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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

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 EAR
6 months 3.69 %
12 months 4.13
18 months 4.81
24 months 5.53

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.)
b. Suppose shortly after you purchased the forward contract all rates increased by 25 basis points. For example, the six-month rate increased from 3.69 percent to 3.94 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.)

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