Present Value and Bond Valuation
1. Compute the future value for the following:
a. $2,000 after being invested for two years in a savings account with 3% interest rate
b. $5,000 after being invested for ten years in a savings account with a 1% interest rate
c. $3,500 after being invested for nine years in a savings account with an 11% interest rate
2. Compute the present value for the following:
a. $3,000 to be paid in one year with a 9% discount rate
b. $3,000 to be paid in three years with a 9% discount rate
c. $4,000 to be paid in ten years with a 5% discount rate
3. Compute the present value for the following:
a. An investment that will pay you $1,000 in one year, another $1,000 in two years, and a third payment of $1,000 in three years (e.g., three payments of $1,000 to be paid once a year for three years). The discount rate is 4%.
b. The same three $1,000 payments as in part a) above, but with a 6% discount rate
c. An investment that will pay you $2,000 in one year, another $1,500 in two years, and a third payment of $3,000 in three years. The discount rate is 4%.
4. Compute the value of the following bonds assuming a 3% discount rate (required rate of return):
a. A zero-coupon bond that pays $1,000 in five years
b. A bond that pays $1,000 in five years, with five annual coupon payments of $20 each
c. What is the coupon rate if coupon payments are $20 per year? At what discount rate would the value of the bond be “at par” (e.g., be worth $1,000?). Explain your reasoning.
5. This part of the assignment is purely conceptual with no computations required. Explain the following with references to the required readings:
a. What is likely to happen to interest rates if the rate of inflation suddenly increases?
b. Suppose there are two bonds each with coupon payments of $50. The first bond pays $1,000 in five years, and the other one pays $1,000 in ten years. If interest rates increased, would the value of the bonds increase or decrease? Which of the two bonds would have their value change more after the increase in interest rates? Explain your reasoning.