# Quantitative Finance Collector is a blog on Quantitative finance analysis, financial engineering methods in mathematical finance focusing on derivative pricing, quantitative trading and quantitative risk management. Random thoughts on financial markets and personal staff are posted at the sub personal blog.

Nov
27

Derivative price can be calculated either by analytic formula like Black Scholes model, or by numerical solution, for instance, solving paritial difference equation, Monte carlo simulation, binomial tree, etc. A lot of people are not aware of this simple trick to avoid oscillation in binomial trees. Oscillation might become dangerous when calculating Greeks via numerical differentiation. Here's the trick. E.g., for American options, just replace the last step in the binomial tree with the closed-form Black-Scholes formula.

http://leippold.googlepages.com/matlab for details.

http://leippold.googlepages.com/matlab for details.