D.1. Individual risk rating Flashcards
Why individual risk rating is more common in commercial lines
Exposure to loss varies from risk to risk
Classification plans are not refined (limited data)
Individual insureds can be large enough to have credibility
ISO CGL Experience Rating Mod Formula
Mod = Z x (AER - EER) / EER AER = Actual Experience Ratio EER = Expected Experience Ratio (ultimate losses)
ISO Actual Experience Ratio (AER) components
Numerator: actual basic limits losses and ALAE to date limited by MSL + expected development
Denominator: Expected ultimate basic limits losses and ALAE NOT limited by MSL
ISO Expected Experience Ratio (EER) components
Numerator: Expected ultimate basic limits losses and ALAE limited by MSL
Denominator: Expected ultimate basic limits losses and ALAE NOT limited by MSL
If there is no MSL, then EER = 1
Steps to calculate ISO CGL EMod
- BLEL = ELR times annual premium
- Detrend BLEL by year to get CSLC
- Sum CSLC across all years and sublines
- Expected development = CSLC for each year times EER times % unreported
- Sum up expected developments
- Cap each INDIVIDUAL loss at basic limits, then cap basic limits losses and ALAE by MSL. Sum the result.
- Calculate Mod
NCCI EMod formulas (2 ways)
Mod = [ZpAp + (1-Zp)Ep + ZeAe + (1-Ze)Ee] / (Ep + Ee) Mod = [Ap + WAe + (1-W)Ee + B] / E + B
Zp = E / (E + B), Ze = WZp Ep = Expected Primary Losses Ae = Actual Excess Losses W = weighting value B = ballast value
NCCI Experience Rating Expected Loss components calculations
Ei = Payroll/100 x ELRi E = sum of Ei Ep = sum of Di x Ei Ee = E - Ep Di = D-ratio (expected primary portion of expected total losses)
When schedule rating can be used
To reflect individual risk characteristics not already reflected in rate calculation and not already captured in experience rating
Steps to determine loss-rated composite rate
- Calculate trended ultimate L+ALAE by coverage by year for each of the last 5 completed years of experience and sum
- Select composite exposure base and measure exposures for each year (trend if inflation-sensitive)
- Calculate adjusted premium using step 1 divided by given ELR
- Calculate composite rate by dividing step 2 by step 3
Unique considerations in pricing deductible policies
Claims handling (who is responsible for claims below deductible) Application of deductible (losses only or including ALAE) Deductible processing (cost to bill insured for deductible) Risk margin (higher risk, higher profit margin)
Retrospective rating main formulas
R = (b + CA)T R = retro premium, C = loss conversion factor, A = reported loss, T is tax multiplier, b is basic premium
b = e - (C-1)E[A] + CI e = total expenses I = net insurance charge