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# Time Value of Money Concepts

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A. After a protracted legal case, Joe won a settlement that will pay him \$11,000 each year at the end of the year for the next ten years. If the market interest rates are currently 5%, exactly how much should the court invest today, assuming end of year payments, so there will be nothing left in the account after the final payment is made?

B. Mary just deposited \$33,000 in an account paying 7% interest. She plans to leave the money in this account for eight years. How much will she have in the account at the end of the seventh year?

C. Mary and Joe would like to save up \$10,000 by the end of three years from now to buy new furniture for their home. They currently have \$1500 in a savings account set aside for the furniture. They would like to make three equal year end deposits to this savings account to pay for the furniture when they purchase it three years from now. Assuming that this account pays 6% interest, how much should the year end payments be?

#### Solution Preview

A. After a protracted legal case, Joe won a settlement that will pay him \$11,000 each year at the end of the year for the next ten years. If the market interest rates are currently 5%, exactly how much should the court invest today, assuming end of year payments, so there will be nothing left in the account after the final payment is made?

Annual payment=R=\$11000
Interest rate=i=5%
Number of annual payments=n=10

Payments are made at the end of period. It is a case of ordinary annuity.

Court should deposit the amount equal to present value of above ordinary annuity.
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#### Solution Summary

There are three problems. Solutions to these problems explain the steps to calculate present value of annuity, future value of a lump sum amount and annual installments.

\$2.19