CFA Level 1: Time Value of Money and Compound Interest

Solving for Future Value with Compound Interest

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Question

If you already have $500 in a savings account, how much must you deposit 4 years from now in order to have $5,000 in 8 years, assuming the account earns interest at 10% per year, compounded annually?

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Explanations

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A. B. C. D. E.

C

The way to approach this question is to find the PV today of the $5,000 amount, determine the difference between this PV and the existing $500 amount in the account, and then move this difference out to the 4 year from now point. On the BAII Plus, press 8 N, 10 I/Y, 0 PMT, 5000 FV, CPT PV. Then press + 500 =. Then press PV, 4 N, CPT FV to see the answer. On the HP12C, press 8 n, 10 i, 0 PMT, 5000 FV, PV. Then press 500 +. Then press PV, 4 n, FV to see the answer.

Make sure the BAII Plus has the P/Y value set to 1.