Ito’s product and quotient rules as described by a trader

Ito's product and quotient rules are a corollary of the Ito lemma, and are one of the  most important parts of the stochastic-calculus toolkit. When I first started working as a quant I managed to find an alternative form for the rules which sits well in a Black-Scholes type of world and corresponds more closely … Continue reading Ito’s product and quotient rules as described by a trader

The power of notation in problem solving

It's trivial when you think about it: good mathematical notation is one way of making a problem easier to solve. In my introduction to advanced probability theory I put emphasis on how probability theory has developed a clever and natural way to describe the processes we deal with. If you think about it some more, … Continue reading The power of notation in problem solving

A fast-moving introduction to advanced probability theory

Here is a link to a PDF doc I wrote a few years back: My fast-moving introduction to Advanced Probability Theory. I was taught undergraduate probability theory by one of the best. Williams's book Probability with Martingales is a popular introduction to advanced probability theory, and was the text I used to learn about the formal theoretical … Continue reading A fast-moving introduction to advanced probability theory