Difference between revisions of "Formulas - Pricing"

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Line 13: Line 13:
 
! Ratio                || Formula          || Alternate Term/Formula <br> or Comment
 
! Ratio                || Formula          || Alternate Term/Formula <br> or Comment
 
|-
 
|-
|| Frequency          || counts / X  || counts-per-exposure
+
|| Frequency          || ''counts / X'' || counts-per-exposure
 
|-
 
|-
 
|| Severity            || L  / counts || dollars-per-count
 
|| Severity            || L  / counts || dollars-per-count

Revision as of 14:52, 6 September 2020

Refer Notation - Pricing for the list of symbols used in the pricing text. The link is also in the sidebar under Miscellaneous Battle Reports, but just as a quick reminder:

X = exposures (number of exposures), P = Premium (dollars), L = losses (dollars)
EP = Earned Premium (dollars), WP = Written Premium (dollars)

In the table below I also use:

F = Frequency, S = Severity, LR = Loss Ratio,
U/W as an abbreviation for Underwriting (so U/W is not a formula)
Ratio Formula Alternate Term/Formula
or Comment
Frequency counts / X counts-per-exposure
Severity L / counts dollars-per-count
Pure Premium L / X   =   F x S
Loss Ratio (LR) L / P P is usually EP (Earned Premium)
LAE Ratio LAE / L LAE includes ALAE and ULAE
Loss & LAE Ratio (L + LAE) / P   =   LR   x   (1 + LAE Ratio)
U/W Expense Ratio (UWER)1 (Comm + Other + TLF) / WP    +    General / EP uses both WP and EP
Operating Expense Ratio (OER) U/W Expense Ratio    +    LAE / EP monitors operational expenditures
Combined Operating Ratio (COR) LR    +    LAE / EP    +    U/W Expense Ratio primary measure of profitability
Retention Ratio ( # of policies renewed )   /   ( # of potential renewal policies ) measures loyalty
Close Ratio ( # of accepted quotes )   /   ( # of quotes ) measures product attractiveness

1 (Comm + Other + TLF)   =   Commissions & Brokerage   +   Other Acquisition Expenses   +   General Expenses