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Continuous-Time Methods in Finance: A Review and an Assessment

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  • Suresh M. Sundaresan

    (Graduate School of Business, Columbia University, New York)

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    Abstract

    I survey and assess the development of continuous-time methods in finance during the last 30 years. The subperiod 1969 to 1980 saw a dizzying pace of development with seminal ideas in derivatives securities pricing, term structure theory, asset pricing, and optimal consumption and portfolio choices. During the period 1981 to 1999 the theory has been extended and modified to better explain empirical regularities in various subfields of finance. This latter subperiod has seen significant progress in econometric theory, computational and estimation methods to test and implement continuous-time models. Capital market frictions and bargaining issues are being increasingly incorporated in continuous-time theory. Copyright The American Finance Association 2000.

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    Bibliographic Info

    Article provided by American Finance Association in its journal The Journal of Finance.

    Volume (Year): 55 (2000)
    Issue (Month): 4 (08)
    Pages: 1569-1622

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    Handle: RePEc:bla:jfinan:v:55:y:2000:i:4:p:1569-1622

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    Cited by:
    1. James E. Griffin & Mark F.J. Steel, 2002. "Inference With Non-Gaussian Ornstein-Uhlenbeck Processes for Stochastic Volatility," Econometrics 0201002, EconWPA, revised 04 Apr 2003.
    2. Adriana Breccia, 2004. "Formal Bankruptcy: Strategic Debt Service with Senior and Junior Creditors," Birkbeck Working Papers in Economics and Finance 0411, Birkbeck, Department of Economics, Mathematics & Statistics.
    3. Mensink, Paul, 2004. "A comment on "An arbitrage-free approach to quasi-option value" by Coggins and Ramezani," Economics Working Papers 2004,06, Christian-Albrechts-University of Kiel, Department of Economics.
    4. A. Hurn & J. Jeisman & K. Lindsay, 2007. "Teaching an Old Dog New Tricks: Improved Estimation of the Parameters of Stochastic Differential Equations by Numerical Solution of the Fokker-Planck Equation," NCER Working Paper Series 9, National Centre for Econometric Research.
    5. George Skiadopoulos & Dimitris Psychoyios, 2006. "Implied Volatility Process: Evidence from the Volatility Derivatives Markets," Working Papers wpn06-17, Warwick Business School, Finance Group.
    6. Chang, Jinyuan & Chen, Songxi, 2011. "On the Approximate Maximum Likelihood Estimation for Diffusion Processes," MPRA Paper 46279, University Library of Munich, Germany.
    7. Stan Hurn & J.Jeisman & K.A. Lindsay, 2006. "Teaching an old dog new tricks: Improved estimation of the parameters of SDEs by numerical solution of the Fokker-Planck equation," Stan Hurn Discussion Papers 2006-01, School of Economics and Finance, Queensland University of Technology.
    8. René Garcia & Eric Ghysels & Éric Renault, 2004. "The Econometrics of Option Pricing," CIRANO Working Papers 2004s-04, CIRANO.
    9. Thuraisamy, Kannan S. & Gannon, Gerard L. & Batten, Jonathan A., 2008. "The credit spread dynamics of Latin American euro issues in international bond markets," Journal of Multinational Financial Management, Elsevier, vol. 18(4), pages 328-345, October.
    10. Stan Hurn & J.Jeisman & K.A. Lindsay, 2006. "Seeing the wood for the trees: A critical evaluation of methods to estimate the parameters of stochastic differential equations," Stan Hurn Discussion Papers 2006, School of Economics and Finance, Queensland University of Technology.
    11. Basak, Suleyman & Pavlova, Anna, 2003. "Monopoly Power And The Firm'S Valuation: A Dynamic Analysis Of Short Versus Long-Term Policies," Working papers 4234-01, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    12. Chen, Songxi & Peng, Liang & Yu, Cindy, 2013. "Parameter Estimation and Model Testing for Markov Processes via Conditional Characteristic Functions," MPRA Paper 46273, University Library of Munich, Germany.
    13. Stan Hurn & J.Jeisman & K.A. Lindsay, 2006. "Seeing the Wood for the Trees: A Critical Evaluation of Methods to Estimate the Parameters of Stochastic Differential Equations. Working paper #2," NCER Working Paper Series 2, National Centre for Econometric Research.
    14. Basak, Suleyman & Pavlova, Anna, 2004. "Monopoly Power and the Firm€ٳ Valuation:," Working papers 4234-01, Massachusetts Institute of Technology (MIT), Sloan School of Management.
    15. Franklin Allen, 2001. "Do Financial Institutions Matter?," Center for Financial Institutions Working Papers 01-04, Wharton School Center for Financial Institutions, University of Pennsylvania.
    16. Dotsis, George & Psychoyios, Dimitris & Skiadopoulos, George, 2007. "An empirical comparison of continuous-time models of implied volatility indices," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3584-3603, December.

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