Applying Plan-Specified Loss Exclusions and Credits

Why Plan-Specified Adjustments Matter

Experience modifications compare eligible actual losses with expected losses, with ballast moderating the effect of the observed experience. A rating plan may specify that some actual losses are not counted, or that recoveries and other credits reduce a claim before it enters the calculation. The resulting modification depends on following those plan terms precisely: a loss excluded from the numerator is not automatically removed from expected losses, and a recovery is not automatically allowed to offset any claim it happens to follow.

This tutorial focuses on recalculating actual losses when the plan explicitly states an exclusion or credit. Assume all amounts are already on the plan’s required valuation and experience-period basis. Unless a problem says otherwise, there are no additional trend, development, or exposure adjustments to make.

Definition: Eligible actual losses, denoted $A$, are the actual losses included after applying the exclusions, recoveries, and credits explicitly required by the rating plan. A specified exclusion removes the stated loss or loss portion from $A$. A specified credit reduces $A$ by the amount and in the manner the plan defines.

For the examples, use the plan formula

M=\frac{A+B}{E+B},

where $M$ is the experience modification, $E$ is expected losses, and $B$ is the plan’s ballast. The formula and values of $E$ and $B$ are given as plan inputs; the task here is to determine the correct $A$. In particular, do not change $E$ just because actual losses have been excluded or credited unless the plan explicitly requires an adjustment to expected losses too.

A Reliable Adjustment Sequence

The order matters whenever the plan defines a sequence, such as limiting a recovery to the amount of its associated claim before applying a category exclusion. First identify the applicable plan provision, then apply it to the loss or claim it names, and only then aggregate the eligible amounts. Keep a claim-by-claim record so that credits are not applied twice or transferred to a different claim.

Read the plan wording.
Identify the loss categories excluded, the recoveries or credits allowed, any per-claim restrictions, and the specified order of operations.

Adjust each affected claim.
Apply only the exclusions and credits that apply to that claim. Respect any stated cap, floor, or sequence.

Aggregate eligible losses.
Sum the adjusted eligible claim amounts to obtain $A$. Keep wholly excluded claims out of this total.

Recalculate the modification.
Insert $A$ into the stated formula, retaining $E$ and $B$ as given unless the plan explicitly changes them.

A compact representation is $A=\sum_j a_j$, where $a_j$ is the amount from claim $j$ that remains eligible after the plan’s rules are applied. A wholly excluded claim has $a_j=0$. A partially credited claim contributes its eligible remainder, not its original gross amount. This representation is bookkeeping, not a universal rule for how every plan defines a credit; the plan wording controls.

Worked Calculations

Worked Example: Excluding a Category and Applying a Recovery

A hypothetical plan uses $M=(A+B)/(E+B)$. It excludes flood claims from actual losses and allows a recovery to reduce only the claim that generated it. During the experience period, eligible bodily-injury losses are $12,400 and eligible property losses are $31,000. A $4,000 recovery is associated with the property losses. A separate flood claim is $9,600. The plan gives $E=\$42,000$ and $B=\$8,000$. Calculate $M$. All amounts are already on the plan basis; no probability or interest assumptions are needed.

Method. Adjust the eligible property claim for its recovery, exclude the flood claim, aggregate the remaining losses, and then apply the stated modification formula.

The bodily-injury losses are eligible and have no stated adjustment, so they contribute $12,400. The adjusted property loss is

\$31{,}000-\$4{,}000=\$27{,}000.

The flood loss is excluded, so it contributes $0. Therefore,

A=\$12{,}400+\$27{,}000+\$0=\$39{,}400.

Now calculate the numerator and denominator:

A+B=\$39{,}400+\$8{,}000=\$47{,}400,

E+B=\$42{,}000+\$8{,}000=\$50{,}000.

Thus

M=\frac{\$47{,}400}{\$50{,}000}=0.948.

The modification is 0.948. As a check, the excluded $9,600 flood claim does not appear in $A$, and the recovery reduces the associated property loss by exactly $4,000. The common mistake this method avoids is including an excluded category merely because it is a recorded claim.

Worked Example: Capping Recoveries at Their Associated Claims

A hypothetical plan excludes claims designated as catastrophe losses. For each other claim, it subtracts recoveries associated with that claim, but the recovery credited against a claim cannot exceed that claim’s gross loss. The plan uses $M=(A+B)/(E+B)$, with $E=\$24,000$ and $B=\$6,000$. Eligible gross claims are $11,000, $17,500, and $6,500. The first claim has a $13,000 recovery; the second has a $4,500 recovery. A separate catastrophe claim is $26,000. Find $A$ and $M$.

Method. Apply the recovery cap claim by claim, exclude the catastrophe claim, and sum the remaining amounts. The excess part of a recovery cannot be carried over to reduce another claim under this plan.

For the first eligible claim, the recovery is $13,000, but the claim is only $11,000. Its credited recovery is therefore capped at $11,000, leaving

\$11{,}000-\min(\$13{,}000,\$11{,}000)=\$0.

For the second eligible claim, the recovery is below the claim amount, so its adjusted value is

\$17{,}500-\$4{,}500=\$13{,}000.

The third eligible claim has no stated recovery and contributes $6,500. The catastrophe claim is excluded and contributes $0. Thus

A=\$0+\$13{,}000+\$6{,}500+\$0=\$19{,}500.

The numerator is $\$19,500+\$6,000=\$25,500$, and the denominator is $\$24,000+\$6,000=\$30,000$. Therefore,

M=\frac{\$25{,}500}{\$30{,}000}=0.850.

The result is $A=\$19,500$ and $M=0.850$. As a check, $A$ cannot be negative for any of these claims under the stated cap, and the excluded catastrophe claim is absent. A tempting but incorrect calculation is to subtract both recoveries in full from all eligible claims: $\$11,000+\$17,500+\$6,500-\$13,000-\$4,500=\$17,500$. That incorrectly uses the first claim’s extra $2,000 recovery to offset a different claim. The claim-specific cap gives the correct $A=\$19,500$.

Worked Example: Applying a Percentage Credit With a Per-Claim Maximum

A hypothetical plan gives each eligible weather claim a credit equal to 25% of its amount after associated recoveries, subject to a maximum credit of $3,000 per claim. Other eligible claims receive no such credit. The plan excludes no claims in this example. Eligible weather claims are $12,000 with a $2,000 recovery and $8,000 with no recovery. An eligible non-weather claim is $14,000 with a $1,000 recovery. Use $M=(A+B)/(E+B)$, with $E=\$30,000$ and $B=\$5,000$. Calculate the adjusted actual losses and modification.

Method. First reduce each claim by its associated recovery. For each weather claim, calculate 25% of that remainder and apply the $3,000 credit maximum. The credit is not applied to the non-weather claim.

The first weather claim after recovery is $\$12,000-\$2,000=\$10,000$. Its tentative credit is $0.25\times \$10,000=\$2,500$, which is below the $3,000 maximum. It contributes

\$10{,}000-\$2{,}500=\$7{,}500.

The second weather claim remains $8,000 after recovery because it has none. Its tentative credit is $0.25\times \$8,000=\$2,000$, also below the maximum. It contributes

\$8{,}000-\$2{,}000=\$6{,}000.

The non-weather claim is reduced by its recovery but receives no weather credit, so it contributes $\$14,000-\$1,000=\$13,000$. Therefore,

A=\$7{,}500+\$6{,}000+\$13{,}000=\$26{,}500.

Then $A+B=\$26,500+\$5,000=\$31,500$, and $E+B=\$30,000+\$5,000=\$35,000$. The modification is

M=\frac{\$31{,}500}{\$35{,}000}=0.900.

The answer is $A=\$26,500$ and $M=0.900$. The check is that both weather credits are below the stated per-claim maximum, while the non-weather claim receives only its recovery adjustment. The method avoids applying the percentage credit to the original gross weather loss before subtracting the recovery.

Why the Adjustment Changes the Modification

For fixed $E$ and $B$, the formula can be rewritten to show how it blends the actual-loss ratio with a value of 1. Assume $E>0$, $B\geq 0$, and $E+B>0$. Starting with the plan formula,

M=\frac{A+B}{E+B} =\frac{E}{E+B}\frac{A}{E}+\frac{B}{E+B}\cdot 1.

To verify the equality, combine the terms on the right:

\frac{E}{E+B}\frac{A}{E}+\frac{B}{E+B} =\frac{A}{E+B}+\frac{B}{E+B} =\frac{A+B}{E+B}.

Thus the modification is a weighted average of $A/E$ and 1, with weights $E/(E+B)$ and $B/(E+B)$. A plan-defined exclusion or credit that lowers $A$, while leaving $E$ and $B$ unchanged, lowers $M$ by

\Delta M=\frac{\Delta A}{E+B},

where $\Delta A$ is the change in eligible actual losses. For an exclusion or credit, $\Delta A$ is negative. This sensitivity statement applies only when $E$ and $B$ stay fixed under the plan. If the plan also recalculates either input, calculate the new modification using all revised inputs rather than this one-input change.

Common Mistakes and Practical Checks

Changing expected losses without authority. If the plan says to exclude a category from actual losses only, remove it from $A$, not $E$. Recalculate $E$ only when the plan explicitly defines that adjustment.
Subtracting a recovery from the wrong claim. A recovery’s treatment is governed by the plan. If it is claim-specific or capped, do not use any excess to offset other losses.
Applying a credit twice. Write the sequence clearly. If a credit is based on the post-recovery amount, do not also deduct the recovery a second time after applying the credit.
Treating an exclusion as a credit. A wholly excluded claim contributes zero under the stated rule; it is not included in the aggregate and then credited by an unrelated amount.
Replacing the formula’s denominator. In the stated formula, the denominator is $E+B$. It is not $A+B$, and it does not become $E$ merely because actual losses were adjusted.

A useful final audit is to list every claim, show its original amount, identify its applicable plan treatment, and record the amount that enters $A$. Then recompute the numerator and denominator separately. This makes the arithmetic traceable and reveals whether an exclusion, recovery, or credit was applied to the correct item.

Key takeaway: Plan wording determines which losses and credits affect eligible actual losses. Apply each specified adjustment to the correct claim, aggregate the adjusted eligible amounts, and change expected losses or ballast only if the plan explicitly says to do so.

Check Your Understanding

For each problem, follow the plan wording exactly. Amounts are in dollars and are already on the required experience-period basis.

A plan uses $M=(A+B)/(E+B)$, excludes one $5,000 claim, and allows a $1,000 recovery against a separate eligible $14,000 claim. Another eligible claim is $8,000. If $E=\$25,000$ and $B=\$5,000$, find $A$ and $M$. (Answer: $A=\$21,000$, $M=0.8667$)
A plan excludes catastrophe losses and caps each recovery at its associated eligible claim. Eligible claims are $9,000 with a $1,000 recovery and $19,000 with a $2,000 recovery; a $12,000 catastrophe claim is excluded. If $E=\$28,000$ and $B=\$7,000$, calculate $A$ and $M$. (Answer: $A=\$25,000$, $M=0.9143$)
A plan excludes a $10,800 claim. It allows a $3,200 recovery on an eligible $15,200 claim; another eligible claim is $6,400. If $E=\$20,000$, $B=\$4,000$, and $M=(A+B)/(E+B)$, calculate $A$ and $M$. (Answer: $A=\$18,400$, $M=0.9333$)
A plan gives eligible weather claims a 20% credit after recoveries, capped at $2,000 per claim, and gives no such credit to other claims. Eligible weather claims are $10,000 with no recovery and $22,000 with a $2,000 recovery. A separate eligible non-weather claim is $7,000 with a $1,000 recovery. If $E=\$32,000$, $B=\$8,000$, and $M=(A+B)/(E+B)$, calculate the adjusted amount for each claim and $M$. (Answer: adjusted claims are $8,000, $18,000, and $6,000; $A=\$32,000$, $M=1.0000$)
A plan excludes a $16,000 claim. It credits a $2,500 recovery against an eligible $20,000 claim, and credits $1,500 against another eligible $9,000 claim. No other adjustment applies. With $E=\$34,000$, $B=\$6,000$, and $M=(A+B)/(E+B)$, calculate the modification and explain which losses enter $A$. (Answer: $A=\$25,000$, $M=0.7750$; the adjusted eligible claims are $17,500 and $7,500, and the excluded claim contributes zero.)

What You'll Learn