Motor Third-Party Reserving: Which Number Do You Sign?
Tristar General Insurance writes motor third-party bodily-injury business, with gross written premium of ₹1,850 crore and carried outstanding claims reserves of ₹3,200 crore at the latest year-end. You are the appointed actuary. The paid-claims development triangle now shows successive three-year development factors of 1.62, 1.55 and then 2.10 for the most recent accident year - a sharp deterioration after four stable years. Tribunal backlogs in two large states have slowed settlement rates by roughly 18%, and the legal team reports average award inflation of 9–11% per annum, well above the 6.5% discount rate used in the last valuation. A basic chain-ladder estimate for IBNR is ₹4,100 crore; a Bornhuetter-Ferguson approach using expected loss ratios gives ₹4,650 crore. A 30% quota share protects the portfolio, but the reinsurer has queried two large claims and recoveries of ₹140 crore remain unconfirmed. The board expects reserves to be signed within three weeks.
1. Which IBNR estimate would you sign, and what adjustments would you make to the chain-ladder before deciding?
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I would not sign either figure unadjusted - the 13% gap between methods tells me the method, not the data, is driving the answer.
- Diagnose the 2.10 factor. A jump that size usually reflects either fewer closures (tribunal backlog inflating case reserves and therefore development) or genuine award inflation. Split the triangle into large claims (above ₹1 crore), attritional claims, and settlement counts versus average size. If deterioration comes from case-reserve strengthening on open claims rather than paid amounts, chain-ladder over-reacts; if average paid awards are rising 10% on a long tail, chain-ladder under-reacts because it is anchored on historical inflation.
- Adjust for inflation explicitly. Gross up historical payments to current award levels using 9–11%, re-project, and add a tail loading beyond the observed period - motor TP can run 8–12 years.
- Test the BF assumption. BF is more stable but depends on the expected loss ratio; check whether the latest year reflects the new normal or is distorted by reserve strengthening.
- Present a range. Central estimate towards the prudent end (roughly ₹4,400–4,650 crore), disclosing method, tail and sensitivity to ±100bps of inflation and to settlement speed.
2. How should discounting and the disputed reinsurance recoveries be reflected in the balance sheet and solvency position?
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Discounting. Show the undiscounted reserve as the base and disclose any discounting benefit separately. A 6.5% discount rate is only defensible if claim inflation is below it; with awards inflating at 9–11%, the real discount is negative and the credit flatters the balance sheet. Quantify sensitivity to the discount rate rather than presenting a single discounted figure as the truth.
Reinsurance recoveries of ₹140 crore. Do not net these against gross reserves until recoverability is established. Treat them as a separate asset exposed to credit and dispute risk. Steps: obtain the treaty wording on notification, claims control and aggregation; get the reinsurer's objection in writing; provide against the disputed portion (50–100% depending on the strength of the wording); and check whether the dispute is a pattern affecting other claims or years.
Solvency impact. Gross up reserves, deduct the doubtful recovery from available capital, and re-run the ratio. If strengthening is, say, ₹350 crore and the recoverable asset is written down by ₹140 crore, a ratio that looked comfortable can fall below the 1.50 control level before any new business is written. The board needs that arithmetic before it approves anything else - and it needs it before the auditor asks.
3. What would you put to the board and the auditor, and how would you respond if the board asked you to release reserves to meet a profit target?
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Deliver three things to the board and auditor: a reserve opinion with a best estimate and a range; the methods used and the data limitations (settlement slowdown, award inflation, unconfirmed recoveries); and the specific uncertainties with their quantified sensitivities. Record the peer review of the triangle and of the alternative methods.
If asked to release reserves to hit a profit target:
- Ask for the rationale in writing - which emergence pattern or data supports the release? Usually there is none, only a target.
- Explain that a release unsupported by the data is a misstatement, not a judgement call.
- Offer legitimate levers: a defensible alternative method, settlement of the disputed recoveries, expense or commission timing.
- Refuse to certify an unsupported number. Under the code of conduct, commercial pressure cannot override professional judgement; your opinion and reputation are the firm's evidence of integrity.
- Escalate: inform the Audit Committee, record a contemporaneous note of the request, and if the pressure persists, consider qualifying the actuarial opinion or resigning. Both are credible last-resort signals and far cheaper than a restatement.
Keep the peer reviewer informed throughout - a second opinion on record protects both the actuary and the company.