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Theory of Finance from the Perspective of Continuous Time

Published online by Cambridge University Press:  19 October 2009

Robert C. Merton
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Extract

It is not uncommon on occasions such as this to talk about the shortcomings in the theory of Finance, and to emphasize how little progress has been made in answering the basic questions in Finance, despite enormous research efforts. Indeed, it is not uncommon on such occasions to attack our basic “mythodology,” particularly the “Ivory Tower” nature of our assumptions, as the major reasons for our lack of progress. Like a Sunday morning sermon, such talks serve many useful functions. For one, they serve to deflate our professional egos. For another, they serve to remind us that the importance of a contribution as judged by our professional peers (the gold we really work for) is often not closely aligned with its operational importance in the outside world. Also, such talks serve to comfort those just entering the field, by letting them know that there is much left to do because so little has been done. While such talks are not uncommon, this is not what my talk is about. Rather, my discussion centers on the positive progress made in the development of a theory of Finance using the continuous-time mode of analysis.

Type
VIII. Distinguished Speaker Series
Information
Journal of Financial and Quantitative Analysis , Volume 10 , Issue 4 , November 1975 , pp. 659 - 674
Copyright
Copyright © School of Business Administration, University of Washington 1975

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References

REFERENCES

[1]Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, vol. 81 (1973), pp. 637–659.CrossRefGoogle Scholar
[2]Black, F. “The Valuation of Option Contracts and a Test of Market Efficiency.” Journal of Finance, vol. 27 (1972), pp. 399–417.CrossRefGoogle Scholar
[3]Cass, D., and Stiglitz, J.. “The Structure of Investor Preferences and Asset Returns, and Separability in Portfolio Allocation: A Contribution to the Pure Theory of Mutual Funds.” Journal of Economic Theory, vol. 2 (1970), pp. 122–160.CrossRefGoogle Scholar
[4]Cox, J., and Ross, S.. “The Pricing of Options for Jump Processes.” Journal of Financial Economics, (forthcoming).Google Scholar
[5]Fama, E. “Efficient Capital Markets: A Review of Theory and Empirical Work.” Journal of Finance, vol. 25 (1970), pp. 383–417.CrossRefGoogle Scholar
[6]Fama, E. “Multiperiod Consumption-Investment Decisions.” American Economic Review, vol. 60 (1970), pp. 163–174.Google Scholar
[7]Fischer, S. “The Demand for Index Bonds.” Journal of Political Economy, vol. 83 (1975), pp. 509–534.CrossRefGoogle Scholar
[8]Ingersoll, J. “A Theoretical and Empirical Investigation of the Dual Purpose Funds: An Application of Contingent Claims Analysis.” Journal of Financial Economics, (forthcoming).Google Scholar
[9]Magill, M., and Constantinides, G.. “Portfolio Selection with Transactions Costs.” Journal of Economic. Theory, (forthcoming).Google Scholar
[10]Merton, R. C. “Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case.” Review of Economics and Statistics, vol. 51 (1969), pp. 247–257.CrossRefGoogle Scholar
[11]Merton, R.C. “Optimum Consumption and Portfolio Rules in a Continuous Time Model.” Journal of Economic Theory, vol. 3 (1971), pp. 373–413.CrossRefGoogle Scholar
[12]Merton, R.C. “Theory of Rational Option Pricing.” Bell Journal of Economics and Management Scienc, vol. 4 (1973), pp. 141–183.Google Scholar
[13]Merton, R.C. “An Intertemporal Capital Asset Pricing Model.” Econometrica, vol. 41 (1973), pp. 867–887.CrossRefGoogle Scholar
[14]Merton, R.C. “Appendix: Continuous-Time Speculative Processes.” In Samuelson, P. A., “Mathematics of Speculative Price,” SIAM Review.Google Scholar
[15]Merton, R.C. “On the Pricing of Corporate Debt: The Risk Structure of Interest Rates.” Journal of Finance, vol. 29 (1974), pp. 449–470.Google Scholar
[16]Merton, R.C. “Option Pricing when Underlying Stock Returns Are Discontinuous.” Journal of Financial Economics, (forthcoming).Google Scholar
[18]Merton, R. C., and Samuelson, P. A.. “Fallacy of the Log-Normal Approximation to Optimal Portfolio Decision-Making over Many Periods.” Journal of Financial Economics, vol. 1 (1974), pp. 67–94.CrossRefGoogle Scholar
[19]Modigliani, F., and Sutch, R.. “Innovations in Interest Rate Policy.” American Economic Review, vol. 56 (1966), pp. 178–197.Google Scholar
[20]Richard, S. “Optimal Consumption, Portfolio and Life Insurance Rules for an Uncertain Lived Individual in a Continuous-Time Model.” Journal of Financial Economics, vol 2 (1975), pp. 187–204.CrossRefGoogle Scholar
[21]Rosenberg, B. and Ohlson, J.. “The Stationary Distribution of Returns and Portfolio Separation in Capital Markets: A Fundamental Contradiction.” University of California, Berkeley (unpublished, 1973).Google Scholar
[22]Rubinstein, M. “The Strong Case for the Generalized Logarithmic Utility Model as the Premier Model of Financial Markets.” W. P. #34, Institute of Business and Economic Research, University of California, Berkeley (1975).Google Scholar
[23]Samuelson, P. A. “Proof that Properly Anticipated Prices Fluctuate Randomly.” Industrial Management Review, vol. 6 (1965), pp. 41–49.Google Scholar
[24]Scheffman, D. “‘Optimal’ Investment under Uncertainty.” University of Western Ontario (unpublished, 1975).Google Scholar
[25]Smith, C. “Option Pricing: A Review.” Journal of Financial Economics, (forthcoming),Google Scholar
[26]Sprenkle, C. “Warrant Prices as Indicators of Expectations and Preferences.” In The Random Character of Stock Market Prices, edited by Cootner, P.. Cambridge: M.I.T. Press, pp. 412–474.Google Scholar
[27]Solnik, B.European Capital Markets. Lexington, Mass: Lexington Books (1973).Google Scholar