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The YTM on a 6-month $100 par value zero-coupon bond is 18%, and the YTM on a 1-year $100 par value zero-coupon bond is 20%.

The YTM on a 6-month $100 par value zero-coupon bond is 18%, and the YTM on a 1-year $100 par value zero-coupon bond is 20%. These YTMs are semiannual BEYs.

What would be the arbitrage-free price of a 1-year annuity that makes semiannual payments of $100? Assume that the annuity is issued by the same company as the zero-coupon bonds.

What is the YTM on the annuity?

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