Investing can be complicated with many moving parts, but modern portfolio theory (MPT) is a valuable tool to piece them together efficiently. If you've ever wondered how to construct a well-balanced ...

Anti-Ramsey theory in graphs is a branch of combinatorial mathematics that examines the conditions under which a graph, when its edges are coloured, must necessarily contain a ‘rainbow’ subgraph – a ...

Gallai–Ramsey theory lies at the intersection of graph colouring and Ramsey theory, providing a framework for understanding how structures emerge in edge-coloured graphs. Central to this domain is the ...

James Chen, CMT is an expert trader, investment adviser, and global market strategist. Andy Smith is a Certified Financial Planner (CFP®), licensed realtor and educator with over 35 years of diverse ...

EDITOR’S NOTE: Modern portfolio theory (MPT) was first defined by Harry Markowitz with his paper, “Portfolio Selection,” which appeared in the 1952 Journal of Finance. While MPT and management began ...

Lisa Smith is a writer with a passion for financial journalism, contributing to popular media outlets like Investopedia and Bloomberg BNA. Andy Smith is a Certified Financial Planner (CFP®), licensed ...

The primary reason for the dramatic rise in Bitcoin has been it being increasing used in portfolios of investors who previously avoided it. Modern Portfolio Theory shows that the most efficient ...

For those who hear the phrase “graph theory” and think of the basic pie charts and bar graphs introduced in elementary school, there’s a new world to be explored. “In graph theory, the most simple way ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

Modern Portfolio Theory (MPT) is an academic practice for optimizing investment portfolios in pursuit of realizing the greatest potential reward for the amount of risk an investor is willing to assume ...