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In Honor of the Nobel Laureates Robert C. Merton and Myron S. Scholes: A Partial Differential Equation That Changed the World

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Author Info
Robert A. Jarrow

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Abstract

The Nobel Prize was given to Robert C. Merton and Myron S. Scholes for discovering a new method for determining the value of an option. This is known as the Black-Merton-Scholes option pricing formula. The purpose of this essay is to explain why the Black-Merton-Scholes option pricing formula is so important to the finance profession, the economics profession, the financial industry, and society at large. This is done by studying the history of the formula's development, the economic logic underlying the formula's derivation, and the formula's ramifications for the various professions.

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Publisher Info
Article provided by American Economic Association in its journal Journal of Economic Perspectives.

Volume (Year): 13 (1999)
Issue (Month): 4 (Fall)
Pages: 229-248
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Handle: RePEc:aea:jecper:v:13:y:1999:i:4:p:229-248

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  1. Baldwin, Richard & Krugman, Paul, 1989. "Persistent Trade Effects of Large Exchange Rate Shocks," The Quarterly Journal of Economics, MIT Press, vol. 104(4), pages 635-54, November. [Downloadable!] (restricted)
    Other versions:
  2. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September. [Downloadable!] (restricted)
  3. Myers, Stewart C. & Majluf, Nicolás S., 1945-, 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Working papers 1523-84., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
  4. Scholes, Myron & Williams, Joseph, 1977. "Estimating betas from nonsynchronous data," Journal of Financial Economics, Elsevier, vol. 5(3), pages 309-327, December. [Downloadable!] (restricted)
  5. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June. [Downloadable!] (restricted)
  6. Merton, Robert C, 1976. "The Impact on Option Pricing of Specification Error in the Underlying Stock Price Returns," Journal of Finance, American Finance Association, vol. 31(2), pages 333-50, May. [Downloadable!] (restricted)
  7. Ross, Stephen A, 1976. "Options and Efficiency," The Quarterly Journal of Economics, MIT Press, vol. 90(1), pages 75-89, February. [Downloadable!] (restricted)
  8. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
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  9. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June. [Downloadable!] (restricted)
  10. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166. [Downloadable!] (restricted)
  11. Miller, Merton H. & Scholes, Myron S., 1978. "Dividends and taxes," Journal of Financial Economics, Elsevier, vol. 6(4), pages 333-364, December. [Downloadable!] (restricted)
  12. Merton, Robert C, 1998. "Applications of Option-Pricing Theory: Twenty-Five Years Later," American Economic Review, American Economic Association, vol. 88(3), pages 323-49, June. [Downloadable!] (restricted)
  13. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December. [Downloadable!] (restricted)
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  14. Black, Fischer & Scholes, Myron, 1974. "The effects of dividend yield and dividend policy on common stock prices and returns," Journal of Financial Economics, Elsevier, vol. 1(1), pages 1-22, May. [Downloadable!] (restricted)
  15. Jarrow, Robert A., 1994. "Derivative Security Markets, Market Manipulation, and Option Pricing Theory," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(02), pages 241-261, June. [Downloadable!]
  16. Jarrow, Robert A & Turnbull, Stuart M, 1995. " Pricing Derivatives on Financial Securities Subject to Credit Risk," Journal of Finance, American Finance Association, vol. 50(1), pages 53-85, March. [Downloadable!] (restricted)
  17. Robert C. Merton & Zvi Bodie, 1992. "On the Management of Financial Guarantees," Financial Management, Financial Management Association, vol. 21(4), Winter.
  18. Jarrow, Robert A. & van Deventer, Donald R., 1998. "The arbitrage-free valuation and hedging of demand deposits and credit card loans," Journal of Banking & Finance, Elsevier, vol. 22(3), pages 249-272, March. [Downloadable!] (restricted)
  19. Jensen, Michael C. & Meckling, William H., 1976. "Theory of the firm: Managerial behavior, agency costs and ownership structure," Journal of Financial Economics, Elsevier, vol. 3(4), pages 305-360, October. [Downloadable!] (restricted)
  20. Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring. [Downloadable!] (restricted)
  21. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144. [Downloadable!] (restricted)
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  22. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
  23. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August. [Downloadable!] (restricted)
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