Implementing Longstaff-Schwartz Least-Squares Monte Carlo for American Option Pricing
The Longstaff-Schwartz Least-Squares Monte Carlo (LSM) algorithm is the industry-standard method for pricing American and Bermudan options by combining Monte Carlo simulation with regression-based dynamic programming. This article covers the full LSM implementation in Python, basis function selection, multi-dimensional extensions, and practical calibration tips for production use. Practitioners will learn how to apply LSM to vanilla American puts, basket options, Bermudan swaptions, and real options.