Actuarial Notes

Rules-Based Regulation

Study guide: Exam 6C

Rules-Based Regulation prescribes how a regulated firm must comply — specific formulas, factors, limits and procedures — and judges compliance by whether the rules were followed, rather than by whether a stated outcome was achieved. In solvency regulation it takes the form of prescribed capital formulas, fixed thresholds and eligibility rules; its counterpart is Principles-Based Regulation.

\text{Required capital} = \sum_i f_i \times E_i

  • The factor formula. E_i is an exposure measure (claim liabilities or premium by class of business, asset values by type and credit rating) and f_i a factor fixed by the regulator for every firm alike. The MCT's risk margins are built this way, as are the U.S. RBC formula and the old EU Solvency I margin, which was a fixed percentage of premiums or claims.
  • Canadian rules-based elements: the MCT's prescribed factors, the 1.5 multiplier that turns Capital Required into the Base Solvency Buffer, the 100\% minimum and 150\% supervisory target, the Earthquake Exposure Risk Margin calculation, and the registration and collateral rules that decide whether ceded liabilities earn capital credit.
  • Advantages: objective and comparable across insurers; transparent and predictable; cheap to administer and to audit; enforceable, because a breach is a fact rather than a judgement; and resistant to inconsistency between supervisors.
  • Disadvantages: one size fits no one exactly; a risk the formula omits — concentration, climate, reserve quality — attracts no capital; firms can satisfy the letter while defeating the purpose (regulatory arbitrage); rules lag product innovation; and compliance can replace risk management as the goal.
  • Canada combines both deliberately. The rules-based MCT supplies a comparable floor; ORSA, the internal target and FCT ask the principles-based question of whether that floor is enough for this insurer. Solvency II does the same with its standard formula, approved internal models and own-risk assessment.

Same Formula, Different Risk A regulator's formula (factors illustrative) charges 15\% of net claim liabilities and 10\% of net written premium. Insurers A and B each carry \$400 million of claim liabilities and write \$300 million of premium. A's liabilities are spread over 2{,}000 commercial accounts; 40\% of B's arise from one industrial client, and B's reinsurance is placed with a single reinsurer. Compute the requirement and evaluate it.

Answer

\begin{align*}
\text{Required} &= 0.15 \times 400 + 0.10 \times 300 \\
&= 60 + 30 \\
&= \$90\text{M}
\end{align*}

Both insurers need \$90 million. The rule is doing its job — the figure is objective and comparable — but it cannot see that B's losses depend on one account and its recoveries on one counterparty. B's true capital need is higher.

The gap is closed by the principles-based layer: B's ORSA should identify the concentration and set an internal target well above A's, its FCT should include the failure of that client or reinsurer as an adverse scenario, and OSFI can challenge a target that ignores it. The rule sets the floor; the principles decide how far above it this insurer must stand.

Gaming a Rating Bucket A capital formula applies the same credit-risk factor to every bond within a rating category. An insurer moves \$200 million of bonds from the top of the BBB category (yield 5.0\%) to the bottom (yield 5.6\%). What happens to income, capital required and risk?

Answer

\begin{align*}
\Delta\,\text{Income} &= 200 \times (0.056 - 0.050) \\
&= \$1.2\text{M per year}
\end{align*}

Capital required is unchanged — the factor depends only on the category — while default risk has risen, and one further downgrade drops the whole block into a category with a much larger charge, a cliff the formula did not price. The insurer has complied with every rule and taken more risk than the rule assumed.

This is the characteristic weakness of rules-based regulation: it rewards optimising to the rule. The remedies are principles-based — risk appetite limits, ORSA, and supervisory judgement about investment strategy — which is why no modern solvency regime relies on the formula alone.