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Suppose that for a Treasury bond futures contract, the cheapest-to-deliver bond is a 4% coupon bond with a quoted price of 114.50 and conversion factor

Suppose that for a Treasury bond futures contract, the cheapest-to-deliver bond is a 4% coupon bond with a quoted price of 114.50 and conversion factor of 1.3150. The futures contract matures in six months and the next coupon will be paid in six months. There is no accrued interest. The six-month risk-free interest rate is 5%. What is the value of the Treasury bond futures contract?

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