Edgardo said:
some of my fellow students work at banks which got me interested. Does your job involve "financial mathematics" as described on this website http://guava.physics.uiuc.edu/~nigel/finance.html" (for example option pricing)?
More or less. The trouble with that website is that it's a bit outdated. The good/bad news is that there are about a dozen different types of jobs for physicists on Wall Street. Something interesting about mathematical finance is that it's a tiny, tiny part of finance, but finance is so large that it keeps physicists quite strongly employed.
Do you use any of the books cited on the website?
Sort of, but again the website is out of date. Curiously it doesn't contain one of the books which I think is essential reading which is Kuznetsov's "The Complete Guide to Capital Markets" and Fusai and Roncoroni's Implementing Models in Quantitative Finance: Methods and Cases. Also you should look at Springer-Verlag and Wiley Finance since they will get you an idea of the type of problems that you need.
And have you read Derman's "My life as a quant"?
Yes. Interesting book, but again, somewhat out of date. It's a very, very useful book if you look at it was history, but don't take it as a accurate representation of what Wall Street is like right now. One of the larger differences is that these are much. much more heavily computational than they were in the late-1990's. This is bad if you are a string theorist. Good if you are doing computational fluid dynamics.
Just to give one example of how Derman's book is a bit old. No one right now is that interested in modeling complex interest rate derivatives. People are interested right now in modeling negative and zero interest rates and counterparty default. You won't find a book that gives the standard method for doing that, because if there were a standard method for doing it, they wouldn't need you to figure out how to do it. Next year, they'll be interested in something very different.
You mentioned your C++ skills. Is there anything else that can make me interesting for banks?
One big thing is to be a physicist and focus on writing a quality dissertation. There's nothing wrong with being a finance or economics Ph.D. except that if your Ph.D. is in physics, you are going find it much easier to to be a physicist with basic finance knowledge rather than an expert in finance. If you try to turn into an MBA or finance expert, then you'll probably lose the skills that make you interesting to banks and hedge funds.
One other curious thing is that you will be seriously, seriously miserable if you go into finance in order to make lots of money. It's really weird, because once you are in finance, you will make money that most people outside of finance consider to be huge, but because you are constantly meeting people that make even more money, so you end up feeling quite poor. Finance is also a horrible place to be if you like to be on top of the heap, for the same reasons. Also you'll probably end up living in the NYC area, which is both good and bad.
The one thing that would be useful is to read some standard finance texts. There is a huge amount of jargon. It's not that difficult to pick up, and it helps if you know it.
The other thing is to try to *think* about the "big questions." Are there too many investment bankers? Is what you are doing really economically useful? Personally, I think finance is economically useful, and there aren't too many investment bankers, but you have to think about this for yourself. The basic issue is that if you aren't really generating economic value, then you are just part of a bubble, and if you are part of a bubble, you are likely to get smashed.
The reason that you need to think about this for yourself, is that I really don't want to take the moral responsibility for encouraging you to go into a career that is going to blow up in three years. On the other hand, I don't want to the talk the moral responsibility for discouraging you from going into something that is going to boom. So I'll just say that its something that you have to think about.