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Valuation of bond with annual and semiannual coupon payments

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Suppose that 5-year government bonds are selling on a yield of 4 percent. Value a 5-year bond with a 6 percent coupon. Start by assuming that the bond makes annual coupon payments. Then rework your answer assuming that the same bond pays semiannual coupons and the yield refers to a semiannually compounded rate.
Further, how would the bond value in each case change if interest rates fall to 3 percent?

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This solution is comprised of a detailed explanation to answer how would the bond value in each case change if interest rates fall to 3 percent.

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Valuation of bond with annual and semiannual coupon payments
Suppose that 5-year government bonds are selling on a yield of 4 percent. Value a 5-year bond with a 6 percent coupon. Start by assuming that the bond makes annual coupon payments. Then rework your answer assuming that the same bond pays semiannual coupons and the yield refers to a semiannually compounded rate. ...

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