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Noise Trader Risk and Wealth Effect: A Theoretical Framework

Author

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  • Cong Chen

    (School of Finance and Economics, Jiangsu University, Zhenjiang 212013, China)

  • Changsheng Hu

    (Economics and Management School, Wuhan University, Wuhan 430072, China)

  • Hongxing Yao

    (School of Finance and Economics, Jiangsu University, Zhenjiang 212013, China)

Abstract

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 t = 1 and reduce consumption at t = 2, and rational investors will reduce consumption at t = 1 and expand consumption at t = 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.

Suggested Citation

  • Cong Chen & Changsheng Hu & Hongxing Yao, 2022. "Noise Trader Risk and Wealth Effect: A Theoretical Framework," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3873-:d:946448
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    as
    1. Fang, Hao & Chung, Chien-Ping & Lu, Yang-Cheng & Lee, Yen-Hsien & Wang, Wen-Hao, 2021. "The impacts of investors' sentiments on stock returns using fintech approaches," International Review of Financial Analysis, Elsevier, vol. 77(C).
    2. Vincent Labhard & Gabriel Sterne & Chris Young, 2005. "Wealth and consumption: an assessment of the international evidence," Bank of England working papers 275, Bank of England.
    3. De Long, J Bradford, et al, 1990. "Positive Feedback Investment Strategies and Destabilizing Rational Speculation," Journal of Finance, American Finance Association, vol. 45(2), pages 379-395, June.
    4. Malcolm Baker & Jeffrey Wurgler, 2006. "Investor Sentiment and the Cross‐Section of Stock Returns," Journal of Finance, American Finance Association, vol. 61(4), pages 1645-1680, August.
    5. Jingchi Liao & Cameron Peng & Ning Zhu, 2022. "Extrapolative Bubbles and Trading Volume," The Review of Financial Studies, Society for Financial Studies, vol. 35(4), pages 1682-1722.
    6. Zhang, Yixing & Jia, Qinmin & Chen, Chen, 2021. "Risk attitude, financial literacy and household consumption: Evidence from stock market crash in China," Economic Modelling, Elsevier, vol. 94(C), pages 995-1006.
    7. Hoffmann, Arvid O.I. & Post, Thomas & Pennings, Joost M.E., 2013. "Individual investor perceptions and behavior during the financial crisis," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 60-74.
    8. Klaus Adam & Albert Marcet & Johannes Beutel, 2017. "Stock Price Booms and Expected Capital Gains," American Economic Review, American Economic Association, vol. 107(8), pages 2352-2408, August.
    9. Julian Kozlowski & Laura Veldkamp & Venky Venkateswaran, 2020. "Scarring Body and Mind: The Long-Term Belief-Scarring Effects of COVID-19," NBER Working Papers 27439, National Bureau of Economic Research, Inc.
    10. Martin Lettau & Sydney C. Ludvigson, 2004. "Understanding Trend and Cycle in Asset Values: Reevaluating the Wealth Effect on Consumption," American Economic Review, American Economic Association, vol. 94(1), pages 276-299, March.
    11. Bhupal Singh, 2012. "How important is the stock market wealth effect on consumption in India?," Empirical Economics, Springer, vol. 42(3), pages 915-927, June.
    12. Barroso, Pedro & Detzel, Andrew, 2021. "Do limits to arbitrage explain the benefits of volatility-managed portfolios?," Journal of Financial Economics, Elsevier, vol. 140(3), pages 744-767.
    13. Nikola Dvornak & Marion Kohler, 2007. "Housing Wealth, Stock Market Wealth and Consumption: A Panel Analysis for Australia," The Economic Record, The Economic Society of Australia, vol. 83(261), pages 117-130, June.
    14. Gregory W. Brown & Michael T. Cliff, 2005. "Investor Sentiment and Asset Valuation," The Journal of Business, University of Chicago Press, vol. 78(2), pages 405-440, March.
    15. Péter Hudomiet & Gábor Kézdi & Robert J. Willis, 2011. "Stock market crash and expectations of American households," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(3), pages 393-415, April.
    16. Pontiff, Jeffrey, 2006. "Costly arbitrage and the myth of idiosyncratic risk," Journal of Accounting and Economics, Elsevier, vol. 42(1-2), pages 35-52, October.
    17. Nicholas C. Barberis, 2018. "Psychology-based Models of Asset Prices and Trading Volume," NBER Working Papers 24723, National Bureau of Economic Research, Inc.
    18. Narayan, Paresh Kumar & Narayan, Seema & Westerlund, Joakim, 2015. "Do order imbalances predict Chinese stock returns? New evidence from intraday data," Pacific-Basin Finance Journal, Elsevier, vol. 34(C), pages 136-151.
    19. Wenjie Ding & Khelifa Mazouz & Qingwei Wang, 2019. "Investor sentiment and the cross-section of stock returns: new theory and evidence," Review of Quantitative Finance and Accounting, Springer, vol. 53(2), pages 493-525, August.
    20. Zhi Da & Joseph Engelberg & Pengjie Gao, 2011. "In Search of Attention," Journal of Finance, American Finance Association, vol. 66(5), pages 1461-1499, October.
    21. Malcolm Baker & Jeffrey Wurgler, 2007. "Investor Sentiment in the Stock Market," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 129-152, Spring.
    22. Glaeser, Edward L. & Nathanson, Charles G., 2017. "An extrapolative model of house price dynamics," Journal of Financial Economics, Elsevier, vol. 126(1), pages 147-170.
    23. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    24. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    25. Sydney C. Ludvigson & Charles Steindel, 1999. "How important is the stock market effect on consumption?," Economic Policy Review, Federal Reserve Bank of New York, vol. 5(Jul), pages 29-51.
    26. Wang, Wenzhao & Su, Chen & Duxbury, Darren, 2021. "Investor sentiment and stock returns: Global evidence," Journal of Empirical Finance, Elsevier, vol. 63(C), pages 365-391.
    27. Monica Paiella, 2009. "The Stock Market, Housing And Consumer Spending: A Survey Of The Evidence On Wealth Effects," Journal of Economic Surveys, Wiley Blackwell, vol. 23(5), pages 947-973, December.
    28. Paresh Kumar Narayan & Kumari Ranjeeni & Deepa Bannigidadmath, 2017. "New Evidence of Psychological Barrier from the Oil Market," Journal of Behavioral Finance, Taylor & Francis Journals, vol. 18(4), pages 457-469, October.
    29. James M. Poterba, 2000. "Stock Market Wealth and Consumption," Journal of Economic Perspectives, American Economic Association, vol. 14(2), pages 99-118, Spring.
    30. Lance A. Fisher & Graham M. Voss, 2004. "Consumption, Wealth and Expected Stock Returns in Australia," The Economic Record, The Economic Society of Australia, vol. 80(251), pages 359-372, December.
    31. Tsai, I-Chun, 2016. "Wealth effect and investor sentiment," The North American Journal of Economics and Finance, Elsevier, vol. 38(C), pages 111-123.
    32. Thais Lærkholm Jensen & Niels Johannesen, 2017. "The Consumption Effects of the 2007–2008 Financial Crisis: Evidence from Households in Denmark," American Economic Review, American Economic Association, vol. 107(11), pages 3386-3414, November.
    33. Liao, Jingchi & Peng, Cameron & Zhu, Ning, 2022. "Extrapolative bubbles and trading volume," LSE Research Online Documents on Economics 110514, London School of Economics and Political Science, LSE Library.
    34. Deven Bathia & Don Bredin, 2013. "An examination of investor sentiment effect on G7 stock market returns," The European Journal of Finance, Taylor & Francis Journals, vol. 19(9), pages 909-937, October.
    35. Funke, Norbert, 2004. "Is there a stock market wealth effect in emerging markets?," Economics Letters, Elsevier, vol. 83(3), pages 417-421, June.
    36. Yash P. Mehra, 2001. "The wealth effect in empirical life-cycle aggregate consumption equations," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 45-67.
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