Quote from Thumama:
Hi..
Assume that the market is efficient and that prices move randomly.
1. For any stock, test the randomness of its price moves. There are many tests for randomness: for example, use the variance ratio test.
2. If the value of the variance ratio test indicates a nonrandom behavior of the time series, extend the time series by adding values ( future prices) that will force the variance ratio test to indicate a random walk. (revert to its expected value)
3. Try this for different timeframes and on average you get some abnormal returns.
I am just thinking..
Any thought?
I am not at all sure i understand your post above, but if the success of your intended method depends on the expectation that the variance of price over one time period be equal to the variance of price in another time period, then i would think you will be disappointed in the results of say the the F-test applied to these to variances. In fact i think you will discover that the F-test values are themselves distributed, and that the real movement of price is not entirely random walk, even though the movement of markets in academic textbooks may very well be..
In other words, i would be rather astounded if you were able to predict future price movement magnitude (even if not the direction) by the amount of additional variance you would have to introduce to one time period to force it to have a variance equal to that of another.
Please do keep us posted.