Find the future value of a ten-year annuity


Problem 1: Juan Garza invested $20,000 10 years ago at 12 percent, compounded quarterly. How much has he accumulated?

Problem 2: What is the future value of a 10-year annuity of $4,000 per period where payments come at the beginning of each period? The interest rate is 12 percent.

Problem 3: You need $28,974 at the end of 10 years, and your only investment outlet is an 8 percent long-term certificate of deposit (compounded annually). With the certificate of deposit, you make an initial investment at the beginning of the first year.

a. What single payment could be made at the beginning of the first year to achieve this objective?

b. What amount could you pay at the end of each year annually for 10 years to achieve this same objective?

Problem 4: On January 1, 2002, Mike Irwin, Jr., bought 100 shares of stock at $14 per share. On December 31, 2004, he sold the stock for $21 per share. What is his annual rate of return? Interpolate to find the exact answer.

Problem 5: Bridget Jones has a contract in which she will receive the following payments for the next five years: $1,000, $2,000, $3,000, $4,000, and $5,000. She will then receive an annuity of $8,500 a year from the end of the 6th through the end of the 15th year. The appropriate discount rate is 14 percent. If she is offered $30,000 to cancel the contract, should she do it?

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Finance Basics: Find the future value of a ten-year annuity
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