Yield to Worst (YTW): What It Is and the Formula to Calculate It (2024)

What Is Yield to Worst (YTW)?

Yield to worst is a measure of the lowest possible yield that can be received on a bond that fully operates within the terms of its contract without defaulting. It is a type of yield that is referenced when a bond has provisions that would allow the issuer to close it out before it matures. Early retirement of the bond could be forced through a few different provisions detailed in the bond’s contract—most commonly callability.

The yield to worst metric is used to evaluate the worst-case scenario for yield at the earliest allowable retirement date. YTW helps investors manage risks and ensure that specific income requirements will still be met even in the worst scenarios.

Understanding Yield to Worst

A bond's YTW is calculated based on the earliest call or retirement date. It is assumed that a prepayment of principal occurs if a bond issuer uses the call option. After the call, principal is usually returned and coupon payments are stopped. An issuer will likely exercise their callable option if yields are falling and the issuer can obtain a lowercoupon rate through new issuancein the current market environment.

The YTW may also be known as the yield to call (YTC). In order to identify the YTW, yield to call and yield to maturity should both be calculated. In general, YTW may be the same as yield to maturity, but it can never be higher since it represents yield for the investor at an earlier prepayment date than the full maturity. YTW is the lowest possible return an investor can achieve from holding a particular bond that fully operates within its contract without defaulting. YTW is not associated with defaults, which are different scenarios altogether.

Key Takeaways

  • Yield to worst is a measure of the lowest possible yield that can be received on a bond with an early retirement provision.
  • Yield to worst is often the same as yield to call.
  • Yield to worst must always be less than yield to maturity because it represents a return for a shortened investment period.

The Mechanics

The yield to call is an annual rate of return, assuming a bond is redeemed by the issuer at the earliest allowable callable date. A bond is callable if the issuer has the right to redeem it prior to the maturity date. YTW is the lower of the yield to call or yield to maturity. Aput provisiongives the investor the right to sell the bond back to the company at a certain price at a specified date. There is a yield to put, but this doesn't factor into the YTW because it is the investor's option on whether to sell the bond. Bond investors will also review similar-duration securities' spread-to-worst (STW) values. STW calculates the difference between the YTW of a bond and a U.S. Treasury security.

The equation for calculating YTC is the following:

  • YTC = (coupon interest payment + (call price - market value) ÷ number of years until call) ÷ (( call price + market value ) ÷ 2 )

Analyzing Yields

Yields are typically always reported in annual terms. If a bond is notcallable, the yield to maturity is the most important and appropriate yield for investors to use because there is no yield to call.

Yield to maturity is calculated from the following equation:

Yield to Worst (YTW): What It Is and the Formula to Calculate It (2)

If a bond is callable, it becomes important to look at the YTW. The yield to maturity will always be higher than the YTW because the investor earns more when they hold the bond for its full maturity. The YTW is important though because it provides deeper due diligence on a bond with a call provision. The shorter time frame a bond is held for, the less the investor earns. YTW provides a clear calculation of this potential scenario showing the lowest yield possible.

Some other types of yield that an investor might also want to consider include: running yield and nominal yield.

Yield to Worst (YTW): What It Is and the Formula to Calculate It (2024)

FAQs

What is the yield to worst calculation? ›

Yield to worst is a measure of the lowest possible yield that can be received on a bond with an early retirement provision. Yield to worst is often the same as yield to call. Yield to worst must always be less than yield to maturity because it represents a return for a shortened investment period.

What is the formula for calculating yield? ›

For stocks, yield is calculated as a security's price increase plus dividends, divided by the purchase price.

What is the formula for YTM? ›

What is the formula for yield to maturity? YTM formula is as follows: YTM = APR + ((Face value - current market price) divided by the number of years until maturity). Then take that value and divide it by (Face value + market price) / 2.

What is the yield to sink? ›

Yield-to-sink, also known as yield-to-put, represents the yield an investor would receive if they exercise their right to sell the bond back to the issuer before its maturity date. In this case, the issuer is obligated to repurchase the bond at a predetermined price, known as the sinking fund price.

What does YTM and YTW mean for bonds? ›

Some of these different types of bond yields include among others, the so called running yield, nominal yield, yield to maturity (YTM), yield to call (YTC) and yield to worst (YTW).

How to calculate YTC? ›

You can calculate yield-to-call in accounting by applying the formula:P. = (C/2) x {[1 - (1 + YTC/2)-2t)] / [(YTC/2)]} + (CP/1 + YTC/2)2tWhere: P is the current market price of the bond. C is the yearly coupon payment, which is a percentage of the face value of the bond.

How to calculate actual yield? ›

The formula to determine actual yield is simple: you multiply the percentage and theoretical yield together.

How to calculate overall yield? ›

Note that if a synthesis is a linear multistep process, then the overall yield is the product of the yields of each step. So for example, if a synthesis has two steps, each of yield 50% then the overall yield is 50% x 50% = 25%.

How do you calculate mean yield? ›

To calculate the annual yield, you need to divide the total return by the initial investment and multiply it by 100 to get the annual yield as a percentage. Then depending on the number of years you held the asset, divide the annual yield by that number to determine the average annual yield.

How to calculate current yield? ›

The current yield of a bond is calculated by dividing the annual coupon payment by the bond's current market value. Because this formula is based on the market value or purchase price rather than the par value of a bond, it more accurately reflects the profitability of a bond, relative to other bonds on the market.

What is the yield to maturity for dummies? ›

Yield to maturity is the total rate of return earned when a bond makes all interest payments and repays the original principal. YTM is essentially a bond's internal rate of return if held to maturity.

How do you calculate effective YTM? ›

Effective Yield = [1 + (i/n)]n – 1

Where: i – The nominal interest rate on the bond. n – The number of coupon payments received in each year.

How to explain yield to worst? ›

Yield to Worst (YTW) is a financial metric that helps investors assess the minimum yield they can expect from a bond under various scenarios. It accounts for the bond's yield in the worst-case scenario, considering factors like call provisions, prepayments, and other features that may affect the bond's cash flows.

What does "spread to worst" mean? ›

Spread-to-worst is a measure used to evaluate the potential yield of a bond relative to a benchmark, typically a government bond with similar maturity. It represents the difference in yield between the bond's worst-performing scenario and its benchmark yield.

What is the yield to call yield? ›

Yield to call is the return you will get if the issuer decides to essentially cancel the issue and pay off investors early. If you want real assurance that you'll get the yield to maturity that you expect, consider investing in non-callable bonds.

What is the formula for overall yield? ›

Multi-step reaction yield: The overall yield of a multi-step reaction composed of various single steps is calculated by multiplying the partial yields for each of the single-step reactions (converting all the percentages to fractions of 100, or to decimals, and multiply them).

What is the difference between SEC yield and yield to worst? ›

The SEC Yield calculation shows investors what they would earn in yield over the course of a 12-month period if the respective fund continued earning the same rate for the rest of the year. Yield-to-Worst is presented gross of fees and reflects the lowest possible yield on a callable bond without the issuer defaulting.

What is the appropriate yield formula? ›

You can calculate a bond's yield by dividing its coupon payment by the bond's face value. Yields on mutual funds: Mutual fund yields include income from dividends and interest received over a period. You can calculate yields on the mutual fund by dividing the annual dividend by its share price.

What is the formula for the current yield? ›

The formula to calculate the current yield is pretty simple. You take the annual income (the coupon, or dividend, or interest) of your investment and divide that by the current price.

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