Noise Trader Risk and Wealth Effect: A Theoretical Framework

This paper discusses the impact of noise trader risk on total consumption and investor consumption. The model predicts that: (1) If noise traders show optimistic beliefs, they will have a restraining effect on the total consumption when the noise trading intensity is high enough, they will expand co...

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Main Authors: Cong Chen, Changsheng Hu, Hongxing Yao
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/20/3873
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author Cong Chen
Changsheng Hu
Hongxing Yao
author_facet Cong Chen
Changsheng Hu
Hongxing Yao
author_sort Cong Chen
collection DOAJ
description This paper discusses the impact of noise trader risk on total consumption and investor consumption. The model predicts that: (1) If noise traders show optimistic beliefs, they will have a restraining effect on the total consumption when the noise trading intensity is high enough, they will expand consumption at <i>t</i> = 1 and reduce consumption at <i>t</i> = 2, and rational investors will reduce consumption at <i>t</i> = 1 and expand consumption at <i>t</i> = 2; (2) if the beliefs of noise traders do not show bias, the consumption of rational investors is always higher than that of noise traders and exceeds the market benchmark; (3) the relative consumption of rational investors and noise traders depends on the risk, risk aversion, fundamental risk and market ratio of noise traders; (4) based on the reasonable range of noise traders’ beliefs, the lifetime consumption of noise traders will be higher than that of rational investors and the market, and the excess consumption will change with a series of parameters.
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spelling doaj.art-57c6290f92814a98a4ce3918a959f38f2023-12-03T14:52:00ZengMDPI AGMathematics2227-73902022-10-011020387310.3390/math10203873Noise Trader Risk and Wealth Effect: A Theoretical FrameworkCong Chen0Changsheng Hu1Hongxing Yao2School of Finance and Economics, Jiangsu University, Zhenjiang 212013, ChinaEconomics and Management School, Wuhan University, Wuhan 430072, ChinaSchool of Finance and Economics, Jiangsu University, Zhenjiang 212013, ChinaThis paper discusses the impact of noise trader risk on total consumption and investor consumption. The model predicts that: (1) If noise traders show optimistic beliefs, they will have a restraining effect on the total consumption when the noise trading intensity is high enough, they will expand consumption at <i>t</i> = 1 and reduce consumption at <i>t</i> = 2, and rational investors will reduce consumption at <i>t</i> = 1 and expand consumption at <i>t</i> = 2; (2) if the beliefs of noise traders do not show bias, the consumption of rational investors is always higher than that of noise traders and exceeds the market benchmark; (3) the relative consumption of rational investors and noise traders depends on the risk, risk aversion, fundamental risk and market ratio of noise traders; (4) based on the reasonable range of noise traders’ beliefs, the lifetime consumption of noise traders will be higher than that of rational investors and the market, and the excess consumption will change with a series of parameters.https://www.mdpi.com/2227-7390/10/20/3873investor sentimentnoise trader riskwelfare levelreal economy
spellingShingle Cong Chen
Changsheng Hu
Hongxing Yao
Noise Trader Risk and Wealth Effect: A Theoretical Framework
Mathematics
investor sentiment
noise trader risk
welfare level
real economy
title Noise Trader Risk and Wealth Effect: A Theoretical Framework
title_full Noise Trader Risk and Wealth Effect: A Theoretical Framework
title_fullStr Noise Trader Risk and Wealth Effect: A Theoretical Framework
title_full_unstemmed Noise Trader Risk and Wealth Effect: A Theoretical Framework
title_short Noise Trader Risk and Wealth Effect: A Theoretical Framework
title_sort noise trader risk and wealth effect a theoretical framework
topic investor sentiment
noise trader risk
welfare level
real economy
url https://www.mdpi.com/2227-7390/10/20/3873
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AT changshenghu noisetraderriskandwealtheffectatheoreticalframework
AT hongxingyao noisetraderriskandwealtheffectatheoreticalframework