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Stein Co. issued 15-year bonds two years ago at a coupon rate of 5.4 percent. The bonds make semiannual payments. If these bonds currently sell for 94 percent of par value, what is the annual YTM

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Tundexi

The annual YTM will be 3.07% if the bonds make semiannual payments and sell for 94 percent of par value.

Given data

Coupon rate (CR) = 5.4%

Current price (B0) = 94%

Assuming maturity value (MV) = 100%

Years to maturity (n) = 15.

What is the Annual YTM?

YTM = CR + ((MV − B0)/n) / ((MV + B0)/2)

YTM = 5.4% + (100% - 94%)/15) / (100% + 94%)/2)

YTM = 0.054 + (-0.03866666666) / 0.97

YTM = 0.01533333334 / 0.97

YTM = 0.015333 * 2

YTM = 0.030666

YTM = 3.07%

In conclusion, the annual YTM will be 3.07% if the bonds make semiannual payments and sell for 94 percent of par value.

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