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 had a hard time trying to follow what you are actually suggesting, since you seem to be mixing terminology IMO, and your thesis is not very clear.
However, I will attempt to decipher and humbly comment from my interpretation.
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)
If the value of the VR indicates it is a non-random walk process, generally that implies it is a mean reverting process (VR<1) or a trending process (VR>1). Intentionally adding time series data to force it to revert to its mean, (if your VR test has already classified it is a mean reverting process) is not the same as forcing the VR back to one (random walk state) . If your VR test indicates it is mean reverting, and you believe this process will continue into the near future, then you should simply expect it to revert to its expected value (and bet according to your expectation).
3. Try this for different timeframes and on average you get some abnormal returns.
In theory, you could come up with many hypothetical scenarios that would have outperforming returns. The problem is that conjecture does not equate to fact.
However, if your research demonstrates to you that prices are mean-reverting, than rigorously (emphasis on rigorous) back-test and forward-test that hypothesis on the instruments that demonstrated that behavior, and devise a strategy to profit from it.
There are plenty of ways to argue that markets are random or not; which further lead to many more discussions about the actual definition of random (unfortunately, there are also many classifications of randomness, which leads to proliferation of confusion on these types of threads). But, generally speaking, I tend to agree with Brandon and Maestro's comments on approaching the markets; It's best to assume that markets are random in the simple sense that you should not try to predict the future outcome with any type of certainty, and devise a way to profit under that assumption.
Cheers