How yield to call works
A callable bond gives the issuer the right to repay it early, on or after a set call date, at a presetcall price — typically face value plus a small call premium that steps down over time. Issuers use that right the way homeowners use a mortgage refinance: when rates fall, they call the old high-coupon debt and reissue at today's cheaper rates. That is precisely the scenario in which you, the holder, would rather keep the bond. Yield to call prices that ending — it is the discount rate that equates what you paid with the coupons you collect up to the call date plus the call price handed back on it. Compare it with the yield to maturity and take the lower of the two, and you have the yield to worst: the floor on your return when the issuer controls the ending.
The yield to call equation
price = Σk=1…n (C/m) · (1 + y/m)−k + CallPrice · (1 + y/m)−n
where C = annual coupon in dollars, m = coupons per year, n = years to call × m periods, and yis the annual yield to call being solved for. Swap the call price for the face value and run n to the maturity date and the same equation yields the YTM. Neither has an algebraic solution — price is monotonic in yield, so this calculator solves each by bisection.
Worked example
Take a $1,000.00 bond with a 5.00% semi-annual coupon, trading at $1,050.00, callable in 3 years at $1,020.00 and maturing in 10:
| Step | Amount |
|---|---|
| Market pricea $50.00 premium over the $1,000.00 face — rates have fallen since this 5.00% coupon was issued | $1,050.00 |
| Coupons until the call date$25.00 every six months for 6 periods ($50.00 a year) | $25.00 × 6 |
| Call price in 3 yearsface plus a $20.00 call premium — but $30.00 less than you paid for the bond | $1,020.00 |
| Yield to call (solved by bisection)the rate that discounts those coupons plus the call price back to the market price | 3.85% |
| Yield to maturity (same solve)coupons for 10 years plus the $1,000.00 face repaid at maturity | 4.38% |
| = Yield to worst: the call scenariomin(YTC, YTM) — well below both the 5.00% coupon and the 4.76% current yield | 3.85% |
Computed with this calculator's default settings — open the tool above and you'll see the same numbers, then swap in your own bond's price and call schedule.
The yield hierarchy, and why brokers quote the worst
A callable premium bond wears three different yields at once. The current yield (coupon ÷ price) looks best because it ignores your principal entirely. The YTM is lower, because it admits the premium you paid melts back to face value at maturity. The YTC is lower still, because a call makes that melt happen in three years instead of ten. Since the issuer will choose whichever ending costs it less — which is whichever pays you less — FINRA requires brokers to quote the yield to worst on callable bonds, so a seller can't advertise the rosy number while the issuer plans the other ending. The hierarchy flips for a discount bond: a call at or above par would be a windfall, so maturity becomes the worst case and the YTM is the conservative figure.
Price the same cash flows from a yield — or solve a plain bond's YTM — with thebond pricing & YTM calculator, see what the coupon-only view hides with thecurrent yield calculator, or measure how sensitive your bond's price is to the rate moves that trigger calls with thebond duration & convexity calculator.
Frequently asked questions
What is yield to call?
Yield to call is the annual return you earn on a callable bond if the issuer redeems it on its first call date at the stated call price, rather than letting it run to maturity. It is computed exactly like yield to maturity, but the cash flows stop at the call date and the redemption amount is the call price instead of face value. Because the equation cannot be rearranged to isolate the yield, it is solved numerically — this calculator uses bisection. For a bond trading above par, YTC is usually the lowest, and therefore most realistic, yield figure.
What is the difference between YTC, YTM, and yield to worst?
All three are internal rates of return on the same bond — they differ only in which ending they assume. Yield to maturity assumes the bond survives to its maturity date and repays face value. Yield to call assumes the issuer redeems early at the call price. Yield to worst is simply the lowest yield across every possible call date and maturity — the floor on what you can earn if the issuer always chooses the timing that suits it, not you. Since the issuer holds that choice, the conservative habit is to compare callable bonds on yield to worst.
When is a bond likely to be called?
When calling it saves the issuer money. A call lets the issuer repay old debt and reissue at current rates — the corporate version of refinancing a mortgage. So the classic candidate is a bond whose coupon sits above today's market rates, which is the same bond that trades at a premium. If rates have risen instead, the issuer is happy to keep paying the now-cheap coupon, and the bond will likely run to maturity. That is the rule of thumb: premium callable bonds usually get called, discount bonds usually do not.
What is call protection?
Call protection is the initial period during which the issuer is contractually barred from redeeming the bond — say, the first five years of a ten-year issue. During that window your coupons are safe no matter what rates do. The first day the issuer may call is the first call date, and the schedule of dates and prices afterward is set in the bond's indenture. Call prices often start at a premium to face (102 or 101) and step down toward par over time, which is why the years-to-call and call-price inputs matter as a pair.
Why do callable bonds pay higher yields than non-callable bonds?
Because the call feature is valuable to the issuer and costly to you. The issuer will redeem exactly when reinvesting is least attractive — after rates have fallen — handing your money back just as everything else pays less. You bear reinvestment risk and give up the price appreciation a non-callable bond would enjoy when rates drop. Investors demand compensation for granting that option, so otherwise-identical callable bonds are issued with higher coupons or priced to higher yields. The extra yield is the option premium you collect for letting the issuer choose the ending.
Sources
- FINRA — Bonds: investment product overview, including yield measures and call features
- U.S. SEC, Investor.gov — see the glossary entries for "Yield to Call" and "Callable or Redeemable Bonds"
The official figures this page quotes are drawn from the primary sources above — check them (or a qualified professional) before relying on a result.
Disclaimer: This calculator is foreducation and illustration only. It assumes the bond is called exactly on the entered call date at the entered price, ignores accrued interest, day-count conventions, taxes, transaction costs, and multi-date call schedules, and does not model credit risk. Real callable bonds have stepped call schedules whose true yield to worst scans every date. Nothing here is investment, tax, or trading advice.