Timeline for How much one can earn on a white noise ?
Current License: CC BY-SA 3.0
8 events
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Jun 1, 2013 at 14:49 | comment | added | Alexander Chervov | Steven trend plus noise model is approximation can be used to catch trends. There is no model which can be used universally. | |
Jun 1, 2013 at 13:30 | comment | added | Steven Landsburg | Joel: There are two reasons to be skeptical of the "trend plus noise" model, neither of them strictly mathematical. First, it's almost impossible to incorporate this model into an equilibrium model in which profit-maximizing traders respond to a price process and thereby change that process. (More prosaically, this model allows for unexploited profit opportunities, whereas we ordinarily assume that unexploited profit opportuntities lead to trading behavior that causes those opportunitites to vanish.) The second reason is the empirical evidence from real world financial assets. | |
Jun 1, 2013 at 8:34 | comment | added | Alexander Chervov | @fedja " the conjecture is, indeed, true for every symmetric distribution." please can you say more on that ? I would accept answer proving it. I am very interested. | |
Jun 1, 2013 at 4:24 | comment | added | fedja | As to the original question, the conjecture is, indeed, true for every symmetric distribution. I'm not sure how practical it is to bet on the stock movements according to that model, but gasoline prices seem to follow a law like that lately, so one can try to optimize the average fuel cost and to see if there is a noticeable advantage compared to the usual "refuel when empty" strategy. The extra difficulty there is that while you are fine waiting with the stock, you cannot wait too long between gas tank refills. | |
Jun 1, 2013 at 1:31 | comment | added | Joel David Hamkins | Given the OP's trend+noise idea, do you have an argument for why prices should be modeled as price changes, rather than prices? | |
May 31, 2013 at 19:22 | comment | added | Alexander Chervov | Thank you for your comments, it helps me to improve (hopefully) the question. I sincerely hope you will modify yours answer accordingly. | |
May 31, 2013 at 16:36 | history | edited | Steven Landsburg | CC BY-SA 3.0 |
added 28 characters in body
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May 31, 2013 at 15:53 | history | answered | Steven Landsburg | CC BY-SA 3.0 |