The YTM on a 6-month $50 par value zero-coupon bond is 17.5%, and the YTM on a 1-year $100 par value zero-coupon bond is 19.2%. Furthermore, the YTM on a 1.5-year $100 par value zero-coupon bond is 21.7%, 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 a 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.