Fair Value Risk Margin for an Assumed Reinsurance Portfolio
An insurer is valuing a portfolio of assumed proportional reinsurance treaties for a fair-value disclosure. The expected present value of future claim payments is $240M using a risk-free curve. The portfolio's projected capital requirement is $60M at inception, declining to $10M by the end of year 5. The company's cost of capital is 8%, and the board uses a 6% risk-free rate for discounting. Management proposes a risk margin equal to 6% of the present value of expected claims, citing peer disclosures. The valuation actuary notes that the portfolio has significant catastrophe exposure and that a diversified portfolio within the company could justify a lower margin. The chief risk officer argues that diversification benefits should not be reflected because the portfolio is being sold to a third party. The CFO wants a margin that is defensible to auditors and consistent with fair value.
1. Explain whether the proposed 6%-of-present-value risk margin is conceptually appropriate and how a cost-of-capital margin would differ.
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A 6%-of-present-value margin is a rule of thumb, not a risk-based estimate. It does not respond to the portfolio's catastrophe exposure, capital profile, or run-off pattern. A cost-of-capital margin sums required capital times the cost-of-capital spread over the risk-free rate, discounted at the risk-free rate. Using the given capital path of roughly $60M, $50M, $40M, $30M, $20M, and $10M, an 8% cost of capital and 6% risk-free rate give a spread of 2%. Discounted at 6%, the margin is approximately $3.6M, far below 6% x $240M = $14.4M. That difference shows why the rule of thumb is not defensible without testing the capital and cost-of-capital assumptions. The correct margin depends on non-hedgeable risk and the capital needed to support it, not on premium or claim present value alone.
2. Address the CRO's diversification argument and recommend how to document the margin.
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Fair value is a market-participant concept, not a company-specific solvency concept. If the portfolio is being sold as a standalone block to a third party, the buyer may not be able to realize the seller's internal diversification benefit, so the CRO is largely correct that a company-specific diversification credit is hard to defend. If the valuation premise is the sale of the portfolio within a diversified transaction, some benefit might be negotiated, but it must be supported by what market participants would actually pay. I would document the valuation premise, the capital path, the cost-of-capital spread, and the treatment of diversification. I would also show sensitivity to the capital path and to a standalone versus diversified buyer, and avoid using peer disclosures as the primary support.
3. If the auditor challenges the use of the 6% risk-free rate when the cost of capital is 8%, explain the correct discounting approach.
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The risk margin represents the cost of holding capital over the run-off. The capital amounts are projected and then discounted at the risk-free rate, while the cost-of-capital spread is applied to those capital amounts. Using 8% to discount the margin would double-count risk: the 8% already contains the cost of capital, and discounting at 8% would embed an additional risk charge. The 6% risk-free rate is the appropriate discount rate for the risk margin cash flows if the capital projections are consistent with that basis. The auditor should see a clear bridge from projected capital to the margin, with the 2% spread and the 6% discount rate separately identified.