Building and Investment Portfolio Using the Kelly Criterion
DOI:
https://doi.org/10.18559/kk2tjh98Keywords:
Investing, Financial markets, Stock exchange, ProfitAbstract
This article describes the issue of financial management, that is the way in which an investor decides how much to put into various investments. If an investor uses a strategy with positive expectations then correct management determines whether the investor will achieve a profi t or not and, if so, how much it will be. Th e first part of the article analyses the case of using a strategy in the market in which an investor can make a fixed profi t or fixed loss. Th e problem is how investor should manage their investments in order to maximize their value. Th e second section describes the consequences of an investor using this method of asset management. The third section describes the problem of maximizing wealth through managing market portfolio size when the profi t or loss on a single investment can have multiple values, and provides a practical example of the use of such an approach.
Downloads
References
Anderson, J.A., Faff , R.W., 2004, Maximizing Futures Returns Using Fixed Fraction Allocation, Applied Financial Economics, no. 14(15), s. 1067-1073.
View in Google Scholar
Breiman, L., 1961, Optimal Gambling Systems for Favorable Games, Fourth Berkeley Symposium on Probability and Statistics, no. 1, s. 63-78.
View in Google Scholar
Browkin, J., 1968, Wybrane zagadnienia algebry, PWN, Warszawa.
View in Google Scholar
Brown, C.K., Reilly, F.K., 2001, Analiza inwestycji i zarządzanie portfelem, t. 1, tłum. A. Nowak, Polskie Wydawnictwo Ekonomiczne, Warszawa.
View in Google Scholar
Browne, S., 2000, Can You do Better Th an Kelly in the Short Run, Finding the Edge: Mathematical and Quantitative Analysis of Gambling. Reno: University of Nevada, Reno Bureau of Business, Chapter 12, s. 215-231.
View in Google Scholar
Hakansson, N.H., Miller, B.L., 1975, Compound - Return Mean - Variance Efficient Portfolios Never Risk Ruin, Management Science, no. 22, s. 391-400.
View in Google Scholar
Kelly, J.L., 1956, A New Interpretation of Information Rate, Bell System Tech. J., vol. 35, s. 917-926.
View in Google Scholar
Leibfarth, L., 2006, Measuring risk, Technical Analysis of Stocks & Commodities, no. 24(12), s. 20-26.
View in Google Scholar
Th orpe, E.O., 1969, Optimal Gambling System for Favorable Games, Review of International Statistical Instutitute, vol. 37, no. 3, s. 273-293.
View in Google Scholar
Th orpe, E.O., 2007, Th e Kelly Criterion in Blackjack, Sports Beating and the Stock Market, Edward O. Thorpe & Associates, Newport Beach.
View in Google Scholar
Vince, R., 1990, Portfolio Managment Formulas: Mathematical Trading Methods for the Futures, Options, and Stock Markets, John Willey & Sons, New York.
View in Google Scholar
Ziemba, B., 2005, Good and Bad Properties of the Kelly Criterion, Wilmott Magazine, s. 6-9.
View in Google Scholar
