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Option Pricing Under Incompleteness and Stochastic Volatility
16 references·16 citing·35 second hopsampled
Option Pricing Under Incompleteness and Stochastic Volatility (1992)Option Pricing Under Incompleteness and S…Option hedging for semimartingales (1991)Option hedging for semimartin…Martingale and Duality Methods for Utility Maximization in an Incomplete Market (1991)Martingale and Duality Method…Continuous-Time Finance. (1991)Continuous-Time Finance.Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case (1991)Consumption and portfolio pol…Optimal consumption and portfolio policies when asset prices follow a diffusion process (1989)Optimal consumption and portf…Brownian Motion and Stochastic Calculus (1988)Brownian Motion and Stochasti…The Pricing of Options on Assets with Stochastic Volatilities (1987)The Pricing of Options on Ass…Option values under stochastic volatility: Theory and empirical estimates (1987)Option values under stochasti…Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application (1987)Option Pricing when the Varia…Optimal Portfolio and Consumption Decisions for a “Small Investor” on a Finite Horizon (1987)Optimal Portfolio and Consump…Explicit Solution of a General Consumption/Investment Problem (1986)Explicit Solution of a Genera…Martingales and arbitrage in multiperiod securities markets (1979)Martingales and arbitrage in …The Pricing of Options and Corporate Liabilities (1973)The Pricing of Options and Co…An Intertemporal Capital Asset Pricing Model (1973)An Intertemporal Capital Asse…Optimum consumption and portfolio rules in a continuous-time model (1971)Optimum consumption and portf…Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case (1969)Lifetime Portfolio Selection …Finite-Element Methods (2012)Finite-Element MethodsRisk Minimizing Option Pricing in a Semi-Markov Modulated Market (2009)Risk Minimizing Option Pricin…Pricing Options and Variance Swaps in Markov-Modulated Brownian Markets (2007)Pricing Options and Variance …On changes of measure in stochastic volatility models (2006)On changes of measure in stoc…Comparison of Option Prices in Semimartingale Models (2006)Comparison of Option Prices i…A Fair Pricing Approach to Weather Derivatives (2004)A Fair Pricing Approach to We…A semimartingale BSDE related to the minimal entropy martingale measure (2003)A semimartingale BSDE related…Utility-Based Derivative Pricing in Incomplete Markets (2002)Utility-Based Derivative Pric…An Autoregressive Conditional Binomial Option Pricing Model (2002)An Autoregressive Conditional…Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis (2001)Option pricing under linear a…OPTION PRICING FOR INCOMPLETE MARKETS VIA STOCHASTIC OPTIMIZATION: TRANSACTION COSTS, ADAPTIVE CONTROL AND FORECAST (2001)OPTION PRICING FOR INCOMPLETE…Conservative delta hedging (2000)Conservative delta hedgingStochastic volatility, smile & asymptotics (1999)Stochastic volatility, smile …Risk-minimizing hedging strategies under restricted information: The case of stochastic volatility models observable only at discrete random times (1999)Risk-minimizing hedging strat…A minimality property of the minimal martingale measure (1999)A minimality property of the …Principles for modelling financial markets (1996)Principles for modelling fina…Aspects of the Theory of Risk-Bearing. (1966)LIFETIME PORTFOLIO SELECTION BY DYNAMIC STOCHASTIC PROGRAMMING (1975)Risk Aversion in the Small and in the Large (1976)Predicting Excess Stock Returns Out of Sample: Can Anything Beat the Historical Average? (2007)Lifetime Portfolio Selection By Dynamic Stochastic Programming (1969)An equilibrium characterization of the term structure (1977)A Theory of the Term Structure of Interest Rates (1985)The Cost of Capital, Corporation Finance and the Theory of Investment (1958)CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* (1964)ON THE PRICING OF CORPORATE DEBT: THE RISK STRUCTURE OF INTEREST RATES* (1974)Theory of the firm: Managerial behavior, agency costs and ownership structure (1976)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Theory of rational option pricing (2005)Does Option Compensation Increase Managerial Risk Appetite? (2000)Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices (2001)Brownian Motion and Stochastic Calculus (2007)EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* (1970)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)Conditional Heteroskedasticity in Asset Returns: A New Approach (1991)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)Measuring and Testing the Impact of News on Volatility (1993)Introductory Econometrics for Finance (2008)Consumption and Portfolio Decisions when Expected Returns are Time Varying (1999)The asymptotic elasticity of utility functions and optimal investment in incomplete markets (1999)Strategic Asset Allocation (2002)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)Backward Stochastic Differential Equations in Finance (1997)An Engine, Not a Camera (2006)A general version of the fundamental theorem of asset pricing (1994)Arbitrage Theory in Continuous Time (1998)Term Structures of Credit Spreads with Incomplete Accounting Information (2001)
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References

  • 1973The Pricing of Options and Corporate Liabilities29,064 cited
  • 1973An Intertemporal Capital Asset Pricing Model6,557 cited
  • 1971Optimum consumption and portfolio rules in a continuous-time model5,966 cited
  • 1969Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case5,199 cited
  • 1987The Pricing of Options on Assets with Stochastic Volatilities3,864 cited
  • 1979Martingales and arbitrage in multiperiod securities markets3,595 cited
  • 1991Continuous-Time Finance.1,788 cited
  • 1989Optimal consumption and portfolio policies when asset prices follow a diffusion process1,613 cited
  • 1988Brownian Motion and Stochastic Calculus1,544 cited
  • 1987Optimal Portfolio and Consumption Decisions for a “Small Investor” on a Finite Horizon1,106 cited
  • 1987Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application978 cited
  • 1987Option values under stochastic volatility: Theory and empirical estimates904 cited
  • 1991Martingale and Duality Methods for Utility Maximization in an Incomplete Market797 cited
  • 1991Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case436 cited
  • 1986

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Explicit Solution of a General Consumption/Investment Problem
387 cited
  • 1991Option hedging for semimartingales379 cited
  • Cited by

    • 1996Principles for modelling financial markets88 cited
    • 1999Stochastic volatility, smile & asymptotics71 cited
    • 2006Comparison of Option Prices in Semimartingale Models61 cited
    • 2002Utility-Based Derivative Pricing in Incomplete Markets57 cited
    • 2004A Fair Pricing Approach to Weather Derivatives54 cited
    • 2006On changes of measure in stochastic volatility models51 cited
    • 2001Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis49 cited
    • 1999A minimality property of the minimal martingale measure48 cited
    • 2012Finite-Element Methods46 cited
    • 2000Conservative delta hedging45 cited
    • 2003A semimartingale BSDE related to the minimal entropy martingale measure45 cited
    • 1999Risk-minimizing hedging strategies under restricted information: The case of stochastic volatility models observable only at discrete random times42 cited
    • 2009Risk Minimizing Option Pricing in a Semi-Markov Modulated Market36 cited
    • 2002An Autoregressive Conditional Binomial Option Pricing Model35 cited
    • 2007Pricing Options and Variance Swaps in Markov-Modulated Brownian Markets30 cited
    • 2001OPTION PRICING FOR INCOMPLETE MARKETS VIA STOCHASTIC OPTIMIZATION: TRANSACTION COSTS, ADAPTIVE CONTROL AND FORECAST30 cited