Why a Premium Audit Changes the Accounts
Some policies begin with premium based on estimated exposure, such as estimated payroll or sales. A later audit compares that estimate with the exposure measured for the policy period and determines a revised premium. The difference is an adjustment to the policy’s premium, not a new policy. If the adjusted amount is not yet collected or refunded, the audit can also change what the policyholder owes, or what the insurer owes the policyholder.
The accounting question has two parts. First, how much does the audit change written premium and the related receivable or payable? Second, as of the accounting cutoff, what portion of that change relates to coverage already provided, and what portion relates to coverage still to come? The policy period determines the earning allocation; the date the audit is recorded does not, by itself, make the entire adjustment earned.
For the calculations below, assume coverage earns evenly over the policy term. Let \(q\) be the fraction of the term elapsed at the accounting cutoff, with \(0\leq q\leq1\). Under this straight-line assumption, the earned and unearned portions of the audit adjustment are \(q\Delta W\) and \((1-q)\Delta W\), respectively. These amounts retain the sign of the adjustment: a negative audit adjustment reduces both earned premium and the unearned premium liability to the extent each portion relates to the cutoff.
Here, \(EP\) denotes earned premium and \(UPR\) the unearned premium liability. A positive \(\Delta UPR\) increases that liability; a negative value decreases it. The allocation is applied to the audit difference, while the policy’s original premium remains accounted for as before.
Why the Allocation Works
With straight-line earning, a premium for a full policy term is earned in proportion to the time for which coverage has been provided. If the policy has elapsed fraction \(q\), then a full-term premium \(W\) contributes \(qW\) to earned premium and \((1-q)W\) to unearned premium. The audited premium changes the full-term amount from \(W_0\) to \(W_1\). Subtracting the original allocation from the revised allocation gives the changes:
The two changes reconcile to the total written-premium adjustment:
This allocation assumes the adjusted premium corresponds uniformly to the policy term and that straight-line earning is appropriate. If coverage or exposure does not accrue evenly over time, an appropriate exposure-based earning pattern may be needed instead. The straight-line formulas should not be used automatically when their assumptions do not fit.
Worked Examples
Worked Example: Additional Premium Audited Halfway Through the Term
A hypothetical 12-month commercial policy was written for an estimated premium of $1,200. At the six-month accounting cutoff, an audit establishes a revised total premium of $1,500. Assume straight-line earning, and assume the additional amount is due from the policyholder. Find the change in written premium, the receivable, earned premium, and UPR.
Method. First find the difference between the audited total and the amount already written:
There are 6 elapsed months out of 12, so \(q=6/12=0.5\). The written premium increases by $300, and the additional premium receivable is $300. The earned portion of the adjustment is:
The unearned portion is:
Before the audit, the $1,200 premium had produced earned premium of \(0.5(\$1,200)=\$600\) and UPR of \(0.5(\$1,200)=\$600\). After the audit, earned premium is \(\$600+\$150=\$750\), and UPR is \(\$600+\$150=\$750\). The revised premium reconciles: \(\$750+\$750=\$1,500\).
Accounting interpretation. Record a $300 increase in written premium and a $300 premium receivable. At the cutoff, $150 of that increase is earned and $150 increases UPR. The calculation avoids treating the whole audit amount as earned merely because the audit was recorded at the cutoff.
Worked Example: Downward Audit Adjustment After Expiration
A hypothetical one-year policy was written for $2,400. After the policy expires, a completed audit reduces the final premium to $2,100. Assume the original premium has already been collected and the $300 difference must be refunded. Determine the written-premium adjustment, the liability to the policyholder, and the earned-premium effect.
Method. The total premium reduction is:
The audit reduces written premium by $300. Because the original premium has been collected, the insurer now owes the policyholder a $300 refund; it is not an additional premium receivable. The policy has expired, so \(q=1\). Thus:
Before the audit, the full $2,400 was earned and UPR was $0. After the audit, total earned premium is \(\$2,400-\$300=\$2,100\), and UPR remains $0. The final premium is fully earned, and the $300 refund obligation balances the $300 reduction in written premium.
Accounting interpretation. The adjustment decreases written and earned premium by $300 and creates a $300 amount payable to the policyholder under the stated collection assumption. It does not create a receivable. The method avoids the error of calling every audit difference an amount due to the insurer.
Worked Example: Audited Exposure Changes Premium Before Expiration
A hypothetical 12-month policy was written for an estimated premium of $4,800 based on estimated annual payroll. At the end of month 9, an audit establishes a revised total premium of $6,000. Assume the additional premium is due and that the premium earns evenly over the term. Find the adjustment and the revised earned-premium and UPR balances.
Method. The audit changes the full-term premium by:
The elapsed fraction is \(q=9/12=0.75\), so the additional premium receivable and written premium are each $1,200. The earned portion is:
The unearned portion is:
Before the audit, earned premium was \(0.75(\$4,800)=\$3,600\), and UPR was \(0.25(\$4,800)=\$1,200\). After the audit, earned premium is \(\$3,600+\$900=\$4,500\), and UPR is \(\$1,200+\$300=\$1,500\). The balance check is \(\$4,500+\$1,500=\$6,000\), equal to the revised total premium.
Accounting interpretation. The audit increases written premium and the receivable by $1,200, but only $900 is earned at the cutoff. The remaining $300 is unearned. This method avoids using the audit date as if it were the coverage period.
Recording and Reconciling the Adjustment
The adjustment’s direction determines the receivable treatment. For additional premium, the policyholder owes more than the amount previously recognized, so premium receivables increase. For a downward adjustment, reduce an outstanding receivable if that balance remains due. If the original amount has already been collected, a downward adjustment instead gives rise to an amount payable or refund obligation. The cash collection or refund may occur later; it does not change the amount of premium established by the audit.
Written premium and earned premium answer different questions. Written premium reflects the revised premium for the policy. Earned premium reflects the portion attributable to coverage provided by the cutoff. The difference between the cumulative written and earned amounts is represented by UPR under the assumptions used here. The audit date determines when the adjustment is recognized in the accounting records, while the elapsed portion of the policy term determines its earned allocation at a reporting date.
Subtract the premium already written from the revised total premium: \(\Delta W=W_1-W_0\).
A positive difference generally increases premium receivables. A negative difference reduces an outstanding receivable or, if already collected, creates a refund payable.
Under straight-line earning, divide the policy term elapsed at the cutoff by the full policy term. Do not substitute the fraction elapsed when the audit itself was processed.
Calculate \(q\Delta W\) and \((1-q)\Delta W\). Confirm that the earned and unearned changes sum to the written-premium change.
Common Mistake: Earning the Entire Audit Adjustment
A common error is to record a positive audit adjustment as fully earned because the final premium is now known. In the first worked example, that would incorrectly report a $300 increase in earned premium and no UPR change. At the six-month cutoff, only half of the policy term has elapsed. Under straight-line earning, the correct calculation is \(0.5(\$300)=\$150\) earned and \(0.5(\$300)=\$150\) unearned. The check is \(\$150+\$150=\$300\).
The opposite error is to allocate the adjustment using the time between the audit and the cutoff. The relevant fraction is the portion of the policy term elapsed at the accounting cutoff, because the premium adjustment relates to that coverage period. For an expired policy, \(q=1\), so the entire adjustment affects earned premium and none affects UPR. For a policy not yet started, \(q=0\), so the adjustment is entirely unearned under the straight-line assumption.
Check Your Understanding
For each hypothetical policy, assume straight-line earning unless the question says the policy has expired. Track the premium adjustment separately from the original premium.
- A 12-month policy was written for $900. At the end of month 3, an audit revises the total to $1,200, with the additional amount due. Find the change in written premium, receivable, earned premium, and UPR. (Answer: written premium and receivable increase by $300; earned premium increases by $75; UPR increases by $225.)
- A 12-month policy was written for $3,600. At the end of month 8, an audit revises the total to $3,300. Find the adjustment to earned premium and UPR, and the revised earned-premium and UPR balances. (Answer: written premium decreases by $300; earned premium decreases by $200 to $2,200; UPR decreases by $100 to $1,100.)
- A policy has expired, and an audit increases its written premium from $5,000 to $5,400. The original premium was collected, and the additional amount is due. Find the receivable, earned-premium, and UPR adjustments. (Answer: receivable increases by $400; earned premium increases by $400; UPR changes by $0.)
- A 12-month policy was written for $2,400. At the end of month 5, an audit revises the total premium to $3,000. Find the adjustment to earned premium and UPR, then the revised balances. (Answer: written premium increases by $600; earned premium increases by $250 to $1,250; UPR increases by $350 to $1,750.)
- A 10-month policy was written for $7,200. At the end of month 7, an audit revises the total to $8,100. Find the premium receivable and the earned and unearned portions of the adjustment. (Answer: receivable and written premium increase by $900; earned premium increases by $630; UPR increases by $270.)