What would the arbitrage-free price of a 1-year bond?

The YTM on a 6-month $20 par value zero-coupon bond is 18%, and the YTM on a 1-year $20 par value zero-coupon bond is 20%.…

The YTM on a 6-month $20 par value zero-coupon bond is 18%, and the YTM on a 1-year $20 par value zero-coupon bond is 20%. These YTMs are semiannual BEYs. What would be the arbitrage-free price of a 1-year bond with coupon rate of 20% (semiannual payments) and par value of $1000? Assume that this bond is issued by the same company as the zero-coupon bonds.
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