This morning you agreed to buy a one-year Treasury bond in six months. The bond has a face value of $1,000. Use the spot interest rates listed here to answer the following questions EAR 3.63% 4.07 4.75 5.47 Time 6 months 12 months 18 months 24 months a. What is the forward price of this contract? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Forward price b. Suppose shortly after you purchased the forward contract all rates increased by 20 basis points. For example, the six-month rate increased from 3.63 percent to 3.83 percent. What is the price of a forward contract otherwise identical to yours given these changes? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Forward price