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CAS Exam 5 · Loss and Expense Measures · Tutorial 75 of 989

Loss Adjustment Expenses and Their Purpose

Identify loss adjustment expenses and combine them consistently with indemnity while keeping underwriting expenses separate.

Beginner 10 min read

What You'll Learn

  • Define loss adjustment expenses by their purpose in handling claims.
  • Distinguish claim adjustment costs from indemnity payments.
  • Separate claim handling costs from underwriting expenses.
  • Calculate total loss and loss adjustment expense from hypothetical claim records.
  • Explain why excluding loss adjustment expenses can distort comparisons of claim costs.

Why Claim Costs Include More Than Payments to Insureds

When an insurer pays a covered claim, the payment to the insured or another claimant is not necessarily the insurer’s only cost of resolving that claim. The insurer may also need to investigate what happened, evaluate the amount of damage, determine coverage, and arrange settlement. Those activities incur costs of their own. Measuring only claim payments can therefore leave out part of the cost of providing insurance.

For ratemaking and claim-cost measurement, it is important to identify the purpose of each cost. A payment that compensates for covered damage is an indemnity payment. A cost incurred to investigate, evaluate, or settle a claim is a loss adjustment expense. A cost of selling or administering the insurance contract, rather than handling a claim, is an underwriting expense.

Definition: Loss adjustment expenses (LAE) are costs incurred in investigating, evaluating, and settling insurance claims. Indemnity is the amount paid or payable to compensate for covered loss. LAE and indemnity are distinct components of claim-related cost. Underwriting expenses arise from activities such as acquiring or administering insurance business, rather than from adjusting claims.

A practical classification question is: What activity caused this cost? A payment for a damaged building is indemnity. A fee for inspecting that building to assess the claim is LAE. A commission paid to obtain the policy is an underwriting expense. The fact that all three amounts relate to the same policyholder does not make them the same type of cost.

Insurance records may use “loss” narrowly to mean indemnity, or may use broader labels for amounts that combine indemnity and LAE. Before comparing totals, check the definition used in the data. In this tutorial, \(I\) denotes indemnity, \(A\) denotes LAE, and claim-related cost means their sum, \(C=I+A\). This accounting identity assumes that each dollar is classified once and that both components are measured on a consistent basis and for the same period.

Distinguishing the Three Cost Types

Cost typeWhat the cost pays forHypothetical examples
IndemnityCompensation for covered lossPayment for a damaged roof or a covered medical bill
LAEInvestigating, evaluating, or settling a claimProperty inspection, claim-related legal review, or claim-handler time
Underwriting expenseAcquiring or administering insurance businessPolicy sales commission, advertising, or policy issuance work

These descriptions focus on the purpose of the expenditure, not the name of the department that processed it. For example, staff salary can be LAE when the staff member handles claims. Salary for staff who issue policies is an underwriting expense. A vendor invoice can likewise be LAE or indemnity depending on what the vendor provided and how the payment is treated under the policy and the insurer’s accounting rules. If a transaction’s purpose or accounting treatment is unclear, it should not be classified by guesswork.

Some claim-related costs relate to a particular claim; others support claim handling across a group of claims. Both can be LAE if they are incurred for claim investigation, evaluation, or settlement. The detailed treatment of different LAE categories is a separate classification question. At this stage, the central distinction is between claim-handling purpose and policy acquisition or administration.

Combining Indemnity and LAE

When the objective is to measure total claim-related cost, add indemnity and LAE. If \(I\) and \(A\) are measured for the same group of claims, period, and accounting basis, then \(C=I+A\). The addition does not require the two components to be statistically independent. It is simply the total of two distinct parts of the cost being measured.

$$ C = I + A $$

The reason this sum is useful can also be expressed in terms of average cost. Let \(I_j\) and \(A_j\) be the indemnity and LAE for exposure \(j\), and let \(C_j=I_j+A_j\). For a fixed set of \(n\) exposures, the average claim-related cost is

$$ \frac{1}{n}\sum_{j=1}^{n} C_j = \frac{1}{n}\sum_{j=1}^{n} I_j + \frac{1}{n}\sum_{j=1}^{n} A_j. $$

This follows by substituting \(C_j=I_j+A_j\) and distributing the sum across addition. Thus, omitting LAE lowers the measured average cost by the average LAE per exposure, provided all amounts are on the same basis. If the amounts are random variables with finite expectations, the corresponding result is \(E[C]=E[I]+E[A]\). Linearity of expectation does not require independence between indemnity and LAE.

The sum is only meaningful when the underlying measurements are compatible. Do not add paid indemnity for one period to LAE incurred for a different period without a stated reason. Similarly, do not add an LAE total to a loss figure that already includes LAE: that would count the same cost twice. Check whether each measure is paid or incurred, what time period it covers, and whether its definition already includes the other component.

Worked Example: Separating Claim Payments From Claim-Handling Costs

A hypothetical property claim has indemnity payments of $14,800 for repairs and $3,200 for additional covered damage. The claim file also records a $480 inspection fee, a $720 independent evaluation fee, and $1,100 for claim-related legal review. A $900 policy sales commission and a $1,250 advertising charge appear in the same policy record. Find indemnity, LAE, total claim-related cost, and LAE as a percentage of indemnity. All amounts are nominal dollars for the same period; no interest, mortality, or probability model is assumed.

Method and classification. Classify each item by purpose. The two covered-damage payments are indemnity. The inspection, evaluation, and claim-related legal review support investigation or settlement, so they are LAE. The commission and advertising relate to acquiring business, so they are underwriting expenses and are excluded from claim-related cost.

Step 1: Total indemnity. \(I=\$14{,}800+\$3{,}200=\$18{,}000.\)

Step 2: Total LAE. \(A=\$480+\$720+\$1{,}100=\$1{,}200+\$1{,}100=\$2{,}300.\)

Step 3: Combine the claim-related components. \(C=I+A=\$18{,}000+\$2{,}300=\$20{,}300.\)

Step 4: Calculate the LAE-to-indemnity ratio. \(A/I=\$2{,}300/\$18{,}000=0.127777\ldots\), or \(12.78\%\) rounded to two decimal places.

Check and common mistake. The claim-related total exceeds indemnity by exactly $2,300, the LAE amount. Adding the commission and advertising would incorrectly include $2,150 of underwriting expense, producing $22,450 rather than $20,300. That mistake is avoided by classifying costs by purpose before totaling them.

Shared Claim-Handling Costs Still Have a Claim Purpose

Not every claim-handling cost arrives as an invoice tied to one claim. A hypothetical insurer may pay salaries for employees who handle claims across a portfolio. If the recorded amount represents work on claim investigation, evaluation, or settlement, its purpose is claim adjustment. It remains distinct from indemnity even though it is not itself a payment to a claimant. The accounting method used to associate shared costs with a group of claims should be consistent with the intended measure.

Worked Example: A Group of Claims and Shared Handling Cost

For a hypothetical group of claims, recorded indemnity payments are $5,600, $9,400, and $2,000. Claim-specific investigation and evaluation fees are $350, $900, and $450, respectively. The group also has $2,400 of salary cost for staff whose recorded work was handling these claims. The same ledger includes $700 of policy issuance work. Calculate group indemnity, LAE, total claim-related cost, and LAE as a percentage of claim-related cost. Amounts are nominal dollars for the same period; no interest, mortality, or probability model is assumed.

Method and classification. Add the three indemnity amounts. The investigation and evaluation fees, together with the stated claim-handling salary, are LAE under the facts given. Policy issuance is an underwriting activity and is excluded.

Step 1: Group indemnity. \(I=\$5{,}600+\$9{,}400+\$2{,}000=\$15{,}000+\$2{,}000=\$17{,}000.\)

Step 2: Claim-specific LAE. \(\$350+\$900+\$450=\$1{,}250+\$450=\$1{,}700.\)

Step 3: Add the shared claim-handling salary. \(A=\$1{,}700+\$2{,}400=\$4{,}100.\)

Step 4: Total claim-related cost. \(C=\$17{,}000+\$4{,}100=\$21{,}100.\)

Step 5: LAE share of claim-related cost. \(A/C=\$4{,}100/\$21{,}100=0.194312\ldots\), or \(19.43\%\) rounded to two decimal places.

Check and common mistake. The result satisfies \(C-I=\$21{,}100-\$17{,}000=\$4{,}100=A\). Including the $700 policy issuance amount as LAE would be wrong: it does not arise from adjusting claims. The distinction is based on the activity performed, not on whether the amount is in the same ledger.

Why LAE Matters in Comparisons

Two groups can look different when measured by indemnity alone and still be closer, or farther apart, when claim-related cost includes LAE. A comparison should therefore state its measure explicitly. Indemnity per exposure answers a different question from indemnity plus LAE per exposure. Neither measure should be labeled as the other.

The following hypothetical comparison illustrates the arithmetic, not a rate indication. The exposure counts and costs are assumed to cover the same period and to be measured consistently. No adjustment is made for differences in coverage, claim maturity, or exposure characteristics, so the calculation alone does not justify a pricing decision.

Worked Example: Comparing Claim-Related Cost per Exposure

Two hypothetical coverage segments have the following experience for a common period. Segment A has 200 exposures, $154,000 of indemnity, and $23,000 of LAE. Segment B has 150 exposures, $126,000 of indemnity, and $27,000 of LAE. Calculate indemnity per exposure, LAE per exposure, and total claim-related cost per exposure for each segment. Then compare the combined measures. All dollar amounts are for the same period; no interest, mortality, or probability model is assumed.

Method. For each segment, divide each total by its exposure count. Add the indemnity and LAE amounts before dividing to obtain total claim-related cost per exposure.

Step 1: Segment A indemnity per exposure. \(\$154{,}000/200=\$770.\)

Step 2: Segment A LAE per exposure. \(\$23{,}000/200=\$115.\) Thus, its combined cost per exposure is \(\$770+\$115=\$885\). Equivalently, \((\$154{,}000+\$23{,}000)/200=\$177{,}000/200=\$885.\)

Step 3: Segment B indemnity per exposure. \(\$126{,}000/150=\$840.\)

Step 4: Segment B LAE per exposure. \(\$27{,}000/150=\$180.\) Thus, its combined cost per exposure is \(\$840+\$180=\$1{,}020\). Equivalently, \((\$126{,}000+\$27{,}000)/150=\$153{,}000/150=\$1{,}020.\)

Step 5: Compare the combined measures. The difference is \(\$1{,}020-\$885=\$135\) per exposure. Relative to Segment A, that is \(\$135/\$885=0.152542\ldots\), or \(15.25\%\) rounded to two decimal places.

Check and common mistake. Indemnity-only costs differ by \(\$840-\$770=\$70\) per exposure, but that is not the combined difference because Segment B also has $65 more LAE per exposure: \(\$180-\$115=\$65\), and \(\$70+\$65=\$135\). Omitting LAE would understate the difference in these hypothetical figures. The comparison is arithmetic, not proof that one segment should have a higher rate.

Common Classification Traps

  • Calling every claim-related dollar indemnity. A cost can arise because a claim exists without being compensation for the covered damage. Inspection and evaluation costs are LAE when incurred for claim handling.
  • Calling every insurer expense LAE. A sales commission or policy issuance cost is not LAE merely because the policy may later have a claim. Identify the activity that caused the expense.
  • Adding a component twice. If a reported total already includes LAE, adding a separate LAE figure again overstates claim-related cost.
  • Mixing measurement bases. Paid indemnity and incurred LAE, or amounts from different periods, may not form a meaningful total without a defined reason and consistent treatment.
  • Comparing ratios with different denominators. LAE divided by indemnity is not the same as LAE divided by indemnity plus LAE. Name the denominator when reporting a ratio.
Key takeaway: Classify a cost by its purpose. Indemnity compensates for covered loss; LAE pays for claim investigation, evaluation, and settlement; underwriting expenses support acquiring or administering insurance business. To measure claim-related cost consistently, add indemnity and LAE once, on a common basis.

Check Your Understanding

For each hypothetical situation, classify the amounts by purpose and calculate the requested measure. Round percentages to two decimal places where needed.

  1. A hypothetical equipment claim has indemnity payments of $6,700 and $1,550. It also has a $290 inspection fee, $760 for claim-related legal review, and $180 for claim-file handling. The policy record includes a $620 sales commission. Find indemnity, LAE, and total claim-related cost. (Answer: Indemnity = $8,250; LAE = $1,230; total claim-related cost = $9,480; exclude the $620 commission.)
  2. A hypothetical group of claims has $6,000 of indemnity, $210 of investigation fees, $390 of evaluation fees, and $900 in staff salary for work handling those claims. A separate $500 charge is for policy administration. Find LAE, total claim-related cost, and LAE as a percentage of indemnity. (Answer: LAE = $1,500; total claim-related cost = $7,500; LAE / indemnity = 25.00%; exclude the $500 policy-administration charge.)
  3. For two hypothetical segments, X has 50 exposures, $42,000 indemnity, and $8,000 LAE; Y has 40 exposures, $36,000 indemnity, and $12,000 LAE. Calculate combined claim-related cost per exposure for each and the percentage by which Y exceeds X. (Answer: X = $1,000 per exposure; Y = $1,200 per exposure; Y exceeds X by 20.00%.)
  4. A hypothetical report lists $28,000 indemnity, $3,500 LAE, and $2,100 in underwriting expenses. Calculate total claim-related cost, total of all three listed cost categories, and LAE as a percentage of indemnity. (Answer: Claim-related cost = $31,500; all three categories = $33,600; LAE / indemnity = 12.50%.)
  5. A hypothetical book has 100 exposures, $600,000 indemnity, $90,000 LAE, and $40,000 in sales commissions. Calculate claim-related cost per exposure and the LAE-to-indemnity ratio. State whether the commissions belong in claim-related cost. (Answer: Claim-related cost = $690,000, or $6,900 per exposure; LAE / indemnity = 15.00%; exclude the $40,000 commissions.)
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