Callable Bond in a Falling-Rate Environment
You manage a $400 million fixed-income fund. You hold $10 million face value of a 7-year, 5.00% semiannual-coupon bond purchased at par. The issuer may call the bond at 102 after year 3, at 101 after year 4, and at 100 after year 5. A comparable non-callable 7-year bond yields 4.20% to maturity. Your base case is that yields fall 80 basis points over the next 12 months and credit spreads are unchanged. A dealer offers a non-callable 7-year bond with a 4.55% coupon at 100. Your mandate allows duration extension but limits below-investment-grade exposure to 10%; both issuers are A-rated. The callable bond is now priced at 104.81 per 100 of par. The fund's benchmark duration is 6.0 years. You are considering a switch.
1. Compute the yield-to-first-call and compare it with the yield to maturity. Which measure should drive the hold/sell decision?
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At a price of 104.81, the yield to maturity is 4.20% by construction. For the first call after three years, the cash flows are six semiannual coupons of 2.50 and a call price of 102. Solve 104.81 = 2.50 × annuity(6, y/2) + 102/(1 + y/2)^6. The semiannual yield is about 1.96%, so the annual yield-to-first-call is about 3.9%. Since the bond trades above par and above the call price, the market is pricing a likely call. The yield-to-worst is therefore about 3.9%, not 4.20%. A relative-value decision should use yield-to-worst because the investor is unlikely to receive the 4.20% yield to maturity if rates fall as expected.
2. If yields fall 80 basis points immediately and the bond is called at the first call date, estimate the 12-month total return. Compare that with switching to the non-callable bond.
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If yields fall 80 bp, the callable bond is likely to be called. Over 12 months, the investor receives the 5.00 coupon and the price is pulled toward 102, producing 5.00 + (102 − 104.81) = 2.19%. The non-callable 4.55% bond at 100 benefits from the rate decline. After one year it is a 6-year bond yielding about 3.40% (4.20% − 0.80%). Its approximate price is 2.275 × annuity(12, 1.7%) + 100/(1.017)^12 ≈ 106.2, so the total return is about 4.55 + 6.2 = 10.7%. The switch is compelling if the rate view is correct: the callable bond's upside is capped by the call, while the non-callable bond retains price appreciation.
3. What is the main risk in switching if the rate view is wrong?
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The main risk is that yields rise instead of fall. The non-callable bond has a lower coupon and longer duration than the callable bond at current prices, so its price will fall more for a given upward yield move. The callable bond's call option becomes less likely to be exercised when rates rise, so its effective duration extends and it behaves more like a 7-year bond, but its higher coupon provides some cushion. The switch also gives up the callable bond's higher current coupon and may incur transaction costs. A disciplined approach is to size the switch to the strength of the rate view, compare horizon returns under parallel and steepening scenarios, and avoid treating the 80 bp decline as certain.