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Non-linear pricing theory and backward stochastic differential equations
16 references·16 citing·33 second hopsampled
Non-linear pricing theory and backward stochastic differential equations (1997)Non-linear pricing theory and backward st…A General Version of the Fundamental Theorem of Asset Pricing (1994) (2008)A General Version of the Fund…Brownian Motion and Stochastic Calculus (2007)Brownian Motion and Stochasti…Controlled Markov Processes and Viscosity Solutions (2005)Controlled Markov Processes a…Continuous Martingales and Brownian Motion (1999)Continuous Martingales and Br…Methods of Mathematical Finance (1998)Methods of Mathematical Finan…Backward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…Controlled markov processes and viscosity solutions (1994)Controlled markov processes a…Dynamic Asset Pricing Theory. (1993)Dynamic Asset Pricing Theory.Stochastic Differential Utility (1992)Stochastic Differential Utili…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework (1989)Substitution, Risk Aversion, …Brownian Motion and Stochastic Calculus (1988)Brownian Motion and Stochasti…Martingales and stochastic integrals in the theory of continuous trading (1981)Martingales and stochastic in…Controlled Diffusion Processes (1980)Controlled Diffusion ProcessesMartingales and arbitrage in multiperiod securities markets (1979)Martingales and arbitrage in …Optimum consumption and portfolio rules in a continuous-time model (1971)Optimum consumption and portf…Optimal stopping with f -expectations: The irregular case (2019)Optimal stopping with f -expe…Reflected BSDEs when the obstacle is not right-continuous and optimal stopping (2017)Reflected BSDEs when the obst…Game Options in an Imperfect Market with Default (2017)Game Options in an Imperfect …Generalized Dynkin games and doubly reflected BSDEs with jumps (2016)Generalized Dynkin games and …Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps (2014)Reflected BSDEs and robust op…RISK MEASURES: RATIONALITY AND DIVERSIFICATION (2010)RISK MEASURES: RATIONALITY AN…About the Pricing Equations in Finance (2010)About the Pricing Equations i…Generalized reflected BSDEs driven by a Lévy process and an obstacle problem for PDIEs with a nonlinear Neumann boundary condition (2009)Generalized reflected BSDEs d…CASH SUBADDITIVE RISK MEASURES AND INTEREST RATE AMBIGUITY (2009)CASH SUBADDITIVE RISK MEASURE…Bid-ask dynamic pricing in financial markets with transaction costs and liquidity risk (2009)Bid-ask dynamic pricing in fi…DEFAULTABLE OPTIONS IN A MARKOVIAN INTENSITY MODEL OF CREDIT RISK (2008)DEFAULTABLE OPTIONS IN A MARK…Bounded Variation Singular Stochastic Control and Dynkin Game (2005)Bounded Variation Singular St…Optimal derivatives design under dynamic risk measures (2004)Optimal derivatives design un…Free lunch and arbitrage possibilities in a financial market model with an insider (2001)Free lunch and arbitrage poss…Donsker-Type Theorem for BSDEs (2001)Donsker-Type Theorem for BSDEsOpen Problems on Backward Stochastic Differential Equations (1999)Open Problems on Backward Sto…The Pricing of Options and Corporate Liabilities (1973)Stochastic Differential Equations and Diffusion Processes (1983)Martingale Methods in Financial Modelling (1997)Mean field games (2007)Asset Prices in an Exchange Economy (1978)Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence (1978)The Dual Theory of Choice under Risk (1987)Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles (2000)Investor Psychology and Asset Pricing (2001)Lifetime Portfolio Selection By Dynamic Stochastic Programming (1969)Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case (1969)An Intertemporal Capital Asset Pricing Model (1973)LIFETIME PORTFOLIO SELECTION BY DYNAMIC STOCHASTIC PROGRAMMING (1975)An equilibrium characterization of the term structure (1977)Theory of Rational Option Pricing (1973)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Modeling Term Structures of Defaultable Bonds (1999)Theory of rational option pricing (2005)A Theory of the Term Structure of Interest Rates (1985)Prospect theory: An analysis of decision under risk (1988)A YIELD‐FACTOR MODEL OF INTEREST RATES (1996)Introductory Econometrics for Finance (2008)The Variance Gamma Process and Option Pricing (1998)Answering the Skeptics: Yes, Standard Volatility Models do Provide Accurate Forecasts (1998)Modeling and Forecasting Realized Volatility (2003)Option pricing: A simplified approach (1979)Good News and Bad News: Representation Theorems and Applications (1981)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Reflected solutions of backward SDE's, and related obstacle problems for PDE's (1997)Backward stochastic differential equations and partial differential equations with quadratic growth (2000)Partial Differential Equations (2010)
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References

  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 1971Optimum consumption and portfolio rules in a continuous-time model5,966 cited
  • 1989Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework4,270 cited
  • 1979Martingales and arbitrage in multiperiod securities markets3,595 cited
  • 1993Dynamic Asset Pricing Theory.2,891 cited
  • 1981Martingales and stochastic integrals in the theory of continuous trading2,837 cited
  • 2005Controlled Markov Processes and Viscosity Solutions2,698 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1998Methods of Mathematical Finance1,939 cited
  • 2008A General Version of the Fundamental Theorem of Asset Pricing (1994)1,568 cited
  • 1988Brownian Motion and Stochastic Calculus1,544 cited
  • 1980Controlled Diffusion Processes1,311 cited
  • 1992Stochastic Differential Utility1,165 cited
  • 1994

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Controlled markov processes and viscosity solutions
1,024 cited

Cited by

  • 2009CASH SUBADDITIVE RISK MEASURES AND INTEREST RATE AMBIGUITY144 cited
  • 2010RISK MEASURES: RATIONALITY AND DIVERSIFICATION120 cited
  • 2004Optimal derivatives design under dynamic risk measures109 cited
  • 2001Donsker-Type Theorem for BSDEs108 cited
  • 2017Reflected BSDEs when the obstacle is not right-continuous and optimal stopping82 cited
  • 2001Free lunch and arbitrage possibilities in a financial market model with an insider76 cited
  • 2014Reflected BSDEs and robust optimal stopping for dynamic risk measures with jumps61 cited
  • 2009Bid-ask dynamic pricing in financial markets with transaction costs and liquidity risk54 cited
  • 1999Open Problems on Backward Stochastic Differential Equations53 cited
  • 2019Optimal stopping with f -expectations: The irregular case49 cited
  • 2016Generalized Dynkin games and doubly reflected BSDEs with jumps42 cited
  • 2010About the Pricing Equations in Finance42 cited
  • 2008DEFAULTABLE OPTIONS IN A MARKOVIAN INTENSITY MODEL OF CREDIT RISK42 cited
  • 2017Game Options in an Imperfect Market with Default40 cited
  • 2009Generalized reflected BSDEs driven by a Lévy process and an obstacle problem for PDIEs with a nonlinear Neumann boundary condition39 cited
  • 2005Bounded Variation Singular Stochastic Control and Dynkin Game34 cited