Yield To Maturity

What is yield to maturity (YTM)?

Yield to maturity (YTM), sometimes called redemption or book yield, is the estimated annual return on a fixed-rate investment like a bond if you hold it until it matures. YTM assumes that you buy the bond at its present market price and hold onto it until it fully matures, with all interest payments made on time.

Understanding yield to maturity

YTM is similar to current yield, which is calculated by dividing the annual cash inflows from a bond by its market price to see how much money you’d make in a year. However, YTM goes further by considering the present value of a bond's future coupon payments, making it a more accurate way to gauge a bond’s return because it accounts for the value of money over time.

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Calculating YTM

To calculate the YTM for a discount bond, you can use this formula:

Yield To Maturity = C + ( FV - PV / n) / ( FV + PV / 2 )

Where:

  • C = Annual interest/coupon payment
  • FV = Face value of the bond
  • PV = Present value or current price of the bond
  • n = Number of years until the bond matures

Uses of yield to maturity (YTM)

YTM is helpful for deciding if a bond is a good investment. By comparing the YTM with the required yield (the return you want from the bond), you can see if it's worth buying. Because YTM expresses returns in annual terms, you can use it to compare bonds with different maturities and coupon rates.

Variations of yield to maturity (YTM)

There are a few variations of YTM for bonds with special features:

  1. Yield to Call (YTC): Assumes the bond will be called (bought back by the issuer) before it matures. YTC calculates the return based on this assumption, which means a shorter cash flow period.
  2. Yield to Put (YTP): Similar to YTC, but assumes you, the bondholder, will sell the bond to the issuer at a set price before it matures. YTP is based on the earliest date this can happen.
  3. Yield to Worst (YTW): Used for bonds with multiple options. YTW calculates the return using the option terms that give the lowest yield, providing a conservative estimate.

Key points

  • Yield to maturity (YTM) is the total return you can expect on a bond till its maturity date. 
  • YTM shows the internal rate of return (IRR) for a bond held to maturity.
  • Calculating YTM can be tricky because it assumes all interest payments are reinvested at the same rate as the bond’s return.

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Fun fact about yield to maturity

Did you know that figuring out the exact YTM on a bond can be so complicated that it often requires financial calculators or software? This is because you need to solve for the rate that makes the present value of all future bond payments equal to its current price. 

It’s like solving a financial puzzle!

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