A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments

In this paper, by considering a model-based approach for conditional moment estimation, a nonparametric test was performed to study the long-memory property of higher moments. We considered the daily returns of the stocks included in the S&P500 index in the last ten years (for the period running...

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Main Authors: Massimiliano Giacalone, Demetrio Panarello
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/5/707
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author Massimiliano Giacalone
Demetrio Panarello
author_facet Massimiliano Giacalone
Demetrio Panarello
author_sort Massimiliano Giacalone
collection DOAJ
description In this paper, by considering a model-based approach for conditional moment estimation, a nonparametric test was performed to study the long-memory property of higher moments. We considered the daily returns of the stocks included in the S&P500 index in the last ten years (for the period running from the 1st of January 2011 to the 1st of January 2021). We found that mean and skewness were characterized by short memory, while variance and shape had long memory. These results have deep implications in terms of asset allocation, option pricing and market efficiency evaluation.
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spelling doaj.art-14d155c63f984c37a4c11e367b0291002023-11-23T23:22:26ZengMDPI AGMathematics2227-73902022-02-0110570710.3390/math10050707A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher MomentsMassimiliano Giacalone0Demetrio Panarello1Department of Economics and Statistics, University of Naples “Federico II”, 80126 Naples, ItalyDepartment of Statistical Sciences “Paolo Fortunati”, University of Bologna, 40126 Bologna, ItalyIn this paper, by considering a model-based approach for conditional moment estimation, a nonparametric test was performed to study the long-memory property of higher moments. We considered the daily returns of the stocks included in the S&P500 index in the last ten years (for the period running from the 1st of January 2011 to the 1st of January 2021). We found that mean and skewness were characterized by short memory, while variance and shape had long memory. These results have deep implications in terms of asset allocation, option pricing and market efficiency evaluation.https://www.mdpi.com/2227-7390/10/5/707generalized autoregressive scoreskewness and shapenonparametric testself-similaritylong-range dependencefinancial market
spellingShingle Massimiliano Giacalone
Demetrio Panarello
A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments
Mathematics
generalized autoregressive score
skewness and shape
nonparametric test
self-similarity
long-range dependence
financial market
title A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments
title_full A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments
title_fullStr A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments
title_full_unstemmed A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments
title_short A Nonparametric Approach for Testing Long Memory in Stock Returns’ Higher Moments
title_sort nonparametric approach for testing long memory in stock returns higher moments
topic generalized autoregressive score
skewness and shape
nonparametric test
self-similarity
long-range dependence
financial market
url https://www.mdpi.com/2227-7390/10/5/707
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