Loan Impairment Calculation: A Simple Present Value Guide

To calculate loan impairment with a discounted cash flow (DCF) method under US GAAP (ASC 326), discount the cash you expect to collect at the loan’s effective interest rate, then subtract that present value from amortized cost, the loan’s recorded amount. The result is the required allowance. For an unmodified fixed-rate loan, use the original rate, not today’s market rate.

This calculation helps prevent a lender from reporting a receivable above the amount it expects to collect on a present-value basis. It also explains why collecting all principal does not necessarily mean there is no credit loss. This guide covers the measurement concepts in Intermediate Accounting Appendix 6B. All numerical examples and practice questions are hypothetical.

How do you calculate loan impairment? Four steps

1. Find amortized cost. This is the loan’s recorded amount before any allowance.
2. Estimate expected receipts. List the principal and interest you expect to collect on each payment date.
3. Discount each receipt. Use the loan’s effective interest rate and the number of periods until that receipt arrives.
4. Subtract. Amortized cost minus the total present value equals the required allowance.

Then record a journal entry for the difference between that required allowance and any allowance already on the books.

What does a loan impairment calculation measure?

A creditor is the lender; a debtor is the borrower. The loan is an asset on the creditor’s books. Contractual cash flows are the payments required by the agreement. Expected cash flows are the payments the creditor reasonably estimates it will actually receive, including their timing.

Amortized cost is the recorded amount before the credit loss allowance. It may include adjustments for a discount, premium, fees, or accrued interest. In the simple example below, there are no such adjustments and no accrued interest at the measurement date, so amortized cost equals principal.

The Financial Accounting Standards Board (FASB) permits several estimation methods under Accounting Standards Codification (ASC) Topic 326. Discounted cash flow is one method; it is not mandatory for every receivable. See FASB’s published ASC 326-20-30-1 through 30-4 text as first issued in ASU 2016-13. Later updates, including ASU 2019-04 and ASU 2022-02, amended paragraph 30-4, so the current FASB Codification is the authoritative version.

Is loan impairment the same as CECL?

Not quite. “Loan impairment” is the older US GAAP label. Under the old incurred loss model, a lender waited until a loss was probable before recording it.

ASU 2016-13 replaced that model with the current expected credit loss (CECL) model in ASC Topic 326. A lender now records its current estimate of all expected credit losses over the loan’s contractual term, starting when the loan is first recognized.

The switch came in two waves. SEC filers, other than entities eligible to be smaller reporting companies, adopted CECL for fiscal years beginning after December 15, 2019. All other entities followed for fiscal years beginning after December 15, 2022.

People still search for “loan impairment,” so this guide keeps the familiar name. The math here follows CECL.

Estimate the receipts before discounting

Start with the contract, then consider evidence about the borrower’s repayment ability. Historical collection experience, current conditions, and reasonable, supportable forecasts help develop the estimate. A desired repayment amount is not evidence that the borrower can pay it.

One way to build the estimate is to model several outcomes and weight them by their probabilities. ASC 326 does not require multiple scenarios, so this is an option, not a rule. For example, a Year 1 interest receipt might be $4,800 with a 25% probability or $2,400 with a 75% probability. The expected receipt is ($4,800 × 25%) + ($2,400 × 75%) = $3,000. Probabilities total 100%.

Calculate expected amounts for each payment date. For the underlying arithmetic, review the expected cash flow approach and probability weighting. That general technique does not determine which discount rate a particular accounting measurement requires.

Loan impairment calculation example: Cedar Lending

At the assessment date, Cedar Lending holds a $60,000 fixed-rate loan with two years remaining. The original effective rate and contractual coupon rate are both 8%. Interest of $4,800 is due at each year-end; principal is due at the end of Year 2.

Cedar expects to receive all $60,000 principal but only $3,000 interest each year. Assume the loan is appropriately evaluated individually and these are supportable expected receipts. No payment is due immediately.

The final expected receipt includes $60,000 principal and $3,000 interest. Discount each year separately:

Rounded to whole dollars, Cedar needs a $3,210 allowance and reports a $56,790 net loan. A one-cent difference from adding displayed rounded components is only rounding. Keep full precision until the final answer.

If Cedar has no existing allowance, it records the full $3,210:

If Cedar already had a $1,000 credit balance in the allowance, the entry would be only $2,210.

Why is the allowance smaller than the cash shortfall?

The $3,600 shortfall is money missing at future dates. The $3,209.88 allowance expresses that loss at today’s value. These amounts answer different questions.

As a check, discount the two $1,800 shortfalls: $1,800 ÷ 1.08 + $1,800 ÷ 1.08² = $3,209.88. This shortcut works here because the present value of the original contractual receipts equals the $60,000 amortized cost.

Do not compare the $66,000 total expected receipts directly with $60,000 principal and conclude there is no loss. The receipts include compensation for waiting. Missing some interest reduces present value even though every dollar of principal is expected to be repaid.

Why use the original effective interest rate?

The effective rate connects the loan’s recorded cost with its contractual payment pattern. For this fixed-rate example, retaining 8% isolates the effect of changes in expected collections. Repricing the same receipts at a new market rate would mix that credit assessment with market-value changes.

A rise in market rates alone therefore does not create a credit loss in this example. Nor should a lower market rate conceal a reduction in expected collections. Two situations change the rate, and both are outside this introductory calculation. A variable-rate loan’s effective rate moves with its index. A modification treated as a continuation of the original loan uses a rate derived from the post-modification contractual rate (ASC 326-20-30-4).

Once the required allowance is measured, compare it with the allowance already recorded to determine the necessary adjustment. The ending allowance and this period’s expense are not automatically equal.

Working with trade receivables instead of loans? Start with the allowance method and accounts receivable aging, then see how a bad debt write-off and recovery works.

What if the loan depends on collateral?

A collateral-dependent loan is one where the borrower is in financial difficulty and repayment is expected to come substantially from operating or selling the collateral, such as property.

For these loans, ASC 326-20-35-5 lets the lender use the collateral’s fair value at the reporting date instead of discounting cash flows. If foreclosure is probable, using fair value is required (ASC 326-20-35-4).

When repayment depends on selling the collateral, subtract estimated costs to sell.

Example: Repayment of a collateral-dependent loan is expected to come from selling the collateral. The loan has $60,000 amortized cost. The collateral’s fair value is $52,000, and estimated costs to sell are $2,000.

Required allowance = $60,000 − ($52,000 − $2,000) = $10,000

How is loan impairment calculated under IFRS 9?

This guide follows US GAAP. The comparison below covers loans under the IFRS 9 general approach that are not purchased or originated credit-impaired. The discounting idea is similar, but the timing of loss recognition differs.

Separate IFRS 9 requirements apply to purchased or originated credit-impaired assets, including use of a credit-adjusted effective interest rate. The simplified approach uses lifetime expected credit losses for qualifying trade receivables, contract assets, and lease receivables. These cases are outside this table (IFRS 9, paragraphs 5.5.13–5.5.16 and B5.5.44–B5.5.45).

Common calculation mistakes

• Discounting contractual payments instead of expected receipts.
• Omitting interest because the principal remains collectible.
• Discounting every receipt for the same number of years.
• Using today’s market rate for the fixed-rate example.
• Recording the undiscounted shortfall as the allowance.

Also avoid treating a borrower’s financial distress as a required starting trigger. Current expected credit loss accounting estimates expected losses at reporting dates; it does not retain the old probable-loss recognition threshold. FASB’s credit-loss overview explains this distinction.

Exam tip for CPA candidates: check what the question asks for. “Required allowance” is the ending balance. “Credit loss expense” is the adjustment after any existing allowance. When a fixed-rate question gives both an original effective rate and a current market rate, discount at the original rate. The FAR blueprint expects you to calculate receivable allowances, including credit losses, and prepare the journal entries. For more practice, try the FAR Test Bank.

Practice questions and explained answers

1. Measure the allowance

A loan’s amortized cost is $40,000. The present value of expected receipts, using the appropriate effective rate, is $36,500. What allowance is required?

2. Identify the relevant rate

A fixed-rate loan’s original effective rate is 6%. Current market rates are 9%. Which rate applies to this lesson’s cash-flow measurement?

3. Discount a future shortfall

A $2,200 collection shortfall will occur in one year. The effective rate is 10%, and the contractual-receipt present value equals amortized cost. What is the allowance?

Review the measurement formula or revisit the worked practice questions before trying again.

Frequently asked questions

Can a loan have a credit loss when all principal will be collected?

Yes. Reduced expected interest receipts can make the present value of total expected receipts lower than amortized cost.

Is this the same as measuring fair value?

No. The fixed-rate calculation retains the loan’s original effective rate. Fair value is a different measurement objective.

Must every company use a discounted cash flow model?

No. ASC 326 allows several methods, including loss-rate, roll-rate, probability-of-default, and aging schedule methods, as well as discounted cash flow. One exception to that choice: when foreclosure is probable, the lender must use the collateral’s fair value. The FDIC’s CECL resources provide additional context on expected-loss estimation.

What is the formula for loan impairment?

With a discounted cash flow method, required allowance = amortized cost − present value of expected cash flows. For Cedar Lending, that’s $60,000 − $56,790.12 = $3,209.88.

What discount rate do you use for loan impairment?

Use the loan’s effective interest rate, not today’s market rate. For an unmodified fixed-rate loan, that’s the original effective rate.

What is the journal entry for loan impairment?

Debit Credit Loss Expense and credit Allowance for Credit Losses for the amount needed to reach the required allowance.

About the author: Mansour Farhat, CPA, CIA, DBA, is a veteran accounting educator and the founder of Farhat Lectures and its YouTube channel. He helps students and exam candidates understand accounting through clear explanations, practical examples, and step-by-step instruction, from introductory courses through the CPA, CMA, and Enrolled Agent (EA) exams. Read more about Professor Farhat.