Yield to Call (YTC) Calculator
Estimate the yield to call of a callable bond: assuming redemption at the earliest call date at the call price, it annualizes the coupons and capital gain or loss.
Input Data
Results
At a glance:YTC annualizes the coupons plus the capital gain or loss to the call price over the years to the earliest call date, using the approximate yield formula.
Formula
annualCoupon = faceValue × couponRatePct%
ytc ≈ (annualCoupon + (callPrice − price) / yearsToCall) / ((callPrice + price) / 2)
$$C = \text{Face} \times \text{Coupon Rate}$$$$\text{YTC} \approx \dfrac{C + \dfrac{\text{Call Price} - \text{Price}}{n_c}}{\dfrac{\text{Call Price} + \text{Price}}{2}} \times 100\%$$How to Use
- Enter the face value, coupon rate, call price, and market price.
- Enter the years to the earliest call.
- Review the annual coupon and approximate YTC.
FAQ
What is the difference between yield to call (YTC) and yield to maturity (YTM)?
Both annualise coupons plus capital gain or loss, but they assume a different holding endpoint and redemption price. YTM assumes you hold the bond to maturity and it is redeemed at face value; YTC assumes the bond is called early at the earliest call date at the agreed call price (not face). So YTM uses face value and years to maturity, while YTC uses the call price and years to the call date. Non-callable bonds only have YTM; callable bonds need both, because you cannot be sure the issuer will not call. Issuers usually call when it benefits them (rates fall, bond at a premium), which often makes YTC lower than YTM. For callable bonds, take the lower of YTM and YTC as the conservative estimate—that is the 'yield to worst' discussed next.
What is 'yield to worst' and why read it for callable bonds?
Yield to worst (YTW) is the lowest of all yields computed across every possible call scenario and the hold-to-maturity scenario—the most conservative return estimate. For callable bonds it is usually min(YTM, YTC) (if multiple call dates exist, compute each call date's YTC and take the minimum). The reason: the call option lies with the issuer, who only exercises it when it benefits them. Imagine you bought a premium high-coupon callable bond: if rates fall, the issuer retires your old high-coupon bond with cheaper new debt—calling it early—so you lose future high coupons and your actual return lands on the lower YTC. If rates rise and the bond falls to a discount, the issuer happily keeps paying your original coupon and does not call, and your return is near YTM. Since you cannot predict rates, using YTW assumes the worst scenario happens—a prudent approach. When you see a high headline coupon or YTM on a callable bond, compute YTW first to avoid overstating the real return.
Why do issuers include a call feature—good or bad for investors?
Issuers add call features mainly to retain refinancing flexibility—like a homeowner prepaying an expensive mortgage when rates drop to refinance cheaper. When rates fall, the issuer calls the existing high-coupon bonds and reissues at a lower rate, cutting funding cost—clearly good for them. For investors, the call feature is generally unfavourable: first, reinvestment risk—when your high-coupon bond is called, rates often have fallen and you can only reinvest at lower yields; second, capped upside—a normal bond's price rises when rates fall, but a callable bond's price 'caps' near the call price (the market expects it to be called), so you miss the full capital gain; third, timing is not yours to choose—the call happens when it suits the issuer, not you. As compensation, callable bonds usually pay a slightly higher coupon than comparable non-callable ones. So judge whether that extra coupon sufficiently compensates for the reinvestment risk and capped upside; before buying, study the call terms (call price, earliest call date, call-protection period) and assess the return with YTC and YTW.
How do current price, call price and years to call affect YTC?
From YTC ≈ [C + (call price − price) ÷ years to call] ÷ [(call price + price) ÷ 2]: first, current price—inversely and most impactfully: at fixed coupon and call price, the higher the price you pay, the lower the call price you recover (even at a loss), so the lower the YTC; lower price means higher YTC. Example with coupon HK$60, call price HK$1,020, 5 years: price HK$1,000 → YTC ≈ 6.34%, HK$1,050 → 5.22%, HK$1,100 → 4.15%. Second, call price—positively: the higher the call price, the more you recover, the higher the YTC (else equal). Third, years to call—affects how fast the capital gain/loss is amortised: when price exceeds call price (you take a loss), a shorter time to call means the loss is spread over fewer years and erodes more per year, lowering YTC; a longer period amortises it more gently. The most dangerous combo for a premium callable bond is 'price far above call price + call date very near'—once called, the loss quickly drags down your real return. Try different prices and call-year combinations here to see the worst case.
How accurate is this YTC—does it match the broker's quote?
This calculator uses an approximation formula that estimates YTC quickly but differs slightly from a broker's exact YTC solved by discounting cash flows. Understand a few points. First, approximate vs exact: the exact YTC finds a discount rate that makes the present value of 'all coupons to the call date + call price' exactly equal the price—requiring iteration. This calculator linearly amortises the call-price-to-price gap over the years to call, simple but slightly more biased when price deviates far from call price or the period is long (usually within a few tenths of a percent). Second, multiple call dates: many callable bonds have a series of call dates with different prices (usually lower as it nears maturity). This calculator computes only the single call date and price you enter; in practice you should compute YTC for each possible call date, then take the minimum with YTM (yield to worst). Third, it ignores transaction costs and tax. So use this tool for quick estimation and comparison under a given call assumption; for actual trading decisions, rely on the broker's exact YTC / YTW quote and review the full call schedule and credit rating.
References
Content review: Calculatorism Finance Team. Results are for reference only; please refer to the relevant authorities for the official figures.