Herein we attempt to quantify Tom McClellan’s notion of Dance Steps between two series of data, often of differing time periods (a current, or dependent and a previous, or independent period data series), looking for similarities in the turning points to use as a reference for the future...

Growth Optimal Portfolio (GOP) theory determines the path of bet sizes that maximize long-term wealth. How it is also known in practice GOP is too risky. We explain in this talk that the reason is in practice the investment horizon is finite and practitioners account for risk more explicitly. We...

Presented is the formulation for determining the exact, expected growth-optimal fraction of equity to risk for all conditions, rather than merely the asymptotic growth-optimal fraction. The formulation presented represents the surface in the leverage space manifold, wherein the loci at the peak...

Growth Optimal Portfolio (GOP) theory determines the path of bet sizes that maximize long-term wealth. This multi-horizon goal makes it more appealing among practitioners than myopic approaches, like Markowitz's mean-variance or risk parity. The GOP literature typically considers risk-neutral...

Routinely, investors in managed funds or those they employ to assess managed funds, do so with certain parameters. Some of these parameters are not performance related (e.g., age of the fund, assets under management, type of fund) whereas there are almost always performance-related measures....

We discuss here a dynamic implementation of the leverage space portfolio theory in the form of DJ-LSP position sizing index implemented the Dow Jones indexes. Our emphasis in this case study is on the practical issues related to the implementation

Inflection points in the the function for determining estimated geometric gain with respect to capital committed emerge when planning an investment for a finite time horizon. These are points where marginal increases in reward with respect to risk peaks. We analyze the properties of inflection...