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The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of face value): Maturity (years)12345Price (per $100 face value)94.5289.6885.4081.6578.35The yield to maturity for the two-year zero-coupon bond is closest to:a.5.8%.b.5.1%.c.5.5%.d.5.6%.e.6.0%.

Question

The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of face value): Maturity (years)12345Price (per $100 face value)94.5289.6885.4081.6578.35The yield to maturity for the two-year zero-coupon bond is closest to:a.5.8%.b.5.1%.c.5.5%.d.5.6%.e.6.0%.

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Solution

The correct answer is c. 5.5%.

Here's the step-by-step calculation:

  1. The yield to maturity (YTM) of a zero-coupon bond can be calculated using the formula:

    YTM = [(Face Value / Price)^(1/n)] - 1

    where Face Value is the bond's face value, Price is the bond's current price, and n is the number of years to maturity.

  2. In this case, the face value is 100,thepriceis100, the price is 89.68 (for the two-year bond), and n is 2.

  3. Plugging these values into the formula gives:

    YTM = [(100 / 89.68)^(1/2)] - 1

  4. Calculating this gives a YTM of approximately 5.5%.

So, the yield to maturity for the two-year zero-coupon bond is closest to 5.5%.

This problem has been solved

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