Analyze bond values, yields, coupons, and schedules. Review price sensitivity across rates, maturities, and frequencies. Get clearer fixed income answers for planning and valuation.
| Face Value | Coupon Rate | Years | Payments/Year | Yield | Approx. Clean Price |
|---|---|---|---|---|---|
| 1000 | 5.00% | 10 | 2 | 6.00% | 925.61 |
| 1000 | 7.00% | 8 | 2 | 5.50% | 1094.51 |
| 1000 | 4.25% | 5 | 1 | 4.25% | 1000.00 |
Bond valuation discounts every future coupon payment and the redemption value back to the present. The core price formula is:
Bond Price = Σ [Cash Flow / (1 + y/m)^t] - Accrued Interest
Here, y is the annual yield, m is payments per year, and t is the timing of each cash flow in coupon periods. Clean price excludes accrued interest. Dirty price includes it.
Current yield is: Annual Coupon / Clean Price
Macaulay duration measures weighted average cash flow timing. Modified duration adjusts Macaulay duration for yield. Convexity estimates how curvature changes price sensitivity when interest rates shift.
Bond prices move because interest rates change. When market yields rise, older bonds with lower coupons become less attractive. Their prices usually fall. When market yields decline, existing coupons look better. Prices usually rise. This relationship is one of the most important ideas in fixed income analysis.
This bond price and interest rate calculator helps estimate clean price, dirty price, accrued interest, current yield, duration, and convexity. It can also solve yield to maturity from a market clean price. That makes it useful for investors, students, analysts, and finance teams. You can compare premium bonds, discount bonds, and bonds trading near par.
Coupon rate alone does not determine value. Payment frequency changes timing and discounting. A semiannual bond and an annual bond with the same coupon can price differently under the same market yield. Maturity also matters. Longer maturities usually create more price sensitivity because more cash flows sit farther in the future.
Duration shows how sensitive a bond is to interest rate changes. Modified duration gives a practical estimate of price movement for small yield shifts. Convexity improves the estimate when rate changes become larger. Together, these measures help with risk management, portfolio construction, and scenario testing.
Clean price is the quoted bond price without accrued interest. Dirty price is the amount actually paid at settlement. This difference becomes important when a trade happens between coupon dates. The accrued fraction input lets you reflect that timing more realistically.
Use this calculator to test how rate changes affect valuation, compare bonds with different coupon structures, and estimate yield from observed market price. It supports smarter bond analysis, clearer interest rate planning, and more disciplined fixed income decision making.
Bond prices usually fall when market rates rise. Existing coupons look less attractive, so the bond must trade lower to match new yields.
More frequent coupons change discounting and cash flow timing. That affects price, yield to maturity, duration, accrued interest, and reinvestment patterns.
Clean price excludes accrued interest. Dirty price includes accrued interest and is the amount typically paid at settlement.
Yes. Enter a market clean price, and the solver iteratively finds the yield that makes discounted cash flows match that price.
A premium bond has a coupon higher than current market yields. Investors pay more because its cash flows are relatively attractive.
Duration estimates interest rate sensitivity. Higher duration means a larger price move when yields change, all else equal.
No. Use zero if settlement is exactly on a coupon date. Use a fraction between coupon dates for cleaner pricing.
Yes, within practical limits. Some high-demand government bonds can price at negative yields when investors value safety and liquidity.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.