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The YTM on a 6-month $50 par value zero-coupon bond is 17.4%, and the YTM on a 1-year $100 par value zero-coupon bond is 19.5%.

The YTM on a 6-month $50 par value zero-coupon bond is 17.4%, and the YTM on a 1-year $100 par value zero-coupon bond is 19.5%. Furthermore, the YTM on a 1.5-year $100 par value zero-coupon bond is 21.9%, and the YTM on a 2-year $100 par value zero-coupon bond is 23.7%. These YTMs are semiannual BEYs. What would be the arbitrage-free price of a 2-year bond with the coupon rate of 20% (semiannual payments) and par value of $10,000? Assume that this bond is issued by the same company as the zero-coupon bonds. Round your answer to 2 decimal places. For example, if your answer is 25.689, please write down 25.69.

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