Cash Accounting and Accrual Accounting

Why the Timing Basis Matters

Insurance cash flows and insurance activity do not always occur at the same time. A policyholder may pay premium before much of the coverage has been provided. A claim may arise in one period but be paid in another. If a reviewer compares cash received and paid in a period with premium and claim costs attributable to that period, the two results can differ substantially.

The distinction is useful for interpreting insurance results: a cash schedule answers what money moved during a period, while an accrual schedule answers what revenue and costs relate to that period. This tutorial uses simplified hypothetical schedules to focus on that timing distinction. It is aligned with the CAS Exam 5 (Basic Ratemaking and Estimated Claim Liabilities) syllabus.

Definition: Under a simplified cash basis, record premium when received and a claim or expense when paid. Under a simplified accrual basis, recognize premium as the related coverage is provided, and recognize a claim or expense in the period in which it is incurred or relates, even if payment occurs later. A period result is the period’s recognized premium less its recognized claims and expenses under the basis being used.

These definitions describe the timing distinction, not a complete set of financial-reporting rules. For the examples, assume all amounts are collectible, there are no taxes or investment income, and amounts are undiscounted. When premium is earned evenly over a stated coverage period, that allocation is an explicit simplifying assumption. Claim amounts are recognized when incurred; their subsequent payment changes cash, not the period in which the claim was incurred.

Two Schedules, Two Questions

For each period, keep separate totals for cash receipts, cash payments, premium recognized, and claims or expenses recognized. Then calculate each result by subtracting the appropriate costs from the appropriate premium:

\text{Cash result} = \text{premium cash received} - \text{claim and expense cash paid}

\text{Accrual result} = \text{premium recognized for the period} - \text{claims and expenses recognized for the period}

The same dollar amount can appear in both schedules, but generally in different periods. For instance, when a claim is incurred in Period 1 and paid in Period 2, it is a Period 1 cost in the accrual schedule and a Period 2 payment in the cash schedule. Do not move the incurred cost to Period 2 merely because the payment occurs then.

Worked Example: Premium Collected Before Two Half-Year Coverage Periods

A hypothetical insurer receives $2,400 at the start of a one-year policy. Assume coverage is provided evenly across two six-month periods, so $1,200 of premium is recognized in each half-year. A $350 claim is incurred in the first period and paid in the second. A separate $450 claim is incurred in the second period and paid the following January. There are no other claims or expenses. Calculate each half-year’s accrual result, each half-year’s cash result, and the following January’s cash result.

Method. First allocate premium and claims to the periods they relate to for accrual results. Separately place receipts and payments in the periods when cash moves.

First half-year, accrual basis. Recognized premium is $1,200. The $350 claim was incurred in this period, so recognized claims are $350. Therefore:

\$1{,}200-\$350=\$850

Second half-year, accrual basis. Recognized premium is $1,200. The $450 claim was incurred in this period. The $350 payment belongs to the first-half claim and is not a second-half claim cost. Therefore:

\$1{,}200-\$450=\$750

First half-year, cash basis. The insurer receives $2,400 and makes no claim payments in this half-year:

\$2{,}400-\$0=\$2{,}400

Second half-year, cash basis. No premium is received in this half-year. The insurer pays the earlier $350 claim, so the cash result is:

\$0-\$350=-\$350

Following January, cash basis. The insurer pays the $450 claim incurred in the second half-year and receives no premium:

\$0-\$450=-\$450

Check. The two accrual results total $850 + $750 = $1,600. Across the two half-years and following January, the cash results total $2,400 - $350 - $450 = $1,600. The timing differs by period, but the totals agree once the stated premium has been collected and both claims have been paid.

Common mistake avoided: The second-half cash result is not $0 just because there is no premium receipt. Cash also includes the $350 payment, giving $0 - $350 = -$350. The later $450 payment belongs in January’s cash schedule, not the second half-year’s.

Why Totals Can Agree While Period Results Differ

The reason for the difference is that the two methods assign the same underlying transactions to periods using different dates. Under the assumptions in a simple, completed example, summing across all periods eventually counts each premium amount once and each claim or expense once. The period-by-period allocations can differ even though the full-span totals agree.

For example, if premium is received before coverage is provided, the cash schedule records the receipt early, while the accrual schedule recognizes premium over the coverage periods. If a claim is incurred before it is paid, the accrual schedule records the cost first and the cash schedule records the payment later.

This reconciliation depends on the chosen horizon being complete and on the simplifying assumptions. If the horizon ends before a premium has been collected or a claim has been paid, the cash totals and accrual totals over that truncated horizon need not agree. Likewise, write-offs, uncollectible amounts, discounting, or other adjustments can make a simple cash-versus-accrual comparison insufficient.

Justification: Suppose a complete schedule includes every premium receipt and every related coverage period, and every claim or expense is ultimately paid. For each premium amount, cash accounting counts it once when received and accrual accounting counts the same total once as coverage is provided. For each claim or expense, accrual accounting counts it once when incurred and cash accounting counts the same total once when paid. Summing across the complete schedule therefore gives the same total premium and the same total costs under both methods. Subtracting costs from premium gives equal full-span results, although individual period results can differ.

Worked Example: Quarterly Results When Claims Are Paid Later

A hypothetical insurer receives $1,200 in premium at the start of a four-quarter coverage period. Assume $300 is recognized as premium in each quarter. A $180 claim is incurred in Quarter 1 and paid in Quarter 2. Another $180 claim is incurred in Quarter 3 and paid in Quarter 4. A $320 claim is incurred in Quarter 4 and paid the following year. There are no expenses. Calculate the accrual result and cash result for each quarter.

Method. Recognize each claim in its incurred quarter for accrual results; place each payment in its payment quarter for cash results.

Quarter 1. Accrual result is $300 - $180 = $120. The $1,200 premium is received, and no claim is paid in this quarter, so cash result is $1,200 - $0 = $1,200.

Quarter 2. Accrual result is $300 - $0 = $300. The insurer pays the Quarter 1 claim of $180 and receives no premium, so cash result is $0 - $180 = -$180.

Quarter 3. Accrual result is $300 - $180 = $120. No cash is received or paid, so cash result is $0 - $0 = $0.

Quarter 4. Accrual result is $300 - $320 = -$20. The insurer pays the earlier Quarter 3 claim of $180; the Quarter 4 claim is not paid until the following year. Therefore, the Quarter 4 cash result is $0 - $180 = -$180.

Check. Accrual results total $120 + $300 + $120 - $20 = $520. Cash results over the four quarters total $1,200 - $180 + $0 - $180 = $840. The remaining $320 claim payment occurs the following year, so the completed cash total is $840 - $320 = $520. The totals then agree.

Common mistake avoided: The Quarter 1 cash result is $1,200, not $1,020. The $180 claim is incurred in Quarter 1 but is not paid until Quarter 2, so it reduces Quarter 1’s accrual result and Quarter 2’s cash result.

Expenses Follow the Same Timing Distinction

An expense also has an incurred or related period and a payment date. If an expense relates to work performed in one period but is paid in a later period, it reduces the accrual result in the first period and the cash result in the later period. The exact recognition rules for particular types of expenses can depend on the applicable accounting framework; the following example states a simple timing assumption rather than establishing a universal rule for every expense.

Worked Example: Expense Incurred Before It Is Paid

A hypothetical insurer has a three-month coverage period and receives $900 at the start. Assume $300 of premium is recognized in each month. In Month 1, it incurs a $60 service expense and pays it immediately. In Month 2, it incurs a $90 service expense but pays it in Month 3. There are no claims or other expenses. Calculate the accrual and cash results for the three months.

Method. Assign premium evenly as stated. Recognize each service expense in the month it is incurred for accrual results; record its payment in the month cash is paid.

Month 1. Accrual result is $300 - $60 = $240. Cash result is $900 received less the $60 payment, or $900 - $60 = $840.

Month 2. Accrual result is $300 - $90 = $210. No cash is received or paid in this month, so cash result is $0.

Month 3. There is no newly incurred expense, so accrual result is $300 - $0 = $300. The insurer pays the $90 Month 2 expense and receives no cash, so cash result is $0 - $90 = -$90.

Check. Accrual results total $240 + $210 + $300 = $750. Cash results total $840 + $0 - $90 = $750. The schedules agree over the full coverage period and payment period.

Common mistake avoided: The $90 expense reduces Month 2 accrual result even though no cash is paid in Month 2. It reduces Month 3 cash result when the payment occurs, but it is not a Month 3 incurred expense.

Common Mistakes and Practical Checks

Using payment date as the claim-incurrence date. A payment in the current period may settle a claim incurred earlier. Keep the incurred period and paid period separate.
Subtracting a future payment from current cash. A claim that will be paid next month does not reduce this month’s cash result.
Treating all premium received as current-period accrual premium. If coverage extends across several periods, use the stated allocation assumption to determine what relates to each period.
Assuming period results must match. Cash and accrual results can differ even when the full-span totals agree.
Comparing incomplete horizons. Before expecting totals to reconcile, check whether the schedule includes the relevant coverage and all related receipts and payments.

Key takeaway: For every amount, ask two separate questions: “When was it received or paid?” and “Which period does it relate to?” The first determines its cash-period placement; the second determines its accrual-period placement.

Check Your Understanding

For each problem, calculate the requested results using only the stated assumptions. Treat all amounts as dollars and round to the nearest cent if needed.

A hypothetical insurer receives $1,000 at the start of a two-quarter coverage period and recognizes $500 of premium in each quarter. A $140 claim is incurred in Quarter 1 and paid in Quarter 2. Find Quarter 1 accrual and cash results. (Answer: accrual result $360; cash result $1,000.)
A policy produces $800 of premium cash in Month 1, but coverage is provided evenly over four months, at $200 per month. A $75 claim is incurred and paid in Month 1. Find Month 1 accrual and cash results. (Answer: accrual result $125; cash result $725.)
Premium of $600 is received in Quarter 1 for a three-quarter coverage period, with $200 recognized per quarter. A $90 claim is incurred in Quarter 1 and paid in Quarter 2; a $130 claim is incurred and paid in Quarter 3. Find Quarter 2 accrual and cash results. (Answer: accrual result $200; cash result -$90.)
A hypothetical two-period policy has $1,500 premium received at inception and $750 recognized in each period. A $250 claim is incurred in Period 1 and paid in Period 2. A $400 claim is incurred in Period 2 and paid the following period. Find each period’s accrual result, each period’s cash result, and the following-period cash result. (Answer: accrual results $500 and $350; cash results $1,500 and -$250; following-period cash result -$400.)
An insurer receives $900 for three months of coverage and recognizes $300 per month. It incurs a $100 expense in Month 1 and pays it in Month 2; it incurs a $50 expense in Month 2 and pays it in Month 3. Find Month 1, Month 2, and Month 3 accrual and cash results. (Answer: accrual results $200, $250, and $300; cash results $900, -$100, and -$50.)

What You'll Learn