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The Path Integral Approach to Financial Modeling and Options Pricing
16 references·5 citing·28 second hop
The Path Integral Approach to Financial Modeling and Options Pricing (1997)The Path Integral Approach to Financial M…“Options, Futures, and Other Derivatives” (2016)“Options, Futures, and Other …Brownian Motion and Stochastic Calculus (2007)Brownian Motion and Stochasti…Theory of rational option pricing (2005)Theory of rational option pri…Options, Futures and Other Derivatives (2003)Options, Futures and Other De…Option pricing: Mathematical models and computation (1994)Option pricing: Mathematical …Continuous-Time Finance. (1991)Continuous-Time Finance.Continuous-Time Finance. (1991)Continuous-Time Finance.A pricing method for options based on average asset values (1990)A pricing method for options …Brownian Motion and Stochastic Calculus. (1989)Brownian Motion and Stochasti…The American Put Option Valued Analytically (1984)The American Put Option Value…Martingales and stochastic integrals in the theory of continuous trading (1981)Martingales and stochastic in…Martingales and arbitrage in multiperiod securities markets (1979)Martingales and arbitrage in …The valuation of options for alternative stochastic processes (1976)The valuation of options for …The arbitrage theory of capital asset pricing (1976)The arbitrage theory of capit…The Pricing of Options and Corporate Liabilities (1973)The Pricing of Options and Co…On Distributions of Certain Wiener Functionals (1949)On Distributions of Certain W…Local averaged path integration method approach for nonlinear dynamic systems (2018)Local averaged path integrati…GPU computing for accelerating the numerical Path Integration approach (2016)GPU computing for acceleratin…Pricing exotic options in a path integral approach (2006)Pricing exotic options in a p…Hamiltonian and potentials in derivative pricing models: exact results and lattice simulations (2003)Hamiltonian and potentials in…Evaluation of American option prices in a path integral framework using Fourier–Hermite series expansions (1999)Evaluation of American option…EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* (1970)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)The Cost of Capital, Corporation Finance and the Theory of Investment (1958)ON THE PRICING OF CORPORATE DEBT: THE RISK STRUCTURE OF INTEREST RATES* (1974)Option pricing: A simplified approach (1979)The Pricing of Options on Assets with Stochastic Volatilities (1987)CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* (1964)The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets (1965)THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS**This paper is another in a series of interrelated theoretical and statistical studies of corporate financial and investment policies being made under grants from the Rockefeller Foundation, and more recently the Ford Foundation, to the Harvard Business School. The generous support for this work is most gratefully acknowledged. The author is also much indebted to his colleagues Professors Bishop, Christenson, Kahr, Raiffa, and (especially) Schlaifer, for extensive discussion and commentary on an earlier draft of this paper; but responsibility for any errors or imperfections remains strictly his own.[Professor Sharpe's paper, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk” (Journal of Finance, September 1964) appeared after this paper was in final form and on its way to the printers. My first section, which parallels the first half of his paper (with corresponding conclusions), sets the algebraic framework for sections II, III and VI, (which have no counterpart in his paper) and for section IV on the equilibrium prices of risk assets, concerning which our results differ significantly for reasons which will be explored elsewhere. Sharpe does not take up the capital budgeting problem developed in section V below.] (1975)Financial Intermediation and Delegated Monitoring (1984)The Cross-Section of Expected Stock Returns (1992)Common risk factors in the returns on stocks and bonds (1993)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)An Engine, Not a Camera (2006)Facts and Fantasies about Commodity Futures (2006)Introductory Econometrics for Finance (2008)Arbitrage Theory in Continuous Time (1998)A critical review on supply chain risk – Definition, measure and modeling (2014)Answering the Skeptics: Yes, Standard Volatility Models do Provide Accurate Forecasts (1998)Modeling and Forecasting Realized Volatility (2003)Controlled Markov Processes and Viscosity Solutions (2005)Good News and Bad News: Representation Theorems and Applications (1981)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Optimal consumption and portfolio policies when asset prices follow a diffusion process (1989)Backward Stochastic Differential Equations in Finance (1997)Theory of the firm: Managerial behavior, agency costs and ownership structure (1976)
this work references cited by second hop

References

  • 1973The Pricing of Options and Corporate Liabilities29,064 cited
  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 2005Theory of rational option pricing7,161 cited
  • 1976The arbitrage theory of capital asset pricing7,081 cited
  • 2016“Options, Futures, and Other Derivatives”5,007 cited
  • 2003Options, Futures and Other Derivatives3,864 cited
  • 1979Martingales and arbitrage in multiperiod securities markets3,595 cited
  • 1976The valuation of options for alternative stochastic processes2,935 cited
  • 1981Martingales and stochastic integrals in the theory of continuous trading2,837 cited
  • 1991Continuous-Time Finance.1,788 cited
  • 1989Brownian Motion and Stochastic Calculus.921 cited
  • 1994Option pricing: Mathematical models and computation805 cited
  • 1984The American Put Option Valued Analytically728 cited
  • 1949On Distributions of Certain Wiener Functionals692 cited
  • 1991Continuous-Time Finance.647 cited
  • 1990A pricing method for options based on average asset values628 cited

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Cited by

  • 2016GPU computing for accelerating the numerical Path Integration approach43 cited
  • 1999Evaluation of American option prices in a path integral framework using Fourier–Hermite series expansions36 cited
  • 2003Hamiltonian and potentials in derivative pricing models: exact results and lattice simulations35 cited
  • 2006Pricing exotic options in a path integral approach28 cited
  • 2018Local averaged path integration method approach for nonlinear dynamic systems13 cited