Time Value of Money Problems

  1. Find the following values without using tables, and then work the problems with tables to check your answers.

    1. An initial $300 compounded for 1 year at 8 percent.
    2. An initial $300 compounded for 1 year at 8 percent.
    3. The present value of $300 due in 1 year at a discount rate of 8 percent.
    4. The present value of $300 due in 2 years at a discount rate of 8 percent.
  2. Use the tables to find the following values.

    1. An initial $300 compounded for 10 years at 8 percent.
    2. An initial $300 compounded for 10 years at 16 percent.
    3. The present value of $300 due in 10 years at a 8 percent discount rate.
    4. The present value of $1,323.42 due in 10 years at a 16 percent discount rate.
  3. Which amount is worth more at 10 percent: $1,000 in hand today or $2,000 due after 8 years?

  4. Graper Corporation’s 1997 sales were $6 million. Sales were $3 million 5 years earlier ( in 1992). To the nearest percentage point, at what rate have sales been growing?

  5. Oregon-Pacific invests $1 million to clear a tract of land and to set out some young pine trees. The trees will mature in 10 years, at which time Oregon-Pacific plans to sell the forest at an expected price of $3.1 million. To the nearest percent, what is Oregon-Pacific’s expected rate of return?

  6. A bank offers to lend you $1,000 at a 10 percent annual rate of interest. The loan plus interest is due at the end of 5 years. What will you owe?

  7. Your goal is to have $10,000 so that you will be able to start a small business, but you have only $7,473 today. I you can get an rate of 6 percent annually if you place this sum at interest, how long will it be before you can start your business?

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