302 Int. J. Monetary Economics and Finance, Vol. 6, No. 4, 2013
Copyright © 2013 Inderscience Enterprises Ltd.
A Euro area stock market model with betas
dependent on the financial markets cycle
José Soares da Fonseca
Faculty of Economics,
University of Coimbra,
Av. Dias da Silva 165,
3004-512 Coimbra, Portugal
Fax: +351239790554
E-mail: jfonseca@fe.uc.pt
Abstract: This paper estimates market models for the Euro area stock
markets of France, Germany, Holland, Italy and Spain, with beta parameters
dependent on the financial cycle phases. These models support the calculation
of time-varying Treynor ratios, which compare the performance of these
domestic markets across different phases of the financial cycle in the Euro area
stock markets.
Keywords: Euro area stock market model; financial markets cycle; time-
varying beta parameters; Treynor ratios.
Reference to this paper should be made as follows: da Fonseca, J.S.
(2013) ‘A Euro area stock market model with betas dependent on the financial
markets cycle’, Int. J. Monetary Economics and Finance, Vol. 6, No. 4,
pp.302–308.
Biographical notes: José Soares da Fonseca received his PhD in Economics
from the University of Orleans, France. He is a Professor of Finance and
Monetary Economics at the University of Coimbra Portugal. His research
interests include financial markets integration, funds performance evaluation,
bond portfolio management and interest rate risk measures.
1 Introduction
The empirical analysis of this paper estimates market models for the biggest Euro area
stock markets such as France, Germany, Holland, Italy and Spain. The beta parameters
estimated by these models are time-varying and depend on variables that provide
information on stock market phases. Treynor and Mazuy (1966) proposed the first
solution in the literature to beta coefficients variability, according to which betas vary
with market portfolio’s excess return (market timing effect). Another explanation of betas
variability was given by Beaven et al. (1970) who enhanced the influence of firm
variables as payout, leverage, size, etc., on beta values. The influence of macroeconomic
variables was taken into consideration by Rosenberg and Guy (1976), according to whom
beta changes are caused by underlying economic events, namely changes in the expected
rate of inflation, interest rates and growth rate of real gross domestic product (GDP).
The importance of beta variability to portfolio management was put in evidence by