Yield to Call (YTC)

Yield to call is the internal rate of return if a callable bond is redeemed by the issuer at the earliest call date, rather than held to maturity. It matters because when rates fall, issuers call high-coupon bonds, capping the investor's gain and forcing reinvestment at lower rates.

Key takeaways

• YTC is calculated like YTM, but the final cash flow is the call price (usually par) on the call date instead of par on the maturity date
• YTC is always lower than YTM for a bond trading above par (premium bond)
• YTC is relevant only if there is a realistic chance the bond will be called
• Investors in callable bonds should compare both YTM and YTC to understand the range of possible outcomes
• Many high-coupon bonds issued in low-rate environments (like 2020) were called when rates rose

The structure of a callable bond

A callable bond gives the issuer an embedded option: the right to repay the principal before maturity. The issuer specifies:

• Call date (or call dates) — when the issuer can call the bond. For example, a 10-year bond might be callable after 5 years.
• Call price — the price at which the issuer can call, usually 100 (par) but sometimes slightly above par.
• Call protection period — the years when the bond cannot be called. A bond might be non-callable for the first 5 years, then callable.

The issuer exercises the call option only if it is profitable, usually when interest rates fall. If rates fall, the issuer can refinance the old bond at a lower rate, saving interest expense. You, the bondholder, lose because you are holding a high-coupon bond that gets called away.

YTC calculation

YTC is the discount rate that equates the present value of all cash flows up to the call date to the bond's current price.

YTC formula (similar to YTM):

Price = (C / (1 + y)) + (C / (1 + y)^2) + ... + (C / (1 + yc)) + (Call price / (1 + yc))

Where:

• C = the semi-annual coupon payment
• yc = the semi-annual YTC
• The last coupon and call price are paid on the call date, not the maturity date

You solve for yc (annualized to get YTC).

A concrete example

Suppose you buy a callable corporate bond with:

• Par: $1,000
• Coupon: 5% ($50 annual, or $25 semi-annual)
• Maturity: 10 years
• Call date: 5 years (callable after 5 years at par)
• Current price: $1,100 (a $100 premium)

YTM calculation (assuming held to maturity):

You would receive $25 every six months for 10 years, plus $1,000 at year 10. The YTM would be approximately 4.0% (lower than the 5% coupon because you paid a premium).

YTC calculation (assuming called at year 5):

You would receive $25 every six months for 5 years, plus $1,000 (call price) at year 5. Solving for the discount rate:

YTC ≈ 3.0%

The YTC (3.0%) is lower than the YTM (4.0%) because:

1. You lose the coupons in years 6–10 that you would have received if the bond was held to maturity
2. You lose the opportunity for price appreciation back to par (you already own it at $1,100, so the call at $1,000 par is a loss)

This bond is deep in-the-money for a call. Rates would have to fall for the issuer to call it, but the scenario is plausible. Your actual return is capped at 3%, not the 4% YTM.

Why issuers call bonds

An issuer calls a bond when refinancing is advantageous. Suppose your company issued 5% coupon bonds 5 years ago. Today, rates have fallen and the company can refinance at 3%. It makes sense to call the old 5% bonds and issue new 3% bonds, saving 2% on annual interest expense.

The company does not care that you, the bondholder, lose the high coupons. The company benefits by billions of dollars in saved interest. Your loss is the company's gain.

This is why callable bonds are less attractive to investors. They offer higher coupons to compensate for the embedded call option you are short (the issuer is long the call; you are short).

Callable bonds in different rate environments

In a rising-rate environment, callable bonds are safe. Rates rise, bond prices fall. The issuer will not call because refinancing at higher rates is unattractive. You hold your high-coupon bond, which is now trading at a discount, and the YTM is higher than the YTC. The YTC is not the limiting return; the YTM is.

In a falling-rate environment, callable bonds are risky for holders. Rates fall, bond prices rise, the bond becomes more valuable. The issuer calls, you lose the high coupons, and you are forced to reinvest at lower rates. The YTC is the binding constraint, not the YTM.

In a stable or slowly rising-rate environment, the call probability is ambiguous. The bond may or may not be called. You should use both YTM and YTC as a range of possible outcomes.

Callable vs non-callable bonds

For the same issuer and maturity, a callable bond offers a higher coupon than a non-callable bond. The issuer pays you extra to compensate for the call risk.

For example:

• Non-callable 10-year corporate bond: 4% coupon
• Callable 10-year corporate bond (callable after 5 years): 4.5% coupon

The extra 50 basis points is the call premium. You are paid for bearing the risk that the bond will be called when rates fall and you lose the high coupons.

Amortizing and step-up callable bonds

Some callable bonds have additional call provisions:

• Amortizing call — the issuer can call the bond in installments. For example, the company can call 25% per year after the call protection period ends.
• Step-up call — the call price rises over time. A bond might be callable at par (100) in year 5, at 101 in year 6, at 102 in year 7. This gives the issuer a window to call at a discount to par, but the cost rises over time.

These variations change the YTC calculation. An amortizing call might be exercised gradually, affecting the average return. A step-up call might never be triggered if the issuer prefers not to pay the rising call price.

Yield to worst (YTW)

Rather than choosing between YTM and YTC, sophisticated investors use yield to worst (YTW). The YTW is the lower of YTM and YTC (or, if there are multiple call dates, the lowest of all possible yields).

In our example:

• YTM: 4.0%
• YTC: 3.0%
• YTW: 3.0% (the lowest, hence the worst case)

YTW is the return you can count on even in the scenario most unfavorable to you. Investors and credit analysts often quote YTW for callable bonds because it represents the true floor on your return.

Call protection and investor comfort

A longer call protection period is better for investors. A 10-year bond non-callable for 10 years (i.e., not callable until maturity) is as safe as a non-callable bond. A 10-year bond callable immediately (no call protection) offers maximum risk; the issuer can call as soon as rates drop even slightly.

Most corporate bonds have call protection of 3–5 years. Government bonds (Treasuries) are non-callable. Municipal bonds often have 10-year call protection, making them more similar to non-callable bonds from an investor standpoint.

Call dates and dates-certain bonds

Some bonds have multiple call dates. A bond might be callable on June 15 of each year starting in year 5. When calculating YTC, you use the call date most favorable to the issuer (hence most unfavorable to you), which is usually the first call date. This guarantees that you are not overestimating your return.

Some bonds are "make-whole" callable, meaning the issuer can call at any time but must pay a make-whole price—typically the price that gives the bondholder the same return as if the bond were held to maturity. Make-whole calls are less harmful to investors because you do not lose the benefit of your bargain purchase.

Historical examples: callable bonds in practice

In 2020, companies issued billions in callable bonds with high coupons (4%, 5%, 6%) because rates were low. By 2022, as rates rose, many of these bonds were underwater (trading below par) and less likely to be called. But as rates fell back in 2023, some of these bonds traded back toward par and call risk re-emerged. Investors who bought these bonds in 2020 faced the risk that call risk would return as the bonds appreciated.

Conversely, in 2008–2009, after the financial crisis, many mortgage-backed securities (which have embedded prepayment options, similar to callable bonds) were called as homeowners refinanced mortgages. Investors received par back and were forced to reinvest in a low-rate environment, earning much less than they expected.

Negative convexity

Callable bonds exhibit negative convexity. As rates fall, a non-callable bond's price rises without limit. A callable bond's price is capped because the issuer will call. This asymmetry is unfavorable to you as a bondholder. You do not get the full upside from falling rates, but you get the full downside from rising rates. This is negative convexity, and it is why callable bonds offer higher coupons.

Callable bonds in a bond fund

A bond fund holding callable bonds must manage call risk. When the fund owns a bond that is in-the-money for a call (trading above the call price), the fund should anticipate the call and hold extra cash or plan to reinvest the called proceeds.

Fund managers often trim positions in deeply in-the-money callable bonds to reduce call risk. This is why callable bonds often underperform when rates fall sharply—the fund has already sold them.

Practical guidance for investors

If you own or are considering a callable bond:

1. Check the call structure — Is it callable? When? At what price? How much call protection?
2. Calculate YTC — Use a financial calculator or spreadsheet to find the YTC, not just the YTM.
3. Compare YTC to YTM — Understand the range. If YTC is much lower, call risk is material.
4. Use YTW as your benchmark — Assume the worst case to avoid overestimating your return.
5. Demand call premium — Callable bonds should offer higher coupons than non-callable bonds of the same issuer and maturity. Check that you are compensated.

Conclusion: callable bonds are riskier for investors

Callable bonds give the issuer an option and you a limitation. When rates fall and your bond becomes valuable, the issuer calls it and you lose. Callable bonds offer higher coupons to compensate, but that premium may not justify the asymmetric risk. Understanding YTC helps you quantify the risk and decide whether the compensation is adequate.

Flowchart

Related concepts

• Yield to Maturity (YTM)

Next

YTC covers the scenario where a callable bond is called by the issuer. But many bonds have multiple call dates or contingencies. Yield to worst provides a unified framework: the lowest possible yield, accounting for all scenarios.