2.4 Installment sales

Installment sales are transactions where the buyer pays in periodic installments over an extended period rather than all at once. This payment structure creates specific challenges for revenue recognition, receivables accounting, and financial statement presentation that differ significantly from ordinary sales. Understanding how profit gets recognized across multiple periods is central to this topic.

Installment sales overview

In a typical sale, the seller collects payment at or near the time of sale. With installment sales, the seller essentially finances the purchase, collecting cash over months or years. This arrangement lets sellers reach customers who can't pay the full price upfront, potentially increasing sales volume.

The trade-off is accounting complexity. Because cash arrives gradually, the seller faces questions about when to recognize profit, how to handle customers who stop paying, and how to present these long-term receivables on the balance sheet.

Revenue recognition for installment sales

Two methods handle profit recognition when collection is uncertain: the cost recovery method and the installment method. Both defer profit recognition based on cash actually collected, but they differ in how much profit gets recognized and when.

Cost recovery method

The cost recovery method is the more conservative of the two. Under this approach, the seller recognizes zero gross profit until all costs of the merchandise sold have been recovered through cash collections. Only after the full cost is recovered does any additional cash count as profit.

For example, say you sell goods with a cost of $8{,}000$ for a contract price of $10{,}000$. The first $8{,}000$ collected is treated as cost recovery only. The remaining $2{,}000$ collected after that point is recognized as gross profit. This method is used when collectibility is highly uncertain.

Installment method

The installment method recognizes a proportional share of gross profit with each cash collection. You calculate a gross profit percentage and apply it to every payment received.

Steps to apply the installment method:

1. Calculate total gross profit: $\text{Contract Price} - \text{Cost of Goods Sold}$

2. Calculate the gross profit percentage: $\frac{\text{Total Gross Profit}}{\text{Total Contract Price}}$

3. For each cash collection, recognize gross profit: $\text{Cash Collected} \times \text{Gross Profit Percentage}$

Using the same example: contract price = $10{,}000$, cost = $8{,}000$, so gross profit = $2{,}000$ and the gross profit percentage = $\frac{2{,}000}{10{,}000} = 20\%$. If the buyer pays $3{,}000$ in Year 1, you recognize $3{,}000 \times 20\% = \$600$ in gross profit that year.

This produces a more even distribution of profit over the life of the contract compared to the cost recovery method.

Accounting for uncollectible installment receivables

Allowance method for installment receivables

Under the allowance method, the seller estimates uncollectible amounts based on historical experience or other relevant factors and establishes an allowance for doubtful accounts. Bad debt expense is recognized in the period of sale, and the allowance is adjusted periodically. When a specific account is identified as uncollectible, it's written off against the allowance.

This method aligns with the matching principle because the estimated bad debt expense is recorded in the same period as the related revenue.

Direct write-off method for installment receivables

The direct write-off method recognizes bad debt expense only when a specific receivable is determined to be uncollectible. No allowance is set up in advance.

This method is generally not acceptable under GAAP because it violates the matching principle. The bad debt expense may be recorded in a completely different period than the revenue it relates to. You should know this distinction for exam purposes: the allowance method is the GAAP-compliant approach.

Deferred gross profit in installment sales

Calculating deferred gross profit

Deferred gross profit is the portion of total gross profit that hasn't been recognized yet because the related cash hasn't been collected. It appears on the balance sheet and decreases over time as payments come in.

Two equivalent ways to calculate it:

• $\text{Total Gross Profit} - \text{Cumulative Gross Profit Recognized to Date}$
• $\text{Gross Profit Percentage} \times \text{Remaining Unpaid Balance}$

Continuing the earlier example: if $3{,}000$ of the $10{,}000$ has been collected, the remaining balance is $7{,}000$. Deferred gross profit = $7{,}000 \times 20\% = \$1{,}400$. This matches $2{,}000 - 600 = \$1{,}400$.

Recognizing deferred gross profit

As each installment payment arrives, a proportional amount of deferred gross profit is recognized as realized gross profit using the gross profit percentage. This ensures profit recognition tracks the actual cash inflow from the sale.

Installment sales vs regular sales

Revenue recognition differences

In a regular sale, revenue is recognized in full at the point of sale (when control transfers to the buyer under ASC 606). The entire gross profit hits the income statement immediately.

With installment sales, profit recognition is spread across the collection period. The total profit is the same in both cases; the difference is purely about timing. Installment methods exist specifically for situations where the uncertainty of collection makes immediate full recognition inappropriate.

Balance sheet presentation differences

Financial statement disclosures for installment sales

Required note disclosures

Companies must disclose information about installment sales in the notes to the financial statements. Typical disclosures include:

• Terms of the installment contracts (interest rates, payment schedules, duration)
• Total installment receivables outstanding
• Allowance for doubtful accounts related to installment receivables
• Deferred gross profit balance

These disclosures help financial statement users evaluate the nature and risk profile of the company's installment sales.

Supplementary schedules

Companies may also provide aging schedules for installment receivables and projections of expected future cash collections. These give users additional insight into the collectibility and timing of cash flows, which is important for assessing liquidity and credit risk.

Repossession of goods in installment sales

Accounting for repossessed goods

When a buyer defaults and the seller takes back the goods, the accounting involves several steps:

1. Record the repossessed inventory at its fair value less estimated costs to sell (net realizable value)
2. Remove the installment receivable from the books
3. Remove the related deferred gross profit
4. Recognize any difference as a gain or loss on repossession

Recognizing gains or losses on repossession

The gain or loss is determined by comparing what you get back (fair value of repossessed goods + any cash already received) against what you give up (the receivable balance and related deferred gross profit).

• If the fair value of repossessed goods exceeds the net receivable (receivable minus deferred gross profit), a gain is recognized
• If the fair value is less than the net receivable, a loss is recognized

These gains or losses are included in net income for the period of repossession.

Income tax considerations for installment sales

Installment sales vs accrual basis for taxes

For tax purposes, companies may choose between:

• Installment method: Recognize gross profit for tax purposes proportionally as cash is collected (mirrors the financial reporting treatment)
• Accrual basis: Recognize the entire gross profit in the year of sale, regardless of when cash is collected

The choice affects the timing of tax payments but not the total tax paid over the life of the contract.

Deferred tax liabilities in installment sales

When a company uses different methods for book and tax purposes, temporary differences arise. A common scenario: a company uses the installment method for financial reporting (deferring some profit) but the accrual basis for taxes (recognizing all profit immediately). In this case, the company pays tax now on profit it hasn't yet recognized in the financial statements.

The reverse is also possible. If a company uses the accrual method for books but the installment method for taxes, it recognizes book income before paying tax on it. This creates a deferred tax liability because the company will owe taxes in future periods when the cash is collected.

Deferred tax liabilities are measured using the enacted tax rates expected to apply when the temporary differences reverse.