Dependence of Stock Returns in Bull and Bear Markets

Despite of its many shortcomings, Pearson’s rho is often used as an association measure for stock returns. A conditional version of Spearman’s rho is suggested as an alternative measure of association. This approach is purely nonparametric and avoids any kind of model misspecification. We derive hyp...

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Main Authors: Dobric Jadran, Frahm Gabriel, Schmid Friedrich
Format: Article
Language:English
Published: De Gruyter 2013-01-01
Series:Dependence Modeling
Subjects:
Online Access:https://doi.org/10.2478/demo-2013-0005
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spelling doaj-f499f1f6933547a485245907273429cb2021-10-02T19:18:26ZengDe GruyterDependence Modeling2300-22982013-01-01120139411010.2478/demo-2013-0005demo-2013-0005Dependence of Stock Returns in Bull and Bear MarketsDobric Jadran0Frahm Gabriel1Schmid Friedrich2Credit Risk Control, WGZ BANK AG, Düsseldorf, GermanyChair for Applied Stochastics and Risk Management, Helmut Schmidt University, Hamburg, GermanyUniversity of Cologne, GermanyDespite of its many shortcomings, Pearson’s rho is often used as an association measure for stock returns. A conditional version of Spearman’s rho is suggested as an alternative measure of association. This approach is purely nonparametric and avoids any kind of model misspecification. We derive hypothesis tests for the conditional rank-correlation coefficients particularly arising in bull and bear markets and study their finite-sample performance by Monte Carlo simulation. Further, the daily returns on stocks contained in the German stock index DAX 30 are analyzed. The empirical study reveals significant differences in the dependence of stock returns in bull and bear markets.https://doi.org/10.2478/demo-2013-0005bear marketbootstrappingbull marketconditional spearman’s rhocopulasmonte carlo simulationpearson’s rhostock returns62h2062p05
collection DOAJ
language English
format Article
sources DOAJ
author Dobric Jadran
Frahm Gabriel
Schmid Friedrich
spellingShingle Dobric Jadran
Frahm Gabriel
Schmid Friedrich
Dependence of Stock Returns in Bull and Bear Markets
Dependence Modeling
bear market
bootstrapping
bull market
conditional spearman’s rho
copulas
monte carlo simulation
pearson’s rho
stock returns
62h20
62p05
author_facet Dobric Jadran
Frahm Gabriel
Schmid Friedrich
author_sort Dobric Jadran
title Dependence of Stock Returns in Bull and Bear Markets
title_short Dependence of Stock Returns in Bull and Bear Markets
title_full Dependence of Stock Returns in Bull and Bear Markets
title_fullStr Dependence of Stock Returns in Bull and Bear Markets
title_full_unstemmed Dependence of Stock Returns in Bull and Bear Markets
title_sort dependence of stock returns in bull and bear markets
publisher De Gruyter
series Dependence Modeling
issn 2300-2298
publishDate 2013-01-01
description Despite of its many shortcomings, Pearson’s rho is often used as an association measure for stock returns. A conditional version of Spearman’s rho is suggested as an alternative measure of association. This approach is purely nonparametric and avoids any kind of model misspecification. We derive hypothesis tests for the conditional rank-correlation coefficients particularly arising in bull and bear markets and study their finite-sample performance by Monte Carlo simulation. Further, the daily returns on stocks contained in the German stock index DAX 30 are analyzed. The empirical study reveals significant differences in the dependence of stock returns in bull and bear markets.
topic bear market
bootstrapping
bull market
conditional spearman’s rho
copulas
monte carlo simulation
pearson’s rho
stock returns
62h20
62p05
url https://doi.org/10.2478/demo-2013-0005
work_keys_str_mv AT dobricjadran dependenceofstockreturnsinbullandbearmarkets
AT frahmgabriel dependenceofstockreturnsinbullandbearmarkets
AT schmidfriedrich dependenceofstockreturnsinbullandbearmarkets
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