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The Petit Chef Co. has 11.3 percent coupon bonds on the market with eight years left to maturity. The bonds make annual payments and have a par value of $1,000. If the bonds currently sell for $1,127.30, what is the YTM?

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Answer:

The yield to maturity is 9.127%

Step-by-step explanation:

The yield to maturity is the yield or return on the bond as a percentage of its current price in the market. The formula to calculate the yield to maturity is:

YTM = C + {(F - P) / n} / {(F + P) / 2}

Where,

  • C is the coupon payment / interest payment on the bond
  • F is the face value of the bond
  • P is the current market price of the bond
  • n is the years to maturity

The coupon payment = 1000 * 0.113 = 113 per year

So, YTM = 113 + {(1000 - 1127.3) / 8} / {(1000 + 1127.3) / 2}

YTM = 0.09127 or 9.127%

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