Callable and Convertible Features

Some bonds come with special features that benefit either the issuer or the investor. These embedded options affect a bond's yield, price, and risk profile.

Callable Bonds

A callable bond gives the issuer the right to redeem (call) the bond before maturity:

• The issuer can redeem the bond early at a specified call price (usually slightly above par)
• Issuers call bonds when interest rates fall; they refinance their debt at lower rates
• The period during which the bond cannot be called is the call protection period

Think of it this way: A callable bond works like a home mortgage. When rates drop, the homeowner (issuer) refinances to get a cheaper loan. The old lender (bondholder) loses that steady income stream and has to find somewhere else to put the money; probably at a lower rate.

Impact on Investors

• Reinvestment risk is the primary concern; when a bond is called, investors receive their principal back and must reinvest at lower prevailing rates
• Callable bonds offer higher yields than comparable non-callable bonds to compensate for call risk
• The yield to call (YTC) calculation uses the call price and call date instead of par and maturity

Exam Tip: Gotchas

• Callable bonds benefit the ISSUER, not the investor. The issuer holds the option to call.
• Callable bonds have HIGHER yields than comparable non-callable bonds; investors demand compensation for call risk.
• Reinvestment risk is the key risk for callable bond investors; they get principal back when rates are low.

When Are Bonds Called?

Exam Tip: Gotchas

• Issuers call bonds when rates FALL (to refinance cheaper). If rates rise, they keep paying the old, lower coupon.

Convertible Bonds

A convertible bond gives the bondholder the right to convert the bond into common stock:

• The bondholder can exchange the bond for a specified number of common stock shares
• Offer lower coupon rates than comparable non-convertible bonds (the conversion privilege has value)
• Provide a hybrid of bond income and equity upside

Exam Tip: Gotchas

• Convertible bonds benefit the INVESTOR, not the issuer. The bondholder holds the conversion option.
• Convertible bonds have LOWER yields than comparable non-convertible bonds; the conversion privilege itself has value, so investors accept a lower coupon.

Key Terms

• Conversion ratio = Par value / Conversion price (the number of shares per bond)
• Conversion value = Current stock price x Conversion ratio (what the bond is worth if converted right now)
• Conversion premium = Bond price - Conversion value (the extra investors pay to hold the bond rather than convert immediately)

The word "premium" reflects that the bond normally trades above its raw conversion value:

• Why investors pay it: Holding the bond gives them a coupon stream and a price floor (the bond's value as a straight bond, which limits downside if the stock drops). Converting immediately gives up both.
• What a negative result would mean: The bond is trading below its conversion value, creating an arbitrage opportunity (buy the bond, convert, sell the shares). Rare in practice because arbitrageurs close the gap quickly.

Exam Tip: Gotchas

• Conversion ratio = Par value / Conversion price (not the other way around). A $1,000 bond with a $50 conversion price = 20 shares, not $50 / $1,000.
• Conversion premium is normally positive. It is the extra value of holding the bond (coupon income + bond floor) above its raw conversion value. If the question gives you a bond price and conversion value, the premium is simply the difference.

When Does Conversion Make Sense?

• Conversion is attractive when the stock price rises above the conversion price
• The bond provides a floor value (its value as a straight bond) even if the stock drops
• Investors benefit from equity upside while retaining bond-like downside protection

Example: A $1,000 convertible bond with a conversion price of $40:

• Conversion ratio = $1,000 / $40 = 25 shares
• If stock trades at $50: conversion value = 25 x $50 = $1,250 (conversion is attractive)
• If stock trades at $30: conversion value = 25 x $30 = $750 (hold the bond instead)

Callable vs. Convertible Comparison