📈 Bond Price Calculator
Calculate the fair market price of a bond by discounting coupon payments and face value at the yield to maturity. Supports annual, semi-annual, quarterly, and monthly payment frequencies with a full amortization schedule and price-yield chart.
What Is a Bond Price Calculator?
A bond price calculator determines the fair market value of a fixed-rate bond by discounting all future cash flows , coupon payments and the principal repayment , back to the present using the yield to maturity (YTM).
Bond pricing is based on the present value of expected future cash flows. The price of a bond is the sum of the present values of all coupon payments plus the present value of the face value at maturity.
How Does the Bond Price Calculator Work?
The calculator uses the standard bond pricing formula:
Where:
- P = Bond price
- C = Coupon payment per period (Face Value × Coupon Rate ÷ Frequency)
- r = Yield per period (YTM ÷ Frequency)
- n = Total number of periods (Years × Frequency)
- F = Face value (principal)
Why Use This Bond Price Calculator?
- Multiple Frequencies: Supports annual, semi-annual, quarterly, and monthly coupon payments.
- Full Schedule: View every coupon payment with its discounted value.
- Price-Yield Chart: Visualize the inverse relationship between bond prices and yields.
- Trading Status: Instantly see if the bond trades at a premium, discount, or par.
- Free & Private: No registration, no data storage , all calculations run in your browser.
❓ Bond Price Calculator FAQ
What is a bond's face value?
The face value (or par value) is the amount the bond issuer agrees to pay the bondholder at maturity. Most bonds have a face value of $1,000, but it can vary.
What is the coupon rate?
The coupon rate is the annual interest rate paid on the bond's face value. For example, a 6% coupon on a $1,000 bond pays $60 per year.
What is yield to maturity (YTM)?
Yield to maturity is the total return anticipated on a bond if held until it matures. It's the discount rate that equates the bond's price with the present value of its future cash flows.
What does it mean when a bond trades at a premium or discount?
When the bond's price is above face value, it trades at a premium (coupon rate > YTM). When the price is below face value, it trades at a discount (coupon rate < YTM). When equal, it trades at par.
Why do bond prices and yields move in opposite directions?
When market yields rise, existing bonds with lower coupons become less attractive, so their prices fall. When yields fall, existing bonds with higher coupons become more valuable, so their prices rise.
What payment frequencies does this calculator support?
This calculator supports annual, semi-annual, quarterly, and monthly coupon payment frequencies. You can select the frequency that matches your bond's payment schedule.
What is the current yield?
The current yield is the annual coupon income divided by the bond's current market price. It measures the income return based on the price you pay, not the face value.
How accurate is this calculator?
This calculator provides accurate results based on the standard bond pricing formula. However, actual bond prices may also be affected by factors like accrued interest, day-count conventions, and market liquidity. Use this as a planning tool and consult a financial professional for specific investment decisions.
Is this calculator free to use?
Yes, this calculator is completely free to use. No registration or personal data storage is required. All calculations are performed in your browser.
What is the difference between clean price and dirty price?
This calculator returns the clean price (the bond price excluding accrued interest). To get the dirty price, you would add accrued interest to the clean price. This calculator assumes no accrued interest for simplicity.