Bond Yield Calculator

Calculate Bond Yield

Use this calculator to determine the current yield and yield to maturity (YTM) of a bond. Enter the required information below.

How to Calculate Bond Yield

Calculating bond yields is crucial for investors to assess the return on their bond investments. There are two primary measures of bond yield: Current Yield and Yield to Maturity (YTM). This guide will walk you through the process of calculating both.

Current Yield Formula

The current yield is a simple measure that calculates the annual return on a bond based on its current market price:

$$\text{Current Yield} = \frac{\text{Annual Coupon Payment}}{\text{Market Price}} \times 100\%$$

Yield to Maturity (YTM) Formula

The YTM is a more comprehensive measure that takes into account the time value of money. It is the internal rate of return of a bond, considering all future cash flows:

$$\text{Market Price} = \sum_{t=1}^{n} \frac{C}{(1+\text{YTM})^t} + \frac{F}{(1+\text{YTM})^n}$$

Where:

  • C = Coupon payment
  • YTM = Yield to Maturity
  • n = Total number of periods
  • F = Face value
  • t = Time period

Calculation Steps

  1. Gather the bond's face value, coupon rate, years to maturity, and current market price.
  2. Calculate the annual coupon payment by multiplying the face value by the coupon rate.
  3. Calculate the current yield using the formula above.
  4. For YTM, use an iterative method (like Newton-Raphson) to solve the YTM equation.

Example Calculation

Let's calculate the yields for a bond with the following characteristics:

  • Face Value: $1,000
  • Coupon Rate: 5% (annual)
  • Years to Maturity: 10
  • Market Price: $950

Current Yield Calculation:

  1. Calculate the annual coupon payment:

    $$\text{Annual Coupon Payment} = $1,000 \times 5\% = $50$$

  2. Calculate the current yield:

    $$\text{Current Yield} = \frac{$50}{$950} \times 100\% = 5.26\%$$

Yield to Maturity (YTM) Calculation:

The YTM is calculated using an iterative process. Using a financial calculator or spreadsheet function, we find:

$$\text{YTM} \approx 5.85\%$$

Visual Representation

This bar chart illustrates the difference between the Current Yield (5.26%) and the Yield to Maturity (5.85%) for our example bond. The YTM is higher because it accounts for the capital gain the investor will realize when the bond matures at its face value, which is higher than the current market price.