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How to Calculate Bond Yield to Maturity

What is Bond Yield to Maturity?

Yield to Maturity (YTM) is the internal rate of return on a bond held to maturity. It's the discount rate where the present value of all future cashflows equals the bond's current price.

Formula

YTM solves: Bond Price = Σ[Coupon / (1+YTM)ⁿ] + Par / (1+YTM)ⁿ

Step-by-Step Guide

  1. 1Enter bond price, par value, coupon rate, years to maturity
  2. 2Use iterative methods (Newton-Raphson) to solve for YTM
  3. 3Result approximates annual return to maturity

Worked Examples

Input
Price: $950, Par: $1000, Coupon: 5%, Years: 10
Result
YTM ≈ 5.45%
Bond trading at discount

Common Mistakes to Avoid

  • Confusing YTM with current yield
  • Not assuming reinvestment of coupons

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