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Bessel Processes, Stochastic Volatility, and Timer Options
Bessel Processes Stochastic Volatility Timer Options
2016/1/25
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...
Bessel Processes, Stochastic Volatility, and Timer Options
Bessel Processes Stochastic Volatility Timer Options
2016/1/20
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...
Moment based estimation of supOU processes and a related stochastic volatility model
generalized method of moments Ornstein-Uhlenbeck type process L
2013/6/14
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...
Simple techniques for likelihood analysis of univariate and multivariate stable distributions: with extensions to multivariate stochastic volatility and dynamic factor models
Univariate and multivariatestable distributions MCMC Approximate,Aayesian,Computation Characteristic function
2012/11/21
In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i)...
Second Order Multiscale Stochastic Volatility Asymptotics: Stochastic Terminal Layer Analysis & Calibration
Second Order Multiscale Stochastic Volatility Asymptotics Stochastic Terminal Layer Analysis Calibration
2012/9/14
Multiscale stochastic volatility models have been developed as an efficient way to capture the principle effects on derivative pricing and portfolio optimization ofrandomly varying volatility. The rec...
The Exact Smile of some Local Stochastic Volatility Models
CEV local volatility stochastic volatility implied volatility.
2012/9/14
We introduce a class of local stochastic volatility models.Within our framework, we obtain an expression for both (i) the price of any European option and (ii) the induced implied volatility smile. To...
Pricing joint claims on an asset and its realized variance under stochastic volatility models
Volatility derivatives stochastic volatility models partial differential equations parabolic equations target volatility option.
2012/9/14
In a stochastic volatility framework, we find a general pricing equation for the class of payoffs depending on the terminal value of a market asset and its final quadratic variation. This allows a pri...
Stochastic Volatility with Heterogeneous Time Scales
Stochastic Volatility Long Memory Generalized Methods of Moments Econo-physics
2012/9/13
Agents' heterogeneity has been recognized as a driver mechanism for the persistence of nancial volatility. We focus on the multiplicity of investment strategies' horizons;we embed this concept in a c...
Approximating stochastic volatility by recombinant trees
American options stochastic volatility Heston model correlated random walk
2012/6/5
A general method to construct recombinant tree approximations for stochastic volatility models is developed and applied to the Heston model for stock price dynamics. In this application, the resulting...
New solvable stochastic volatility models for pricing volatility derivatives
New solvable stochastic volatility models pricing volatility derivatives Pricing of Securities
2012/6/5
Classical solvable stochastic volatility models (SVM) use a CEV process for instantaneous variance where the CEV parameter $\gamma$ takes just few values: 0 - the Ornstein-Uhlenbeck process, 1/2 - the...
Exponential Levy models with stochastic volatility and stochastic jump-intensity
spectral theory normal operator Levy process stochastic volatility stochastic jump-intensity
2012/6/4
We consider the problem of valuing a European option written on an asset whose dynamics are described by an exponential L\'evy-type model. Both the volatility and jump-intensity of the L\'evy process ...
Libor model with expiry-wise stochastic volatility and displacement
displaced Libor models stochastic volatility calibration to capstrike maturity matrix swaption pricing
2012/4/28
We develop a multi-factor stochastic volatility Libor model with displacement, where each individual forward Libor is driven by its own square-root stochastic volatility process. The main advantage of...
Maximum likelihood approach for several stochastic volatility models
Maximum likelihood approach several stochastic volatility models Computational Finance
2012/4/28
Volatility measures the amplitude of price fluctuations. Despite it is one of the most important quantities in finance, volatility is not directly observable. Here we apply a maximum likelihood method...
A Linear Relationship between Market Prices of Risks and Risk Aversion in Complete Stochastic Volatility Models
von-Neumann Morgenstern utility asset risk linear combination
2011/4/2
Considering a production economy with an arbitrary von-Neumann Morgenstern utility, this paper derives a general equilibrium relationship between the market prices of risks and market risk aversion un...
On Calibrating Stochastic Volatility Models with time-dependent Parameters
Calibrating Stochastic Volatility Models time-dependent Parameters
2010/10/22
We consider stochastic volatility models using piecewise constant parameters. We suggest a hybrid optimization algorithm for fitting the models to a volatility surface and provide some numerical resu...