Salvage and Subrogation in Loss Measures

Why Recovery Classification Matters

An insurer may pay a claim and later receive money connected with that claim. A damaged vehicle, for example, may be sold for parts, or the insurer may recover some of its payment from a party responsible for the damage. These receipts reduce the insurer's ultimate cost, but they do not erase the original claim or the gross amount paid to the insured.

For ratemaking and claim analysis, the key is to identify what the recovery represents, when it was received or recognized, and whether the loss measure is gross or net of recoveries. Mixing these bases can distort comparisons, and subtracting an expected recovery that is already reflected in a case reserve can count it twice.

Definition: Salvage is value recovered from damaged property, such as proceeds from selling a damaged vehicle or equipment. Subrogation is recovery from a responsible third party after the insurer has paid a covered claim and obtains or exercises the right to pursue that party. A gross loss is measured before the specified salvage and subrogation offsets; a net loss is the corresponding loss after those offsets. The word “gross” here means gross of these recoveries, not necessarily gross of reinsurance or every other adjustment.

Paid Losses and Received Recoveries

Paid loss records amounts the insurer has paid on claims. When a salvage or subrogation receipt is collected, it can be recorded separately as a recovery and used to calculate loss net of recoveries. It is useful to retain both the gross paid amount and the recovery amount: the net measure answers a different question from either component alone.

\text{Net paid loss} = \text{Gross paid loss} - \text{Salvage received} - \text{Subrogation received}

This expression assumes the amounts refer to the same claims and measurement period, and that each recovery is being used as an offset to loss. It uses receipts actually collected by the valuation date. A recovery that is merely anticipated is not a receipt; if it is recognized for incurred-loss measurement, it must be handled separately.

Worked Example: Net Paid Loss With Two Recovery Types

A hypothetical insurer has paid $27,850 on a group of property claims. It has received $3,250 from selling damaged property and $6,400 from responsible third parties. Calculate net paid loss and check the result by reconciling the components.

Step 1: Identify the method. Use gross paid loss less salvage received and subrogation received. The problem gives actual receipts, so no estimate of future recoveries is needed.

Step 2: Subtract salvage. $27,850 - $3,250 = $24,600 of paid loss after salvage.

Step 3: Subtract subrogation. $24,600 - $6,400 = $18,200.

Check. The total recovery is $3,250 + $6,400 = $9,650, and $27,850 - $9,650 = $18,200. The net paid loss is therefore $18,200. This method avoids treating a recovery as if it changed the amount originally paid to claimants.

Incurred Losses and Expected Recoveries

Incurred loss combines amounts already paid with amounts held as case reserves for claims that remain open. A case reserve estimates the unpaid loss obligation on an open claim. For clarity, the formulas below begin with gross paid loss and gross case reserves, then show recovery amounts as separate offsets.

\text{Gross incurred loss} = \text{Gross paid loss} + \text{Gross case reserves}

If some recoveries have already been received, they reduce the net amount of loss. An additional recovery may be estimated for an open claim but not yet collected. When that estimate is separately recognized as a recoverable and has not already reduced the case reserve, it also reduces net incurred loss. The accounting or data convention matters: use either an explicitly gross case reserve and a separate recovery estimate, or a reserve already stated net of expected recoveries. Do not apply both treatments to the same estimate.

\text{Net incurred loss} = \text{Gross paid loss} + \text{Gross case reserves} - \text{Recoveries received} - \text{Recognized expected recoveries not yet received}

This formula assumes that each amount covers the same claims and valuation date, and that the gross case reserves have not already been reduced for the expected recoveries shown separately. It also assumes the estimated recoveries meet the insurer's recognition basis. If the task asks for paid loss only, subtract receipts, not future expected recoveries. If a claim file reports a net case reserve, do not subtract an expected recovery already included in that net amount.

Key distinction: A received recovery can reduce net paid loss and net incurred loss. A separately recognized expected recovery on an open claim can reduce net incurred loss, but it is not a cash receipt and does not reduce paid loss already recorded. Keep the gross amounts and recovery amounts identifiable when the analysis requires them.

Why the Incurred-Loss Formula Holds

The incurred amount represents loss already paid plus the remaining estimated obligation. To obtain an incurred measure net of recoveries, subtract recovery value that has already been collected and recognized recovery value still expected on open claims. The identity can also be seen by splitting net incurred into paid and outstanding components.

\begin{aligned} \text{Net paid loss} &= \text{Gross paid loss} - \text{Recoveries received}, \\ \text{Net outstanding loss} &= \text{Gross case reserves} - \text{Recognized expected recoveries not yet received}, \\ \text{Net incurred loss} &= \text{Net paid loss} + \text{Net outstanding loss} \\ &= \text{Gross paid loss} + \text{Gross case reserves} - \text{Recoveries received} - \text{Recognized expected recoveries not yet received}. \end{aligned}

The equality follows by adding the first two lines: the paid component and outstanding component together include all gross incurred loss, while the recovery offsets are divided according to whether they have been collected or are still expected. This is a measurement identity under the stated gross-reserve convention, not a claim that every expected recovery will be collected. If the estimate changes, net incurred loss changes even when gross paid amounts do not.

Worked Example: Net Incurred Loss With an Open Claim

For a hypothetical set of claims, an insurer reports $31,000 of gross paid loss and $12,000 of gross case reserves. It has received $1,500 of salvage and $3,000 of subrogation. On the open claims, it separately recognizes $2,500 of expected recoveries that have not been received and are not included in the gross case reserves. Calculate net paid loss and net incurred loss.

Step 1: Calculate gross incurred loss. $31,000 + $12,000 = $43,000.

Step 2: Add received recoveries. $1,500 + $3,000 = $4,500. Net paid loss is $31,000 - $4,500 = $26,500.

Step 3: Calculate net outstanding loss. Gross case reserves of $12,000 less the separately recognized $2,500 expected recovery equal $9,500.

Step 4: Add net paid and net outstanding loss. $26,500 + $9,500 = $36,000. Equivalently, $43,000 - $4,500 - $2,500 = $36,000. Thus net paid loss is $26,500 and net incurred loss is $36,000.

Check. Net incurred exceeds net paid by $9,500, exactly the net outstanding amount. This method avoids subtracting the expected recovery from paid loss, where it has not yet been received.

Changing Recovery Estimates and Valuation Dates

Loss measures are taken as of a valuation date. A recovery can move from expected to received between valuations, and an estimate can also be revised. That movement may affect the incurred measure even if the gross loss payments are unchanged. When reconciling periods, compare cumulative amounts at each valuation date and distinguish cash received from the current estimate of recoveries still outstanding.

Worked Example: Reconciling Two Valuation Dates

At the first valuation date, hypothetical claims have $12,000 of cumulative gross paid loss and $15,000 of gross case reserves. The insurer has received $1,000 of salvage and $2,000 of subrogation, and separately recognizes $4,000 of expected recoveries not yet received. At the next valuation date, cumulative gross paid loss is $22,000, gross case reserves are $3,000, total recoveries received are $5,000, and the remaining separately recognized expected recoveries are $1,000. Calculate net incurred loss at both dates and its change.

First valuation date. Gross incurred loss is $12,000 + $15,000 = $27,000. Received recoveries total $1,000 + $2,000 = $3,000. Net incurred loss is $27,000 - $3,000 - $4,000 = $20,000.

Next valuation date. Gross incurred loss is $22,000 + $3,000 = $25,000. Net incurred loss is $25,000 - $5,000 - $1,000 = $19,000.

Change and check. Net incurred loss decreases by $19,000 - $20,000 = -$1,000. At the first date, net paid loss is $12,000 - $3,000 = $9,000 and net outstanding loss is $15,000 - $4,000 = $11,000, totaling $20,000. At the next date, the corresponding amounts are $22,000 - $5,000 = $17,000 and $3,000 - $1,000 = $2,000, totaling $19,000. The change reflects the whole valuation picture, not just the $2,000 increase in gross paid loss.

Common Mistakes and Practical Checks

The most common error is to subtract an expected recovery twice: once because it is already reflected in a net case reserve, and again as a separate recovery offset. Another is to subtract an expected future recovery from paid loss, even though paid loss records payments and the recovery has not been collected. A third is to treat recovery proceeds as a reduction in claim count. Recoveries change the amount of loss measured, not whether a claim occurred.

Common exam trap: Suppose gross paid loss is $20,000, gross case reserves are $8,000, receipts are $2,000, and a separately reported expected recovery is $1,000. The correct net incurred calculation is $20,000 + $8,000 - $2,000 - $1,000 = $25,000. A tempting but wrong calculation is $20,000 + ($8,000 - $1,000) - $2,000 - $1,000 = $24,000: it deducts the same expected recovery twice. If the $8,000 reserve was already net of the $1,000 expected recovery, the correct calculation would instead be $20,000 + $8,000 - $2,000 = $26,000.

Before calculating, check the basis of every input: gross or net reserve, cumulative or period-only paid amount, recovery received or estimated, and whether each amount relates to the same claims and valuation date. Preserve gross loss and recovery components when reporting them separately. For a net measure, apply the offsets once and show the reconciliation.

Check Your Understanding

For each hypothetical situation, identify the relevant measure and keep received recoveries distinct from expected recoveries.

An insurer has $27,850 of gross paid loss, $3,250 of salvage receipts, and $6,400 of subrogation receipts. What is net paid loss? (Answer: $18,200.)
A claim group has $14,600 of gross paid loss, $9,400 of gross case reserves, $2,100 of received recoveries, and $1,900 of separately recognized expected recoveries not included in reserves. What is net incurred loss? (Answer: $20,000.)
A claims analyst is reporting paid loss only. Gross paid loss is $8,500, and $500 of salvage has been received; an additional $1,200 subrogation recovery is only expected. What is net paid loss as of the valuation date? (Answer: $8,000.)
A portfolio has $42,000 of gross paid loss and $18,000 of gross case reserves. It has received $2,500 of salvage and $4,500 of subrogation, and has a separate $3,000 expected recovery not included in reserves. Calculate net paid and net incurred loss. (Answer: Net paid loss is $35,000; net incurred loss is $50,000.)
At one valuation date, gross paid loss is $12,000, gross case reserves are $15,000, received recoveries are $3,000, and separately recognized expected recoveries are $4,000. At the next date, the corresponding values are $22,000, $3,000, $5,000, and $1,000. What is the change in net incurred loss? (Answer: It decreases by $1,000, from $20,000 to $19,000.)

What You'll Learn