# Accretion of Discount Meaning Calculation

## What is Accretion of Discount?

Accretion of discount is a concept commonly used in fixed income trading. It refers to the process of gradually increasing the value of a bond or other fixed income security over time to its face value or par value.

The accretion of discount is calculated using a predetermined rate or yield to maturity. This rate is used to determine the amount of discount that should be accreted each year. The calculation takes into account the remaining time until maturity and the size of the discount.

Accretion of discount is an important concept for fixed income traders and investors to understand. It allows them to accurately assess the true value of a bond and calculate their potential returns. By considering the accretion of discount, traders can make more informed decisions about buying and selling fixed income securities.

## Calculation of Accretion of Discount

Accretion of discount refers to the process of gradually increasing the value of a bond or other fixed income security to its face value over time. This occurs when a bond is purchased at a price below its face value, resulting in a discount. The discount is then accreted, or added back, to the bond’s value over the remaining life of the security.

### Accretion Calculation

The calculation of accretion of discount involves determining the amount of discount that needs to be added to the bond’s value each year. This is typically done using a straight-line method, where an equal amount of discount is accreted each year. The formula for calculating accretion of discount is as follows:

Year Discount Accretion Accreted Value
1 \$10 \$2 \$92
2 \$8 \$2 \$94
3 \$6 \$2 \$96
4 \$4 \$2 \$98
5 \$2 \$2 \$100

In the example above, a bond with a face value of \$100 is purchased at a discount of \$10. Each year, \$2 of discount is accreted to the bond’s value until it reaches its face value of \$100. This process continues until the bond matures or is sold.

### Importance of Accretion of Discount

The accretion of discount is important in fixed income trading as it allows investors to gradually increase the value of their bonds over time. This can result in higher returns for investors who purchase bonds at a discount. Additionally, accretion of discount can help offset any potential losses from changes in interest rates or market conditions.

## Benefits of Accretion of Discount in Fixed Income Trading

### 3. Risk Mitigation

Accretion of discount can help mitigate the risk associated with fixed income investments. By purchasing a bond or other fixed income instrument at a discount, investors can potentially offset any potential losses from changes in interest rates or credit risk. The gradual increase in value through accretion provides a cushion against these risks and helps protect the investor’s principal.

### 4. Diversification

Accretion of discount offers investors the opportunity to diversify their fixed income portfolio. By including discounted securities in their portfolio, investors can reduce concentration risk and increase the overall stability of their investment holdings. This diversification can help protect against market volatility and improve the risk-adjusted returns of the portfolio.