Mr Calcu | Find your bond’s real return with our simple, precise YTM calculator — perfect for smarter investing decisions.

Calculate bond yield to maturity instantly and compare returns. Discover how this powerful, stress-free tool can sharpen your investment decisions.

Bond Yield‑To‑Maturity Calculator

Bond Yield‑To‑Maturity Calculator Guidelines

Ready to find out how much your bond is really earning?

Using the Calculator

  1. Face Value: Enter the bond's par amount (commonly $1,000).
  2. Coupon Rate: Input as a percentage (e.g., 5 for 5%).
  3. Years to Maturity: Input total years until the bond matures. Use ∞ for perpetuals.
  4. Market Price: Current price you paid or would pay for the bond.
  5. Click 'Calculate' to compute the bond's YTM.

Important Tips

  • Set the coupon rate to 0% for zero-coupon bonds.
  • Results assume the bond is held to maturity and not called early.
  • Callable, putable, and floating-rate bonds require more advanced modeling.
  • YTM assumes coupons are reinvested at the same yield rate.

Bond Yield‑To‑Maturity Calculator Description

What is Bond Yield to Maturity?

Yield to Maturity (YTM) is the total expected return on a bond if held until maturity, incorporating both interest payments and capital gains or losses.

Why YTM Matters

  • Reflects the bond's actual annual return, not just the coupon rate
  • Accounts for the bond's current price, time to maturity, and all future cash flows
  • Helps compare different bonds on an equal footing

Mathematical Formula

To calculate YTM, solve the equation:

Price = C * (1 - (1 + r)^-n)/r + F / (1 + r)^n

Where:
C = annual coupon payment
F = face/par value
n = years to maturity
r = yield to maturity

This equation is solved iteratively as it cannot be rearranged algebraically to isolate r.

Edge Case Scenarios

  • Zero-Coupon Bonds: YTM is computed as: YTM = [(Face / Price)^(1/n)] - 1
  • Premium Bonds: Purchased above par; YTM is lower than the coupon rate due to capital loss
  • Callable Bonds: Use Yield to Call (YTC) instead; YTM may overstate return
  • Perpetual Bonds: YTM = Coupon / Price, as there's no maturity
  • Deep Discount Bonds: Highly sensitive to price changes; often results in high YTM values

Mini Case Studies

Case Study 1: Corporate Bond Discount

An investor buys a bond with a 7% coupon, 8-year maturity, at $920. The YTM is calculated at 8.41%. Six months later, due to interest rate changes, the bond rises to $975, dropping YTM to 7.53%.

Case Study 2: Municipal Bond at Par

A 4% municipal bond purchased at $1,000 with 15 years to maturity results in a YTM of exactly 4.00% when held to maturity.

Start calculating your bond's true return now — and make every investment decision with confidence.

Example Calculation

Face ValueCoupon RateYears to MaturityMarket PriceYTM
$1,0005%10$9505.73%
$1,0006%5$1,0504.93%
$1,0000%10$6005.31%
$1,0008%20$1,2006.34%
$1,0005%∞ (Perpetual)$833.336.00%

Frequently Asked Questions

YTM is the total return expected on a bond if held until maturity.

YTM is calculated by solving for the interest rate that equates the bond's present value of future cash flows to its current market price.

Yes. Set the coupon rate to 0% and input the price and maturity. The calculator will use a simplified YTM formula appropriate for zero-coupon bonds.

This calculator assumes the bond is held to maturity and not called early. For callable bonds, consider using Yield to Call (YTC) analysis.

When a bond is purchased above face value, the investor incurs a capital loss at maturity, reducing the overall return and thus the YTM.

Yes, the YTM model assumes all coupon payments are reinvested at the same rate, which may not reflect real-world reinvestment opportunities.

YTM approximations can be close for short-term or small coupon bonds, but accurate YTM usually requires iterative numerical methods, which our calculator employs.

Yes, in the context of bonds, YTM functions as the internal rate of return (IRR), showing the discount rate that makes the present value of cash flows equal to the bond’s market price.

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