Valuing call option on bond

Valuing call option on bond

By: Azver Date: 09.07.2017

Founded in by brothers Tom and David Gardner, The Motley Fool helps millions of people attain financial freedom through our website, podcasts, books, newspaper column, radio show, and premium investing services. If a bond is "callable," it means that the issuer has the right to buy the bond back at a predetermined date before its full maturity date.

Bond Pricing, Valuation, Formulas, and Functions in Excel

The call could happen at the bond's face value, or the issuer could pay a premium to bondholders if it decides to call its bonds early. For callable bonds, knowing the coupon rate and yield to maturity only tells you part of the story.

To make informed investment decisions, you need to know what the bond's yield would be if it were called, since oftentimes this is lower than the other yield figures might lead you to believe.

With that in mind, here's how to calculate yield to call for your bonds. Calculating yield to call Because bonds don't usually trade for exactly their face value or call price, calculating yield-to-call YTC has to take two main factors into account. First, there is the obvious yield that comes from the interest payments you'll get between now and the call date.

In addition, there is a component of yield that comes from the difference between the bond's market price and the payment you would get if the bond were to be called. Looking at the numerator of this formula, the left side coupon interest payment accounts for the annual dividend payments and the right side annualized the discount or premium you would pay to buy the bond.

Putting this together gives you the total annual effective interest from now until the call date. Finally, dividing by the average of the call price and the market value will convert this annual interest amount into a rate.

Multiply the final result by to convert to a percentage. So, since you were able to buy this bond at a discount to par value, its yield to call is actually more than if you hold the bond to maturity.

Pricing Bonds

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The Value of the Call Option on a Bond on JSTOR

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valuing call option on bond

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How to Calculate Yield for a Callable Bond If your bonds are callable, you need to know how the potential call affects your yield. Here is the YTC formula, followed by some information about it: How to Invest in Stocks. Prev 1 2 3 4 Next.

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