Experimentation in Art & non-deterministic grammars

One of my favourite abstract painters is Richard Diebenkorn. Click here to see an Art Blog which has a post on his most famous Ocean Park Series. Click here for a link to a blog showing one of the Dibenkorn's canvases in an NY apartment. In these sorts of works it is fascinating how you can see … Continue reading Experimentation in Art & non-deterministic grammars

Intuition for the forward FX equation

Every quant knows the expression that defines a forward FX rate on date t with maturity T: where B_f is the foreign discount factor and B_d is the domestic discount factor. But what is the best way to explain this intuitively? Here is my suggestion. Let's pick an example pair, say EUR and CHF, and see … Continue reading Intuition for the forward FX equation

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