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Question 2 has a straight forward solution using a differential equation approach: $\mathbb{P}(\tau^\mu_a<\infty)=1$ The following link (pp. 21 f.) explains it nicely (and is also very detailed) - could not write it much better. If you were to google "brownian motion linear boundary" you will get additional results. Also if you are generally interested ...

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Agree, a little broad topic. There are sites that use quant to pick stocks. fotatah.com is an example of site. It all depends on your goals (academic, trading, etc.)

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Figured I'd throw in one that I've recently found as well: The Financial Engineer Has a lot of interesting articles, videos, papers, etc.

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It depends the kind of information you look for. Questions and answer. This web site is really the best I know on quant finance. You can browse "tags" and go the the associated wiki pages to have summarized information. Wilmott Forum is not that bad; Nuclear Phynance is good too. Generic knowledge. It depends on what area on finance you are interested ...

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Besides this site which in my opinion has a huge adventage on how the questions and answers are presented, two major players come to mind. The Wilmott Forum And the QuantNet-Community I would say QuantNet is more on the educational and job-search side. You will find a lot of resources with respect to interview question and acedemic master programms. ...

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