# Basis Point Value

A measure of the change in the price of a bond

## What is Basis Point Value?

Basis point value is a measure of the change in the price of a bond that can be attributed to the per unit change in the yield of the given bond. Therefore, it is a measure of the price volatility of bond prices to 0.01% or 1 basis point change in the yield. ### Quick Summary

• Basis point value of a bond is a measure of the price volatility of bond prices to 0.01% or 1 basis point change in its yield.
• Bond yields and their prices share an inverse relationship. Factors such as yield to maturity, coupon rate, and face value impact the relationship between the yield and price of the bond.
• A larger basis point value implies a bigger change in the price of the bond.

### What is Bond Yield?

Bond yield can be defined as the return realized by the investor when he/she purchases a bond. The return comprises coupon payments over the term of the bond, which is the interest payable by the borrower or bond’s issuer.

The par value of the bond must also be repaid by the issuer on the date of maturity. Therefore, bond yield can be calculated by dividing the total coupon payments by the face value of the bond.

### Yield to Maturity (YTM)

However, simply using coupon rates and face value is an incomplete calculation of total bond yield. It is because of the financial principle of the time value of money, according to which \$100 today is more valuable than \$100 in the future.

Investing a certain sum of money in a bond, the investor foregoes her liquidity (which is required for consumption) and returns from alternative investments that could’ve been made. \$100 today can be equated to the present value of \$100 tomorrow, which will be lesser.

Therefore, a bond’s yield to maturity is calculated. YTM is the interest rate at which the price of a bond equals the adjusted or present value of the cash flows expected to be generated in the future.

### Relationship Between Bond Yields and Bond Prices

#### 1. Nature of relationship

Bond yields and their prices share an inverse relationship. It means that when bond yields rise, bond prices fall, and vice versa. When bond yields rise due to falling interest rates, bond prices fall, and vice versa.

#### 2. Factors affecting sensitivity

Factors, such as yield to maturity, coupon rate, and face value impact the relationship between the price and yield of the bond. A higher coupon rate gives a higher yield, while a higher face value gives a lower yield. The credit rating of the bond or the company issuing the bond also plays a part in determining the degree of sensitivity between the two.

#### 3. Features of basis point value

A larger basis point value implies a bigger change in the price of the bond due to a given change in the yield of the bond. It affects the par value of the bond payable by the borrower to the lender at the time of maturity. Therefore, a higher basis point value represents a greater risk for the investor.

#### 4. Calculation

The mathematical expression for the calculation of basis point value is as follows:

#### 5. Graphical Illustration ### More Resources

CFI offers the Certified Banking & Credit Analyst (CBCA)™ certification program for those looking to take their careers to the next level. To keep learning and developing your knowledge base, please explore the additional relevant resources below:

• Bond Pricing