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The basic model for high-frequency data in finance is considered, where an efficient price process is observed under microstructure noise. It is shown that this nonparametric model is in Le Cam’s se...
Let X be the unique solution started from x0 of the stochastic differential equation dXt = µ(t;Xt)dBt +b(t;Xt)dt with B a standard Brownian motion. We consider an approximation of the volatili...
The Extended Generalized Inverse Gaussian Distribution for Log-Linear and Stochastic Volatility Models。
This note continues investigation of randomness-type properties emerging in idealized financial markets with continuous price processes. It is shown, without making any probabilistic assumptions, that...
Asymmetrical movements between the downward and upward phases of sample paths of many financial time series have been noted by economists. By incorporating the conditional heteroskedasticity aspect in...
In this paper, we investigate volatility in Japanese stock returns, using the state-space model. The daily data of Nikkei 225 stock average from January 4, 1985 to June 10, 2004 are utilized and the s...
This article analyzes a Markov switching stochastic volatility (MSSV) model to accommodate the shift in the mean of log-volatility. Since it is difficult to estimate the parameters in this model based...
Stochastic volatility (SV) models provide useful tools to describe the evolution of asset returns, which exhibit time-varying volatility. This paper extends a basic SV model to capture a leverage effe...
The virtual elimination of the federal deposit insurance premium for the majority of banks in 1995 and 1996 has been widely heralded as a boon for bankers. Certainly it represents welcome relief fro...
This paper deals with the filtering problem for a class of discrete time stochastic volatility models in which the disturbances have rational probability density functions. This includes the Cauchy ...
In this paper we consider two processes driven by diffusions and jumps. The jump components are L´evy processes and they can both have finite activity and infinite activity. Given discrete obse...
The Sharpe ratio, which is defined as the ratio of the excess expected return of an investment to its standard deviation, has been widely cited in the financial literature by researchers and practit...
Correlations between asset returns are important in many financial applications. In recent years, multivariate volatility models have been used to describe the time-varying feature of the correlatio...

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