paulnkk / columbia-ieor-4525

Determine efficient portfolios by solving the Markowitz Optimization model

Markowitz-Portfolio-Optimization

This implementation was created as part of a the course Machine Learning for Operations Research and Financial Engineering. In the following, we consider the Markowitz model for efficient portfolios. It is a convex nonlinear optimization problem that can be solved efficiently using convex global optimization techniques.

For this purpose, I have implemented a barrier term based method, which solves the problem described above for different betas in an approximate way (an efficient portfolio is calculated for each beta).

Finally, I visualized the efficient portfolios in a mu-sigma diagram (expected return versus standard deviation).