Non Traditional Pricing - Alternative Risks -



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Non Traditional Pricing - Alternative Risks - Prof. Dr. Martin Balleer, Georg-August-Universität Göttingen Germany 13th/14th June 2013, Vrnjacka Banja XI International Symposium on Insurance INSURANCE MARKET AND REINSURANCE

Traditional pricing Traditional pricing Collective risk equalization by using actuarial techniques within the risk collectives; the risk collectives cover liabilities/claims Life insurance: Liabilities backed by technical provisions that cover the liabilities; prudent calculation of the used guaranteed interest rates; guaranteed interest rates financed by an intelligent asset mix that follows legal principles of balancing rentability, liquidity and prudency. Life insurance: Profit participation for the policyholders as a result of prudent calculation of interest rates; collective participation of the policyholders by bonusses that follow a portfolio interest rate

Non-traditional pricing: Overview Non-traditional pricing = transfer of insurance risks to the capital market Main risk exposure in life insurance: Mortality risks, longevity risks Investment risks Interest-rate risks Main risks in non-life insurance CAT-risks Principal question: Can these risks be hedged by the capital market against the background that the capital maket has another dimension of capacity than the global insurance capacity?

Life insurance: Non-traditional pricing Example: Mortality Bond of Swiss Re, 2003-2007 Reference index: Mix of mortality rates in several countries (U.S.A. 70%, U.K. 15%, France 7,5%, Switzerland 2,5%, male 65&, female 35%); index tailored to Swiss Re exposure Principal: 400 Mio US-Dollar; hedges exposure to Mortality-CAT-risks (severe outbreak of influenca, major terrorist attack,natuaral desaster) Principal-at-risk: If measured mortality index greater than 130% of reference index; principal exhausted if measured mortality index greater than 150% of reference index Quarterly coupon: 3 month U.S. Dollar Libor + 135 bps (rather attractive) Andrew Cairns, Edinborough, 2008

Life insurance: Non-traditional pricing Example: Mortality Bond of Swiss Re, launched 2003

Life insurance: Non-traditional pricing The structure of Swiss Re mortality bond

Life insurance: Non-traditional pricing Example: Variable Annuities are unit-linked products based on normal funds with additional guarantees based on capital market instruments: GMIB = Guaranteed Minimum Income Benefit GMAB = Guaranteed Minimum Account Benefit GMDB = Guaranteed Minimum Death Benefit GMWB = Guaranteed Minimum Withdrawal Benefit The guarantees are priced by an additional fee of around 15-200 bps plus 0-5% of the regular premiums for the unit-linked policy, depending on the profile of the policy (many variants) The guarantees are hedged by an hedging portfolio that is appromimating the value of the guarantees.

Life insurance: Non-traditional pricing Variable Annuities: Hedging the guarantees - Value of option of future-portfolio dependent on changing markets - Guarantees: Value of Option (konvex) Change of liabilities Every market change generates a loss when adapting the Future-portfolio Decreasing market Result Future-portfolio Source: Heinen, DAV-meeting Stuttgart 2011 Increasing market Stock index Value of Future-portfolio (linear)

Life insurance: Non-traditional pricing Variable Annuities: Hedging the guarantees - Value of option of future-portfolio dependent on changing markets - Value of option Options and Futures asynchron Stock index Value of Future portfolio

Life insurance: Non-traditional pricing Variable Annuities: Hedging the guarantees - Value of option of future-portfolio dependent on changing markets - Value of option Realised loss of Future portfolio new old Stock index Future portfolio (new) Future portfolio (old)

Life insurance: Non-traditional pricing Variable Annuities: Quality of hedging Source: Finkelstein/Holler, Variable Annuity Risk Managment, AFIR/Life Congress, Munich 2009

Life insurance: Non-traditional pricing Variable Annuities in Europe (August 2009)

Non-life insurance: Non-traditional pricing Traditional reinsurance versus non-traditional reinsurance Source: MunichRE

Non-life insurance: Non-traditional pricing Alternative Risk Transfer (ART) = New forms of reinsurance by use of the capital market Asset Hedge: Claims for payments are hedged by compensation of another claims for payments: Classical reinsurance, derivaties Liability-Hedge: Claims for payment are hedged by a corresponding reduction of the liabilities on the liability side of the balance sheet: Insurance Linked Bonds (ILB) Leverage Management: Claims for payments are hedged by equity injection Equity Puts

Non-life insurance: Non-traditional pricing Effects of Alternative Risk Transfer on balance sheet before claims after claims after claims without hedging with hedging Source: Schradin, Finanzielle Steuerung der Rückversicherung (1998)

Non-life insurance: Non-traditional pricing Example: CAT-Risks insured by capital market: Insurance linked bonds (ILB) Bonds are issued based on insurance risks Principal-at-risk and/or coupon-at-risk ILB as a liability hedge; risk capital is prefinanced Derivatives Derivatives (futures, forwards, swaps); underlying based on insurance risks (triggers) Prominent example: Weather derivatives Derivative as an asset hedge; risk capital is financed at maturity

Non-life insurance: Non-traditional pricing Insurance Linked Bonds (ILB) Fixed-or floating-rate securities with conditional payment (maturity, interest payments, repayment shape and height), is dependent on an insured event (trigger): Principle-protected bonds: unconditional repayment Principle-at-risk bonds: Conditional repayment depends on the insurance event (eg, hurricane, earthquake, exceeding a defined level of damage) Coupon payments unconditional or conditional (coupon-at-risk) Initial application in the field of CAT risks, increasingly used in other areas of insurance (Mortality bonds, longevity bonds, motor bonds, etc.) The bonds are on the investor side by relative independence from the capital market and are therefore well suited for diversification

Non-life insurance: Non-traditional pricing Insurance Linked Bonds (ILB) Trigger Types Indemnity trigger - Reaching or exceeding of a certain amount of loss by an insurer Industry index - Reaching or exceeding of a certain industry-specific level of damage Modelled Loss - Mathematical models, whose data is based on physical events Parametric trigger - Dependent on physical parameters (wind speed, scale earthquake, etc.) Hybrid trigger - Mixture of different types of triggers

Non-life insurance: Non-traditional pricing The transparency and basic risk for various types of triggers

Non-life insurance: Non-traditional pricing Structure of Insurance Linked Bonds (ILB) Guy Carpenter, The Catastrophe Bond Market at Year End 2007, 2008

Non-life insurance: Non-traditional pricing Derivate Insurance-Futures at stock exchange In case of occurrence of damage (underlying) predefined financial compensation Insurance-Options at stock exchange Is based on a futures contract OTC- Insurance-Derivaties Prominent example: Weather derivatives OTC-Insurance-Options OTC Insurance-Swaps Regular payments LIBOR + Spread in % against contingent payment

Non-life insurance: Non-traditional pricing Example 1: Weather Derivative Story:This positive result result for the buyer of this option means that he can partly or even fully compensate for the revenue lost due to the weather conditions and, in extreme cases,possibly evenpocket windfall profits

Non-life insurance: Non-traditional pricing Example 2: Weather derivative Net payments Change without put-option Smoothed change with put-option Fee for put-option Payments of put-option Story (energy provider): Hedging the change of turnover because of weather disasters

Non-life insurance: Non-traditional pricing ART Consequences and problems Basis risk Underlying not exactly consistent with the damage Moral Hazard and Adverse Selection Possibility of manipulation by asymmetric information Credit risk At ILB restricted, limited to derivatives, but possible Duration and flexibility Short durations, high flexibility, but IBNR problem IBNR Claims payment can be beyond the expiration of contract Cost and price issues Depending on market, high transaction costs at ILB Volatility of capital market Great importance of the situation in the capital markets Regulatory Aspects Recognition as reassurance not always guaranteed

Market situation Development of the market volume

Market situation Changement of investor behaviour (2004 and 2010)

Market situation Market volume 2010: 45,3 Billion USD

Thank you for your attention! Prof. Dr. Martin Balleer martin.balleer@actuarial-academy.com