978_c7b7a9a7b4707e29 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $79,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 10,191,806.27 | [
"10,251,258.48",
"7,632,000.00",
"9,172,625.64"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 79,500 × 128.1988 = 10,191,806.27.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730112623,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730112623,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_118978_8971f92bebe57e8d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 5,856,378.72 | [
"5,895,421.24",
"4,017,600.00",
"5,270,740.84"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.
Step 3. FV = PMT × factor = 37,200 × 157.4295 = 5,856,378.72.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,895,421.24",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730120542,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730120542,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,856,378.72",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.\nStep 3. FV = PMT × factor = 37,200 × 157.4295 = 5... |
cosimo_CFA_Level_I_119978_1e020188fb63588c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $30,800 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 4,123,152.36 | [
"4,150,640.04",
"2,956,800.00",
"3,710,837.12"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 30,800 × 133.8686 = 4,123,152.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730128461,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730128461,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_120978_b6646d37640c1ef2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $42,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 4,112,051.76 | [
"4,125,758.60",
"3,570,000.00",
"3,700,846.59"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 42,500 × 96.7542 = 4,112,051.76.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730136380,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730136380,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_121978_9cfa6fadb16a6218 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $49,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 60 months. | 3,651,799.76 | [
"3,676,145.09",
"2,982,000.00",
"3,286,619.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 60 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 73.4769.
Step 3. FV = PMT × factor = 49,700 × 73.4769 = 3,651,799.76.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,676,145.09",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730144299,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730144299,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,651,799.76",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 60 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 73.4769.\nStep 3. FV = PMT × factor = 49,700 × 73.4769 = 3,65... |
cosimo_CFA_Level_I_122978_b09fb4f424893ea2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $80,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 5,616,487.46 | [
"5,644,569.89",
"4,830,000.00",
"5,054,838.71"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 60 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 69.7700.
Step 3. FV = PMT × factor = 80,500 × 69.7700 = 5,616,487.46.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,644,569.89",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730152218,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730152218,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,616,487.46",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 60 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 69.7700.\nStep 3. FV = PMT × factor = 80,500 × 69.7700 = 5,61... |
cosimo_CFA_Level_I_123978_ab2cf744c7652a2c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,900 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 120 months. | 11,630,642.73 | [
"11,679,103.74",
"8,988,000.00",
"10,467,578.46"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 120 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 155.2823.
Step 3. FV = PMT × factor = 74,900 × 155.2823 = 11,630,642.73.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730160137,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730160137,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_124978_8cbd622bd5cf1b9f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $58,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 108 months. | 7,576,902.08 | [
"7,602,158.42",
"6,307,200.00",
"6,819,211.87"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 108 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 129.7415.
Step 3. FV = PMT × factor = 58,400 × 129.7415 = 7,576,902.08.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730168056,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730168056,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_125978_fae70f78144ebd30 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,400 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 120 months. | 10,627,407.18 | [
"10,689,400.38",
"7,368,000.00",
"9,564,666.46"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 120 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 173.0848.
Step 3. FV = PMT × factor = 61,400 × 173.0848 = 10,627,407.18.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "10,689,400.38",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730175975,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730175975,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "10,627,407.18",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 120 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 173.0848.\nStep 3. FV = PMT × factor = 61,400 × 173.0848 = ... |
cosimo_CFA_Level_I_126978_1a343022ac78659f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $46,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 60 months. | 3,244,306.42 | [
"3,260,527.95",
"2,790,000.00",
"2,919,875.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 60 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 69.7700.
Step 3. FV = PMT × factor = 46,500 × 69.7700 = 3,244,306.42.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730183894,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730183894,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_127978_02c675441dd785d1 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,300 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 5,253,750.84 | [
"5,271,263.35",
"4,561,200.00",
"4,728,375.76"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 54,300 × 96.7542 = 5,253,750.84.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,271,263.35",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730191813,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730191813,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,253,750.84",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.\nStep 3. FV = PMT × factor = 54,300 × 96.7542 = 5,25... |
cosimo_CFA_Level_I_128978_2f63a4add13f22c1 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 5,453,948.53 | [
"5,485,763.22",
"4,242,000.00",
"4,908,553.67"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 50,500 × 107.9990 = 5,453,948.53.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,485,763.22",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730199732,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730199732,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,453,948.53",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.\nStep 3. FV = PMT × factor = 50,500 × 107.9990 = 5,... |
cosimo_CFA_Level_I_129978_cb0827f336fb02e3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $10,600 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 573,437.02 | [
"576,304.21",
"508,800.00",
"516,093.32"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 10,600 × 54.0978 = 573,437.02.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "576,304.21",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730207651,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730207651,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "573,437.02",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.\nStep 3. FV = PMT × factor = 10,600 × 54.0978 = 573,43... |
cosimo_CFA_Level_I_130978_e8bef80eb7c52912 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $28,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 36 months. | 1,108,345.40 | [
"1,112,963.50",
"1,029,600.00",
"997,510.86"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 36 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 38.7533.
Step 3. FV = PMT × factor = 28,600 × 38.7533 = 1,108,345.40.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730215570,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730215570,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_131978_097d41d4b7792efd | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,200 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 2,132,016.89 | [
"2,142,676.97",
"1,951,200.00",
"1,918,815.20"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 54,200 × 39.3361 = 2,132,016.89.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730223489,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730223489,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_132978_b2980ce160d7b66d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $35,700 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 2,366,873.52 | [
"2,374,763.10",
"2,142,000.00",
"2,130,186.17"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.
Step 3. FV = PMT × factor = 35,700 × 66.2990 = 2,366,873.52.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730231408,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730231408,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_133978_ffdcbe8e5ab21d10 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $51,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 5,826,596.45 | [
"5,846,018.43",
"4,953,600.00",
"5,243,936.80"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 51,600 × 112.9185 = 5,826,596.45.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730239327,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730239327,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_134978_aae96db002bb8fb5 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $54,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 6,199,227.61 | [
"6,219,891.71",
"5,270,400.00",
"5,579,304.85"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 54,900 × 112.9185 = 6,199,227.61.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730247246,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730247246,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_135978_7533d4ed51de8778 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,400 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 108 months. | 11,890,175.32 | [
"11,939,717.72",
"9,439,200.00",
"10,701,157.79"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 108 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 136.0432.
Step 3. FV = PMT × factor = 87,400 × 136.0432 = 11,890,175.32.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730255165,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730255165,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_136978_d5fb95628403ca3a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $50,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 5,255,733.32 | [
"5,282,011.99",
"4,242,000.00",
"4,730,159.99"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 50,500 × 104.0739 = 5,255,733.32.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730263084,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730263084,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_137978_361e0d160ba4032e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $44,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 4,257,183.00 | [
"4,271,373.61",
"3,696,000.00",
"3,831,464.70"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 44,000 × 96.7542 = 4,257,183.00.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730271003,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730271003,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_138978_83014f3bc7d8f33e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $83,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 108 months. | 11,918,781.63 | [
"11,978,375.54",
"9,018,000.00",
"10,726,903.47"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 108 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 142.7399.
Step 3. FV = PMT × factor = 83,500 × 142.7399 = 11,918,781.63.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730278922,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730278922,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_139978_ba42f49c549742c0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $10,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 428,763.54 | [
"430,907.36",
"392,400.00",
"385,887.19"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 10,900 × 39.3361 = 428,763.54.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730286841,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730286841,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_140978_feac76452fa08096 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $42,100 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 3,753,675.72 | [
"3,775,572.17",
"3,031,200.00",
"3,378,308.15"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 42,100 × 89.1609 = 3,753,675.72.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,775,572.17",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730294760,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730294760,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,753,675.72",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.\nStep 3. FV = PMT × factor = 42,100 × 89.1609 = 3,75... |
cosimo_CFA_Level_I_141978_bd0ef2880e5d43e3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $23,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 36 months. | 897,266.72 | [
"900,257.60",
"846,000.00",
"807,540.04"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 36 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 38.1816.
Step 3. FV = PMT × factor = 23,500 × 38.1816 = 897,266.72.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730302679,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730302679,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_142978_2ce1e5f323d0ef29 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,700 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 48 months. | 4,124,129.94 | [
"4,148,187.37",
"3,585,600.00",
"3,711,716.95"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 48 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 55.2092.
Step 3. FV = PMT × factor = 74,700 × 55.2092 = 4,124,129.94.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730310598,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730310598,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_143978_88d56e7c12212ab0 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $89,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 5,927,128.65 | [
"5,946,885.75",
"5,364,000.00",
"5,334,415.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.
Step 3. FV = PMT × factor = 89,400 × 66.2990 = 5,927,128.65.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730318517,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730318517,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_144978_fd6d75e6cc566a77 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $12,000 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 1,355,022.43 | [
"1,359,539.17",
"1,152,000.00",
"1,219,520.19"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 12,000 × 112.9185 = 1,355,022.43.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,359,539.17",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730326436,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730326436,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,355,022.43",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.\nStep 3. FV = PMT × factor = 12,000 × 112.9185 = 1,... |
cosimo_CFA_Level_I_145978_8ecc8ffa75fa8c74 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $26,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 3,230,390.65 | [
"3,246,542.60",
"2,524,800.00",
"2,907,351.58"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 26,300 × 122.8285 = 3,230,390.65.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,246,542.60",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730334355,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730334355,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,230,390.65",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.\nStep 3. FV = PMT × factor = 26,300 × 122.8285 = 3,... |
cosimo_CFA_Level_I_146978_ec8be656a95cfe68 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $77,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 6,936,721.41 | [
"6,977,185.62",
"5,601,600.00",
"6,243,049.27"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 77,800 × 89.1609 = 6,936,721.41.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730342274,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730342274,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_147978_e2326f438e36192b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $45,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 6,050,859.95 | [
"6,091,199.02",
"4,339,200.00",
"5,445,773.96"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 45,200 × 133.8686 = 6,050,859.95.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730350193,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730350193,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_148978_5808c535dc272d65 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $48,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 1,936,609.88 | [
"1,947,906.78",
"1,746,000.00",
"1,742,948.90"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.
Step 3. FV = PMT × factor = 48,500 × 39.9301 = 1,936,609.88.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,947,906.78",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730358112,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730358112,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,936,609.88",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.\nStep 3. FV = PMT × factor = 48,500 × 39.9301 = 1,93... |
cosimo_CFA_Level_I_149978_3233655e2aff1a96 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,600 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 72 months. | 3,149,536.12 | [
"3,162,659.19",
"2,707,200.00",
"2,834,582.51"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.
Step 3. FV = PMT × factor = 37,600 × 83.7643 = 3,149,536.12.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,162,659.19",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730366031,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730366031,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,149,536.12",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.\nStep 1. Periodic rate r = 0.05/12 = 0.0042.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.\nStep 3. FV = PMT × factor = 37,600 × 83.7643 = 3,14... |
cosimo_CFA_Level_I_150978_34c19606922bc854 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $19,800 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 2,235,787.01 | [
"2,243,239.63",
"1,900,800.00",
"2,012,208.31"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 19,800 × 112.9185 = 2,235,787.01.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,243,239.63",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730373950,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730373950,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,235,787.01",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.\nStep 3. FV = PMT × factor = 19,800 × 112.9185 = 2,... |
cosimo_CFA_Level_I_151978_5e5473fb9fc19218 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $24,800 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 72 months. | 2,077,353.61 | [
"2,086,009.25",
"1,785,600.00",
"1,869,618.25"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 72 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 83.7643.
Step 3. FV = PMT × factor = 24,800 × 83.7643 = 2,077,353.61.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730381869,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730381869,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_152978_3948ebdcd95eb326 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 108 months. | 9,146,773.92 | [
"9,177,263.16",
"7,614,000.00",
"8,232,096.53"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 108 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 129.7415.
Step 3. FV = PMT × factor = 70,500 × 129.7415 = 9,146,773.92.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "9,177,263.16",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730389788,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730389788,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "9,146,773.92",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 108 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 129.7415.\nStep 3. FV = PMT × factor = 70,500 × 129.7415 = 9... |
cosimo_CFA_Level_I_153978_8ffb657a6969c69e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $25,200 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 991,269.85 | [
"996,226.19",
"907,200.00",
"892,142.86"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 25,200 × 39.3361 = 991,269.85.
Step 4. Deposits are END-of-month → ordinary annuity stands. Dist... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730397707,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730397707,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_154978_5085235d44d94028 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $18,500 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 2,912,446.40 | [
"2,931,862.71",
"1,998,000.00",
"2,621,201.76"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.
Step 3. FV = PMT × factor = 18,500 × 157.4295 = 2,912,446.40.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730405626,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730405626,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_155978_22a5272d91da5638 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $20,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 120 months. | 3,677,215.31 | [
"3,701,730.08",
"2,412,000.00",
"3,309,493.78"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 120 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 182.9460.
Step 3. FV = PMT × factor = 20,100 × 182.9460 = 3,677,215.31.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730413545,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730413545,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_156978_179d1fac01edec44 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $58,100 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 7,448,351.50 | [
"7,491,800.22",
"5,577,600.00",
"6,703,516.35"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 58,100 × 128.1988 = 7,448,351.50.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730421464,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730421464,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_157978_976c66c8e1991440 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,500 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 108 months. | 9,965,617.48 | [
"10,023,750.25",
"7,182,000.00",
"8,969,055.73"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 108 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 149.8589.
Step 3. FV = PMT × factor = 66,500 × 149.8589 = 9,965,617.48.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730429383,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730429383,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_158978_b9ee6c5fd6c78a0a | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $34,000 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 4,176,170.42 | [
"4,197,051.27",
"3,264,000.00",
"3,758,553.38"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 34,000 × 122.8285 = 4,176,170.42.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730437302,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730437302,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_159978_4f629fa2716991d3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 6,379,731.74 | [
"6,411,630.40",
"5,149,200.00",
"5,741,758.56"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 61,300 × 104.0739 = 6,379,731.74.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "6,411,630.40",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730445221,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730445221,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "6,379,731.74",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.\nStep 3. FV = PMT × factor = 61,300 × 104.0739 = 6,... |
cosimo_CFA_Level_I_160978_e96c6014f1c36661 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,800 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 2,743,466.93 | [
"2,752,611.82",
"2,534,400.00",
"2,469,120.24"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.
Step 3. FV = PMT × factor = 52,800 × 51.9596 = 2,743,466.93.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730453140,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730453140,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_161978_2ce6e71af06cc8c5 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $88,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 9,252,172.13 | [
"9,298,432.99",
"7,467,600.00",
"8,326,954.92"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 88,900 × 104.0739 = 9,252,172.13.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730461059,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730461059,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_162978_a8a2b8f9d33729b3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $86,400 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 4,489,309.53 | [
"4,504,273.89",
"4,147,200.00",
"4,040,378.57"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.
Step 3. FV = PMT × factor = 86,400 × 51.9596 = 4,489,309.53.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,504,273.89",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730468978,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730468978,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,489,309.53",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.\nStep 3. FV = PMT × factor = 86,400 × 51.9596 = 4,48... |
cosimo_CFA_Level_I_163978_d14496469fda39f4 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $34,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 108 months. | 5,415,576.02 | [
"5,451,679.86",
"3,715,200.00",
"4,874,018.41"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 108 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 157.4295.
Step 3. FV = PMT × factor = 34,400 × 157.4295 = 5,415,576.02.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730476897,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730476897,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_164978_f3cb0a414f789203 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,200 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 84 months. | 8,436,962.68 | [
"8,465,085.89",
"7,324,800.00",
"7,593,266.41"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.
Step 3. FV = PMT × factor = 87,200 × 96.7542 = 8,436,962.68.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "8,465,085.89",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730484816,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730484816,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "8,436,962.68",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 84 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 96.7542.\nStep 3. FV = PMT × factor = 87,200 × 96.7542 = 8,43... |
cosimo_CFA_Level_I_165978_b99d40b03ebfbabe | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $66,600 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 72 months. | 5,409,422.74 | [
"5,427,454.15",
"4,795,200.00",
"4,868,480.47"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 72 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 81.2226.
Step 3. FV = PMT × factor = 66,600 × 81.2226 = 5,409,422.74.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,427,454.15",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730492735,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730492735,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,409,422.74",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 72 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 81.2226.\nStep 3. FV = PMT × factor = 66,600 × 81.2226 = 5,40... |
cosimo_CFA_Level_I_166978_e30b79af996aef14 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 4,812,924.50 | [
"4,845,010.67",
"3,765,600.00",
"4,331,632.05"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.
Step 3. FV = PMT × factor = 52,300 × 92.0253 = 4,812,924.50.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,845,010.67",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730500654,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730500654,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,812,924.50",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.\nStep 3. FV = PMT × factor = 52,300 × 92.0253 = 4,81... |
cosimo_CFA_Level_I_167978_0174b1ef1c64e100 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $87,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 6,242,901.02 | [
"6,279,317.95",
"5,232,000.00",
"5,618,610.92"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 87,200 × 71.5929 = 6,242,901.02.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "6,279,317.95",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730508573,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730508573,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "6,242,901.02",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.\nStep 1. Periodic rate r = 0.07/12 = 0.0058.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.\nStep 3. FV = PMT × factor = 87,200 × 71.5929 = 6,24... |
cosimo_CFA_Level_I_168978_18f8e46a3abb7e1d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $74,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 120 months. | 10,970,110.45 | [
"11,006,677.49",
"8,940,000.00",
"9,873,099.41"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 120 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 147.2498.
Step 3. FV = PMT × factor = 74,500 × 147.2498 = 10,970,110.45.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730516492,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730516492,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_169978_673f2889fdcb5a11 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $81,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 36 months. | 3,246,317.19 | [
"3,265,254.04",
"2,926,800.00",
"2,921,685.47"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 36 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.9301.
Step 3. FV = PMT × factor = 81,300 × 39.9301 = 3,246,317.19.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730524411,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730524411,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_170978_c4fa07e1c1f5fecf | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $67,300 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 7,268,331.40 | [
"7,310,730.00",
"5,653,200.00",
"6,541,498.26"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 67,300 × 107.9990 = 7,268,331.40.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730532330,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730532330,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_171978_dc7892101612ab9d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $13,500 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 84 months. | 1,354,436.81 | [
"1,360,080.30",
"1,134,000.00",
"1,218,993.13"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 84 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 100.3287.
Step 3. FV = PMT × factor = 13,500 × 100.3287 = 1,354,436.81.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730540249,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730540249,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_172978_18cb201ebcfc6c61 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $20,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 1,098,185.99 | [
"1,103,676.92",
"974,400.00",
"988,367.39"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 20,300 × 54.0978 = 1,098,185.99.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730548168,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730548168,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_173978_611fe7730d8ad64c | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $33,200 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 120 months. | 6,073,808.37 | [
"6,114,300.42",
"3,984,000.00",
"5,466,427.53"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 120 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 182.9460.
Step 3. FV = PMT × factor = 33,200 × 182.9460 = 6,073,808.37.
Step 4. Deposits are END-of-month → ordinary annuity stands.... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730556087,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730556087,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_174978_46bd6dde5f401558 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $17,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 72 months. | 1,628,848.25 | [
"1,639,707.24",
"1,274,400.00",
"1,465,963.43"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.
Step 3. FV = PMT × factor = 17,700 × 92.0253 = 1,628,848.25.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,639,707.24",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730564006,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730564006,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,628,848.25",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 72 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 92.0253.\nStep 3. FV = PMT × factor = 17,700 × 92.0253 = 1,62... |
cosimo_CFA_Level_I_175978_73041298a8a2cdff | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $67,700 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 96 months. | 8,315,492.27 | [
"8,357,069.73",
"6,499,200.00",
"7,483,943.05"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 96 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 122.8285.
Step 3. FV = PMT × factor = 67,700 × 122.8285 = 8,315,492.27.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730571925,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730571925,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_176978_2d0f0cfec5e52d74 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $27,900 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 3,150,427.15 | [
"3,160,928.57",
"2,678,400.00",
"2,835,384.43"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 27,900 × 112.9185 = 3,150,427.15.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730579844,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730579844,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_177978_e316f5dde1e3687b | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $64,800 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,626,704.14 | [
"2,644,215.50",
"2,332,800.00",
"2,364,033.73"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 64,800 × 40.5356 = 2,626,704.14.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,644,215.50",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730587763,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730587763,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,626,704.14",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.\nStep 3. FV = PMT × factor = 64,800 × 40.5356 = 2,62... |
cosimo_CFA_Level_I_178978_0b409b6906e16916 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $21,500 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 2,427,748.52 | [
"2,435,841.01",
"2,064,000.00",
"2,184,973.67"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 21,500 × 112.9185 = 2,427,748.52.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,435,841.01",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730595682,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730595682,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,427,748.52",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.\nStep 3. FV = PMT × factor = 21,500 × 112.9185 = 2,... |
cosimo_CFA_Level_I_179978_f2d2bd73b1f3b1fa | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $31,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 2,781,821.44 | [
"2,798,048.73",
"2,246,400.00",
"2,503,639.30"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 31,200 × 89.1609 = 2,781,821.44.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730603601,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730603601,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_180978_9bf6c547cf7f5549 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $61,300 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 60 months. | 4,168,772.88 | [
"4,186,142.77",
"3,678,000.00",
"3,751,895.59"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 60 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 68.0061.
Step 3. FV = PMT × factor = 61,300 × 68.0061 = 4,168,772.88.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730611520,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730611520,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_181978_79b247b22c2bffac | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 60 months. | 5,025,821.70 | [
"5,055,138.99",
"4,212,000.00",
"4,523,239.53"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 60 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 71.5929.
Step 3. FV = PMT × factor = 70,200 × 71.5929 = 5,025,821.70.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730619439,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730619439,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_182978_51e369b71e6f72db | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,400 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 96 months. | 4,794,635.91 | [
"4,822,604.62",
"3,590,400.00",
"4,315,172.32"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 96 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 128.1988.
Step 3. FV = PMT × factor = 37,400 × 128.1988 = 4,794,635.91.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730627358,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730627358,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_183978_fd064dd0706f7b67 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $47,400 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 1,921,385.44 | [
"1,934,194.67",
"1,706,400.00",
"1,729,246.89"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 47,400 × 40.5356 = 1,921,385.44.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730635277,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730635277,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_184978_e749b2383ffe181d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $49,500 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 2,677,842.69 | [
"2,691,231.91",
"2,376,000.00",
"2,410,058.43"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 49,500 × 54.0978 = 2,677,842.69.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730643196,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730643196,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_185978_a51a1e5ad1a6df63 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $41,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 72 months. | 3,673,430.88 | [
"3,694,859.22",
"2,966,400.00",
"3,306,087.79"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 72 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 89.1609.
Step 3. FV = PMT × factor = 41,200 × 89.1609 = 3,673,430.88.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730651115,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730651115,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_186978_b902cf9536190231 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $37,300 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 36 months. | 1,467,236.72 | [
"1,474,572.90",
"1,342,800.00",
"1,320,513.04"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.
Step 3. FV = PMT × factor = 37,300 × 39.3361 = 1,467,236.72.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "1,474,572.90",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730659034,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730659034,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "1,467,236.72",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 36 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 39.3361.\nStep 3. FV = PMT × factor = 37,300 × 39.3361 = 1,46... |
cosimo_CFA_Level_I_187978_5428b489485989f2 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $47,300 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 96 months. | 6,331,983.98 | [
"6,374,197.20",
"4,540,800.00",
"5,698,785.58"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.
Step 3. FV = PMT × factor = 47,300 × 133.8686 = 6,331,983.98.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "6,374,197.20",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730666953,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730666953,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "6,331,983.98",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 96 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 133.8686.\nStep 3. FV = PMT × factor = 47,300 × 133.8686 = 6,... |
cosimo_CFA_Level_I_188978_2d42ca212adc8a0d | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $35,700 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 2,011,691.97 | [
"2,025,103.25",
"1,713,600.00",
"1,810,522.77"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.
Step 3. FV = PMT × factor = 35,700 × 56.3499 = 2,011,691.97.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,025,103.25",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730674872,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730674872,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,011,691.97",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.\nStep 3. FV = PMT × factor = 35,700 × 56.3499 = 2,01... |
cosimo_CFA_Level_I_189978_64e2b2df578d05cf | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,700 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 48 months. | 4,089,220.60 | [
"4,102,851.33",
"3,777,600.00",
"3,680,298.54"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.
Step 3. FV = PMT × factor = 78,700 × 51.9596 = 4,089,220.60.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "4,102,851.33",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730682791,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730682791,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "4,089,220.60",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 48 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 51.9596.\nStep 3. FV = PMT × factor = 78,700 × 51.9596 = 4,08... |
cosimo_CFA_Level_I_190978_e5bec4af083b903e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $21,200 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 2,289,578.39 | [
"2,302,934.26",
"1,780,800.00",
"2,060,620.55"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 21,200 × 107.9990 = 2,289,578.39.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730690710,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730690710,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_191978_9051ebeb56d2af2e | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $70,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 96 months. | 7,915,589.36 | [
"7,941,974.66",
"6,729,600.00",
"7,124,030.42"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 96 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 112.9185.
Step 3. FV = PMT × factor = 70,100 × 112.9185 = 7,915,589.36.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730698629,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730698629,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_192978_c3b54f485c514643 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $78,900 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 48 months. | 4,268,318.96 | [
"4,289,660.56",
"3,787,200.00",
"3,841,487.07"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 48 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 54.0978.
Step 3. FV = PMT × factor = 78,900 × 54.0978 = 4,268,318.96.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730706548,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730706548,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_193978_1f0cec47a75104a3 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $76,400 at the END of each month into an account paying 5% compounded monthly. Compute the future value after 108 months. | 10,393,700.16 | [
"10,437,007.25",
"8,251,200.00",
"9,354,330.15"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 5%/12 = 0.0042; 108 periods.
Step 1. Periodic rate r = 0.05/12 = 0.0042.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 136.0432.
Step 3. FV = PMT × factor = 76,400 × 136.0432 = 10,393,700.16.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730714467,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730714467,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_194978_42f7952a501ffb4f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $55,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 36 months. | 2,233,509.23 | [
"2,248,399.29",
"1,983,600.00",
"2,010,158.31"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 36 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 40.5356.
Step 3. FV = PMT × factor = 55,100 × 40.5356 = 2,233,509.23.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730722386,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730722386,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_195978_208e1753eb1b9343 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $65,000 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 120 months. | 10,652,157.54 | [
"10,705,418.33",
"7,800,000.00",
"9,586,941.79"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 120 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 163.8793.
Step 3. FV = PMT × factor = 65,000 × 163.8793 = 10,652,157.54.
Step 4. Deposits are END-of-month → ordinary annuity stands... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730730305,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730730305,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_196978_5fa31e3884b11cd7 | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $76,100 at the END of each month into an account paying 4% compounded monthly. Compute the future value after 60 months. | 5,045,352.24 | [
"5,062,170.08",
"4,566,000.00",
"4,540,817.02"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.
Step 1. Periodic rate r = 0.04/12 = 0.0033.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.
Step 3. FV = PMT × factor = 76,100 × 66.2990 = 5,045,352.24.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "5,062,170.08",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730738224,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730738224,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "5,045,352.24",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 4%/12 = 0.0033; 60 periods.\nStep 1. Periodic rate r = 0.04/12 = 0.0033.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 66.2990.\nStep 3. FV = PMT × factor = 76,100 × 66.2990 = 5,04... |
cosimo_CFA_Level_I_197978_518636806b59a8be | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $52,100 at the END of each month into an account paying 8% compounded monthly. Compute the future value after 48 months. | 2,935,830.57 | [
"2,955,402.78",
"2,500,800.00",
"2,642,247.52"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.
Step 1. Periodic rate r = 0.08/12 = 0.0067.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.
Step 3. FV = PMT × factor = 52,100 × 56.3499 = 2,935,830.57.
Step 4. Deposits are END-of-month → ordinary annuity stands. Di... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "2,955,402.78",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730746143,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730746143,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "2,935,830.57",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 8%/12 = 0.0067; 48 periods.\nStep 1. Periodic rate r = 0.08/12 = 0.0067.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 56.3499.\nStep 3. FV = PMT × factor = 52,100 × 56.3499 = 2,93... |
cosimo_CFA_Level_I_198978_e52d77dda89e31fb | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $12,800 at the END of each month into an account paying 7% compounded monthly. Compute the future value after 84 months. | 1,382,386.95 | [
"1,390,450.88",
"1,075,200.00",
"1,244,148.26"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 7%/12 = 0.0058; 84 periods.
Step 1. Periodic rate r = 0.07/12 = 0.0058.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 107.9990.
Step 3. FV = PMT × factor = 12,800 × 107.9990 = 1,382,386.95.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": null,
"method": "reference_code_exec",
"recomputed": true,
"seed": 730754062,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730754062,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | null |
cosimo_CFA_Level_I_199978_3450e4e4623e7a2f | CFA_Level_I | Quantitative Methods | Time Value of Money | L1_Easy | Calculation | A client deposits $36,400 at the END of each month into an account paying 6% compounded monthly. Compute the future value after 84 months. | 3,788,290.95 | [
"3,807,232.41",
"3,057,600.00",
"3,409,461.86"
] | ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.
Step 1. Periodic rate r = 0.06/12 = 0.0050.
Step 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.
Step 3. FV = PMT × factor = 36,400 × 104.0739 = 3,788,290.95.
Step 4. Deposits are END-of-month → ordinary annuity stands. ... | true | {
"answer_matches_recomputation": true,
"flawed_answer_concrete": "3,807,232.41",
"method": "reference_code_exec",
"recomputed": true,
"seed": 730761981,
"template": "tvm_annuity_fv"
} | {
"difficulty": "L1_Easy",
"generator": "tvm_annuity_fv",
"generator_version": "1.0.0",
"pitfalls_addressed": [
"annuity due vs ordinary",
"compounding frequency"
],
"question_type": "Calculation",
"seed": 730761981,
"source": "synthetic_template",
"subtopic": "Time Value of Money",
"topic":... | {
"chosen": {
"answer": "3,788,290.95",
"reasoning_trace": "ASSUMPTIONS: ordinary annuity (end-of-month); periodic rate 6%/12 = 0.0050; 84 periods.\nStep 1. Periodic rate r = 0.06/12 = 0.0050.\nStep 2. Ordinary-annuity FV factor = ((1+r)^n - 1)/r = 104.0739.\nStep 3. FV = PMT × factor = 36,400 × 104.0739 = 3,... |
End of preview. Expand in Data Studio
Cosimo: Synthetic CFA/FRM Financial Reasoning Dataset
Cosimo is a synthetic, code-verified financial-exam question dataset for training reasoning models and preference-tuned (DPO/ORPO) models. It contains 71,000 original, numerically-grounded questions spanning the CFA Level I–III and FRM Part 1/2 curricula, each with a step-by-step chain-of-thought reasoning trace.
Every numerical answer is computed by reference code, never sampled from a
language model. Reasoning traces are derived from the computed
intermediates, so they are numerically consistent by construction. About 35% of
records additionally carry a preference pair — a verified strong trace
(chosen) versus a flawed trace committing exactly one targeted pitfall error
(rejected) — ready for DPO/ORPO training.
This dataset was built for Cosimo, a project fine-tuning a compact model (Phi-4-mini-flash, 3.8B) into a financial-reasoning specialist using Unsloth.
Composition
| Program | Records | Split name |
|---|---|---|
| CFA Level I | 33,000 | cfa_level_i |
| CFA Level II | 12,000 | cfa_level_ii |
| CFA Level III | 9,000 | cfa_level_iii |
| FRM Part 1 | 10,000 | frm_part_1 |
| FRM Part 2 | 7,000 | frm_part_2 |
| Total | 71,000 |
Coverage spans 59 topic × subtopic cells across quantitative methods, fixed
income, derivatives, equity valuation, portfolio management, market/credit/
operational/liquidity risk, economics, FSA, ethics-adjacent performance topics,
and more. Question types: Calculation, Vignette, Constructed Response,
and MCQ. Difficulty tiers follow the program level (e.g. L1_Easy …
L3_Hard, FRM1_*, FRM2_*).
Configs
default — full records, one split per program
from datasets import load_dataset
ds = load_dataset("btech-software/cosimo-cfa-frm-71k", "default")
ds["cfa_level_i"][0]
Each record:
| Field | Description |
|---|---|
id |
cosimo_<program>_<seq>_<sha> — content hash of question + verified answer |
program |
CFA_Level_I … FRM_Part_2 |
topic / subtopic |
curriculum taxonomy cell |
difficulty |
tiered difficulty label |
question_type |
Calculation, Vignette, Constructed Response, MCQ |
question |
original question text |
answer |
correct answer (computed) |
distractors |
plausible wrong options (empty for constructed-response) |
reasoning_trace |
step-by-step CoT with formulas and explicit assumptions |
verified |
true — only verified records are shipped |
verification |
method, template, seed, recomputation flags |
metadata |
pitfalls addressed, generator name/version, seed |
preference_pair |
chosen/rejected traces + pitfall (null on ~65% of rows) |
preference_pairs — flattened DPO/ORPO rows
24,711 rows with prompt, chosen ({answer, reasoning_trace}), rejected
({answer, reasoning_trace}), and the named pitfall the rejected trace
commits (e.g. "geometric vs arithmetic", "annuity due vs ordinary", "sign
flip"). The rejected answer is guaranteed numerically different from the
correct answer.
prefs = load_dataset("btech-software/cosimo-cfa-frm-71k", "preference_pairs")
def to_dpo(row):
return {
"prompt": row["prompt"],
"chosen": row["chosen"]["reasoning_trace"],
"rejected": row["rejected"]["reasoning_trace"],
}
dpo = prefs["train"].map(to_dpo, remove_columns=prefs["train"].column_names)
Integrity guarantees
The full corpus passes a 4-axis verification gate (100% on all axes at release):
- Answers are computed, not guessed. Every template computes its result numerically; the verification gate re-runs the template from the stored seed and compares the recomputed answer to the persisted one.
- Traces are derived from computed numbers. Trace text references the already-computed intermediates and is byte-identical under deterministic recomputation.
- Concrete preference pairs. Every
rejectedanswer is verified to differ numerically from the correct answer. - Clean distractors. No distractor numerically equals the correct answer.
Generation is deterministic per (program, template, variant) with
content-hashed IDs, so every record is independently reproducible from its
stored seed.
Limitations
- Structural novelty is bounded by 71 distinct question stems (templates);
within a stem, records differ in sampled numbers, entities, and phrasing.
Deduplicate by
metadata.generatorif you need stem-level splits. - Content is synthetic exam-style material aligned to public learning objectives; it is not a substitute for official curriculum or mock exams.
- English only.
Provenance and trademarks
All questions are original synthetic content generated from independently written templates inspired only by publicly available learning outcome statements. No proprietary CFA Institute or GARP exam items were used. CFA® is a registered trademark of CFA Institute; FRM® is a registered trademark of the Global Association of Risk Professionals (GARP). This dataset is not affiliated with, endorsed by, or sponsored by CFA Institute or GARP.
License
MIT. Attribution appreciated:
@misc{cosimo2026,
title = {Cosimo Financial Dataset: A Synthetic, Code-Verified CFA/FRM Financial Reasoning Dataset},
author = {Sant'Anna, Bruno},
year = {2026},
url = {https://huggingface.co/datasets/btech-software/cosimo-cfa-frm-71k}
}
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