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Claudine Corporation will deposit $5,000 into a money market account at the end of each year for the next five years. How much will accumulate by the end of the fifth and final payment of the account earns 9% interest? Multiple Choice

О$32,617.
О $29,924.
О $27250.
О $26,800.

User FatDaemon
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Final answer:

The student's question relates to the calculation of the future value of an annuity with annual deposits of $5,000 at a 9% interest rate. The correct answer, given the choices, is approximately $29,924.

Step-by-step explanation:

The student is asking about the future value of an annuity due to regular deposits made into a money market account earning a 9% interest rate.

This is a finance problem that involves the future value of an annuity formula, where a fixed amount is deposited regularly over a certain period of time. Since the problem states that $5,000 is deposited annually for 5 years, we can calculate the total amount accumulated using the annuity formula:

Future Value of Annuity (FVA) = Pmt × {[(1 + r)n - 1] / r}

Where Pmt is the annual payment ($5,000), r is the interest rate per period (which is 0.09 here), and n is the number of payments (which is 5).

Calculating it: FVA = $5,000 × {[(1 + 0.09)5 - 1] / 0.09}

After computing the values, the answer turns out to be approximately $29,000, making the correct option from the given choices $29,924.

User Erik Hinton
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