Investors typically measure an asset’s potential to diversify a portfolio by its correlations with the portfolio’s other assets, but correlation is useful only if it provides a good estimate of how an asset’s returns co-occur cumulatively with the other asset returns over the investor’s...

This paper will discuss portfolio optimization, Quadratic Programming (QP) and Second Order Cone Programming (SOCP). We will use simulated and empirical data to compare the two optimization routines. Daily data for SP500 stocks from 2005 to 2010 was used to show that a 20-days rebalanced...

We will in this paper discuss portfolio theory and portfolio optimization. Traditionally Quadratic Programming (QP) has been used to solve portfolio optimization problems. However, when an investor is faced with a large universe of securities the performance of QP will decrease. This paper shows...

The matrix algebra associated with finding minimum variance portfolio weights and tangency portfolio weights is greatly simplified by using an Excel presentation. A further simplification of the tangency portfolio weights process is also presented using excess returns for the risky securities....

This chapter discusses personal financial planning, which is an interdisciplinary practice that employs a six-step process to develop integrated strategies for individuals and families to efficiently mobilize their human and financial capital to achieve their life goals. Financial planning draws...

Here we present a novel approach to how the Chief Investment Office (CIO) can select investment strategies to allocate to and to decide the percentage allocation to them. The method that we outline here is a continuation of our previous research on recommender systems science[13]. The aim of...

The purpose of these notes is to provide a systematic quantitative framework - in what is intended to be a "pedagogical" fashion - for discussing mean-reversion and optimization. We start with pair trading and add complexity by following the sequence "mean-reversion via demeaning → regression...

In these notes we discuss investment allocation to multiple alpha streams traded on the same execution platform, including when trades are crossed internally resulting in turnover reduction. We discuss approaches to alpha weight optimization where one maximizes P&L subject to bounds on...

Portfolio implementation is an essential part of active investment strategies. The trading horizon-the length of time allocated for trade implementation, is an important consideration in portfolio trading. Previous research on optimal trading limits the trading horizon as a fixed value. In this...