Bond Yield to Worst Calculator

Enter your bond's face value, coupon rate, current price, maturity, and payment frequency to calculate yield to worst, yield to maturity, current yield, modified duration, and price vs par.

Created by Luis GonzalezLast updated: June 16, 2026

How to Use This Calculator

1
Enter your bond details
Input the face value ($1,000 default), annual coupon rate (%), current market price, years to maturity, and select the coupon payment frequency (annual, semi-annual, quarterly, or monthly).
2
Review your results
The calculator displays three cards -- Yield to Worst (YTW), Current Yield, and Modified Duration -- plus an insights panel with YTM, annual coupon income, price vs par, and Macaulay duration.

Example Calculation

An investor is evaluating a discount corporate bond to determine its yield profile and worst-case return.

Face Value

1,000

Annual Coupon Rate

Current Bond Price

950

Years to Maturity

Coupon Frequency

Semi-Annual (2x/year)

Results

Yield to Worst (YTW)

6.6939%

Current Yield

6.3158%

Modified Duration

7.35 yrs

Insights card shows YTM of 6.

Tips

Compare Discount vs Premium Pricing

At $950 (discount), this bond yields 6.6939% YTW, but at $1,050 (premium) the same bond yields only 5.3479%. A $100 price difference changes your annual return by 1.35 percentage points.

Shorter Maturity Boosts Yield on Discount Bonds

Changing the same $950 bond from 10-year to 5-year maturity increases YTW from 6.6939% to 7.2087%, because you recoup the $50 discount faster. However, modified duration drops from 7.35 to 4.22 years, reducing rate sensitivity.

Higher Coupons Amplify the Discount Effect

An 8% coupon bond at $950 yields 8.7608% YTW versus 6.6939% for a 6% coupon at the same price. The extra $20 in annual income ($80 vs $60) also lowers modified duration from 7.35 to 6.69 years.

Use Modified Duration to Gauge Rate Risk

A modified duration of 7.35 years means a 1% rate increase would reduce this bond's price by roughly 7.35%. If you bought at $950, that translates to an approximate $69.83 price decline to around $880.

The Bond Yield to Worst Calculator helps bond investors identify the minimum return they can expect, accounting for all possible redemption scenarios. Enter a bond's face value, coupon rate, current price, maturity, and payment frequency to instantly see the YTW, current yield, and modified duration, plus detailed insights on income and price positioning.

YTW Formula and Calculation Method

The calculator uses the Newton-Raphson iterative method to solve for the yield that equates the present value of all cash flows to the bond's market price:

Price = Sum(t=1 to n) [Coupon / (1 + r)^t] + Face Value / (1 + r)^n

Where r is the per-period yield, n is total periods (years x frequency), and Coupon is the periodic payment (annual coupon / frequency). For a $1,000 bond with a 6% coupon paid semi-annually at $950 over 10 years, the solver finds r = 3.3470% per period, or 6.6939% annualized.

The Yield to Worst is the lowest among YTM, Yield to Call, and Yield to Put. When no call or put provisions exist, YTW equals YTM.

💡 Want to compare bond returns against other fixed-income options? Our Certificate of Deposit Calculator can help you evaluate CD yields alongside bond investments.

Worked Example: Discount vs Premium Bond

Metric	Discount ($950)	Par ($1,000)	Premium ($1,050)
YTW	6.6939%	6.0000%	5.3479%
Current Yield	6.3158%	6.0000%	5.7143%
Modified Duration	7.35 yrs	7.44 yrs	7.53 yrs
Annual Coupon	$60.00	$60.00	$60.00

All three bonds have a $1,000 face value, 6% coupon, 10-year maturity, and semi-annual payments. The discount bond delivers 1.35 percentage points more yield than the premium bond because the investor gains $50 at maturity rather than losing $50. Modified duration rises slightly with premium pricing because more of the total return comes from the distant face value payment.

Duration, Rate Sensitivity, and Maturity Effects

Modified duration quantifies how much a bond's price changes when yields shift. At 7.35 years, a 1% rate increase would reduce the $950 bond's price by approximately $69.83. Shortening maturity from 10 to 5 years drops modified duration to 4.22 years -- cutting rate sensitivity by 43% -- while boosting YTW from 6.6939% to 7.2087% on the same discount bond, since the $50 capital gain is realized faster.

💡 For a broader view of bond portfolio risk and return, use our Bond Calculator to model different bond scenarios, or try the Present Value Calculator to discount future cash flows manually.

Frequently Asked Questions

What is Yield to Worst (YTW) and how is it calculated?

Yield to Worst is the lowest possible yield a bond can generate considering all early redemption scenarios (calls or puts). It is calculated by solving for the discount rate that equates the present value of all future cash flows to the current market price: Price = Sum of [Coupon / (1 + r)^t] + Face Value / (1 + r)^n. For example, a $1,000 face bond with a 6% coupon at $950 over 10 years (semi-annual) yields a YTW of 6.6939%.

How does Yield to Worst differ from Current Yield?

Current Yield is simply the annual coupon divided by the market price -- for a 6% coupon on a $950 bond, that is $60 / $950 = 6.3158%. YTW accounts for the time value of money and capital gains/losses at maturity, producing 6.6939% for the same bond. For discount bonds, YTW exceeds current yield because you also gain $50 at maturity.

Why does modified duration matter for bond investors?

Modified duration measures price sensitivity to interest rate changes. A duration of 7.35 years means a 1% rate rise causes roughly a 7.35% price drop. For a $950 bond, that is about $69.83. Investors with shorter horizons may prefer lower-duration bonds -- for example, a 5-year maturity cuts modified duration to 4.22 years.

How does buying at a premium vs discount affect yield?

A discount bond ($950 for $1,000 face) produces a YTW of 6.6939% because you gain $50 at maturity on top of coupon income. A premium bond ($1,050) has a YTW of only 5.3479% because you lose $50 at maturity. The $100 price swing changes annual return by 1.35 percentage points.

Does coupon frequency affect yield calculations?

Yes, but the effect is small. The same $950 bond with a 6% coupon over 10 years yields 6.6939% with semi-annual payments and 6.6898% with quarterly payments. More frequent compounding slightly lowers the stated yield because you receive cash flows sooner, but the difference is typically under 0.01%.

When is a bond most likely to be called by the issuer?

A bond is most likely to be called when market rates fall well below its coupon rate. If a bond pays 6% and new bonds can be issued at 3%, the issuer saves $30 per year per $1,000 face by calling and refinancing. In that scenario, the Yield to Call becomes the effective YTW, which is typically lower than the YTM.