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In this paper, we propose a general methodology to analyse model risk for discount bond options within a unified Heath, Jarrow, Morton (1992) framework. We illustrate its applicability by focusing on the hedging of discount bond options and options portfolios. We show how to decompose the...
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The last decades have seen the development of a profusion of theoretical models of the term structure of interest rates. The aim of this survey is to provide a comprehensive review of these continuous time modeling techniques of the term structure applicable to value and hedge default-free bonds...
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[eng] Insurance-Company Risk Connected with Life-Insurance Contracts . by Christophe Berthelot, Mireille Bossy and Nathalie Pistre . Life-insurance contracts in francs are in fact capitalisation contracts which provide a return with the dual advantage of offering a guaranteed rate and benefiting...
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We consider the one-dimensional nonlinear P.D.E. in the weak sense: When the initial condition is a probability on R, the solution Ut is the distribution of the random variable Xt where (Xt) is a nonlinear stochastic process in the sense of McKean.
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We aim to compare financial technical analysis techniques to strategies which depend on a mathematical model. In this paper, we consider the moving average indicator and an investor using a risky asset whose instantaneous rate of return changes at an unknown random time. We construct...
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