Lecture 13: Portfolio Management

MIT 18.642 Topics in Mathematics with Applications in Finance, Fall 2024
Instructor: Jake Xia
View the complete course: https://ocw.mit.edu/courses/18-642-topics-in-mathematics-with-applications-in-finance-fall-2024
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP601Q2jo-J_3raNCMMs6Jves

This lecture provides a comprehensive overview of portfolio management, focusing on the practical aspects of asset allocation, risk measurement, and investment sizing beyond traditional modern portfolio theory, highlighting its limitations and proposing improved approaches such as gain-loss ratios. It also explores behavioral finance concepts like crowding behavior and power law distributions, emphasizing the importance of dynamic rebalancing and understanding market influences from powerful agents such as governments and large funds.

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Post from MIT OpenCourseWare on December 03, 2025

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