IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i4p680-d1594857.html
   My bibliography  Save this article

Smoothing the Subjective Financial Risk Tolerance: Volatility and Market Implications

Author

Listed:
  • Wookjae Heo

    (Division of Consumer Science, White Lodging-J.W. Marriot Jr. School of Hospitability & Tourism Management, Purdue University, West Lafayette, IN 47907, USA)

  • Eunchan Kim

    (Department of Information Systems, College of Engineering, Hanyang University, Seoul 04763, Republic of Korea)

Abstract

This study explores smoothing techniques to refine financial risk tolerance (FRT) data for the improved prediction of financial market indicators, including the Volatility Index and S&P 500 ETF. Raw FRT data often contain noise and volatility, obscuring their relationship with market dynamics. Seven smoothing methods were applied to derive smoothed mean and standard deviation values, including exponential smoothing, ARIMA, and Kalman filter. Machine learning models, including support vector machines and neural networks, were used to assess predictive performance. The results demonstrate that smoothed FRT data significantly enhance prediction accuracy, with the smoothed standard deviation offering a more explicit representation of investor risk tolerance fluctuations. These findings highlight the value of smoothing techniques in behavioral finance, providing more reliable insights into market volatility and investor behavior. Smoothed FRT data hold potential for portfolio optimization, risk assessment, and financial decision-making, paving the way for more robust applications in financial modeling.

Suggested Citation

  • Wookjae Heo & Eunchan Kim, 2025. "Smoothing the Subjective Financial Risk Tolerance: Volatility and Market Implications," Mathematics, MDPI, vol. 13(4), pages 1-34, February.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:4:p:680-:d:1594857
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/4/680/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/13/4/680/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Smyl, Slawek, 2020. "A hybrid method of exponential smoothing and recurrent neural networks for time series forecasting," International Journal of Forecasting, Elsevier, vol. 36(1), pages 75-85.
    2. Chiarella, Carl & He, Xue-Zhong & Hommes, Cars, 2006. "A dynamic analysis of moving average rules," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1729-1753.
    3. Heo, Wookjae & Grable, John E. & Rabbani, Abed G., 2018. "A test of the relevant association between utility theory and subjective risk tolerance: Introducing the Profit-to-Willingness ratio," Journal of Behavioral and Experimental Finance, Elsevier, vol. 19(C), pages 84-88.
    4. Efstathios Paparoditis & Dimitris N. Politis, 2018. "The asymptotic size and power of the augmented Dickey–Fuller test for a unit root," Econometric Reviews, Taylor & Francis Journals, vol. 37(9), pages 955-973, October.
    5. Tu, Yufeng & Ball, Michael O. & Jank, Wolfgang S., 2008. "Estimating Flight Departure Delay DistributionsA Statistical Approach With Long-Term Trend and Short-Term Pattern," Journal of the American Statistical Association, American Statistical Association, vol. 103, pages 112-125, March.
    6. Peter Reinhard Hansen & Asger Lunde & James M. Nason, 2003. "Choosing the Best Volatility Models: The Model Confidence Set Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 839-861, December.
    7. Grable, John & Lytton, Ruth H., 1999. "Financial risk tolerance revisited: the development of a risk assessment instrument," Financial Services Review, Elsevier, vol. 8(3), pages 163-181.
    8. Vogelsang, Timothy J. & Wagner, Martin, 2013. "A FIXED-b PERSPECTIVE ON THE PHILLIPS–PERRON UNIT ROOT TESTS," Econometric Theory, Cambridge University Press, vol. 29(3), pages 609-628, June.
    9. 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.
    10. Grable, John E. & Lyons, Angela C. & Heo, Wookjae, 2019. "A test of traditional and psychometric relative risk tolerance measures on household financial risk taking," Finance Research Letters, Elsevier, vol. 30(C), pages 8-13.
    11. Kamstra, Mark J. & Kramer, Lisa A. & Levi, Maurice D. & Wermers, Russ, 2017. "Seasonal Asset Allocation: Evidence from Mutual Fund Flows," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 52(1), pages 71-109, February.
    12. de Oliveira, Erick Meira & Cyrino Oliveira, Fernando Luiz, 2018. "Forecasting mid-long term electric energy consumption through bagging ARIMA and exponential smoothing methods," Energy, Elsevier, vol. 144(C), pages 776-788.
    13. Zhu, Xiaoyu & Bao, Si, 2019. "Multifractality, efficiency and cross-correlations analysis of the American ETF market: Evidence from SPY, DIA and QQQ," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Petropoulos, Fotios & Apiletti, Daniele & Assimakopoulos, Vassilios & Babai, Mohamed Zied & Barrow, Devon K. & Ben Taieb, Souhaib & Bergmeir, Christoph & Bessa, Ricardo J. & Bijak, Jakub & Boylan, Joh, 2022. "Forecasting: theory and practice," International Journal of Forecasting, Elsevier, vol. 38(3), pages 705-871.
      • Fotios Petropoulos & Daniele Apiletti & Vassilios Assimakopoulos & Mohamed Zied Babai & Devon K. Barrow & Souhaib Ben Taieb & Christoph Bergmeir & Ricardo J. Bessa & Jakub Bijak & John E. Boylan & Jet, 2020. "Forecasting: theory and practice," Papers 2012.03854, arXiv.org, revised Jan 2022.
    2. Heo, Wookjae & Grable, John E. & Rabbani, Abed G., 2018. "A test of the relevant association between utility theory and subjective risk tolerance: Introducing the Profit-to-Willingness ratio," Journal of Behavioral and Experimental Finance, Elsevier, vol. 19(C), pages 84-88.
    3. Wookjae Heo & John E. Grable & Abed G. Rabbani, 2020. "A test of the association between the initial surge in COVID-19 cases and subsequent changes in financial risk tolerance," Review of Behavioral Finance, Emerald Group Publishing Limited, vol. 13(1), pages 3-19, August.
    4. Cui, Yu & Khan, Sufyan Ullah & Sauer, Johannes & Kipperberg, Gorm & Zhao, Minjuan, 2023. "Agricultural carbon footprint, energy utilization and economic quality: What causes what, and where?," Energy, Elsevier, vol. 278(PA).
    5. Kong, Hyeongwoo & Yun, Wonje & Kim, Woo Chang, 2023. "Tracking customer risk aversion," Finance Research Letters, Elsevier, vol. 54(C).
    6. John E. Grable & Wookjae Heo & Abed Rabbani, 2021. "Characteristics of random responders in a financial risk-tolerance questionnaire," Journal of Financial Services Marketing, Palgrave Macmillan, vol. 26(1), pages 1-9, March.
    7. Paweł Pełka, 2023. "Analysis and Forecasting of Monthly Electricity Demand Time Series Using Pattern-Based Statistical Methods," Energies, MDPI, vol. 16(2), pages 1-22, January.
    8. Rabbani, Abed G. & Grable, John E., 2022. "Can portfolio risk be described with estimates of financial risk tolerance calibration?," Finance Research Letters, Elsevier, vol. 46(PB).
    9. Huang, Bin & Wang, Bin & Chen, Zixuan, 2024. "Individual investment adaptations to COVID-19 lockdowns," The North American Journal of Economics and Finance, Elsevier, vol. 70(C).
    10. Heo, Wookjae & Rabbani, Abed & Grable, John E., 2021. "An Evaluation of the Effect of the COVID-19 Pandemic on the Risk Tolerance of Financial Decision Makers," Finance Research Letters, Elsevier, vol. 41(C).
    11. Christis Katsouris, 2023. "Limit Theory under Network Dependence and Nonstationarity," Papers 2308.01418, arXiv.org, revised Aug 2023.
    12. Yao, Zheying & Rabbani, Abed G., 2021. "Association between investment risk tolerance and portfolio risk: The role of confidence level," Journal of Behavioral and Experimental Finance, Elsevier, vol. 30(C).
    13. Niculaescu, Corina E. & Sangiorgi, Ivan & Bell, Adrian R., 2023. "Does personal experience with COVID-19 impact investment decisions? Evidence from a survey of US retail investors," International Review of Financial Analysis, Elsevier, vol. 88(C).
    14. Oreshkin, Boris N. & Dudek, Grzegorz & Pełka, Paweł & Turkina, Ekaterina, 2021. "N-BEATS neural network for mid-term electricity load forecasting," Applied Energy, Elsevier, vol. 293(C).
    15. Wookjae Heo & Abed G. Rabbani & Jae Min Lee, 2021. "Mediation between financial risk tolerance and equity ownership: assessing the role of financial knowledge underconfidence," Journal of Financial Services Marketing, Palgrave Macmillan, vol. 26(3), pages 169-180, September.
    16. Tartakovsky, Alexandre M. & Ma, Tong & Barajas-Solano, David A. & Tipireddy, Ramakrishna, 2023. "Physics-informed Gaussian process regression for states estimation and forecasting in power grids," International Journal of Forecasting, Elsevier, vol. 39(2), pages 967-980.
    17. Insoo Cho & Peter F. Orazem, 2021. "How endogenous risk preferences and sample selection affect analysis of firm survival," Small Business Economics, Springer, vol. 56(4), pages 1309-1332, April.
    18. Cardak, Buly A. & Martin, Vance L., 2023. "Household willingness to take financial risk: Stockmarket movements and life‐cycle effects," Journal of Banking & Finance, Elsevier, vol. 149(C).
    19. Małgorzata Doman & Ryszard Doman, 2013. "Dynamic linkages between stock markets: the effects of crises and globalization," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 12(2), pages 87-112, August.
    20. Pin Li & Jinsuo Zhang, 2019. "Is China’s Energy Supply Sustainable? New Research Model Based on the Exponential Smoothing and GM(1,1) Methods," Energies, MDPI, vol. 12(2), pages 1-30, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:13:y:2025:i:4:p:680-:d:1594857. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.