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To value an option-free bond, we must determine the on-the-run yield curve for the particular issuer whose bond we have to value. This on-the-run yield curve used for valuation process is considered as the benchmark interest rates.
Let us consider the following on-the-run issue. The illustration deals with an option-free bond with four years remaining to maturity and a coupon rate of 6.5%.
Maturity
Yield to Maturity (%)
Market Price (in $)
1 year
3.4
100
2 years
3.9
3 years
4.7
4 years
5.0
Each bond is trading at par value i.e., at $100, so the coupon rate is equal to the yield to maturity.
Using the bootstrapping method, the spot rates are determined as follows:
Years
Spot Rates (%)
1
3.3000
2
3.9098
3
4.8120
4
5.0586
Using spot rates, we can calculate the present value of the cash flows.
= $105.374
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We have seen the valuation of bonds with embedded option using binomial model. This method can be used when cash flows do not depend on how interest rates evolve.
Yield to call is the yield that would be realized on a callable bond assuming the issuer of the bond redeems it before maturity. A bond's call provision is detail
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