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Suppose a $100,000 T-Bond futures contract whose underlying bonds duration is 4 years and has a current market price of $98,775. Market interest rates are

Suppose a $100,000 T-Bond futures contract whose underlying bonds duration is 4 years and has a current market price of $98,775. Market interest rates are 3 percent today but are expected to rise to 4 percent. What is the expected change in this futures contract's market price as a result of this change in interest rates? [Alert: watch its sign + or -]

Please show your work and write your answers with two decimal points

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