Picking an investor’s preferred portfolio from the points on the efficient frontier

One’s preferred level of risk affects how one invests. Different levels of your risk coefficient will create different ideal portfolios as illustrated in the figure below. This post describes the math behind the different allocations for different risk preference levels. The classic Markowitz optimization creates a set of portfolios called the efficient frontier which returns … Continue reading

Finding the #MinimumRisk #portfolio on a two-security #EfficientFrontier

In the #Markowitz risk-return space, there is always a portfolio which #MinimizesVolatility. In recent years this allocation scheme has become increasingly popular as the risk free rate hovers near (or below) zero. For a portfolio of two securities, there is an analytic solution which allocates capital to both securities to minimize the portfolio volatility. We … Continue reading

The Kelly solution for one continuous distribution of possible returns

By Elliot Noma with comments from Yu Bai The Kelly criterion is usually invoked for solving the optimal bet size for a two-outcome gamble. In other posts, we have considered the three outcome solution. Here we consider the optimal bet size for a specific family of continuous distributions, a uniform distribution of outcomes over a unit interval. … Continue reading

How Kelly bet size and Number of bets affect Max drawdown

By Elliot Noma, Yu Bai and Manish Worlikar In this post we vary the fractions of Kelly bet size and the number of plays to see how they affect the maximum drawdown. Betting on Kelly size optimizes the long term returns. People can alternatively use various fractions of Kelly size such as full, half, quarter … Continue reading