ULAE

Unallocated Loss Adjustment Expenses (ULAE)

Unallocated Loss Adjustment Expenses (ULAE) are expenses incurred in settling claims that cannot be associated with a specific individual claim.

Common Examples of ULAE

• Claims department salaries, employee benefits, and overhead.
• Rent, utilities, and maintenance for claims office space.
• Licensing fees for claims processing software and databases.

Because ULAE cannot be allocated directly to a claim, it is aggregated on a Calendar Year (CY) basis (the year the cash overhead expense is paid).

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Dollar-Based Techniques

Dollar-based techniques assume that ULAE costs are proportional to loss and ALAE dollars.

1. Classical Method

• Key Assumption: ULAE tracks loss dollars in timing and amount. (Note: This assumes a single $10,000 claim has the same ULAE as ten $1,000 claims, which is a major limitation).
• Ratio Calculation: $$W = \frac{\text{CY Paid ULAE}}{\text{CY Paid Loss \& ALAE}} \quad \longrightarrow \quad \text{Select } W^*$$
• Unpaid ULAE Projection (50/50 Rule): Assumes 50% of ULAE is spent when opening a claim, and the remaining 50% is spent when closing it. $$\text{Unpaid ULAE} = W^* \times \left[ \text{Pure IBNR} + 0.50 \times (\text{Case Reserves} + \text{IBNeR}) \right]$$
  • Pure IBNR: Unreported claims require 100% of ULAE (50% to open + 50% to close).
  • Case Reserves + IBNeR: Already-opened reported claims require 50% of ULAE (only to close).
• Limitations: Distorted if the insurer’s volume is growing/shrinking or for long-tailed lines where paid losses lag written premium.

2. Kittel Method

• Objective: Adjusts the Classical method’s denominator to reduce distortion in a growing/shrinking book.
• Ratio Calculation: $$W_{\text{Kittel}} = \frac{\text{CY Paid ULAE}}{\frac{1}{2} \left( \text{CY Paid Loss \& ALAE} + \text{CY Reported Loss \& ALAE} \right)}$$
• Application: Same unpaid formula as the Classical method.

3. Mango-Allen Method

• Objective: Stabilizes the denominator by using expected losses instead of actual paid or reported losses.
• Ratio Calculation: $$W_{\text{Mango-Allen}} = \frac{\text{CY Paid ULAE}}{E(\text{Loss \& ALAE})}$$

4. Generalized Method

• Concept: Formally splits ULAE into costs to Open (Report), Maintain, and Close claims.
  • $R$: Ultimate loss cost of claims Reported (opened) during the CY.
  • $P$: Losses Paid (maintained) during the CY.
  • $C$: Ultimate loss cost of claims Closed during the CY.
  • $U_1, U_2, U_3$: Selected percentages of ULAE spent on opening, maintaining, and closing ($U_1 + U_2 + U_3 = 100\%$).
• Base Calculation: $$B = U_1 R + U_2 P + U_3 C$$
• Ratio & Application: $$W = \frac{\text{CY Paid ULAE}}{B} \quad \longrightarrow \quad \text{Select } W^*$$ $$\text{Unpaid ULAE} = W^* \times (\text{Unpaid Losses})$$

[!TIP] Method Connection: Kittel is a special case of the Generalized Method where $U_1 = 50\%$, $U_2 = 0\%$, $U_3 = 50\%$, and closed losses equal paid losses ($C = P$).

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Count-Based Techniques

Count-based techniques address the limitations of dollar-based methods by tracking ULAE per claim count (treating ten $1,000 claims as ten times more expensive to manage than a single $10,000 claim).

• Methodology:
  1. Determine the average ULAE cost per claim transaction (e.g., cost to open a claim, cost to maintain a claim per year, cost to close a claim).
  2. Project the number of claims to be opened, maintained, and closed in each future calendar year using claim count triangles.
  3. Multiply the projected future claim counts by the selected transaction costs to estimate future ULAE payments: $$\text{Future Paid ULAE} = \sum (\text{Projected Counts} \times \text{Cost per Count})$$