Use the following information for questions 1 to 4. The 5-year, 7-year, and 10-year zero rates are 6%, 8%, and 9%. The rates are given per annum with annual compounding.

1. What are the zero coupon bond prices with maturities of 5 years, 7 years, and 10 years? (Assume that you receive a face value of $100 for each of these bonds on their maturity dates).

2. What is the forward rate for an investment initiated 5 years from today and maturing 10 years from today? (Give your answer per annum with continuous compounding)?

3. What is the forward rate for an investment initiated 5 years from today and maturing 7 years from today? (Give your answer per annum with annual compounding)?

4. What is the forward rate for an investment initiated 7 years from today and maturing 10 years from today? (Give your answer per annum with continuous compounding)?