Maturity Risk Premium is basically the extra return that an investor demands or gets for bearing the maturity risk. Usually, the concept of maturity risk applies in the case of a bond. A long term bond offers a premium, in the form of a higher interest rate, to compensate for the higher risk investor takes due to higher maturity.

We can say, longer the maturity of a financial instrument, the more is the maturity risk premium it offers. This is a major reason why the interest rates on longer-term securities are generally more than the short-term securities.

This risk premium plays a significant role in determining the price of a bond.

## Need for Maturity Risk Premium

One big risk of investing in a long-term bond is that it could lose value before maturity. When you purchase a bond, you are basically investing money or lending money to the issuer. The issuer, in return, is obligated to make regular interest payments at a pre-defined frequency and principal payment at maturity.

For instance, if you invest in a two-year bond, you get the money back at the end of two years. But, in a 30-year bond, you need to wait for thirty years to get the money back. Not much could change in two years, but in 30 years, many things could change. The changes could be various that may have a severe impact on the payment status of the interest and principal of the bonds.

The change could be the issuer running into financial hardships. If such is the case, then the bond issuer may be unable to make payment of interest on regular intervals or principal amount on maturity or both. Moreover, there is also a risk that the market interest rate goes up (interest rate risk), leading to a fall in the bond’s intrinsic value.

Security with longer maturity has reinvestment risk as well. This is the risk of cash flows, which the investor gets over the life of the bond, can’t be reinvested at a higher interest rate.

These are the reasons why investors in long-term bonds need an extra incentive. And this extra incentive comes in the form of a maturity risk premium.

## Maturity Risk Premium and Interest Rate Risk

There is a very close connection between the concept of maturity risk premium and interest rate risk.

If you invest in a bond, the issuer undertakes to pay a set rate of interest and the principal at maturity. There are chances that before maturity, the market rates rise. In such a case, the bond you invested in gives you interest at a lower than the market rate. This risk of the interest rate rising more than the set rate is the interest rate risk.

The maturity risk premium helps to offset this risk by raising the interest rates on the securities with longer maturity.

## How to Calculate?

We can easily calculate this premium if we know the maturity date of the bond and the interest it offers. For simplicity, we are assuming that the investor wants to invest in a 10-year bond.

### Risk-Free Rate

Next, one will have to get the yield for risk-free securities, which have the same maturity as the bond. One best way to get the risk-free yield is to look at the interest rate of the Treasury securities. These securities are risk-free as the U.S. government backs them.

Once you get the risk-free rate, subtract it from the interest that the 10-year bond offers. The result you get is the minimum risk premium for investing in a 10-year bond.

### Example

Let us try to understand this premium concept with the help of an example. Suppose, one-year Treasury bill has a yield of 0.60%. On the other hand, the 10-year bond is offering a rate of 1.91%.

Maturity Risk Premium = Interest rate of Bond *Less* Treasury bill yield

or 1.91% Less 0.60% = 1.31%.

Now suppose, you need to calculate whether or not the return offered by a bond you want to invest in is appropriate or not. For this, you will have to calculate the required rate of return. To calculate this return, you must know the risk-free rate. Also, you should know the default and the liquidity risk premium.

To get the required return, we need to add all these premiums, as well as the maturity premium to the risk-free rate.

Assume you want to compute the required rate of return for a 15-year bond. The risk-free rate is 2.3% (10-year Treasury bond), the liquidity risk premium is 0.3% and the default risk premium is 2.5%.

We first need to get the maturity premium. To calculate this premium we need to subtract the yield of the 15-year Treasury bond from the 10-year Treasury bond. From this, we will get the maturity premium for the five years because we are taking the risk-free rate of a 10-year Treasury bond. For the sake of simplicity, let’s say the maturity premium is 1.5%.

Now, the required rate of return will be:

Risk-free rate *plus* liquidity risk premium *plus* default risk premium *plus* maturity premium

= 2.3% + 0.3% + 2.5% + 1.5% or 6.6%

So, if the 15-year bond that the investor plans to invest in is offering less than 6.6%, then the investor must not invest in it.

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