Investigating the Effects of the COVID-19 Pandemic on Stock Volatility in Sub-Saharan Africa: Analysis Using Explainable Artificial Intelligence
Abstract
:1. Introduction
2. Literature Review
2.1. Theories Related to the Impact of the Pandemic on Volatility
2.1.1. Black Swan Theory
2.1.2. Herding Behavior Theory
2.1.3. Lucas Critique
2.2. Outbreak of COVID-19 Pandemic in Sub-Saharan Africa
2.3. Stock Market Development and Challenges in Sub-Saharan Africa
2.4. COVID-19 Pandemic and Stock Market Performance
3. Materials and Methods
3.1. Data and Sources
3.2. Methodology and Justification of Variables
3.2.1. Volatility Estimation
3.2.2. GJR-GARCH Model
3.2.3. The Exponential GARCH (EGARCH)
3.3. Explainable Artificial Intelligence
3.4. Analytical Software
4. Results
4.1. Descriptive Statistics
4.2. Trend Analysis
GARCH Results
4.3. Explainable Artificial Intelligence (XAI) Results
4.4. Discussion of Results
5. Conclusions and Policy Implication
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Country | First COVID Case | COVID-19 Period |
---|---|---|
South Africa | 05 March 2020 | 05 March 2020 to 31 July 2022 |
Nigeria | 27 February 2020 | 27 February 2020 to 31 July 2022 |
Zimbabwe | 20 March 2020 | 20 March 2020 to 31 July 2022 |
Zambia | 18 March 2020 | 18 March 2020 to 31 July 2022 |
Sector | JSE | NGX | ZSE | LUSE |
---|---|---|---|---|
Consumer Discretionary | 32 | 13 | 6 | 2 |
Consumer Staples | 24 | 22 | 12 | 6 |
Energy | 4 | 11 | -- | 1 |
Financials | 73 | 54 | 11 | 7 |
Health Care | 11 | 8 | -- | -- |
ICT | 24 | 12 | 2 | 1 |
Industrials | 43 | 22 | 7 | 2 |
Materials | 37 | 13 | 7 | 4 |
Real Estate | 22 | 1 | 3 | -- |
Utilities | -- | 1 | -- | 1 |
Total | 270 | 157 | 48 | 24 |
Variable | Description |
---|---|
∆_Cases | Change in new COVID-19 cases from day t − 1 to day t |
∆_Deaths | Change in new COVID-19 deaths from day t − 1 to day t |
Vaccin_ratio | Vaccin_ratio—represents the total number of vaccinations on day t divided by the cumulative number of confirmed cases on day t |
CF_rate | The case fatality rate represents the number of deaths on day t divided by the cumulative number of confirmed cases on day t |
str_index | The change in the government stringency index between day t and day t − 1. The stringency index is a composite measure based on 9 response indicators including school closures, workplace closures, and travel bans, rescaled to a value from 0 to 100 |
Hosp_rate | Total number of hospitalized patients on day t divided by cumulative number of confirmed cases on day t |
+ve rate | The share of COVID-19 tests that are positive, given as a rolling 7-day average |
Ln_Volm | Natural log of total dollar volume of shares traded per sector on day t |
Inflation | Inflation rate |
FX_rate | Exchange rate given as number of USD per unit of a country’s currency |
(A) Descriptive statistics for the variables used to model volatility at the Johannesburg stock exchange | (B) Descriptive statistics for the variables used to model volatility at the Nigerian stock exchange | |||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
count | mean | std | min | 25% | 50% | 75% | max | count | mean | std | min | 25% | 50% | 75% | max | |
new_cases | 5301 | 4121.48 | 5149.19 | 0 | 581 | 1866 | 5771 | 26,389 | 4732 | 292.82 | 449.11 | 0 | 26 | 138 | 416 | 6158 |
new_deaths | 5301 | 121.12 | 153.64 | 0 | 15 | 67 | 160 | 844 | 4732 | 3.19 | 5.07 | 0 | 0 | 1 | 5 | 31 |
icu_patients | 5301 | 732.34 | 712.21 | 0 | 194 | 532 | 998 | 2694 | 4732 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
hosp_patients | 5301 | 5350.78 | 4619.42 | 0 | 2003 | 4274 | 7700 | 18,034 | 4732 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
positive_rate | 5301 | 0.11 | 0.09 | 0 | 0.04 | 0.08 | 0.18 | 0.33 | 4732 | 0.05 | 0.06 | 0 | 0 | 0.02 | 0.08 | 0.3 |
new_vaccinations | 5301 | 26,276.13 | 56,754.24 | 0 | 0 | 0 | 16,390 | 414,065 | 4732 | 4555.02 | 44,753.75 | 0 | 0 | 0 | 0 | 797,209 |
stringency_index | 5301 | 48.21 | 21.99 | 2.78 | 36.19 | 48.15 | 63.89 | 87.96 | 4732 | 50.71 | 15.27 | 0 | 39.49 | 47.22 | 58.33 | 85.65 |
FX_rate | 5301 | 15.79 | 1.24 | 13.43 | 14.8 | 15.46 | 16.75 | 19.11 | 4732 | 399.98 | 18.6 | 360.5 | 381.2 | 410.3 | 415.12 | 444.97 |
Inflation | 5301 | 4.64 | 1.58 | 1.99 | 3.17 | 4.67 | 5.77 | 7.8 | 4732 | 12.84 | 2.11 | 9.4 | 10.96 | 13.17 | 13.93 | 17.67 |
Dollar_Volm | 5301 | 1.32 × 1010 | 1.57 × 1010 | 80,905,585 | 4.77 × 109 | 9.01 × 109 | 1.59 × 1010 | 4.53 × 1011 | 4732 | 4.63 × 109 | 5.75 × 109 | 1331 | 1.97 × 109 | 3.34 × 109 | 5.56 × 109 | 2.2 × 1011 |
(C) Descriptive statistics for the variables used to model volatility at the Zimbabwean stock exchange | (D) Descriptive statistics for the variables used to model volatility at the Lusaka stock exchange | |||||||||||||||
new_cases | 4326 | 322.55 | 807.48 | 0 | 16 | 57.5 | 227 | 9027 | 4504 | 383.7 | 773.47 | 0 | 17 | 85 | 322 | 5555 |
new_deaths | 4326 | 6.86 | 14.92 | 0 | 0 | 1 | 5 | 107 | 4504 | 4.2 | 10.26 | 0 | 0 | 0 | 3 | 72 |
icu_patients | 4326 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4504 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
hosp_patients | 4326 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4504 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
positive_rate | 4326 | 0.06 | 0.07 | 0 | 0.01 | 0.03 | 0.08 | 0.44 | 4504 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
new_vaccinations | 4326 | 13,178.34 | 24,821.17 | 0 | 0 | 1597.5 | 16,349 | 175,915 | 4504 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
stringency_index | 4326 | 61.7 | 15.68 | 0 | 51.05 | 57.41 | 71.3 | 87.96 | 4504 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
FX_rate | 4326 | 149.62 | 149.73 | 24.75 | 82.42 | 85.6 | 130.12 | 628.21 | 4504 | 18.69 | 2.25 | 13.94 | 16.97 | 18.13 | 21 | 22.68 |
Inflation | 4326 | 289.09 | 249.02 | 49.37 | 66.55 | 213.54 | 394.13 | 839.08 | 4504 | 17.07 | 4.74 | 9.7 | 13.9 | 16.09 | 21.83 | 24.8 |
Dollar_Volm | 4326 | 5,400,966 | 30,335,077 | 0 | 43,116.32 | 359,761.1 | 2,499,130 | 1.23 × 109 | 4504 | 278,375.2 | 13,394,094 | 0 | 0 | 0 | 1480.98 | 8.94 × 108 |
Variable | Consumer Discretionary | Consumer Staples | Energy | Financials | Health Care | ICT | Industrials | Materials | Real Estate |
---|---|---|---|---|---|---|---|---|---|
omega | 0.01 | 0.013 | 0.018 * | 0.003 | 0.024 | 0.005 *** | 0.003 | 0.045 | 0.007 |
alpha [1] | 0.107 ** | 0.123 | 0.075 *** | 0.043 * | 0.059 | −0.042 *** | 0.087 ** | 0.15 | 0.078 |
gamma [1] | −0.08 *** | −0.098 ** | −0.061 *** | −0.043 *** | −0.051 ** | −0.041 *** | −0.029 * | −0.078 * | −0.049 *** |
beta [1] | 0.977 *** | 0.94 *** | 0.992 *** | 0.989 *** | 0.979 *** | 0.992 *** | 0.986 *** | 0.936 *** | 0.991 *** |
+ve Cases | −1.285 *** | −0.168 | −2.094 *** | −0.385 *** | 0.191 | −0.54 *** | −0.326 *** | −0.544 *** | −0.642 *** |
∆_Cases | 0.008 | −0.009 | −0.007 | −0.008 | 0.001 | 0.003 | −0.001 | 0.003 | −0.011 |
∆_Deaths | 0.012 | 0.007 | 0.011 | 0.004 | 0.01 | 0.003 | 0.003 | 0.004 | 0.008 |
str_index | 0.009 *** | 0.002 *** | 0.012 *** | 0.002 *** | −0.005 *** | −0.001 * | 0.002 *** | 0.002 * | 0.004 *** |
FX_rate | −41.375 *** | −13.044 *** | −78.308 *** | −35.809 *** | −36.609 *** | −35.377 *** | −18.839 *** | −26.257 *** | −30.715 *** |
Inflation | −0.125 *** | −0.061 *** | 0.146 *** | 0.014 | 0.058 *** | −0.071 *** | 0.01 | 0.133 *** | −0.068 *** |
Ln_Volm | 0.093 *** | 0.1 *** | −0.081 * | 0.076 *** | 0.057 *** | 0.029 * | 0.004 | −0.011 | 0.044 ** |
Vaccin_ratio | −0.048 *** | −0.02 *** | −0.072 *** | −0.031 *** | −0.02 *** | −0.069 *** | −0.014 *** | −0.061 *** | −0.012 *** |
Consumer Discretionary | Consumer Staples | Energy | Financials | Health Care | ICT | Industrials | Materials | |
---|---|---|---|---|---|---|---|---|
Variable | ||||||||
omega | −0.046 | −0.048 | 0.009 | −0.01 | 0.003 | −0.037 | −0.036 | 0.353 |
alpha [1] | 0.38 | 0.212 * | 0.229 | 0.15 *** | 0.169 *** | 0.147 ** | 0.114 * | 0.652 * |
gamma [1] | 0.038 | 0.056 ** | 0.036 | 0.04 ** | 0.059 * | 0.01 | 0.003 | 0.509 * |
beta [1] | 0.804 *** | 0.923 *** | 0.889 *** | 0.98 *** | 0.942 *** | 0.948 *** | 0.969 *** | 1.0 *** |
∆_Cases | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
∆_Deaths | 0.004 | −0.002 | 0.007 | 0.002 | 0.006 | 0.001 | −0.002 | −0.002 |
+ve Cases | 0.005 | −0.43 ** | 0.861 *** | 0.301 * | 0.164 | −0.14 | −0.022 | 0.607 *** |
Vaccin_ratio | 0.001 *** | 0.0 * | 0.001 *** | 0.001 ** | 0.002 *** | 0.0 *** | 0.001 *** | 0.001 *** |
str_index | 0.003 *** | 0.002 ** | 0.004 *** | 0.002 ** | −0.004 *** | −0.002 *** | 0.001 ** | 0.003 *** |
Inflation | −0.05 *** | −0.029 *** | −0.011 | −0.035 *** | −0.078 *** | −0.011 ** | −0.051 *** | 0.016 |
FX_rate | 0 | −0.002 *** | −0.004 *** | −0.004 *** | −0.001 | −0.002 *** | −0.001 *** | −0.001 |
Ln_Volm | 0.04 *** | 0.054 *** | 0.04 *** | 0.099 *** | 0.068 *** | 0.001 | 0.009 ** | 0.014 ** |
Consumer Discretionary | Consumer Staples | Financials | ICT | Industrials | Materials | Real Estate | |
---|---|---|---|---|---|---|---|
Variable | |||||||
Omega | 0.283 | 0.354 | 0.245 *** | 1.735 ** | 0.298 | 0.05 | 0.678 |
alpha [1] | 0.083 | 0.272 ** | 0.162 *** | 0.801 ** | 0.161 ** | 0.156 ** | 0.241 |
gamma [1] | 0.024 | −0.053 | −0.085 | −0.567 * | −0.035 | −0.04 | −0.115 |
beta [1] | 0.83 * | 0.648 *** | 0.757 *** | 0.482 *** | 0.751 *** | 0.855 *** | 0.74 *** |
∆_Cases | −0.001 | 0.013 | 0.003 | −0.004 | −0.002 | −0.024 * | −0.015 |
∆_Deaths | −0.008 | 0.002 | 0.018 | −0.072 | −0.006 | 0.011 | 0.01 |
+ve_Cases | 1.092 *** | 1.506 * | 0.088 | −0.502 | 0.779 | 0.587 | −1.312 |
str_index | 0.003 ** | 0.01 * | 0.004 | 0.007 | −0.001 | 0.008 *** | 0.013 ** |
FX_rate | 4.811 *** | 8.084 ** | 4.555 * | 11.38 | 0.307 | 13.448 *** | 11.992 ** |
Ln_Infl | 0.123 *** | 0.258 *** | 0.114 ** | 0.318 * | 0.165 *** | 0.329 *** | 0.22 * |
Ln_Volm | 0.024 *** | 0.052 | 0.058 *** | 0.127 ** | 0.046 *** | 0.044 *** | 0.085 *** |
Vaccin_ratio | −0.005 *** | 0.014 *** | 0.003 | 0.028 *** | 0.007 ** | 0.007 *** | 0.009 |
Consumer Discretionary | Consumer Staples | Energy | Financials | ICT | Industrials | Materials | Utilities | |
---|---|---|---|---|---|---|---|---|
Variable | ||||||||
omega | 0.001 *** | 0.001 *** | 0.001 *** | 0 | 0.0 *** | 0.001 | 0.005 | 0.131 ** |
alpha [1] | 0.01 *** | 0.01 * | 0.01 *** | 0.984 | 0.01 *** | 0.725 * | 0.424 | 0.323 *** |
gamma [1] | 0.01 | 0.01 | 0.01 | −0.828 | 0.01 ** | −0.336 | 0.003 | −0.235 *** |
beta [1] | 0.869 *** | 0.965 *** | 0.965 *** | 0.415 | 0.965 *** | 0.186 | 0.404 | 0.794 *** |
∆_Cases | 0 | 0 | 0 | −0.003 | 0 | 0 | −0.001 | −0.01 |
∆_Deaths | 0 | 0.001 | −0.001 | −0.003 | 0.001 | −0.024 | −0.003 | −0.006 |
str_index | 0 | 0 | 0 | −0.0 ** | 0 | 0 | −0.0 *** | 0 |
+ve_cases | 0.0 *** | −0.0 *** | −0.0 *** | −0.0 ** | 0 | 0 | 0.0 *** | 0 |
FX_rate | 0 | −0.004 *** | 0.001 | −0.012 *** | −0.001 *** | 0.037 *** | −0.001 | −0.014 |
Inflation | 0 | −0.002 *** | −0.007 *** | 0.006 *** | −0.001 *** | −0.003 | 0 | 0.091 *** |
Ln_Volm | −0.0 *** | 0.001 *** | 0.002 *** | 0.008 *** | 0 | 0.028 *** | 0.005 *** | −0.018 *** |
CF_rate | −0.001 | −0.439 | 2.982 * | −6.879 ** | −0.553 | 3.814 | 10.141 *** | 15.009 |
JSE | NGX | ZSE | LuSE | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Sector | Random Forest | XGBoost | SVM | Random Forest | XGBoost | SVM | Random Forest | XGBoost | SVM | Random Forest | XGBoost | SVM |
Consumer Discretionary | 0.8732 | 0.5009 | 0.867 | 0.3596 | 0.0423 | 0.2992 | 0.9683 | 0.3101 | 0.8329 | −0.310 | −0.014 | −0.368 |
Consumer Staples | 0.8574 | 0.2938 | 0.7115 | 0.8012 | 0.0974 | 0.4106 | 0.6505 | 0.0922 | 0.2823 | 0.8117 | −0.001 | −1.561 |
Energy | 0.9523 | 0.5384 | 0.8487 | 0.1333 | 0.0241 | 0.1586 | 0.7441 | −0.032 | 0.2261 | |||
Financials | 0.967308 | 0.4004 | 0.8930 | 0.8843 | 0.2851 | 0.6382 | 0.5727 | 0.0866 | 0.1607 | 0.536 | −0.011 | 0.2285 |
Health Care | 0.8887 | 0.2741 | 0.8344 | 0.7847 | 0.1886 | 0.3015 | ||||||
ICT | 0.9547 | 0.4457 | 0.9029 | 0.8309 | −0.000 | 0.5130 | 0.3720 | 0.0591 | 0.0402 | 0.5411 | −0.002 | −6.801 |
Industrials | 0.9583 | 0.3780 | 0.8551 | 0.8009 | 0.0408 | 0.4922 | 0.5457 | 0.0718 | 0.2493 | 0.0275 | −0.015 | −0.002 |
Materials | 0.7185 | 0.3343 | 0.6384 | 0.7891 | 0.2161 | 0.590 | 0.8076 | 0.3081 | 0.6534 | 0.0712 | −0.004 | −0.424 |
Real Estate | 0.9261 | 0.4530 | 0.8477 | 0.3583 | 0.1431 | 0.1214 | ||||||
Utilities | 0.7955 | 0.4243 | 0.4196 |
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Ncube, M.; Sibanda, M.; Matenda, F.R. Investigating the Effects of the COVID-19 Pandemic on Stock Volatility in Sub-Saharan Africa: Analysis Using Explainable Artificial Intelligence. Economies 2024, 12, 112. https://doi.org/10.3390/economies12050112
Ncube M, Sibanda M, Matenda FR. Investigating the Effects of the COVID-19 Pandemic on Stock Volatility in Sub-Saharan Africa: Analysis Using Explainable Artificial Intelligence. Economies. 2024; 12(5):112. https://doi.org/10.3390/economies12050112
Chicago/Turabian StyleNcube, Mbongiseni, Mabutho Sibanda, and Frank Ranganai Matenda. 2024. "Investigating the Effects of the COVID-19 Pandemic on Stock Volatility in Sub-Saharan Africa: Analysis Using Explainable Artificial Intelligence" Economies 12, no. 5: 112. https://doi.org/10.3390/economies12050112
APA StyleNcube, M., Sibanda, M., & Matenda, F. R. (2024). Investigating the Effects of the COVID-19 Pandemic on Stock Volatility in Sub-Saharan Africa: Analysis Using Explainable Artificial Intelligence. Economies, 12(5), 112. https://doi.org/10.3390/economies12050112