Why Cancellations and Endorsements Need Separate Tracking
A policy’s premium can change after it is first issued. A cancellation ends coverage before the scheduled expiration date; an endorsement changes the coverage or terms while the policy remains in force. In either case, the premium account must reflect both the amount charged or credited and the coverage actually provided over time.
These amounts are connected but are not interchangeable. A cancellation may create a premium credit, but the amount of cash refunded depends on whether the insured has already paid or still owes premium. An endorsement may be processed after its effective date, but its effect on earned premium follows the effective coverage dates, not simply the date the paperwork is entered.
Pro-Rata Earning and Cancellation Credits
A straightforward calculation assumes premium is earned evenly over the coverage period. This is a pro-rata, or straight-line, earning assumption. For a policy with constant premium and no seasonal adjustment, the earned share is the fraction of the policy term that has elapsed while coverage was in force.
For a pro-rata cancellation, the unearned portion is the premium credit attributable to the canceled future coverage. This is a premium-account credit; it is not automatically the amount of cash paid back. If an insured has an unpaid balance, the credit can first reduce that balance. Contractual fees or short-rate cancellation provisions can also change the amount, so a pro-rata calculation applies only when the policy terms call for pro-rata treatment.
The reason the calculation works is that, under straight-line earning, each equal unit of time carries an equal share of the premium. If a term consists of \(T\) days and \(e\) days of coverage have been provided, each day accounts for \(1/T\) of the term premium. The covered days therefore account for \(e/T\) of the premium, leaving \((T-e)/T\) unearned:
This justification depends on uniform earning. It does not establish that risk is actually uniform throughout the term. If an applicable contract or accounting basis uses another earning pattern, apply that basis instead.
Worked Example: Pro-Rata Cancellation With an Outstanding Balance
A hypothetical annual policy runs from January 1 through December 31, 2025, a 365-day term. Its $1,460 premium was fully billed. The insured paid $1,000 and has a $460 receivable balance. Coverage is canceled effective July 1. Assume pro-rata cancellation, no fee, no interest, and a cancellation credit calculated from the remaining coverage period. Find the earned premium, cancellation credit, and amount ultimately refundable.
Method. Count the days covered before cancellation, then separate the premium credit from the cash settlement. Coverage runs from January 1 through June 30: 31 + 28 + 31 + 30 + 31 + 30 = 181 days. The remaining period, July 1 through December 31, is 184 days, and 181 + 184 = 365.
The earned premium is:
The pro-rata cancellation credit for the 184 remaining days is:
The $736 credit first offsets the $460 still due. The remaining credit is payable to the insured:
Check. Net premium retained after the cancellation is $1,460 − $736 = $724, equal to earned premium. The insured’s $1,000 payment less the $276 refund also equals $724. The common mistake avoided here is treating the full $736 cancellation credit as a cash refund without considering the outstanding receivable.
Endorsements: Adjust the Premium for the Affected Coverage
An endorsement can increase or decrease premium. Under a pro-rata approach, calculate the change using the premium difference applicable to the changed coverage and the portion of the term for which that change applies. For a simple annual policy divided into months, an annualized premium change effective for \(m\) months of a 12-month term produces an adjustment of the annualized change multiplied by \(m/12\). Use the actual day count instead if the policy’s premium basis requires it.
The effective date identifies when the coverage change begins. The recording date identifies when the transaction is entered into the premium account. These dates can differ. The adjustment is recorded in the appropriate accounting period under the applicable recording convention, while the earning calculation reflects the dates the revised coverage was in force. A late-entered endorsement can therefore require an adjustment to earned premium for coverage already provided.
Worked Example: Midterm Increase in Coverage
A hypothetical policy covers January 1 through December 31, 2025, and has an original annual premium of $2,400, earned evenly by month. An endorsement increases coverage effective July 1. The additional coverage would cost $360 for a full year. Assume the endorsement is recorded on July 1, the adjustment is pro-rata for the remaining six months, and there are no fees. Find the written premium adjustment, earned premium through September 30, and unearned premium at that date.
Method. First calculate the endorsement’s charge for the six months from July through December:
The written-premium adjustment is therefore +$180, and total written premium for the policy term is $2,400 + $180 = $2,580.
By September 30, nine months of the original coverage have been provided. The original premium earned is:
The increased coverage has been in force for July, August, and September, or three months. Its earned premium is:
Total earned premium through September 30 is $1,800 + $90 = $1,890. The remaining unearned premium consists of three months of original coverage, $2,400 × 3/12 = $600, plus three months of the additional coverage, $360 × 3/12 = $90. Thus unearned premium is $600 + $90 = $690.
Check. Written premium equals earned plus unearned premium: $2,580 = $1,890 + $690. The common mistake avoided is charging the full $360 annualized amount for an endorsement that applies for only half the policy term.
When Premium Changes More Than Once
If an endorsement changes premium partway through a term and the policy is then canceled, do not assume one premium amount applied over the whole policy period. Divide the coverage into segments for which the premium rate was constant. Calculate the earned amount for each covered segment, add the segment amounts, and compare that total with the premium written for the policy and its adjustments.
Identify the policy start and end dates, each endorsement’s effective date, and the cancellation effective date.
For each time segment, determine which premium amount applies. Keep an annualized change separate from the pro-rata amount actually written.
Apply the stated earning basis to the covered time in each segment, then add the results.
Subtract total earned premium from the relevant written premium to find the unearned amount under the assumed basis. Then apply any credit against amounts owed before identifying cash payable.
Worked Example: Endorsement Followed by Cancellation
A hypothetical policy runs January 1 through December 31, 2025, a 365-day term. Its original premium is $3,650, equivalent to $10 per day under the assumed straight-line basis. On April 1, an endorsement adds coverage with a full-year annualized premium of $730, or $2 per day. The endorsement is recorded effective April 1. The policy is canceled effective October 1. Assume pro-rata adjustments, no fees, and no interest. Find total written premium, earned premium, the cancellation credit, and the net account balance if $3,000 has already been paid.
Method. The endorsement applies from April 1 through December 31, 275 days. Its written adjustment is:
Total written premium before the cancellation adjustment is $3,650 + $550 = $4,200. Coverage is provided from January 1 through September 30, 273 days. The original coverage earns $10 per covered day:
The added coverage applies from April 1 through September 30, 183 days, and earns:
Total earned premium is $2,730 + $366 = $3,096. The cancellation credit is the unearned portion: $4,200 − $3,096 = $1,104. Equivalently, the unearned amount consists of 92 days of original coverage at $10 per day, or $920, plus 92 days of added coverage at $2 per day, or $184; $920 + $184 = $1,104.
After the $1,104 credit, net premium due for the covered period is $4,200 − $1,104 = $3,096. Since $3,000 has been paid, the insured owes $3,096 − $3,000 = $96; there is no net cash refund. The cancellation credit is not itself the refund. Check: the account’s net premium after cancellation matches earned premium, $3,096. The common mistake avoided is prorating one blended annual premium over the full term even though the endorsement changed the premium schedule on April 1.
Common Mistakes and Practical Checks
Cancellations and endorsements are easier to reconcile when the coverage dates, premium adjustments, and account balance are kept distinct. In particular:
- Do not confuse a premium credit with a cash refund. Apply the credit to any unpaid premium before deciding whether money is payable to the insured.
- Do not use the processing date as the coverage effective date. The processing date may determine when a transaction is recorded; the effective date determines when the changed coverage applies.
- Do not charge an entire annualized endorsement amount automatically. Prorate it for the time the changed coverage applies when the contract and calculation basis require pro-rata treatment.
- Do not use a single rate across periods with different coverage or premium schedules. Calculate the earned amount separately for each segment.
- Do not assume every cancellation is pro-rata. Check the policy’s cancellation terms; short-rate provisions or fees can make the credit differ from the unearned premium under straight-line earning.
A useful reconciliation under the simple pro-rata assumptions is that, after all changes and a cancellation, net written premium retained should equal earned premium for the coverage provided. If those amounts do not agree, check the dates, day counts, adjustment signs, and any policy-specific cancellation terms. This accounting treatment supports accurate premium balances and period results; it is aligned with the CAS Exam 5 (Basic Ratemaking and Estimated Claim Liabilities) syllabus.
Check Your Understanding
For each hypothetical policy, use the stated pro-rata basis and show the intermediate calculations before checking the answer.
- A 365-day policy has a $1,800 premium and is canceled effective September 1, 2025. Coverage began January 1. Find the earned premium and cancellation credit. (Answer: 243 covered days; earned premium $1,198.36; cancellation credit $601.64.)
- A policy has a $2,400 annual premium. An endorsement adds coverage with an annualized premium of $360, effective July 1. Find the written endorsement adjustment and earned premium through September 30, including both the original and added coverage. (Answer: written adjustment +$180; earned premium $1,890.)
- A policy has a $3,650 original premium for January 1 through December 31, 2025. An endorsement adds $730 annualized premium effective April 1, and the policy is canceled effective October 1. Find total written premium before cancellation, earned premium, and the pro-rata cancellation credit. (Answer: written premium $4,200; earned premium $3,096; cancellation credit $1,104.)
- A policy has a $2,400 annual premium. A reduction of $480 annualized is effective October 1 but is recorded November 15. Assume monthly straight-line earning and that the full three-month reduction is recorded. Find the written premium after the adjustment and earned premium through November 30. (Answer: written premium $2,280; earned premium $2,120.)
- A policy’s written premium after all endorsements is $2,580. At a reporting date, earned premium is $1,890, and the insured has paid $2,000. Find unearned premium and the net account position after recognizing the earned amount. (Answer: unearned premium $690; the insured has a $110 credit balance, subject to the applicable settlement terms.)