Bond Price / Yield Calculator
Calculate a bond's price from its yield to maturity, or find the YTM from its market price.
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What Is the Bond Price/Yield Calculator?
Bonds are fixed-income securities where the issuer borrows capital from investors and pays periodic interest. Our Bond Price/Yield Calculator helps you compute either the price of a bond given its yield, or the yield given its price, along with other key metrics like duration and convexity.
Understanding the relationship between bond prices and yields is fundamental to fixed-income investing. When yields rise, bond prices fall, and vice versa. Yield to maturity represents the total return if the bond is held to maturity.
Fixed-income investors, portfolio managers, financial analysts, and anyone investing in bonds or bond funds will benefit from this calculator for investment analysis.
How to Use This Calculator
Step 1
Enter the bond face value (par value).
Step 2
Enter the annual coupon rate and coupon payment frequency.
Step 3
Enter the number of years to maturity.
Step 4
Enter either the current market price (to calculate yield) or the desired yield (to calculate price).
Step 5
The calculator shows current yield, yield to maturity, modified duration, and convexity.
Real-World Example
Face Value
1,00,000
Coupon Rate
7%
Maturity
10 years
Market Price
92,500
Current Yield
7.57%
Yield to Maturity
8.12%
Modified Duration
7.2 years
Bond Price-Yield Relationship Formula
The price of a bond is the present value of all future coupon payments plus the present value of the face value at maturity, discounted at the yield to maturity.
Frequently Asked Questions
Bond price and yield have an inverse relationship. When market rates rise, existing bond prices fall. When rates fall, bond prices rise.
YTM is the total return anticipated if held to maturity, including all coupon payments and the gain/loss from buying at a discount or premium.
Duration measures bond price sensitivity to interest rate changes. A 5-year duration means ~5% price change for every 1% yield change.
Current yield is the annual coupon divided by the current market price. YTM includes both coupon income and the capital gain or loss from holding the bond to maturity, making it a more comprehensive return measure.
Duration assumes a linear price-yield relationship, but actual bond prices change convexly. Convexity measures this curvature, providing a more accurate price estimate for large yield changes. Positive convexity benefits bondholders when rates fall.
Current yield is the annual coupon divided by the current market price, ignoring capital gains or losses. YTM includes both coupon income and the gain or loss from holding to maturity, making it a more comprehensive measure. For a bond bought at a discount, YTM is higher than current yield, and vice versa for premium bonds.
Indian government bonds offer lower yields but are considered risk-free as they carry sovereign guarantee. Corporate bonds offer higher yields to compensate for credit risk. As of 2026, 10-year G-Sec yields approximately 6.8-7.2%, while AAA-rated corporate bonds yield 7.5-8.5% and lower-rated bonds yield significantly more.
The yield curve plots bond yields against their maturities. A normal upward-sloping curve indicates higher yields for longer maturities. An inverted curve (shorter maturities yielding more than longer ones) historically signals economic slowdown. Indian investors use the yield curve to assess market expectations for interest rates and growth.
When the RBI cuts interest rates, existing bond prices rise because their fixed coupons become more attractive compared to new lower-rate bonds. Conversely, rate hikes cause bond prices to fall. Bond investors in India closely monitor RBI MPC meetings as these decisions directly impact their portfolio values.
Modified duration measures a bond's price sensitivity to interest rate changes. A bond with modified duration of 5 years will see approximately 5% price change for every 1% change in yield. Indian bond fund managers use duration to manage portfolio risk, reducing duration when rates are expected to rise.
Key Takeaways
Bond prices and yields have an inverse relationship.
Yield to maturity is the most comprehensive measure of bond return.
Duration measures bond price sensitivity to interest rate changes.
Bonds at a discount have YTM higher than their coupon rate.
Understanding bond math helps make informed fixed-income decisions.
Why This Matters
With trillions in bonds traded daily, understanding the price-yield relationship is essential for anyone investing in fixed-income or managing interest rate risk.
This calculator is for educational and planning purposes. Consult a qualified professional for personalized advice.