Portfolio choice with a fundamental criterion – an algorithm and practical applicationon – a computation methods and empirical analysis

Classical models for the construction of an investment portfolio do not account for fundamental values of companies considered. In our approach, we extend the portfolio choice by adding a new criterion connected with the fundamental values of companies to the classical criteria of expected return and risk. It is assumed that an investor selects stocks according to their attractiveness, measured by some indicators of economic and financial situation of companies. In this approach, portfolios are assessed according to three criteria: their expected returns, risk (measured by variance of returns) and economic situation of the companies (measured by some indicators). In this article, we consider the book value to price ratio as a measure of the fundamental value of a company. We discuss an algorithm for constructing portfolios with this fundamental value criterion based on analytical solutions for relevant optimization problems. In the optimization problem, we consider minimizing variance with constrains on expected return and attractiveness of investment. We also present empirical examples of calculating effective portfolios of stocks listed on the Warsaw Stock Exchange and compare their performance with effective portfolios built according to the classical Markowitz approach.By adding an additional criterion of the book to market value, we received portfolios with a higher average realized rate of return compared with the classical Markowitz model. Thus, it can be useful for investors in the capital market to incorporate an additional criterion connected with fundamental values of companies when preparing a model of stock returns.