In this paper, expansions of functionals of Lévy processes are established under some Hilbert spaces and their orthogonal bases. From practical standpoint, both time-homogeneous and time-inhomogeneous functionals of Lévy processes are considered. Several expansions and rates of convergence are...

Affine mortality models are well suited for theoretical and practical application in pricing and risk management of mortality risk. They produce consistent, closed-form stochastic survival curves allowing for the efficient valuation of mortality-linked claims. We model USA age-cohort mortality...

This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We present the Monte-Carlo method for European and American option pricing with the sample path generation and calibrate model parameters to the American style S&P 100 index options...

This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We present the Monte-Carlo method for European and American option pricing with the sample path generation and calibrate model parameters to the American style S&P 100 index options...

Zur Modellierung des VDAX-Volatilitätsindexes In dieser Arbeit werden zwei verwandte Ansätze zur Modellierung des VDAX-Volatilitätsindexes anhand einer historischen Zeitreihe verglichen. Der Standardansatz ist das weitverbreitete "Mean Reverting Diffusion"-Modell. Die Alternative besteht in...

This study combines the empirical estimation of a Double-Exponential Jump-Diffusion (DEJD) process for a CDS index and the use of estimated parameters to price options on the index. In the first step we find Maximum Likelihood estimates for the diffusion volatility, the Poisson jump frequencies,...

An asymmetric jump-diffusion model of stock price behavior is proposed. In an extension of Merton's (1976), we posit that returns dynamics are determined by a drift component, a Wiener process and two jump processes representing the arrival of quot;goodquot; or quot;badquot; news that lead to...

We examine the forecast quality of Chicago Board Options Exchange (CBOE) implied volatility indexes based on the Standard and Poor's 100 and Nasdaq 100 stock indexes. We find that the forecast quality of CBOE implied volatilities for the Samp;P 100 (VIX) has significantly improved in recent...

This research paper is aimed at diagnosing the pricing inefficiencies prevailing in the Indian index options market. The inefficiencies are being revealed by testing the rational expectations hypothesis on the term structure of implied volatilities of index options. In the paper, an effort has...