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MINIMAX POLICIES FOR SELLING AN ASSET AND DOLLAR AVERAGING 393<br />

The question arises as to why sellers might not act as if they can repurchase. One<br />

answer is that they may not consider taking advantage of every uptick and downtick<br />

in price as a realistic alternative. Therefore, not having done so causes little regret.<br />

On the other hand, missing a major turn in the market, given a decision to convert an<br />

asset, is cause for considerable unhappiness. Another answer may be transaction costs<br />

which might substantially lower the expected value of such a policy. Regret remains<br />

an elusive psychological fact. The hope is that this paper has shown that it can be neglected<br />

only at the peril of an incomplete understanding of behavior under risk.<br />

References<br />

1. BAOHELIEB, L., Theory of Speculation (translation of 1900 Trench edition), in Cootner, P. H.,<br />

Editor, The Random Character of Stock Market Prices, MIT Press, Cambridge, 1964.<br />

2. BOBCH, K., The Economics of Uncertainty, Princeton Press, Princeton, N. J., 1968.<br />

. 3. COTTLE, S. C. AND WHITMAN, W. T., Investment Timing: The Formula Plan Approach, McGraw-<br />

Hill, New York, 1953.<br />

4. HAYES, R. H., "Optimal Strategies for Divestiture," Journal of the Operations Research<br />

Society of America, (March-April 1969), pp. 292-310.<br />

5. IGLEHART, D. L., "Capital Accumulation and Production for the Firm: Optimal Dynamic<br />

Policies," Management Science, Vol. 12, No. 3 (November 1965), pp. 193-205.<br />

6. KARLIN, S., "Stochastic Models and Optimal Policy for Selling an Asset," Chapter 9 in Studies<br />

in Applied Probability and Management Science, Arrow, Karlin and Scarf, Eds., Stanford<br />

University Press, Stanford, California, 1962.<br />

7. MARKOWITZ, H. M., Portfolio Selection: Efficient Diversification of Investments, John Wiley &<br />

Sons, Inc., New York, 1959.<br />

8. MOSSIN, J., "Optimal Multiperiod Portfolio Policies," Journal of Business, (April 1968), pp.<br />

215-229.<br />

9. PTE, G., "Portfolio Selection and Security Prices," Review of Economics and Statistics, (February<br />

1967), pp. 111-115.<br />

10. SAMTTELSON, P., "Rational Theory of Warrant Pricing," Industrial Management Review,<br />

Vol. 6, (1965), pp. 13-31.<br />

11. TAYLOR, H., "Evaluating a Call Option and Optimal Timing Strategy in the Stock Market,"<br />

Management Science, Vol. 14, No. 1 (September 1967), pp. 111-120.<br />

12. TOBIN, J., "The Theory of Portfolio Selection," in Hahn and Brechling (Eds.), The Theory<br />

of Interest Rates, Macmillan, London, 1965.<br />

3. MODELS OF OPTION STRATEGY 591

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