# Unearned Discount: Meaning, Calculation, Example

## What Is an Unearned Discount?

An unearned discount is an [interest](https://www.investopedia.com/terms/i/interest.asp) or a fee that has been collected on a loan by a lending institution but has not yet been counted as income (or earnings). Instead, it is initially recorded as a [liability](https://www.investopedia.com/terms/l/liability.asp). As the life of the loan progresses, proportionate parts of the fee or interest collected up front are removed from the liability side of the balance sheet and counted as income. If the loan is paid off early, the unearned interest portion must be returned to the borrower.

An unearned discount is more commonly referred to as [unearned interest](https://www.investopedia.com/terms/u/unearned-interest.asp).

### Key Takeaways

*   Unearned discount refers to loan interest that has been collected but is not yet recognized as income.
*   Instead, an unearned discount is recorded as a liability that is gradually converted into income as the load matures over time.
*   Unearned discount is more commonly known as unearned interest.

## Understanding Unearned Discounts

An unearned discount account recognizes interest deductions before being classified as income earned throughout the term of the outstanding debt. Over time, then, the unearned discount creates an increase in the lender's profit and a subsequent decrease in liability.

Not all interest that is received by a lender is classified as "earned". This is because lenders often pre-schedule regular payments to be made at the beginning of each month. But, the interest paid by the borrower at the beginning of the month applies to the [cost of borrowing](https://www.investopedia.com/terms/c/costofdebt.asp) for the _entire_ month and, therefore, has not been earned by the lender.

For example, say that a homeowner obtains a mortgage that requires them to make a monthly payment on the 1st of each month in the amount of $1,500, with $500 representing the interest portion. However, this $500 in interest is meant to cover the entirety of the month, and it's considered to be unearned on the 1st as it is prepaid. As the month progresses, a pro-rata amount of that interest is credited to the bank's earnings while the liability of the unearned discount is made smaller.

## Calculating an Unearned Discount

Unearned discounts may be estimated under the so-called [Rule of 78](https://www.investopedia.com/terms/r/ruleof78.asp), which is a method used for loans with precomputed finance charges. If the loan is repaid or early or refinanced, the Rule of 78 can determine the unearned discount to the lender. This works as follows:

> Unearned discount = F \[k (k + 1) / n (n + 1)\]

where:

*   F = total finance charge, which is equal to (n x M – P)
*   M = regular monthly loan payment
*   P = original loan amount
*   n = original number of payments
*   k = number of remaining payments on the loan after the current payment  
    

## Example of Unearned Discount

Snuffy's Bank and Trust have made a loan to Ernie's Brokerage. As part of the up-front costs of the loan, Ernie was required to pay a financing charge of 6% of the total loan amount. The total loan amount is $10,000 and will be repaid over 5 years in monthly installments. The amount of the finance charge paid up front by Ernie was $600.

Initially, Snuffy's Bank and Trust record the $600 unearned discount as a liability on its books. As Ernie pays each of the 60 loan payments (12 per year for 5 years), 1/60th of the $600 will be removed from the liability side of the balance sheet and recognized as income.