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A 2-year 10% annual coupon bond of a company is trading at $1066.14 per $1000 face value. A 2-year zero coupon bond of the same

A 2-year 10% annual coupon bond of a company is trading at $1066.14 per $1000 face value. A 2-year zero coupon bond of the same issuer is trading at $907.03 per $1000 face value. Use no-arbitrage arguments to find what should be the price of a 1-year zero coupon bond of the same issuer for $100 face value?

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