Yield to Worst
Yield to Worst (YTW) is the lowest possible yield that an investor can receive on a callable, putable, or otherwise optioned bond without the issuer actually defaulting—representing the minimum return an investor should be willing to accept when considering all scenarios in which the bond's embedded options might be exercised. It is computed as the minimum of yield to maturity and all applicable yield to call or yield to put calculations.
Key takeaways
- YTW is the most conservative yield metric for bonds with embedded options, providing a worst-case (non-default) return scenario.
- For callable bonds at premium prices, YTW is almost always the yield to the first or nearest call date, since issuers are incentivized to call.
- For putable bonds at discount prices, YTW may be the yield to the put date, as investors may choose to put the bond back to the issuer.
- CFA Institute, Bloomberg, and most institutional fixed income platforms report YTW as the standard yield metric for callable bonds.
- YTW is an important input for risk management, as it defines the downside yield scenario investors implicitly accept when purchasing optioned bonds.
Explanation
Yield to worst is the regulatory and industry-standard method for presenting yield information on bonds with embedded options—mandated by FINRA for customer-facing communications and adopted by Bloomberg, ICE Data Services, and virtually all institutional analytics platforms as the default yield display for callable bonds. The concept emerged from the recognition that quoting only YTM for a callable bond trading above par is misleading: it ignores the real and quantifiable risk that the issuer will call the bond early, shortening the investor's income stream and forcing reinvestment at lower prevailing rates.
The computational procedure is systematic. For a bond callable at multiple dates (e.g., callable at $103 in year 3, at $101 in year 5, and at $100 in year 7, with maturity in year 10), the analyst computes yield to each call date and call price combination, plus yield to maturity. For a bond priced at $108: YTC at year 3 call price $103 might be 4.8%, YTC at year 5 call price $101 might be 5.2%, YTC at year 7 call price $100 might be 5.5%, and YTM might be 5.8%. The YTW is the minimum: 4.8%, representing the first call date. Investors who analyze bonds on a YTM basis would see 5.8% and potentially overestimate their expected return.
The relationship between YTW and the yield to first call illuminates an important structural dynamic in credit markets. When credit spreads tighten and Treasury yields fall—as occurred during quantitative easing periods—corporate bond prices rise above par and YTW converges toward yield to first call. In this environment, the 'yield give-up' relative to YTM can be substantial: a bond with a 5.80% YTM might have a YTW of only 4.20%, implying that the investor is accepting 160 basis points less yield as the cost of the issuer's call optionality. This negative convexity—the fact that callable bonds lag non-callable bonds in price appreciation when rates fall—is quantified by option-adjusted spread (OAS) analysis.
For high yield bond portfolios, YTW management is particularly critical because high yield issuers frequently exercise call options to take advantage of market windows for refinancing. A high yield bond with a coupon of 9% issued when spreads were wide becomes economically burdensome to the issuer when spreads compress, and the issuer will call it at the earliest opportunity. High yield investors who evaluated their portfolio solely on YTM during tight spread environments overstated their expected returns by ignoring the high call probability of their premium-priced holdings.
Formula
YTW = \min(YTM, YTC_1, YTC_2, \ldots, YTC_n)
Example
A high yield corporate bond has a 9.5% coupon, a 10-year maturity, and is currently callable at $104 in year 3, $102 in year 5, and $100 thereafter. The bond trades at $108 in the secondary market, reflecting the favorable credit environment. Computing yields: YTM (10 years, $100 redemption) = 8.50%; YTC year 3 ($104 redemption) = 7.85%; YTC year 5 ($102 redemption) = 8.10%; YTC year 7 ($100 redemption) = 8.30%. YTW = 7.85%—the yield to the first call date. An investor comparing this bond to a non-callable competitor at 8.60% YTM should recognize they are giving up 75 basis points of yield (8.60% − 7.85% YTW) to the embedded call option. If the issuer's credit improves further and they can refinance at 7%, they will certainly call this bond in year 3, delivering the investor a 7.85% return rather than the 8.50% they might have expected based on YTM.
Related terms
Basis Bond Call Option Callable Bond Convexity Corporate Bond Coupon Rate Default Finra Inverted Yield Curve Libor Negative Convexity