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Suppose the six month spot rate is 10.9% and the six month forward rate beginning in six months is 10.1%. What is the price of

Suppose the six month spot rate is 10.9% and the six month forward rate beginning in six months is 10.1%. 

What is the price of a 1 year bond paying a coupon of 5.7%? 

Assume coupons are paid semi-annually and the face value of the bond is $1,000.  Assume rates are expressed BEY. 

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