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Stochastic Volatility: Origins and Overview [PDF]
, 2009 Stochastic volatility is the main way time-varying volatility is modelled in financial markets. The development of stochastic volatility is reviewed, placing it in a modeling and historical context. Some recent trends in the literature are highlighted.
Neil Shephard, Torben G. Andersen
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An Investment and Consumption Problem with CIR Interest Rate and Stochastic Volatility
Abstract and Applied Analysis, 2013 We are concerned with an investment and consumption problem with stochastic interest rate and stochastic volatility, in which interest rate dynamic is described by the Cox-Ingersoll-Ross (CIR) model and the volatility of the stock is driven by Heston’s ...
Hao Chang, Xi-min Rong
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, 2006 We propose two main applications of Gy\"{o}ngy (1986)'s construction of inhomogeneous Markovian stochastic differential equations that mimick the one-dimensional marginals of continuous It\^{o} processes.
Atlan, Marc
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Multipower Variation and Stochastic Volatility [PDF]
, 2006 In this brief note we review some of our recent results on the use of high frequency financial data to estimate objects like integrated variance in stochastic volatility models. Interesting issues include multipower variation, jumps and market microstructure effects.
Barndorff-Nielsen, Ole Eiler +1 more
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The Jacobi stochastic volatility model [PDF]
Finance and Stochastics, 2016 We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log returns admits a Gram-Charlier A expansion with closed-form coefficients.
Filipovic, Damir +2 more
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Pricing Arithmetic Asian Options under Hybrid Stochastic and Local Volatility
Journal of Applied Mathematics, 2014 Recently, hybrid stochastic and local volatility models have become an industry standard for the pricing of derivatives and other problems in finance. In this study, we use a multiscale stochastic volatility model incorporated by the constant elasticity ...
Min-Ku Lee +2 more
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ESTIMASI VALUE AT RISK MENGGUNAKAN VOLATILITAS DISPLACED DIFFUSION
E-Jurnal Matematika, 2019 Value at Risk (VaR) is a measure of risk that is able to calculate the worst possible loss that can occurs to stock prices with a certain level of confidence and within a certain period of time. The purpose of this study was to determine the VaR estimate
MIRANDA NOVI MARA DEWI +2 more
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Stochastic volatility and DSGE models [PDF]
Economics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MEAN-REVERTING STOCHASTIC VOLATILITY [PDF]
International Journal of Theoretical and Applied Finance, 2000 We present derivative pricing and estimation tools for a class of stochastic volatility models that exploit the observed "bursty" or persistent nature of stock price volatility. An empirical analysis of high-frequency S&P 500 index data confirms that volatility reverts slowly to its mean in comparison to the tick-by-tick fluctuations of the index ...
Fouque, Jean-Pierre +2 more
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MathematicsThis paper develops an analytical pricing formula for vulnerable options with stochastic volatility under a two-factor stochastic interest rate model.
Junkee Jeon, Geonwoo Kim
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