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# Accrued income

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 Title: Accrued income Author: World Heritage Encyclopedia Language: English Subject: Accrual Collection: Publisher: World Heritage Encyclopedia Publication Date:

### Accrued income

In finance, accrued Interest is the interest that has accumulated since the principal investment, or since the previous interest payment if there has been one already. For a financial instrument such as a bond, interest is calculated and paid in set intervals. Accrued income is an income which has been accumulated or accrued irrespective to actual receipt, which means event occurred but cash not yet receive.

## Formula

The primary formula for calculating the interest accrued in a given period is: $I_A = T \times P \times R$

where $I_A$ is the accrued interest, $T$ is the fraction of the year, $P$ is the principal, and $R$ is the annualized interest rate.

$T$ is calculated as follows:

$T = \frac\left\{D_P\right\}\left\{D_Y\right\}$

where $D_P$ is the number of days in the period, and $D_Y$ is the number of days in the year.

The main variables that affect the calculation are the period between interest payments and the day count convention used to determine the fraction of year, and the date rolling convention in use.

A compounding instrument adds the previously accrued interest to the principal each period, applying compound interest.