5.1

5.4

Study Problems 5-1. (Compound interest) To what amount will the following investments accumulate? a. $5,000 invested for 10 years at 10 percent compounded annually b. $8,000 invested for 7 years at 8 percent compounded annually c. $775 invested for 12 years at 12 percent compounded annually d. $21,000 invested for 5 years at 5 percent compounded annually 5-2. (Compound value solving for n) How many years will the following take? a. $500 to grow to $1,039.50 if invested at 5 percent compounded annually b. $35 to grow to $53.87 if invested at 9 percent compounded annually c. $100 to grow to $298.60 if invested at 20 percent compounded annually d. $53 to grow to $78.76 if invested at 2 percent compounded annually 5-3. (Compound value solving for r) At what annual rate would the following have to be invested? a. $500 to grow to $1,948.00 in 12 years b. $300 to grow to $422.10 in 7 years c. $50 to grow to $280.20 in 20 years d. $200 to grow to $497.60 in 5 years 5-4. (Present value) What is the present value of the following future amounts? a. $800 to be received 10 years from now discounted back to the present at 10 percent b. $300 to be received 5 years from now discounted back to the present at 5 percent c. $1,000 to be received 8 years from now discounted back to the present at 3 percent d. $1,000 to be received 8 years from now discounted back to the present at 20 percent 5-5. (Compound annuity) What is the accumulated sum of each of the following streams of payme a. $500 a year for 10 years compounded annually at 5 percent b. $100 a year for 5 years compounded annually at 10 percent c. $35 a year for 7 years compounded annually at 7 percent d. $25 a year for 3 years compounded annually at 2 percent