Actuarium

Formula sheets

Every formula on the syllabus, rendered natively, with the traps examiners set for each. Print one per exam and keep it by your desk.

Exam 6-US Regulation & Financial Reporting (United States)

CAS

Schedule P one-year development   =IncurredtIncurredt1\;= \text{Incurred}_{t}-\text{Incurred}_{t-1} for prior AYs (Part 2)

RBC ratio   Total Adjusted CapitalAuthorized Control Level RBC\;\dfrac{\text{Total Adjusted Capital}}{\text{Authorized Control Level RBC}}: >200%>200\% no action; 150–200% Company Action; 100–150% Regulatory Action; 70–100% Authorized Control; <70%<70\% Mandatory Control.

IRIS 11–13 one-year and two-year reserve development to prior surplus (unusual if >20%>20\%); estimated current reserve deficiency to surplus (>25%>25\%).

Statutory vs GAAP   \; SAP expenses acquisition costs immediately (no DAC), non-admits certain assets, and discounts few reserves.

Premium deficiency reserve   PDR=max ⁣(0,  expected losses+expensesUPRexpected investment income)\;PDR=\max\!\left(0,\;\text{expected losses}+\text{expenses}-UPR-\text{expected investment income}\right)

Traps to remember

  • Confusing accident-year and calendar-year figures when reading Schedule P.

  • Forgetting that Schedule P is net of salvage/subrogation and includes DCC but not A&O in Parts 2–4.

  • Mislabeling opinion types (reasonable, redundant, inadequate, qualified, no opinion).

  • Treating the SAO and the Actuarial Report as the same document.

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