Accrued Interest Formula

Accrued Interest formula calculates the interest amount which is earned or which is payable on the debt over one accounting period but the same is not received or paid in the same accounting period and it is calculated by multiplying the principal amount with rate of interest and number of days for which debt is given or taken and then dividing it with total number of days in a year.

What is an Accrued Interest Formula?

Accrued interestAccrued InterestAccrued Interest is the unsettled interest amount which is either earned by the company or which is payable by the company within the same accounting period.read more is that amount of interest, which is due for a debt or bond but not paid to the lender of the bond. Interest is accrued in case of a bond because interest starts accumulating from the time the bond is issuedBond Is IssuedA bond is financial instrument that denotes the debt owed by the issuer to the bondholder. Issuer is liable to pay the coupon (an interest) on the same. These are also negotiable and the interest can be paid monthly, quarterly, half-yearly or even annually whichever is agreed mutually.read more. Still, the interests are generally paid in the form of a coupon in periodical intervals like quarterly, semi-annually, or annually. So for the period, the interest is accumulated but not paid becomes an accrued interest. The formula of accrued interest calculation is to find out how much is the daily interest and then multiply it by the period for which it is accrued.

Accrued Interest Formula is represented as follows,

Accrued Interest Formula = Loan Amount*(Yearly Interest/365)* Period for which the Interest is Accrued
Accrued-Interest-Formula

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Source: Accrued Interest Formula (wallstreetmojo.com)

Explanation of Accrued Interest Formula

Interest becomes accrued when the interest is payable but not yet paid, because the timing for interest payable and interest paid is different. Interest is accrued in case of a bond because interest starts accumulating from the time the bond is issued. Still, the interests are generally paid in the form of a coupon in periodical intervals like quarterly, semi-annually, or annually. So for the period, the interest is accumulated but not paid becomes an accrued interest.

Examples of Accrued Interest Formula (with Excel Template)

Let’s see some simple to advanced examples of Accrued Interest to understand it better.

You can download this Accrued Interest Formula Excel Template here – Accrued Interest Formula Excel Template

Accrued Interest Formula – Example#1

Let us understand the formula for the calculation of the accrued interest of a loan. Suppose the interest charged on loan is calculated daily. Let us assume that the yearly rate of interest for the loan is 14%, and the amount of loan is $1000. And the loan is payable every month. And the rate of interest charged by the financial institution for the loan is monthly.

Given,

  • Loan Amount=$1000
  • Yearly Interest rate=14%
  • The period for which the interest is accrued= 30 days
Accrued interest formula eg 1

Using the above-given information, we will do the calculation of Accrued Interest as follows,

Accrued interest formula eg 1.1jpg

Accrued Interest formula = Loan amount*(yearly interest/365)*30

=$1,000*14%/365*30

Accrued Interest will be  –

Accrued interest formula eg 1.2jpg

Accrued Interest in a Month = $11.51

But the loan amount in the form monthly installments is payable by the person who took the loan is monthly. So, in this case, the accrued interest on the loan will be in the form of accrual till the point the individual does not pay the monthly installment

Accrued Interest Formula – Example#2

Investment in the public provident fund is an excellent practical example to understand the concept of accrued interest. Investors invest in this government scheme to save taxes under 80 c. The maximum amount to be invested in the scheme is Rs 1, 50,000 in a year. The yearly rate of interest for the amount invested in the public provident fund is around 8%. Suppose someone has a public provident fund account, and he has started the account with Rs 1, 50,000 as the initial investment.

The following is given data for calculation of Accrued Interest.

Accrued interest formula eg 3

Therefore, the calculation of Accrued Interest will be as follows.

Accrued interest formula eg 3.2jpg

Accrued Interest will be –

Accrued interest formula eg 3.1jpg

Accrued Interest for Year = 12273

The interest payable on the invested amount is calculated monthly. But the interest paid by the government on the invested amount is yearly. So, in this case, the accrued interest on the investment will be in the form of accrual until the point the individual receives the yearly interest. And the interest is payable in the frequency, which is yearly, and the rate of interest calculated is calculated based on monthly compounding.

Accrued Interest Formula – Example#3

Investment in monthly income schemes is another excellent practical example to understand the concept of accrued interest. Suppose someone invested Rs 1,00,000 in this scheme. Suppose someone has a monthly income scheme account, and he has started the account with Rs 1, 00,000 as the investment.

Accrued interest formula eg 2

Using the above-given information, we will do the calculation of Accrued Interest as follows,

Accrued interest formula eg 2.1jpg

Accrued Interest formula = Loan amount*(yearly interest/365)*30

=100000*0.08/365*30

Accrued Interest will be  –

Accrued interest formula eg 2.2jpg

Accrued Interest Monthly = 657.53

So the accrued interest monthly, in this case, is Rs 657, which is paid at the end of the month.

The interest payable on the invested amount is calculated daily. But the interest paid by the government on the invested amount is monthly. So, in this case, the accrued interest on the investment will be in the form of accrual until the point the individual receives the monthly interest. The yearly rate of interest for the amount invested in the monthly income scheme is around 8%. And the interest is payable in the frequency, which is monthly, and the rate of interest calculated is calculated based on daily.

Relevance and Use of Accrued Interest Formula

The basis of accrued interest is based on accrual-based accounting. Companies do not wait for the receipt of cashReceipt Of CashA cash receipt is a small document that works as evidence that the amount of cash received during a transaction involves transferring cash or cash equivalent. The original copy of this receipt is given to the customer, while the seller keeps the other copy for accounting purposes.read more for reporting income or expenses. Income is reported whenever it is accrued. Similarly, a company that has debts in its books will have report the amount of interest accrued for the bonds it has lent. The accrued interest is reported in the balance sheet as interest payable and comes in the current liability section of the balance sheet.

The accrued interest is also reported by the companies in the income statement below the operating items, under the heading interest expenses. For the accrual accounting principle to be followed, companies need to maintain the accrued interest portion and report the same in the financial statementsFinancial StatementsFinancial statements are written reports prepared by a company's management to present the company's financial affairs over a given period (quarter, six monthly or yearly). These statements, which include the Balance Sheet, Income Statement, Cash Flows, and Shareholders Equity Statement, must be prepared in accordance with prescribed and standardized accounting standards to ensure uniformity in reporting at all levels.read more during reporting 10Q and 10k.

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