Reserving, pricing and hedging for policies with guaranteed annuity options

doi:10.1017/S1357321700004219

淡江大學機構典藏 > 商管學院 > 風險管理與保險學系 > 期刊論文 > Item 987654321/24555

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題名:	Reserving, pricing and hedging for policies with guaranteed annuity options
作者:	Wilkie, A. D.;Waters, H. R.;楊曉文;Yang, Sheau-wen
貢獻者:	淡江大學保險學系
關鍵詞:	Guaranteed Annuity Options;Contingency Reserves;Quantile Reserves;Conditional Tail Expectations;Charging for Contingency Reserves;Mortality Improvements;Quanto Options;Option Prices;Hedging Proportions;Dynamic Hedging;Empirical Hedging;Hedging Errors;Transaction Costs;Practicability of Hedging;Fat-tailed Innovations;Stochastic Mortality Models;Stochastic Hypermodels;Stochastic Bridges;Brownian Bridges;Ornstein-Uhlenbeck Bridges
日期:	2003-01-01
上傳時間:	2009-11-30 18:26:57 (UTC+8)
出版者:	Faculty of Actuaries and Institute of Actuaries
摘要:	In this paper we consider reserving and pricing methodologies for a pensions-type contract with a simple form of guaranteed annuity option. We consider only unit-linked contracts, but our methodologies and, to some extent, our numerical results would apply also to with-profits contracts. The Report of the Annuity Guarantees Working Party (Bolton et al., 1997), presented the results of a very interesting survey, as at the end of 1996, of life assurance companies offering guaranteed annuity options. There was no consensus at that time among the companies on how to reserve for such options. The Report discussed several approaches to reserving, but concluded that it was unable to recommend a single approach. This paper is an attempt to fill that gap. We investigate two approaches to reserving and pricing. In the first sections of the paper we consider quantile, and conditional tail expectation, reserves. The methodology we adopt here is very close to that proposed by the Maturity Guarantees Working Party in its Report to the profession (Ford et al., 1980). We show how these policies could have been reserved for in 1985, and what would have been the outcome of using the proposed method. In a later section we consider the feasibility of using option pricing methodology to dynamically hedge a guaranteed annuity option. It is shown that this is possible within the context of the model we propose, but we submit that, in practical terms, dynamic hedging is not a complete solution to the problem since suitable tradeable assets do not in practice exist. Finally, we describe several enhancements to our models and methodology, which would make them even more realistic, though generally they would have the effect of increasing the required contingency reserves
關聯:	British Actuarial Journal 9(2), pp.263-391
DOI:	10.1017/S1357321700004219
顯示於類別:	[風險管理與保險學系] 期刊論文

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