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Markovian projection onto a Heston model [PDF]
We develop a systematic approach to the reduction of dimensionality of smile-enabled models by projecting them onto a displaced version of the two-dimensional Heston process. The projection is the key for deriving efficient, analytical approximations to European option prices in such models.
Vladimir Piterbarg+2 more
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Efficient Simulation of the Double Heston Model [PDF]
Stochastic volatility models have replaced Black-Scholes model since they are able to generate a volatility smile. However, standard models fail to capture the smile slope and level movements. The Double-Heston model provides a more flexible approach to model the stochastic variance.
Gauthier, Pierre, Possamaï, Dylan
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Estimating a Local Heston Model
SSRN Electronic Journal, 2018We develop a new approach to modeling the volatility of stock prices that overcomes well-known problems with using realized volatility as a proxy for integrated volatility. Using high-frequency data for SPY, an exchange-traded fund that tracks the S&P 500, we estimate the parameters of a structural model of stochastic volatility for every trading day ...
Duke Whang+3 more
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ON THE HESTON MODEL WITH STOCHASTIC CORRELATION
International Journal of Theoretical and Applied Finance, 2016The degree of relationship between financial products and financial institutions, e.g. must be considered for pricing and hedging. Usually, for financial products modeled with the specification of a system of stochastic differential equations, the relationship is represented by correlated Brownian motions (BMs).
Matthias Ehrhardt+2 more
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A Statistical Test for the Heston Model
2014We introduce a formal test to detect whether a times series of financial log-returns is consistent with the Heston stochastic volatility model as data generating process. The test is based on the auto-covariance structure of the integrated volatility, which is available in closed form for the model under investigation.
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Malliavin differentiability of the Heston volatility and applications to option pricing
Advances in Applied Probability, 2008Elisa Alòs
exaly +2 more sources
The characteristic function of rough Heston models
Mathematical Finance, 2019Mathieu Rosenbaum
exaly
A SEMI-ANALYTICAL PRICING FORMULA FOR EUROPEAN OPTIONS UNDER THE ROUGH HESTON-CIR MODEL
ANZIAM Journal, 2019Sha Lin, Xin-jiang He
exaly