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Enterprise risk management and solvency under IRDAI

Actuarial Science (B.Sc) · General insurance and risk · free study notes for exams, placements and interviews

In short

Enterprise risk management (ERM) is the single, board-owned framework by which an insurer identifies, measures, controls and monitors *all* its risks together - underwriting, market, credit, liquidity, operational, strategic - instead of department by department. Solvency is the quantitative outcome of that framework: enough free capital in excess of liabilities to survive adverse experience and still pay claims. In India both are legally compelled: section 64VA of the Insurance Act, 1938 requires every insurer to maintain an excess of assets over liabilities, and IRDAI prescribes a control level of solvency of 1.5 times the required solvency margin, computed and reported quarterly. The topic is examined in Institute of Actuaries of India papers on general insurance and ERM (and the IFoA SP7/SA3 and CERA syllabi), in university B.Sc Actuarial Science and insurance papers, and is a standard interview area for actuarial, risk and finance roles at GIC Re, New India Assurance, ICICI Lombard, Bajaj Allianz, HDFC ERGO, Star Health, Tata AIG and at consultancies and reinsurance brokers.

Explained

The risk universe of a general insurer

The ERM framework and governance under IRDAI

The ERM cycle, step by step

  1. Identify - risk workshops, loss-event database, scenario brainstorming, emerging-risk scanning; output is the risk register (risk, owner, cause, control, inherent and residual rating).
  2. Assess and measure - likelihood × impact scoring for a heat map; stochastic models (loss distributions, Nat-Cat vendor models), VaR and TVaR for quantifiable risks; scenario and stress tests for the rest.
  3. Respond - the four T's: Treat (controls, underwriting rules), Transfer (reinsurance, hedging, insurance, outsourcing), Terminate (stop writing the line), Tolerate (accept and hold capital).
  4. Monitor - key risk indicators (KRIs): solvency ratio, claims ratio by segment, reserve development triangles, lapse/renewal ratio, large-loss count, grievance ratio, investment limit breaches.
  5. Report - dashboards to the Risk Management Committee and board; quarterly solvency returns and annual filings to IRDAI; public disclosures in the annual report.
  6. Own Risk and Solvency Assessment (ORSA) - the insurer's own forward-looking view of all material risks and the capital needed over its business plan horizon, independent of the regulatory formula. It is the ICP 16/Solvency II Pillar 2 centrepiece; Indian insurers perform ORSA-type self-assessment and stress testing, and a formal ORSA is expected to become explicit as India moves to risk-based capital.
  7. Stress vs scenario vs reverse stress testing - a stress moves one variable (claims +20%); a scenario is a coherent multi-variable story (cyclone plus equity fall plus reinsurer default); a reverse stress test asks what event would break the firm.

Statutory solvency under the Insurance Act and IRDAI

Factor-based versus risk-based capital

Capital, risk-mitigation and the regulatory levers

Advantages, limitations and comparisons

Key points

Formulas and examples

Solvency Ratio = ASM / RSM. Control level = 1.5. Dimensionless (often quoted as a %).
ASM = Value of admissible assets − Value of liabilities (policy + other), in ₹ crore.
RSM-1 (premium basis) = 0.20 × Σ over segments i of max( GWP_i × A_i , NWP_i )
RSM-2 (claims basis) = 0.30 × Σ over segments i of max( GIC_i × B_i , NIC_i )
RSM = max(RSM-1, RSM-2), subject to the prescribed minimum.

GWP/NWP = gross/net written premium; GIC/NIC = gross/net incurred claims (₹ crore); A_i, B_i = prescribed segment factors between 0 and 1 (the reinsurance-credit floor; they differ by line of business - take the current values from the regulations, do not assume one number for all lines).

Capital injection needed = 1.5 × RSM − ASM (if positive), ₹ crore.
Unexpired Risk Reserve (statutory basis) = 50% of net premium for fire and miscellaneous business, 100% for marine hull.
VaR at level p: VaR_p = inf{ x : P(L ≤ x) ≥ p }. For L ~ Normal(μ, σ): VaR_p = μ + z_p σ.
TVaR_p = E[L | L > VaR_p]. For the Normal: TVaR_p = μ + σ · φ(z_p)/(1 − p), φ = standard normal density.
Economic capital = Risk measure of loss at chosen level − Expected loss (₹ crore).
Aggregate capital with a correlation matrix: SCR = √( Σ_i Σ_j ρ_ij · C_i · C_j ), C_i = stand-alone capital for risk i.
Combined ratio = (incurred claims + expenses of management) / net earned premium; above 100% means an underwriting loss, funded by investment income.

Example 1 - segment-wise RSM for a general insurer (illustrative factors A and B; amounts in ₹ crore)

SegmentGWPAGWP×ANWPmax → RSM-1 at 20%GICBGIC×BNICmax → RSM-2 at 30%
Fire2000.50100110110 → 22.001200.50607070 → 21.00
Marine cargo500.60302830 → 6.00300.60181618 → 5.40
Motor6000.85510540540 → 108.005000.85425450450 → 135.00
Health3000.85255240255 → 51.002500.85212.5200212.5 → 63.75
Total187.00225.15

Example 2 - solvency ratio and the capital gap. The same insurer holds admissible assets of ₹1,450 crore against total liabilities of ₹1,150 crore.

Example 3 - why heavy reinsurance cannot zero out capital. Fire GWP ₹200 crore, 80% ceded, so NWP = ₹40 crore, factor A = 0.50.

Example 4 - economic capital from a loss distribution. Annual aggregate claims are modelled as Normal with mean ₹500 crore and standard deviation ₹120 crore (z at 99.5% = 2.576; φ(2.576) = 0.01447).

Example 5 - diversification benefit. Stand-alone capital: insurance risk ₹100 crore, market risk ₹80 crore, correlation 0.5.

Where it is used

Interview questions

Common mistakes

Related topics

Risk theory and loss distributions · Credibility theory and general insurance pricing · Insurance basics · Reinsurance and catastrophe modelling · Reserving and IBNR triangles · Asset-liability management and investment regulation

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