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. Time 6 months 12 months 18 months 24 months EAR 3.70% 4.14 4.82 5.54 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 3.70 percent to 3,90 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