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Mary buys a 10 year bond with face value F, semiannual coupon rate 1.5%, and semiannual yield rate 2%. She wants to reinvest the semiannual

Mary buys a 10 year bond with face value F, semiannual coupon rate 1.5%, and semiannual yield rate 2%. She wants to reinvest the semiannual coupons into a fund earning a semiannual interest rate of i = 3.36% so that her non time valued net profit at maturity (A.V. of coupons + face value at maturity bond price) is $5, 000. Find the face value of the bond.

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