Stochastic Volatility for Lévy Processes

From MaRDI portal
Publication:4812839

DOI10.1111/1467-9965.00020zbMath1092.91022OpenAlexW3121574170MaRDI QIDQ4812839

Marc Yor, Dilip B. Madan, Peter Carr, Hélyette Geman

Publication date: 23 August 2004

Published in: Mathematical Finance (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9965.00020




Related Items

A semi-parametric method for estimating the beta coefficients of the hidden two-sided asset return jumpsEuropean Option Pricing with Stochastic Volatility Models Under Parameter UncertaintyTHE NUMERICAL STRATEGY OF TEMPERED FRACTIONAL DERIVATIVE IN EUROPEAN DOUBLE BARRIER OPTIONTempered stable processes with time-varying exponential tailsRisk Neutral Jump Arrival Rates Implied in Option Prices and Their ModelsGram–Charlier methods, regime-switching and stochastic volatility in exponential Lévy modelsStrong solutions for jump-type stochastic differential equations with non-Lipschitz coefficientsState price density estimation with an application to the recovery theoremAffine term structure models: A time‐change approach with perfect fit to market curvesArbitrage-Free Neural-SDE Market ModelsRobust willow tree method under Lévy processesNumerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivativesHedging Option Books Using Neural-SDE Market ModelsCBI-time-changed Lévy processesConvergence analysis of a LDG method for tempered fractional convection–diffusion equationsFinancial activity timeOption pricing under time interval driven modelElastic drifted Brownian motions and non-local boundary conditionsA second-order ADI method for pricing options under fractional regime-switching modelsPricing Surrender Risk in Ratchet Equity-Index Annuities under Regime-Switching Lévy ProcessesPERFORMANCE OF ROBUST HEDGES FOR DIGITAL DOUBLE BARRIER OPTIONSSpatial asymptotics at infinity for heat kernels of integro-differential operatorsSensitivities of options via Malliavin calculus: applications to markets of exponential Variance Gamma and Normal Inverse Gaussian processesAdditive Processes with Bilateral Gamma MarginalsEQUILIBRIUM ASSET AND OPTION PRICING UNDER JUMP DIFFUSIONTransient anomalous sub-diffusion on bounded domainsSome recent developments in stochastic volatility modellingUnderstanding option pricesValuing Bermudan options when asset returns are Lévy processesTHE LARGE-MATURITY SMILE FOR THE SABR AND CEV-HESTON MODELSTIME‐CHANGED ORNSTEIN–UHLENBECK PROCESSES AND THEIR APPLICATIONS IN COMMODITY DERIVATIVE MODELSEmpirical performance of models for barrier option valuationDerivatives pricing with marked point processes using tick-by-tick dataA Lévy process for the GNIG probability law with 2nd order stochastic volatility and applications to option pricingPricing Path-Dependent Options with Discrete Monitoring under Time-Changed Lévy ProcessesMultiscale exponential Lévy-type modelsStructure-preserving equivalent martingale measures for ℋ-SII modelsA forward started jump-diffusion model and pricing of cliquet style exoticsPricing swaps and options on quadratic variation under stochastic time change models -- discrete observations caseEfficient simulation of Lévy-driven point processesFrom local volatility to local Lévy modelsOption valuation with infinitely divisible distributionsOption pricing and hedging with minimum local expected shortfallMarshall–Olkin distributions, subordinators, efficient simulation, and applications to credit riskVariance Swap Pricing under Hybrid Jump ModelGenerative Bayesian neural network model for risk-neutral pricing of American index optionsBuilding multivariate Sato models with linear dependenceOn the Distributional Characterization of Daily Log‐Returns of a World Stock IndexProbability weighting and default risk: a possible explanation for distressed stock puzzlesDetecting and Repairing Arbitrage in Traded Option PricesINFERENCE FOR OPTION PANELS IN PURE-JUMP SETTINGSMomentum and reversion in risk neutral martingale probabilitiesAdaptive Wick--Malliavin Approximation to Nonlinear SPDEs with Discrete Random VariablesEstimate nothingNumerical Methods for SPDEs with Tempered Stable ProcessesMultiple subordinated modeling of asset returns: Implications for option pricingA Second Order Numerical Scheme for Fractional Option Pricing ModelsOption Pricing Under Autoregressive Random Variance ModelsNo-arbitrage semi-martingale restrictions for continuous-time volatility models subject to leverage effects, jumps and i.i.d. noise: theory and testable distributional implicationsAmerican option valuation under time changed tempered stable Lévy processesInference with non-Gaussian Ornstein-Uhlenbeck processes for stochastic volatilityVolatility smile as relativistic effectMultigrid method for pricing European options under the CGMY processA class of fourth-order Padé schemes for fractional exotic options pricing modelLow-rank diffusion matrix estimation for high-dimensional time-changed Lévy processesA general framework for time-changed Markov processes and applicationsClosed-form likelihood approximation and estimation of jump-diffusions with an application to the realignment risk of the Chinese yuanImpact of jumps on returns and realised variances: econometric analysis of time-deformed Lévy processesStability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equationsQuadratic hedging in affine stochastic volatility modelsAdditive subordination and its applications in financeA fast calibrating volatility model for option pricingThe mean correcting martingale measures for exponential additive processesAn investigation of model risk in a market with jumps and stochastic volatilityOn the role of skewness and kurtosis in tempered stable (CGMY) Lévy models in financeModel complexity and out-of-sample performance: evidence from S\&P 500 index returnsTempered fractional calculusTempered fractional order compartment models and applications in biologyInfinite divisibility for stochastic processes and time changeArbitrage-free interpolation of call option pricesAsian options pricing in Hawkes-type jump-diffusion modelsSpace-time fractional stochastic partial differential equations with Lévy noiseVariation and share-weighted variation swaps on time-changed Lévy processesHölder continuity of solutions of second-order non-linear elliptic integro-differential equationsA spectral estimation of tempered stable stochastic volatility models and option pricingTempering stable processesUtility maximization in models with conditionally independent incrementsThe evaluation of American options in a stochastic volatility model with jumps: an efficient finite element approachGeneralized pricing formulas for stochastic volatility jump diffusion models applied to the exponential Vasicek modelItô's formula for Gaussian processes with stochastic discontinuitiesOption pricing under some Lévy-like stochastic processesRBF methods in a stochastic volatility framework for Greeks computationNew families of subordinators with explicit transition probability semigroupCollocation methods for terminal value problems of tempered fractional differential equationsA tale of two option markets: pricing kernels and volatility riskHedging for the long runA multiscale extension of the Margrabe formula under stochastic volatilityMeromorphic Lévy processes and their fluctuation identitiesA finite element discretization method for option pricing with the Bates modelOption pricing and hedging under a stochastic volatility Lévy process modelNoise recovery for Lévy-driven CARMA processes and high-frequency behaviour of approximating Riemann sumsQuasi Ornstein-Uhlenbeck processesModeling high-frequency financial data by pure jump processesRealized Laplace transforms for pure-jump semimartingalesStochastic volatility with leverage: fast and efficient likelihood inferenceNonparametric inference for the spectral measure of a bivariate pure-jump semimartingaleStatistical inference for time-changed Lévy processes via composite characteristic function estimationOn exact and asymptotic formulas for the distribution of the integral of a squared Brownian motion with driftOption pricing and hedging in incomplete market driven by normal tempered stable process with stochastic volatilityTurbo warrants under hybrid stochastic and local volatilityQuantile clocksStatistical estimation of Lévy-type stochastic volatility modelsFirst steps towards an equilibrium theory for Lévy financial marketsOn the duality principle in option pricing: semimartingale settingSome properties of the one-dimensional subordinated stable modelTime-varying jump tailsConvex ordering criteria for Lévy processesIdentification of the local speed function in a Lévy model for option pricingMinimal \(q\)-entropy martingale measures for exponential time-changed Lévy processesComputable error estimates of a finite difference scheme for option pricing in exponential Lévy modelsOptimal portfolio allocation with higher momentsEfficiently pricing double barrier derivatives in stochastic volatility modelsGARCH option pricing: A semiparametric approachApplications of inverse tempered stable subordinatorsThe implicit midpoint method for Riesz tempered fractional diffusion equation with a nonlinear source termA radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applicationsConsumption-investment optimization with Epstein-Zin utility in incomplete marketsA general framework for pricing Asian options under stochastic volatility on parallel architecturesClustered Lévy processes and their financial applicationsSeries representations for multivariate time-changed Lévy modelsPricing options under stochastic volatility: a power series approachLimit theorems for power variations of pure-jump processes with application to activity estima\-tionAn Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation ApproachVariance swaps on time-changed Lévy processesArbitrage and completeness in financial markets with given \(N\)-dimensional distributionsFast numerical simulation of a new time-space fractional option pricing model governing European call optionTransition density estimates for jump Lévy processesAsymptotic results for time-changed Lévy processes sampled at hitting timesTempered stable laws as random walk limitsA posteriori error analysis for a class of integral equations and variational inequalitiesThe fractional multivariate normal tempered stable processJump diffusion processes and their applications in insurance and financeStochastic volatility modelling in continuous time with general marginal distributions: inference, prediction and model selectionOptions pricing with time changed Lévy processes under imprecise informationOn the asymptotic behaviour of Lévy processes. I: Subexponential and exponential processesThe quintessential option pricing formula under Lévy processesClosed-form valuations of basket options using a multivariate normal inverse Gaussian modelEconometric analysis of jump-driven stochastic volatility modelsEstimation of the bid-ask prices for the European discrete geometric average and arithmetic average Asian optionsSubordination, self-similarity, and option pricingAnalysis of filtering and smoothing algorithms for Lévy-driven stochastic volatility modelsSequential calibration of optionsA tale of two volatilitiesSmiles \& smirks: volatility and leverage by jumpsSensitivity analysis for averaged asset price dynamics with gamma processesOn stochastic control for time changed Lévy dynamicsFast solution method and simulation for the 2D time-space fractional Black-Scholes equation governing European two-asset option pricingPricing and hedging European-style options in Lévy-based stochastic volatility models considering the leverage effectLOCALLY RISK-NEUTRAL VALUATION OF OPTIONS IN GARCH MODELS BASED ON VARIANCE-GAMMA PROCESSThe S&P 500 Index as a Sato Process Travelling at the Speed of the VIXA generalized variance gamma process for financial applicationsSELF-DECOMPOSABILITY AND OPTION PRICINGDiffusion approximation of Lévy processes with a view towards financeLévy processes driven by stochastic volatilityActivity signature functions for high-frequency data analysisOn the Stability of Prices of Contingent Claims in Incomplete Models Under Statistical EstimationsFAST COMPUTATION OF VANILLA PRICES IN TIME-CHANGED MODELS AND IMPLIED VOLATILITIES USING RATIONAL APPROXIMATIONSA comprehensive mathematical approach to exotic option pricingIntegrating Volatility Clustering Into Exponential Lévy ModelsEquity with Markov-modulated dividendsSato processes and the valuation of structured productsThe Double Gaussian Approximation for High Frequency DataCentral Limit Theorems for the Non-Parametric Estimation of Time-Changed Lévy ModelsJumps and stochastic volatility in crude oil prices and advances in average option pricingCOS method for option pricing under a regime-switching model with time-changed Lévy processesA dynamic equilibrium model for U-shaped pricing kernelsProbing option prices for informationGeometric Asian option pricing in general affine stochastic volatility models with jumpsA Wiener-Hopf based approach to numerical computations in fluctuation theory for Lévy processesThe \(\alpha\)VG model for multivariate asset pricing: calibration and extensionOn CSCS-based iteration method for tempered fractional diffusion equationsDimension reduction for pricing options under multidimensional Lévy processesAn iterative splitting method for pricing European options under the Heston modelClosed-form formulae for European options under three-factor modelsNumerical simulation of a finite moment log stable model for a European call optionPricing timer options and variance derivatives with closed-form partial transform under the 3/2 modelPortfolio optimization and marginal contribution to risk on multivariate normal tempered stable modelSimulation of the drawdown and its duration in Lévy models via stick-breaking Gaussian approximationThe implied volatility smirkBLACK–SCHOLES–MERTON IN RANDOM TIME: A NEW STOCHASTIC VOLATILITY MODEL WITH PATH DEPENDENCEHedging Under Worst-Case-Scenario in a Market Driven by Time-Changed Lévy NoisesThe Impact of Jump Distributions on the Implied Volatility of VarianceExchangeable min-id sequences: characterization, exponent measures and non-decreasing id-processesA high-low based omnibus test for symmetry, the Lévy property, and other hypotheses on intraday returnsOn the estimation of regime-switching Lévy modelsBias reduction in spot volatility estimation from optionsBSDEs driven by time-changed Lévy noises and optimal controlForeign exchange options on Heston-CIR model under Lévy process frameworkPerformance of advanced stock price models when it becomes exotic: an empirical studyEfficient learning via simulation: a marginalized resample-move approachPricing average options under time-changed Lévy processesOrnstein-Uhlenbeck processes time changed with additive subordinators and their applications in commodity derivative modelsSOME PRICING TOOLS FOR THE VARIANCE GAMMA MODELVariance-Optimal Hedging for Time-Changed Lévy ProcessesPRICING ASIAN OPTIONS IN AFFINE GARCH MODELSMCMC ESTIMATION OF LÉVY JUMP MODELS USING STOCK AND OPTION PRICESAdditive logistic processes in option pricingStatic versus dynamic hedges: an empirical comparison for barrier optionsNonparametric estimation of time-changed Lévy models under high-frequency dataModelling tail risk with tempered stable distributions: an overviewVariance-Optimal Hedging in General Affine Stochastic Volatility ModelsLikelihood estimation of Lévy‐driven stochastic volatility models through realized variance measuresUTILITY MAXIMIZATION IN AFFINE STOCHASTIC VOLATILITY MODELSOn a class of Lévy processesInference in Lévy-type stochastic volatility modelsExponentially affine martingales, affine measure changes and exponential moments of affine processesArbitrage-free market models for option prices: the multi-strike caseAnalysis of Fourier Transform Valuation Formulas and ApplicationsRobust Approximations for Pricing Asian Options and Volatility Swaps Under Stochastic VolatilityComputation of Greeks and Multidimensional Density Estimation for Asset Price Models with Time-Changed Brownian MotionLeveraged Lévy processes as models for stock pricesDo financial returns have finite or infinite variance? A paradox and an explanationA class of Lévy process models with almost exact calibration to both barrier and vanilla FX optionsTesting for diffusion in a discretely observed semimartingaleThe numerical simulation of the tempered fractional Black-Scholes equation for European double barrier optionOn a Heath-Jarrow-Morton approach for stock optionsForward equations for option prices in semimartingale modelsA non-Gaussian option pricing model with skewGeneral Optimized Lower and Upper Bounds for Discrete and Continuous Arithmetic Asian OptionsOPTION PRICING WITH VG–LIKE MODELSA local stable bootstrap for power variations of pure-jump semimartingales and activity index estimationMoment swapsInference for local distributions at high sampling frequencies: a bootstrap approachA preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equationA multivariate Lévy process model with linear correlationMULTIVARIATE SUBORDINATION OF MARKOV PROCESSES WITH FINANCIAL APPLICATIONSEXPECTATIONS OF FUNCTIONS OF STOCHASTIC TIME WITH APPLICATION TO CREDIT RISK MODELINGCREDIT RISK MODELING USING TIME-CHANGED BROWNIAN MOTIONParameter estimation for ARTFIMA time seriesArbitrage-free smoothing of the implied volatility surfaceON VALUATION WITH STOCHASTIC PROPORTIONAL HAZARD MODELS IN FINANCEThe asymptotic behaviour of fractional lattice systems with variable delayValuation of an option using non-parametric methodsMarkov processes and generalized Schrödinger equationsNumerical approximations for the tempered fractional Laplacian: error analysis and applicationsOptimal demand in a mispriced asymmetric Carr-Geman-Madan-Yor (CGMY) economyPricing Parisian option under a stochastic volatility modelMalliavin calculus approach to statistical inference for Lévy driven SDE'sTesting for pure-jump processes for high-frequency dataFair Valuation of Life Insurance Contracts Under a Two-Sided Jump Diffusion ModelA multivariate jump-driven financial asset modelRiding on the smilesOptions on realized variance and convex ordersThe fine structure of equity-index option dynamicsUnbounded liabilities, capital reserve requirements and the taxpayer put optionStatistical signatures in times of panic: markets as a self-organizing systemInformation arrival as price jumpsRisk adjustments of option prices under time-changed dynamics



Cites Work