In a continuous-time representative investor economy with an exogenously given information process, asset prices are derived for alternative characterizations of the pricing kernel. In addition to the characterization of forward prices in a general representative investor economy a detailed...

In a continuous-time representative investor economy with an exogenously given information process, asset prices are derived for alternative characterizations of the pricing kernel. In addition to the characterization of forward prices in a general representative investor economy a detailed...

This paper considers a class of nonstationary Gaussian processes with possible long-range dependence (LRD) and intermittency. The author proposes a new estimation method to simultaneously estimate both the LRD and intermittency parameter. An application of the proposed estimation method to a...

Given a finite set of observed data {Xtk(ω0),Ytk(ω0)} of just one sample path at n regularly spaced time of the processes Xt and Yt satisfying dXt=a0(t)dt+a1(t)dW1(t)+a2(t)dW2(t)+dJ1(t),dYt=b0(t)dt+b1(t)dW1(t)+b2(t)dW2(t)+dJ2(t),t∈[0,T], where J1,J2 are jump process, we are to investigate a...

We examine how to approximate a Lévy process by a hyperexponential jump-diffusion (HEJD) process, composed of Brownian motion and of an arbitrary number of sums of compound Poisson processes with double exponentially distributed jumps. This approximation will facilitate the pricing of exotic...

This paper provides a nonparametric model of multi-step ahead forecasting in diffusion processes. The model is constructed from the local linear model with the Gaussian kernel. The paper provides simulation studies to evaluate its performance of multi-step ahead forecasting by comparing with the...

In this paper, we study the problem of pricing average strike options in the case where the price processes are jump diffusion processes. As to the striking value we take the geometric average of the price process. Two cases are studied in details: One is the case where the jumping law of the...