Settling Multiple Debts: Calculation and Payment - CFA® Level 1 Exam Prep

Calculate Single Payment to Settle Multiple Debts

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Question

If you owe 3 debts ($800 due 3 months from now, $900 due 7 months from now, and $1,200 due 11 months from now), what single payment can you make today to settle them, if interest is assessed at 10% per year, compounded monthly?

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A. B. C. D. E.

D

Find the answer to this question by solving 3 compound interest problems. On the BAII Plus, press 3 N, 10 divide 12 = I/Y, 0 PMT, 800 FV, CPT PV which yields

$849.21. Then press STO 1. Then press 7 N, 900 FV, CPT PV, which yields $780.33. Then press + RCL 1 = STO 1. Then press 11 N, 1200 FV, CPT PV, which yields $1,095.31. Press + RCL 1 = to see the answer. On the HP12C, press 3 n, 10 ENTER 12 divide i, 0 PMT, 800 FV, PV. Then press STO 1. Then press 7 n,

900 FV, PV. Then press RCL 1 + STO 1. Then press 11 n, 1200 FV, PV. Press RCL 1 + to see the answer. Make sure the BAII Plus has the P/Y value set to 1.