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We analyze the properties of the implied volatility, the commonly used volatility estimator by direct option price inversion. It is found that the implied volatility is subject to a systematic bias in...
Motivated by analytical valuation of timer options (an important innovation in realized variance based derivatives), we explore their novel mathematical connection with stochastic volatility and Besse...
We analyze the properties of the implied volatility, the commonly used volatility estimator by direct option price inversion. It is found that the implied volatility is subject to a systematic bias in...
Motivated by analytical valuation of timer options (an important innovation in realized variance based derivatives), we explore their novel mathematical connection with stochastic volatility and Besse...
After a quick review of superpositions of OU (supOU) processes, integrated supOU processes and the supOU SV model we estimate these processes by using the generalized method of moments. We show that t...
In this article we consider the volatility inference in the presence of both market microstructure noise and endogenous time. Estimators of the integrated volatility in such a setting are proposed, an...
We consider a multidimensional It坥 semimartingale regularly sampled on [0,t] at high frequency 1/∆n, with ∆n going to zero. The goal of this paper is to provide an estimator for the integr...
We introduce the notion of continuously invertible volatility models that relies on some Lyapunov condition and some regularity condition.
We consider discrete-time observations of a continuous martin- gale under measurement error. This serves as a fundamental model for high-frequency data in finance, where an efficient price process ...
High-frequency data observed on the prices of financial assets are commonly modeled by diffusion processes with micro-structure noise, and realized volatility-based methods are often used to estimat...
In this paper we derive lower bounds in minimax sense for estimation of the instantaneous volatility if the diffusion type part cannot be observed directly but under some additional Gaussian noise. ...
An Markov chain Monte Carlo simulation method based on a two stage delayed rejection Metropolis-Hastings algorithm is proposed to estimate a factor multivariate stochastic volatility model. The firs...
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。

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