Search Results - "Gatheral, Jim"
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TRANSIENT LINEAR PRICE IMPACT AND FREDHOLM INTEGRAL EQUATIONS
Published in Mathematical finance (01-07-2012)“…We consider the linear‐impact case in the continuous‐time market impact model with transient price impact proposed by Gatheral. In this model, the absence of…”
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ASYMPTOTICS OF IMPLIED VOLATILITY IN LOCAL VOLATILITY MODELS
Published in Mathematical finance (01-10-2012)“…Using an expansion of the transition density function of a one‐dimensional time inhomogeneous diffusion, we obtain the first‐ and second‐order terms in the…”
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Marco Avellaneda: Mathematician and trader
Published in Mathematical finance (01-01-2023)Get full text
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No-dynamic-arbitrage and market impact
Published in Quantitative finance (01-08-2010)“…Starting from a no-dynamic-arbitrage principle that imposes that trading costs should be non-negative on average and a simple model for the evolution of market…”
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Arbitrage-free SVI volatility surfaces
Published in Quantitative finance (02-01-2014)“…In this article, we show how to calibrate the widely used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of…”
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Pricing under rough volatility
Published in Quantitative finance (02-06-2016)“…From an analysis of the time series of realized variance using recent high-frequency data, Gatheral et al. [Volatility is rough, 2014] previously showed that…”
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Special issue of Quantitative Finance in honor of Michael Dempster's 85th birthday
Published in Quantitative finance (01-09-2024)Get full text
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Affine forward variance models
Published in Finance and stochastics (01-07-2019)“…We introduce the class of affine forward variance (AFV) models of which both the conventional Heston model and the rough Heston model are special cases. We…”
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Valuation of volatility derivatives as an inverse problem
Published in Quantitative finance (01-12-2005)“…Ground-breaking recent work by Carr and Lee extends well-known results for variance swaps to arbitrary functions of realized variance, provided a…”
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Optimal execution with non-linear transient market impact
Published in Quantitative finance (02-01-2017)“…We study the problem of the optimal execution of a large trade in the propagator model with non-linear transient impact. From brute force numerical…”
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A generalization of the rational rough Heston approximation
Published in Quantitative finance (2024)“…Previously, in Gatheral and Radoičić (Rational approximation of the rough Heston solution. Int. J. Theor. Appl. Finance, 2019, 22(3), 1950010), we derived a…”
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Exponentiation of conditional expectations under stochastic volatility
Published in Quantitative finance (01-01-2020)“…We use the Itô Decomposition Formula (see Alòs [A decomposition formula for option prices in the Heston model and applications to option pricing approximation…”
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In memoriam Marco Avellaneda
Published in Quantitative finance (03-10-2022)Get full text
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In Memoriam Mardi Dungey
Published in Quantitative finance (03-04-2022)Get full text
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Convergence of Heston to SVI
Published in Quantitative finance (01-08-2011)Get full text
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Discrete homotopy analysis for optimal trading execution with nonlinear transient market impact
Published in Communications in nonlinear science & numerical simulation (01-10-2016)“…•Optimal execution problem in presence of a concave instantaneous market impact.•Application of the homotopy analysis method to a weakly singular Urysohn…”
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Fast Ninomiya-Victoir calibration of the double-mean-reverting model
Published in Quantitative finance (01-11-2013)“…We consider the three-factor double mean reverting (DMR) option pricing model of Gatheral [Consistent Modelling of SPX and VIX Options, 2008], a model which…”
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The Zumbach effect under rough Heston
Published in Quantitative finance (01-02-2020)“…Previous literature has identified an effect, dubbed the Zumbach effect, that is nonzero empirically but conjectured to be zero in any conventional stochastic…”
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