# Bond Yield - Explained

What is a Bond Yield?

# What is a Bond Yield?

When invested in, a security, bond, stock or asset yields a return, for bonds, yield the return tat an investor earns on bonds. Every investor desires a yield when they invest in a bond, in fact, yield serves as the willpower why most people make investments. There are various ways to classify or calculate a bond yield, these are;

• Yield to maturity
• Effective annual yield
• Bond equivalent yield.

The current yield of a bond can be realized by assessing the price of the bond and its interest payment otherwise called coupon rate.

## How Does a Bond Yield Work?

Investors purchase bonds with the expectation that they would receive interest on the bonds, otherwise known as the bond yield or returns. Bond issuers are liable to pay interest on bonds purchased by investors during the period in which the investor holds it. Aside from interest payments, upon maturity, investors are also paid the face value (par value), which is the price they purchased the bond.

### Equation for calculating coupon rate

The coupon rate is the simplest way an investor can calculate the yield of a bond. Using this method, the yield is calculated as the coupon payment divided by the par value of the bond. However, before the coupon payment can be known, the coupon rate plays a significant role. The coupon rate is realized by dividing the face value of a bond by the interest paid on the bond for a year, this is otherwise called the coupon payments. For instance; If the par (face) value of a bond is \$2000 and the interest paid is \$200, this means the coupon rate is 10%.

### Bond Yield Versus Price

There is an interaction between the yield of a bond and the price, usually, an increase in the bond price translates to a decrease in bond yield, vice versa. The price of a bond is not static, so also is the interest rate, when there is a significant change in either interest rate and price, the yield of a bond is affected. Also, when calculating the current yield of a bond, the bond price is also a vital metric. The coupon payment (otherwise known as interest) and the price of a bond are the two determinants of the current yield, which can, in turn, give an insight into the true yield of a bond.

### The equation for calculating current yield

The current yield is one of the common methods for calculating the yield of a bond, this method uses the current price of a bond and the annual interest payments on a bond as determinants. The formula for calculating the current yield of a bond is; Current Yield = Interest (coupon payments) / current price of a bond. Despite that the current yield is the simplest way of calculating a bonds yield, it is regarded as inaccurate given the fact that the method does not take factors such as time value and maturity value into account.

## Yield to Maturity

A bonds yield to maturity (YTM) is often given as annual percentage rate (APR), this yield is the return an investor is expected to receive on a bond if held until maturity and all coupon and principal payments on the bond made. Yield to maturity is often applicable to long-term bonds or a fixed-security, it is otherwise called bok yield or redemption yield. To calculate the yield to maturity (YTM) of a bond, the formula below will be used;

## Bond Equivalent Yield (BEY)

Bond equivalent yield (BEY) is a method that allows an investment or fixed-security whose payments are not annually to be calculated as an annual percentage yield. BEY takes into account bonds that pay their annual coupon semi-annually, quarterly or monthly. BEY is also used for calculating the annual yield of a bond sold at discount. Due to the different purposes that BEY serves, there are different methods used for calculating it. For instance, if the BEY of a bond that pays coupon semi-annually were to be calculated, the formula below will be used; The YTM of the bond will be multiplied by two.

## Effective Annual Yield (EAY)

The effective annual yield (EAY) is a method for calculating the yield of the bond in the most precise way. The time value and maturity value of a bond are taken into account under the effective annual yield method. Through EAY, an investor can know the expected return on a bond over its holding period. EAY also accounts for additional interest earned on a bond, through the method of compounding the holding period return, EAY measures the accurate annual yield on a bond.

## Complications Finding a Bond's Yield

Certain complications can arise from calculating the yield of a bond due to many factors. The major complications can arise due to;

• The need to calculate the accumulated interest of a bond, especially when held for a long period.
• Inflation in the price of a bond when there is a new buyer that affects the interest rate or coupon payments on the bond.
• Complications that results from clean price ad dirty price.

## Bond Yield Summary

In a nutshell, a bonds yield refers to the total return an investor expects to receive for holding a bond for a specified period of time, or until maturity. The coupon payments on a bond, otherwise called interest rates and other cash flows realized from the bond amount to the yield. There are many methods used in calculating a bonds yield, the simplest method is the current yield while the most accurate or precise method is the effective annual yield (EAY). Other methods to calculate a bonds yield are yield to maturity (YTM), and bond equivalent yield (BEY).