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Market Consistent Valuation of Life Assurance Business

Published online by Cambridge University Press:  10 June 2011

T. J. Sheldon  and
A. D. Smith
T. J. Sheldon
Affiliation:
Deloitte, Horizon House, 28, Upper High Street, Epsom, Surrey KT17 4RS, U.K. Email: [email protected]
A. D. Smith
Affiliation:
Deloitte, Horizon House, 28, Upper High Street, Epsom, Surrey KT17 4RS, U.K. Email: [email protected]
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Abstract

In recent years there has been a trend towards market consistent valuation in those institutions for which actuaries have responsibilities. The larger United Kingdom with-profits insurance companies are now preparing realistic balance sheets, both for internal purposes and also at the request of the Financial Services Authority. International accounting standards have been moving to a fair value approach. Pension fund accounting under FRS 17 has also moved in this direction.

In this paper we examine the reasons for the adoption of market consistent valuation and discuss some of the commercial implications and corporate valuation. We consider the methods and assumptions which can be used to develop market consistent valuations of cash flows typically encountered in the liabilities of financial institutions, together with some of the problems inherent in the calibration of models used for the valuation of these cash flows. The volatility assumption is crucial to the valuation of options and guarantees, and we discuss the relationship between historical and implied volatility.

While most insurance companies initially adopted formulae to value their with-profits guarantees, several offices are now using a Monte Carlo simulation approach for their realistic balance sheets. The Monte Carlo approach enables allowance to be made for management discretion in bonus and investment policy, as well as policyholder actions. However, in many cases it is possible to develop analytical formulae for cash flows approximating those payable under insurance contracts.

The valuation formulae have implications for the hedging of embedded guarantees. The authors discuss the construction of hedges for financial risks in with-profits funds, the separate perspectives of policyholders and shareholders, possible funds in which to hold hedging instruments, limitations of capital market hedging tools and the effect of taxation on hedge effectiveness.

Keywords

Market Consistent ValuationRealistic Balance SheetGuaranteesOptionsOption PricingBlack Scholes FormulaArbitrageHistorical and Implied VolatilityVolatility SmileExotic GuaranteesCredit RiskCalibrationMarket DataTaxationMonte Carlo SimulationHedging
Type
Sessional meetings: papers and abstracts of discussions
Information
British Actuarial Journal , Volume 10 , Issue 3 , 01 August 2004 , pp. 543 - 605
Copyright
Copyright © Institute and Faculty of Actuaries 2004

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