Assume that there are two three-year bonds with face values equaling $1000. The coupon rate of Bond

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Assume that there are two three-year bonds with face values equaling $1000. The coupon rate of Bond A is 0.05 and 0.08 for Bond B. A third Bond C also exists, with a maturity of two years. Bond C also has a face value of $1000; it has a coupon rate of 11%. The prices of the three bonds are $878.9172, $955.4787, and $1055.419, respectively.

a. What are the spot rates implied by these bonds?

b. Find a portfolio of Bonds A, B, and C which would replicate the cash flow structure of Bond D, which has a face value of $1000, a maturity of three years, and a coupon rate of 3%.

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