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You find a zero coupon bond with a par value of $10,000 and 14 years to maturity. The yield to maturity on this bond is 5.1 percent. Assume semiannual compounding periods. What is the price of the bond

Answer :

Shahzaibfaraz

Answer:

Bond Price = $4940.8468 rounded off to $4940.85

Explanation:

The price of a zero coupon bond is simply calculated by calculating the present value of the face value of the bond that the bond pays at maturity. The formula for the price of a zero coupon bond is,

Bond Price = Face Value / ( 1 + r )^n

Where,

  • r is the rate or YTM
  • n is the number of periods left to maturity

Assuming that the r or YTM is always stated in annual terms, the semi annual YTM will be 5.1% / 2 = 2.55%

Assuming semi annual compounding periods, the total number of periods or n will be,

n = 14 * 2 = 28

Bond Price = 10000 / (1 + 0.0255)^28

Bond Price = $4940.8468 rounded off to $4940.85

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