Liron comments on A proposed inefficiency in the Bitcoin markets - Less Wrong

3 Post author: Liron 27 December 2013 03:48AM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (138)

You are viewing a single comment's thread. Show more comments above.

Comment author: Vaniver 27 December 2013 04:25:12AM *  22 points [-]

I mean Bitcoin's past prices don't look much like a random walk. They look more like a random walk on a log scale. If today's price is $1000, then tomorrow's price is equally likely to be $900 or $1111. So if I buy $1000 of Bitcoin today, I expect to have 0.5($900) + 0.5($1111) = $1005.50 tomorrow.

If you were a quant, you would know that random walks on a log scale (geometric Brownian motion) are what people normally use for asset prices. It's what's beneath Black-Scholes, for example. An additive random walk can go negative, which prices can't, but a log random walk is always positive.

(Also note that the fact that the EV is higher tomorrow than today isn't that meaningful, because of time discounting- if the EV tomorrow is the same as the EV today in nominal terms, you should sell and buy something that's expected to go up. How does the expected future growth rate compare to other opportunities?)

Comment author: Liron 27 December 2013 08:16:38AM *  6 points [-]

If you were a quant, you would know that random walks on a log scale (geometric Brownian motion) are what people normally use for asset prices. It's what's beneath Black-Scholes, for example.

Ok, I admit I was ignorant of this. I just observed that the graph in the Wikipedia article for "Random Walk Hypothesis" was linear-scale. Thanks.

Comment author: ChristianKl 27 December 2013 03:33:10PM 4 points [-]

What made you believe that the Wikipedia version of one article gives you an accurate understanding of the complex formulas and computer models that today's quants use?

Comment author: Liron 27 December 2013 09:25:26PM 0 points [-]

Why I wrote the article:

  1. It's plausible that quants' methodology breaks down in sufficiently unusual markets. In particular, markets with huge volatility.

  2. I want to propose the object-level idea that efficient markets should show a drag on price movement with respect to expected-value movement.

Comment author: ChristianKl 28 December 2013 12:44:22PM 1 point [-]

It's plausible that quants' methodology breaks down in sufficiently unusual markets. In particular, markets with huge volatility.

I would doubt that there aren't other markets with huge volatility. Certain options are probably high votilite right after related news items get posted.

On the other hand it might very well be possible that there are effects that you can find. There are quants that trade bitcoin but it's not a big market from a quants perspective

It might very well be that the particular trading algorithm that mtgox uses creates market effects that usual markets don't which are predictable when you throw the right math at it.

Personally akrasia was the only reason why I didn"t invest into bitcoin 9 months ago. I think that while it was possible that bitcoin might lose all it's value, the chances that it would get a multiptude of it"s value where high enough to counteract it.