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What is the value of a zero coupon bond with YTM of 8% and 5 years to maturity?

Question

What is the value of a zero coupon bond with YTM of 8% and 5 years to maturity?

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Solution

To calculate the value of a zero-coupon bond, you can use the formula:

Value = Face Value / (1 + YTM)^n

Where:

  • Face Value is the value of the bond at maturity, typically $1000.
  • YTM is the Yield to Maturity, given as a decimal (so 8% would be 0.08).
  • n is the number of years until maturity.

Assuming a face value of $1000, the calculation would be:

Value = $1000 / (1 + 0.08)^5

This will give you the present value of the bond.

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