Hostname: page-component-7479d7b7d-k7p5g Total loading time: 0 Render date: 2024-07-08T16:59:14.294Z Has data issue: false hasContentIssue false

A General Test of a Filter Effect

Published online by Cambridge University Press:  06 April 2009

Extract

This paper develops an exact theoretical test of the presence or absence of a filter effect for a portfolio of securities and a general number of different filter sizes. It is a natural development from Praetz [8], which obtained exact expressions for the mean and variance of rates of return of the investment strategies under filter tests assuming the underlying stochastic process is a random walk. These expressions showed that expected returns from filter strategies are, in fact, less than the return from a buy-andhold alternative with which filter returns are usually compared.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Aitchison, J., and Brown, J.. The Lognormal Distribution. Cambridge University Press (1957).Google Scholar
[2]Ball, R.Filter Rules: Interpretation of Market Efficiency, Experimental Problems and Australian Evidence.” Department of Commerce, University of Queensland (1974).Google Scholar
[3]Courant, R.Differential and Integral Calculus, Vol. 1, 2nd ed.Blackie, London (1957).Google Scholar
[4]Fama, E. F., and Blume, M.. “Filter Rules and Stock Market Trading.” Journal of Business, Vol. 40 (1966), pp. 226–41.CrossRefGoogle Scholar
[5]Leuthold, R.Random Walks and Price Trends: The Live Cattle Futures Market.” Journal of Finance, Vol. 27 (1972), pp. 879–89.CrossRefGoogle Scholar
[6]Praetz, P. D.Australian Share Prices and the Random Walk Hypothesis.” Journal of Statistics, Vol. 11 (1969), pp. 123–39.Google Scholar
[7]Praetz, P. D.. “The Distribution of Share Price Changes.” Journal of Business, Vol. 45 (1972), pp. 4955.CrossRefGoogle Scholar
[8]Praetz, P. D.. “Rates of Return on Filter Tests.” Journal of Finance, Vol. 31 (03 1976).CrossRefGoogle Scholar
[9]Praetz, P. D.. “On the Methodology of Testing for Independence in Futures Prices: Comment.” Journal of Finance, Vol. 31 (06 1976).CrossRefGoogle Scholar
[10]Samuelson, P.Proof that Properly Discounted Present Values of Assets Vibrate Randomly.” Bell Journal of Economics and Management Science, Vol. 4 (1973), pp. 369–74.Google Scholar
[11]Stevenson, R., and Bear, R.. “Commodity Futures: Trends or Random Walks.” Journal of Finance, Vol. 25 (1970), pp. 6587.CrossRefGoogle Scholar