Computational Methods in Financial Mathematics
How randomness becomes a price.
An interactive retelling of LSE’s ME200, from coin flips and congruential generators to Monte Carlo, binomial trees, and the road to Black–Scholes. Math you can touch, proofs you can step through, simulations that run as you read.
Enter the playgroundAccess for the ME200 community, via LSE ID
- 01Probability and pebble world
- 02Random variables and distributions
- 03Expectation and variance
- 04Generating random numbers I
- 05Generating random numbers II
- 06Monte Carlo integration
- 07The one-period binomial model
- 08The multiperiod binomial model I
- 09The multiperiod binomial model II
- 10Black–Scholes as an expectation
- 11Variance reduction
- 12Applications and outlook