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Polynomial diffusions and applications in finance
10 references·8 citing·38 second hop
Polynomial diffusions and applications in finance (2016)Polynomial diffusions and applications in…Density Approximations for Multivariate Affine Jump-Diffusion Processes (2016)Density Approximations for Mu…Quadratic Variance Swap Models (2013)Quadratic Variance Swap ModelsPolynomial processes and their applications to mathematical finance (2012)Polynomial processes and thei…A comparison of biased simulation schemes for stochastic volatility models (2009)A comparison of biased simula…The Pearson Diffusions: A Class of Statistically Tractable Diffusion Processes (2008)The Pearson Diffusions: A Cla…A General Version of the Fundamental Theorem of Asset Pricing (1994) (2008)A General Version of the Fund…DIFFUSION MODELS FOR EXCHANGE RATES IN A TARGET ZONE (2007)DIFFUSION MODELS FOR EXCHANGE…A survey and some generalizations of Bessel processes (2003)A survey and some generalizat…Continuous Martingales and Brownian Motion (1999)Continuous Martingales and Br…A general version of the fundamental theorem of asset pricing (1994)A general version of the fund…Joint calibration to SPX and VIX options with signature‐based models (2024)Joint calibration to SPX and …Signature-Based Models: Theory and Calibration (2023)Signature-Based Models: Theor…Polynomial Jump-Diffusion Models (2020)Polynomial Jump-Diffusion Mod…A consistent stochastic model of the term structure of interest rates for multiple tenors (2020)A consistent stochastic model…Linear credit risk models (2019)Linear credit risk modelsPolynomial processes in stochastic portfolio theory (2018)Polynomial processes in stoch…Asian Option Pricing with Orthogonal Polynomials (2018)Asian Option Pricing with Ort…A General Framework for Time-Changed Markov Processes and Applications (2018)A General Framework for Time-…The Pricing of Options and Corporate Liabilities (1973)Martingales and stochastic integrals in the theory of continuous trading (1981)Target Zones and Exchange Rate Dynamics (1991)Esscher transforms and the minimal entropy martingale measure for exponential Lévy models (2006)Estimating Functions for Discretely Sampled Diffusion-Type Models (2010)OPTIMAL MEAN REVERSION TRADING WITH TRANSACTION COSTS AND STOP-LOSS EXIT (2015)A Theory of the Term Structure of Interest Rates (1985)The Econometrics of Financial Markets (1997)The Econometrics of Financial Markets (2012)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)The Skorokhod embedding problem and its offspring (2004)THE SPECTRAL DECOMPOSITION OF THE OPTION VALUE (2004)A jump to default extended CEV model: an application of Bessel processes (2006)Limit Theorems for Stochastic Processes (1987)Option valuation using the fast Fourier transform (1999)Post-'87 crash fears in the S&P 500 futures option market (2000)Hawkes Process: Fast Calibration, Application to Trade Clustering, and Diffusive Limit (2013)The asymptotic elasticity of utility functions and optimal investment in incomplete markets (1999)Arbitrage Theory in Continuous Time (2004)Theory of rational option pricing (2005)Brownian Motion and Stochastic Calculus (2007)Tails, Fears, and Risk Premia (2011)An equilibrium characterization of the term structure (1977)Generalized risk premia (2015)The economic value of predicting bond risk premia (2016)(Almost) Model‐Free Recovery (2018)Optimum consumption and portfolio rules in a continuous-time model (1971)Bond Variance Risk Premiums (2016)A general framework for discretely sampled realized variance derivatives in stochastic volatility models with jumps (2017)Forecasting performance of global economic policy uncertainty for volatility of Chinese stock market (2018)Theory of Rational Option Pricing (1973)Martingales and arbitrage in multiperiod securities markets (1979)Arbitrage Theory in Continuous Time (1998)Backward Stochastic Differential Equations in Finance (1997)The Variance Gamma Process and Option Pricing (1998)A probabilistic numerical method for fully nonlinear parabolic PDEs (2011)Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients (2012)First order strong approximations of scalar SDEs defined in a domain (2014)
this work references cited by second hop

References

  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 2008A General Version of the Fundamental Theorem of Asset Pricing (1994)1,568 cited
  • 1994A general version of the fundamental theorem of asset pricing1,447 cited
  • 2009A comparison of biased simulation schemes for stochastic volatility models316 cited
  • 2003A survey and some generalizations of Bessel processes305 cited
  • 2008The Pearson Diffusions: A Class of Statistically Tractable Diffusion Processes181 cited
  • 2012Polynomial processes and their applications to mathematical finance131 cited
  • 2016Density Approximations for Multivariate Affine Jump-Diffusion Processes122 cited
  • 2007DIFFUSION MODELS FOR EXCHANGE RATES IN A TARGET ZONE116 cited
  • 2013Quadratic Variance Swap Models105 cited

Cited by

  • 2018A General Framework for Time-Changed Markov Processes and Applications53 cited
  • 2020Polynomial Jump-Diffusion Models32 cited
  • 2018Polynomial processes in stochastic portfolio theory31 cited
  • 2023Signature-Based Models: Theory and Calibration30 cited
  • 2018Asian Option Pricing with Orthogonal Polynomials28 cited

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  • 2020A consistent stochastic model of the term structure of interest rates for multiple tenors24 cited
  • 2024Joint calibration to SPX and VIX options with signature‐based models21 cited
  • 2019Linear credit risk models20 cited