There might be some high-effort methods - insider trading based on reading the minds of CEOs, for example - but barring just Imperius'ing Bill Gates into giving you all his money (which would be widely publicized) there's only so much they can do.
One can use time-turners so you know what the market will do in advance (making sure that for any given stock you trade in small enough quantities that it won't substantially alter the asking price to avoid messing with time issues).
If magic isn't limited by speed of light issues then one can send trading signals faster (already attempts are made to put computer systems as close as possible to get a jump on slower traders. How much this actually matters is unclear.)
One could apparate to and assassinate people who are in specific corporations or governments, being able to anticipate resulting economic problems and short-sell accordingly.
These are only the most obvious sorts of things, deliberately restricting to those that don't add value to the system.
This is a new thread to discuss Eliezer Yudkowsky’s Harry Potter and the Methods of Rationality and anything related to it. This thread is intended for discussing chapter 97. The previous thread is at nearly 500 comments.
There is now a site dedicated to the story at hpmor.com, which is now the place to go to find the authors notes and all sorts of other goodies. AdeleneDawner has kept an archive of Author’s Notes. (This goes up to the notes for chapter 76, and is now not updating. The authors notes from chapter 77 onwards are on hpmor.com.)
The first 5 discussion threads are on the main page under the harry_potter tag. Threads 6 and on (including this one) are in the discussion section using its separate tag system.
Also: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.
Spoiler Warning: this thread is full of spoilers. With few exceptions, spoilers for MOR and canon are fair game to post, without warning or rot13. More specifically: