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Dynamic interactions of actual stock returns with forecasted stock returns and investors’ risk aversion: empirical evidence interplaying the impact of Covid-19 pandemic

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Abstract

In this paper, we examine the dynamic relationship between actual stock returns, forecasted returns and investor risk aversion, where variables are analyzed in first difference form rather than levels. The idea behind using such methodology is to find out how variables move together contemporaneously, and to explain how changes in actual stock returns adjust to contemporary forecasted returns and changes in risk aversion, considering the interplaying effect of the Covid-19 pandemic. We use daily US stock market data, for five consecutive years ranging from 2018 to 2022. Empirical analysis shows that, ceteris paribus, (i) actual returns adjust swiftly to forecasted returns and (ii) the adjustment coefficient increases significantly during the pandemic, implying that investors become more sensitive to the implicit information in the formulated forecasts. In addition, it has been found that an increase in daily risk aversion leads to a simultaneous decline in actual stock returns. Although the risk aversion index reached high levels during the pandemic, its marginal effect on the dynamics of returns has diminished during this period, suggesting that investors with high levels of risk aversion become less sensitive to the ongoing crisis. Other factors, such as market volatility and trade intensity, have almost negligible effects on the dynamics of daily returns.

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Notes

  1. Note that our estimates remain qualitatively stable as we use alternative models of forecasting such general AR or VAR models.

  2. All variables of the regression equations are in difference form, so no lagged variables were included. Thus, h-Durbin is irrelevant to use.

  3. This conclusion became more obvious if we re-estimate the first regression equation by including a quadratic term of the daily changes of the risk aversion index into the equation to get:

    \(\Delta R_{t} = 0.000 + 0.85[F_{t - 1} \left( {R_{t} } \right) - R_{t - 1} ] - 0.004\Delta UNC_{t} + .000078\Delta UNC_{t}^{2}\)

    R2 = 0.753. All the estimated parameters except the constant term are statistically significant at the 1% level.

    This clearly shows that the sensitivity of ΔR, although negative, is getting slightly higher as the coefficient of the quadratic term indicates.

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Acknowledgements

This research was partly supported by grants IRG C20116 and C20117. This support is gratefully acknowledged. We also thank the editor and the anonymous referees who have provided valuable comments on an earlier version of this paper.

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Correspondence to Rahma Lahyani.

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Appendices

Appendix

Appendix A1

See Table 7.

Table 7 Unit root test

Appendix A2

See Table 8.

Table 8 Subperiod regression results

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Abo Al Haija, A., Lahyani, R. Dynamic interactions of actual stock returns with forecasted stock returns and investors’ risk aversion: empirical evidence interplaying the impact of Covid-19 pandemic. Rev Quant Finan Acc 61, 1129–1149 (2023). https://doi.org/10.1007/s11156-023-01181-0

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