Real Markets

A look at markets as they are, not as we wish them to be. Using R we illustrate two points made in Chapter 5 of Goals-Based Portfolio Theory

The Return Distribution of Bitcoin

A look at daily and monthly bitcoin return distributions. Which distribution best describes the observed data. And, what does this mean from a portfolio management perspective?

How to Optimize a Goal-Based Portfolio

Traditional portfolio optimization (often called modern portfolio theory, or mean-variance optimization) balances expected portfolio return with expected portfolio variance. You … More