Pricing catastrophe insurance futures call spreads: A randomized operational time approach

NCUIR > School of Management at National Central University > Graduate Institute of Finance > journal & Dissertation > Item 987654321/29550

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/29550

Title:	Pricing catastrophe insurance futures call spreads: A randomized operational time approach
Authors:	Chang,CW;Chang,JSK;Yu,MT
Contributors:	財務金融所
Keywords:	DISTRIBUTIONS HYPOTHESIS;STOCK RETURNS;TESTS;OPTIONS;MIXTURE;MODELS;PRICES;VALUATION;CONTRACTS;MARKET
Date:	1996
Issue Date:	2010-06-29 20:30:46 (UTC+8)
Publisher:	中央大學
Abstract:	Actuaries value insurance claim accumulations using a compound Poisson process to capture the random, discrete, and clustered nature of claim arrival, but the standard Black (1976) formula for pricing futures options assumes that the underlying futures price follows a pure diffusion. Extant jump-diffusion option valuation models either assume diversifiable jump risk or resort to equilibrium arguments to account for jump risk premiums. We propose a novel randomized operational time approach to price options in information-time. The time change transforms a compound Poisson process to a more trackable pure diffusion and leads to a parsimonious option pricing formula as a risk-neutral Poisson sum of Black's prices in information-time with only two unobservable variables-the information arrival intensity and the information-time futures volatility.
Relation:	JOURNAL OF RISK AND INSURANCE
Appears in Collections:	[Graduate Institute of Finance] journal & Dissertation

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