Question 8.5: Highland Corp., a U.S. company, has a five-year bond whose y...

Highland Corp., a U.S. company, has a five-year bond whose yield to maturity is 6.5 percent. The bond has no coupon payments. What is the price of this zero coupon bond?

Question Data is a breakdown of the data given in the question above.
  • Company: Highland Corp.
  • Country: U.S.
  • Bond type: Five-year bond
  • Yield to maturity: 6.5 percent
  • Coupon payments: None
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Final Answer

You have the following information about Highland’s bonds:
YTM = 6.5%
No coupon payments
Most U.S. bonds pay interest semiannually. Thus m × n2 × 510 and i/20.065/20.0325.
Using Equation 8.3,we obtain the following:

P_B=\frac{F_{mn}}{(1+i/m)^{mn}}                         8.3

 

=\frac{\$1,000}{(1+0.0325)^{10}}

 

=\$726.27

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