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At t = 0 you buy a 10-year, 5% coupon bond, when the bond's YTM is Z, where Z is greater than 5%. Each time

At t = 0 you buy a 10-year, 5% coupon bond, when the bond's YTM is Z, where Z is greater than 5%. Each time you receive a coupon you invest and rollover that coupon at an annual rate of Z. At t = 4 you sell the bond and the bond's YTM is less than Z, but greater than 5%. Which of the following statements is necessarily true about the realized compound yield from t = 0 to t = 4?

A) The realized compound yield is lower than Z

B) The realized compound yield is greater than Z

C) The realized compound yield is equal to 5%

D) None of the above is necessarily true

E) The realized compound yield is equal to Z

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