Why a Higher Call Price Raises the Value of a Callable Bond
Summary
The document explains why, all else equal, a callable bond can be worth more to its investor when its call price is higher. One answer compares the embedded call feature to a put-like protection: with a higher call value, interest rates must fall further before the issuer has an incentive to call the bond. That makes the call feature less damaging to the investor.
A second answer frames the bond as an ordinary bond combined with a short call. Raising the call strike reduces the value of the call held by the issuer, so the investor’s position—ordinary bond value minus the embedded call value—increases. Together, these explanations show how the issuer’s redemption right affects the bond’s price. The exchange is conceptual and does not provide a valuation formula or quantify the effect; its conclusion is conditional on other bond characteristics remaining unchanged.
Key ideas
- A callable bond can be viewed as an ordinary bond minus the issuer’s embedded call option.
- A higher call price reduces the value of that embedded call, all else equal.
- The issuer would need a larger decline in interest rates before calling at the higher price.
- A less valuable call feature increases the bond’s value to its investor.
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Full text
# Why is higher the call price, the higher the price of a callable bond? # Why is higher the call price, the higher the price of a callable bond? I am preparing for FRM level 2, but I ran into a question whose answer was confusing to me: In the answer, it says "all other things remaining the same, the higher the call price, the higher the price of a callable bond." I thought a higher call price is benefit to the seller and harmful to the investor, why does a higher call price lead to a higher callable bond price? Is it because for a callable bond with a higher call price, the seller will have to pay more to the investors, therefore the price of the callable bond with a high call price is higher? Please correct me my understanding is not correct, thank you so much! ## Answer by Chris (score 1, accepted) https://quant.stackexchange.com/a/49581 A callable bond is a little like a put. Companies issue them to protect against a drop in interest rates, and with a higher call price, interest rates need to drop even further to be called. In essence, in the same way a put with a lower strike is more desirable to a buyer, a callable bond with higher call value will be priced higher than otherwise equivalent bonds. ## Answer by Alex C (score 1) https://quant.stackexchange.com/a/49584 To the investor, a callable bond can be seen a ordinary bond plus a short position in a call. If the strike price is higher, the call has less value, and the "package" ordinary bond minus call has more value.
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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.