Actuarial Notes

Underwriting

Study guides: Exam CP-321, Exam GH-101, Exam GH-201C, Exam GH-301, Exam GI-201, Exam ILA-101

Underwriting is an insurer's process of evaluating, selecting and classifying the risks offered to it — deciding whether to accept each one, on what terms and at what premium — so that the business actually written matches the assumptions built into the rates. It is the insurer's defence against adverse selection: pricing assumes an average risk in each class, and underwriting is what keeps the risks in the class average.

\frac{E[L_i]}{P_i} \leq \text{PLR}

P_i^{\text{req}} = \frac{E[L_i]}{\text{PLR}}

  • E[L_i] is the underwriter's estimate of expected losses for risk i, P_i the premium it would be written at, and \text{PLR} the permissible loss ratio — one minus the expense and profit provisions. A risk whose expected loss ratio at the offered price exceeds the PLR is declined, re-priced or written on different terms (a higher deductible, a sublimit, required risk control).
  • The P&C process (DISC-RM, GI-201) runs in six steps: evaluate the submission (physical, moral and morale hazards, COPE for property, loss history), develop alternatives, select one, set the premium, implement, and monitor — see Underwriting Process, and Underwriting Guidelines for the rules each decision applies. Results are measured by underwriting profit; changes in underwriting shift the mix of risks and distort loss development and trend.
  • By line, in DISC-RM: Workers Compensation Underwriting, General Liability Classification and Personal Auto Underwriting apply the process to particular coverages.
  • Life underwriting (ILA-101) classifies individual applicants by mortality: full medical, simplified issue, guaranteed issue and data-driven accelerated programs trade underwriting cost and speed against mortality slippage. Underwritten lives show select mortality, lower than ultimate, that wears off with duration.
  • Group health underwriting (GH-101, CP-321) looks at the group rather than the person: size, industry, participation and contribution rules, prior claims experience and its credibility, large claimants and pooling levels. Where law forbids health-status underwriting — the ACA individual and small group markets — risk adjustment (GH-301) transfers money between insurers for the risks underwriting can no longer price.

Accept, Debit or Decline a Commercial Account A commercial property account rates to a manual premium of \$80{,}000. After reviewing its COPE details and loss history, the underwriter estimates expected losses of \$58{,}000. The permissible loss ratio is 65\% and schedule rating allows debits up to 25\%. Should the account be written at manual, and if not, at what premium?

Answer

\begin{align*}
\text{ELR at manual} &= 58{,}000 / 80{,}000 \\
&= 72.5\% \\
P^{\text{req}} &= 58{,}000 / 0.65 \\
&= 89{,}231 \\
\text{Debit} &= 89{,}231 / 80{,}000 - 1 \\
&= 11.5\%
\end{align*}

At manual the account would run 7.5 points above the PLR. A schedule debit of 11.5\% — inside the 25\% limit — brings it to \$89{,}231. If the market will not bear that price, the alternatives are terms that reduce expected loss (a higher deductible, sprinklers as a condition) or declining it.

Is Full Underwriting Worth Its Cost? A life insurer sells \$250{,}000 ten-year term at standard rates assuming q = 0.002 a year. Full medical underwriting costs \$300 per policy. Without it, 5\% of the applicants it now places as standard would be impaired lives with q = 0.010. Ignoring lapses and changes in q over the term, and discounting at 4\% with claims at the start of each year, compare the mortality cost of dropping full underwriting with its cost.

Answer

\begin{align*}
q^{\text{pooled}} &= 0.95(0.002) + 0.05(0.010) \\
&= 0.0024 \\
\text{Extra claims a year} &= (0.0024 - 0.002)(250{,}000) \\
&= 100 \\
\ddot{a}_{\overline{10}|4\%} &= 8.4353 \\
\text{PV of slippage} &= 100 \times 8.4353 \\
&= 843.53
\end{align*}

Dropping full underwriting saves \$300 but adds about \$844 of expected claims per policy, so at this face amount full underwriting pays for itself. At small face amounts the slippage shrinks in proportion while the cost does not — which is why simplified issue and accelerated programs are offered below a face-amount limit.

How it appears on the exam

  • GH-101 and CP-321: written recommendations of strategies for pricing, underwriting and funding a case-specific risk — participation requirements, large-claim pooling, credibility on the group's own experience — usually built on a calculation from the case.
  • GH-301: how risk adjustment substitutes for underwriting where health-status rating is barred, and its use in underwriting and pricing decisions for Medicare, Medicaid and ACA products.
  • ILA-101: describing and assessing underwriting approaches (full, simplified, accelerated, guaranteed issue) against cost, speed and mortality slippage — written answers.
  • DISC-RM and GI-201: the steps of the underwriting process, underwriting authority, and line-specific considerations (premises and products liability, auto, workers compensation, umbrella).

Exam traps

  • Comparing expected losses with premium instead of with the PLR: a 72.5\% loss ratio is profitable only if expenses and profit need less than 27.5\%.
  • Computing the debit as (P^{\text{req}} - P)/P^{\text{req}}: that gives 10.3\%, not the 11.5\% that applied to manual reaches the required premium.
  • Expecting select mortality to last: an underwriting saving is largest in early durations and wears off, so a level saving over a long term overstates the value.
  • Describing ACA individual-market underwriting by health status: those products are guaranteed issue; selection is handled by risk adjustment and limited enrollment periods.