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Research Article | Volume 3 Issue 1 (Jan-June, 2022) | Pages 1 - 8
A Comparative Study on Volatility Modeling between Overall Periods And Financial Crises (Covid-19) Period of Bangladesh
1
Assistant Professor, Department of Statistics, Jahangirnagar University, Savar, 1342-Dhaka
Under a Creative Commons license
Open Access
Received
Jan. 3, 2022
Revised
Feb. 9, 2022
Accepted
March 19, 2022
Published
March 30, 2022
Abstract

In this study trying to estimate volatility of returns of Dhaka stock exchange and compare volatility of overall periods and financial crises periods and trying to find out the best fitted model for DSE30 companies between two periods using symmetric GARCH model and asymmetric GARCH model. Time series analysis especially symmetric and asymmetric GARCH model has been conducted to estimate volatility, to find best fitted model and lastly comparing the results of DSE30 companies between two periods. After analysis finally results show that volatility for financial crisis period specially IDLC Finance Limited, IFAD Autos Limited, Pubali Bank Limited, The ACME Laboratories companies are extremely high and un stationary comparative to overall periods. So according to result say that DSE30 companies of financial crisis periods produces instability in the capital market, destabilizes the value of currency, as well as hampers international trade and finance.

Keywords
INTRODUCTION

Volatility is basically a function of uncertainty."-say‘s John Bollinger. In order to prevent uncertainty and risk in the stock market, it is particularly important to measure effectively the volatility of stock index returns. It measures the difference between an asset current prices and its average past prices. It can also be measured by using the standard deviation or variance between returns from the same security or market index. The standard deviation tells us how tightly the price of a stock is grouped around the mean or moving average. When the prices are tightly bunched together, the standard deviation is small. When the price is spread apart, you have a relatively large standard deviation. Volatility tends to decline as the stock market rises and increases as the stock market falls. When volatility increases, risk increases and returns decrease. If there is a wide range of fluctuations in the prices over short time periods, it has high volatility and has low volatility if the price moves slowly. Greater volatility influences risk adverse investors  to demand a higher risk premium.  High indices of the stock market in every aspect of measurement implied less variability of volatility. The extreme volatility in the stock market produces instability in the capital market, destabilizes the value of currency, as well as hampers international trade and finance. Usually due to financial crises, stock market volatility rises very high due to a heavy drop in stock prices across global markets; with the effects on the emerging markets remaining heavy and persistent. At the same time, financial market volatility has also a direct impact on macroeconomic and financial stability. In   this  study  two  periods  are  counted that are overall periods (up to 2020) and financial crises period (2020) due to the corona crisis. It is the case study of Dhaka  Stock Exchange  of  Bangladesh.  The   comparative study of this research is to estimate the volatility modeling of these two periods. In the previous volatility related area different things are estimated on volatility modeling which are presented in literature review. But in this research comparative study between two periods is done using DSE data. To complete the research different statistical analysis specifically time series analysis are used. As a result volatility modeling expresses the financial condition of DSE of Bangladesh.

 

The main objectives of this study are given:

 

  • To estimate volatility of the returns of Dhaka stock exchange

  • To Compare volatility between overall periods and financial crises periods

  • To find out the best fitted model for DSE between symmetric GARCH model and asymmetric GARCH model

 

Literature review: Banamber et al. [1] presented that the stock market returns of India are more predictable based on the lagged-realized rates of return and less efficient than those of Japan and evidence of volatility persistence in both markets. The estimates of the mean-model show ARCH-components in the rates of stock market return in India while that is not the case for Japan. They indicate that the stock market of Japan is relatively more efficient than that of India. There are evidences of asymmetric effects    of    bad   news  and  good  news  on  stock  market returns of India and Japan. Apparently, India's stock market is influenced more by positive news and Japan's stock market is influenced more by negative news. There is also evidence of volatility persistence in both markets. Debesh et al. [2] studied various dimensions of stock market  volatility  including  measurement  and  nature of impact of volatility with the help of important economic literatures. It emphasized also on the political factors of volatility and attempted to relate economic growth with stock market volatility in the long run process reviewing a few econometric models and concludes that political instability and depression catapulted the stock market volatility which dwindled the growth rate of a country including a strong negative spillover effects of volatility from other countries on growth rate .The nexus between international trade and volatility was explained through econometric models showing asymmetric in nature where volatility reduces both volume of trade and increases current account and capital account deficits.

 

Mamtha et al. [3] intended to understand the characteristics of volatility and provides the insight of cause and effect of volatility of stock prices and also attempts to bring out various features of volatility such as volatility clustering, mean reversion and degree of volatility persistence. They found that factors like information flow, trading volume, economical aspects and investor’s behavior are the causes of volatility in the stock market. It also suggests that the stock markets around the world have evidenced asymmetry response and spillover effects of volatility.

 

Maqsood et al. [4] estimated that stock returns volatility for the Kenya’s Nairobi Securities Exchange (NSE), by applying different univariate specifications of GARCH type models. The results show that the volatility process is highly persistent, thus, giving evidence of the existence of risk premium for the NSE index return series. This in turn supports the positive correlation hypothesis: that is between volatility and expected stock returns. Another fact revealed by the results is that the asymmetric GARCH models provide better fit for NSE than the symmetric models. This proves the presence of leverage effect in the NSE return series.

 

Raheem et al. [5] showed that considering all the bank returns are highly leptokurtic, significantly skewed and thus non-normal across the four periods except for Fidelity bank during financial crises; find-ings similar to those of other global markets. The global financial market had significant impacts on the stock returns Due to the higher rates of persistence in volatility during the financial crisis across the 10 banks than they were at the overall period, is an indication that the banks became riskier due to the crisis. Asymmetric GARCH models outperformed the symmetric GARCH models, especially during the financial crises and post the crises. They also conclude that Nigerian banks’ returns are volatility persistent during and after the crises, and are characterized by leverage effects of negative and positive shocks during these periods.

 

Roni et al. [6] examine that the effective GARCH models recommended for performing market returns and volatilities analysis, to conduct a content analysis of return and volatility literature, to observe studies which use directional prediction accuracy model as a yardstick from a realistic point of understanding and has the core objective of the forecast of financial time series in stock market return and presents a comprehensive literature which has mainly focused on studies on return and volatility of stock market using systematic review methods on various financial markets around the world.

 

Sartaj et al. [7] presented that volatility on a daily basis has been found to have clustering patterns and important for the markets as it signals about their health, what is not desirable is erratic behavior of volatility taking an extreme form.

MATERIALS AND METHODS

The data will be collected from Dhaka stock exchange consisting of daily closing stock prices which covers overall periods and financial crises periods. At first calculate return of each company between two periods and then descriptive statistics has been analyzed. The return is calculated using the given formula:

 

 

Rt   

 

where, PT  is the stock price at time t and is the stock price at time t-1.

 

Time series analysis specially symmetric and asymmetric GARCH model has been conducted of return data of each company between two periods. The Autoregressive Conditional Heteroscedastic (ARCH) family models are adopted in modeling financial data for a number of reasons which include simplicity and ease of ability to handle clustered errors and changes in the econometricians’ leverage to make predictions.

 

Autoregressive Conditional Heteroscedasticity (ARCH) and Generalized Autoregressive Conditional Heteroscedasticity (GARCH): For ARCH (1) the conditional volatility is =+, will be positive and stationary if and. The unconditional volatility for ARCH (1) is =  , where is the long run volatility and  is the coefficient of heteroscedasticity or measures ARCH effect. It means it seems that there is a volatility clustering because high changes mean high fluctuations and low changes means low fluctuations. ARCH LM-test; Null hypothesis: no ARCH effects. When p value is less than 5% or 1% we can easily say that there is ARCH effect. So it said that there are no ARCH effects. Then GARCH model, EGARCH model and TGARCH model are applied in each company and choose best mode based on Akaike Information Criteria(AIC) because we know that the least value of AIC is known as the best model. The persistence to volatility is however determined by .

 

Exponential Autoregressive Conditional Heteroscedasticity (EGARCH): For EGARCH(1,1) the conditional volatility is:

 

ln() = +()+ ln()+δ)- E)

 

where, δ is the leverage parameter that would be computed along with and. Above  Equation has in its last term the difference between absolute residuals and its expectation which produces leverage effects (effects which dis-tinguishes the impacts of positive shocks from negative shocks to the stock re-turns). EGARCH is  however unrestricted in the course of model estimation because with the natural log of, the volatility equation will always be positive. The persistence to volatility is however determined by . Leverage effect means negative correlation between past return and volatility of future return. In order to apply EGARCHrequire the coefficients of gamma is negative and significant but gamma is positive so there is no Leverage effect. If there is no Leverage effect cannot go for EGARCH.

 

Threshold Autoregressive Conditional Heteroscedasticity (TGARCH): It helps to compute asymmetries in terms of negative and positive shocks. It simply means this model treats good news and bad news asymmetrically:

 

=Ꙍ+α

 

where, = 1, bad news, 0 otherwise. Good news related with positive shock, has impact of beta whereas bad news has an impact of beta and gamma. γ>0 indiicates asymmetry or leverage effect but γ = 0 symmetry in volatility. If (α+γ) >=0 and γ<0, it means the model will be good. The shock persistence is measured by:

 

+ .

 

Relative persistence of volatility: Trying to compute relative volatility persistence (RP) of the financial crisis period relative to the overall periods to determine what proportion of the overall persistence in volatility was accounted for during the crisis. This would enable us to understand level of risk that was recorded by each company during the period. Suppose that the persistence in volatility during the crisis and at the overall period is respectively defined as and, the relative persistence in volatility during the crisis is then defined mathematically as:

 

=

 

RESULTS

Descriptive statistics: In this section summary statistics of DSE30 companies for the Covid-19 Periods and Non Covid-19 Periods are presented by considering Covid-19 Periods as a financial crisis periods and Non Covid-19 Periods as overall periods.

 

Table 1 and 2 represent the summary statistics of DSE30 companies between financial crisis periods and overall periods. Observing that mean returns of DSE30 companies are not zero between two periods except singer Bangladesh Ltd. of Covid-19 period while median of Covid-19 period are all about zero but with regards to overall periods medians are non-zero except Eastern Bank Ltd., National Bank Ltd., Pubali Bank Ltd. And Summit power Ltd. The standard deviations of covid-19 period are higher than overall periods indicating high variability around the mean across DSE30 companies.

 

To test the suitability of ARCH or GARCH family models,  ARCH  (1),  GARCH    (1,1),   EGARCH   (1,1)     and 

 

TGARCH(1,1) models are fitted to the returns of each  companies and the Akaike Information Criterion (AIC) obtained for each period considered. The appropriate model is chosen by considering the least AIC results of which are provided in Table 3. From Table 3, clear to us that there is no DSE30 companies are  fitted with ARCH(1), only Beximco Pharmaceuticals  Ltd. is fitted with  GARCH(1,1) and remaining 21 companies  i.e. Bangladesh Export Import Co., Bangladesh Steel Re-Rolling, Bangladesh Submarine Cab Co., Beacon Pharmaceuticals Ltd., BRAC Bank Ltd., British American Tobacco Bangladesh Co., Confidence Cement Ltd., Eastern Bank Ltd., Grameenphone Ltd., IFAD Autos Limited, Lafarge Holcim Bangladesh, Lanka Bangla Finance Ltd., Olympic Industries Limited, Padma Oil Co.Ltd., Paramount Textile Limited, Renata Ltd., Singer Bangladesh Ltd., Square Pharmaceuticals Ltd., Summit Power Ltd., Titas Gas Trans. & Dist. Co., United Power Generation companies are fitted with EGARCH(1,1) and also remaining 9 companies i.e BBS Cables Limited, City Bank Ltd., IDLC Finance Limited, Meghna Petroleum Ltd., National Bank Ltd., National Life Insurance Co., Pubali Bank Ltd., The ACME Laboratories are fitted with TGARCH(1,1) models.

 

The volatility persistence of IDLC Finance Limited, IFAD Autos Limited, Pubali Bank Limited, The ACME Laboratories companies are extremely high and un stationary. So according to result say that DSE30 companies  of  financial  crisis  periods produces instability in the capital market, destabilizes the value of currency, as well as hampers international trade and finance.

 

To test the suitability of ARCH or GARCH family models, ARCH (1), GARCH (1,1), EGARCH (1,1) and TGARCH (1,1) models are fitted to the returns of each companies and the Akaike Information Criterion (AIC) obtained for each period considered. The appropriate model is chosen by considering the least AIC results of which are provided in Table 4. From Table 4, clear to us that there is no DSE30 companies are fitted with ARCH (1) and 8 companies  such as Bangladesh Steel Re-Rolling, Beximco Pharmaceuticals Ltd., BRAC Bank Ltd., British American Tobacco Bangladesh Co., City Bank Ltd., IFAD Autos Limited, Lanka Bangla Finance Ltd, Olympic Industries Limited companies are fitted with GARCH(1,1) and 16 companies such as Bangladesh Export Import Co., BBS Cables Limited, Beacon Pharmaceuticals Ltd., Eastern Bank Ltd., Grameenphone Ltd., IDLC Finance Limited, Lanka Bangla Finance Ltd., Meghna Petroleum Ltd., Padma Oil Co.Ltd., Paramount Textile Limited, Renata Ltd., Singer Bangladesh Ltd., Summit Power Ltd., The ACME Laboratories, Titas Gas Trans. & Dist. Co., United Power Generation  companies  are  fitted  with  EGARCH (1,1) and remaining 6 companies such as Bangladesh Submarine Cab Co., Confidence Cement Ltd., National Bank Ltd., National Life Insurance Co., Pubali Bank Ltd.,  Square Pharmaceuticals Ltd. companies are fitted with TGARCH(1,1) models.

 

Table 1: Summary Statistics of DSE30 Companies for the Covid-19 Periods: 22.03.2020-30.04.2021

SL No.

Name of companies

Mean

Median

Stdeviation

Skewness

Kurtosis

1

Bangladesh Export Import Co

-0.0064

0

0.0430

-0.0240

0.0516

2

Bangladesh Steel Re-Rolling

-0.0001

0

0.0303

-0.1796

8.9203

3

Bangladesh Submarine Cable Co.

-0.0021

0.0012

0.0319

-0.5220

2.469

4

BBS Cables Limited

0.0007

0

0.0200

-0.0474

9.5596

5

Beacon Pharmaceuticals Ltd.

-0.0019

0

0.0378

-0.2932

2.1688

6

Beximco Pharmaceuticals Ltd.

-0.0038

0

0.0345

-0.1504

1.3493

7

BRAC Bank Ltd.

-0.0005

0

0.0237

-0.5918

7.5684

8

British American Tobacco Bangladesh Co.

0.006

0

0.1175

14.7235

224.6049

9

City Bank Ltd.

-0.0008

0

0.0265

-0.6336

2.3612

10

Confidence Cement Ltd.

0.0002

0

0.0232

-0.4614

4.7118

11

Eastern Bank Ltd.

-0.0008

0

0.0175

-1.2886

7.2605

12

Grameenphone Ltd.

-0.0009

0

0.0162

-0.1897

4.2045

13

IDLC Finance Limited

-0.0004

0

0.0274

-0.1135

5.6157

14

IFAD Autos Limited

0.0004

0

0.0276

-0.4382

4.8127

15

LafargeHolcim Bangladesh

-0.0013

0

0.0326

-0.3222

1.6061

16

LankaBangla Finance Ltd.

-0.0025

0

0.0386

-0.2248

0.4959

17

Meghna Petroleum Ltd.

-0.0002

0

0.0142

0.4838

6.6834

18

National Bank Ltd.

0.0004

0

0.0219

-0.7526

2.7848

19

National Life Insurance Co.

6.18E-04

0.00E+00

2.58E-02

-4.96E-01

7.23E+00

20

Olympic Industries Limited

0.0004

0

0.0227

-0.1204

9.0926

21

Padma Oil Co.Ltd.

-0.0004

0

0.0157

-0.0533

5.9963

22

Paramount Textile Limited

0.0017

0

0.0277

-0.051

6.8548

23

Pubali Bank Ltd.

-0.0003

0

0.0176

0.0687

9.597

24

Renata Ltd.

-0.0006

0

0.0141

2.2535

27.9884

25

Singer Bangladesh Ltd.

0

0

0.0161

-0.3064

10.0585

26

Square Pharmaceuticals Ltd.

-0.0004

0

0.0184

0.2445

8.6203

27

Summit Power Ltd.

-0.0002

0

0.0241

-0.5069

3.0916

28

The ACME Laboratories

-0.0003

0

0.0192

-0.366

4.6036

29

Titas Gas Trans. & Dist. Co.

-0.0001

0

0.0188

-0.391

9.1292

30

United Power Generation

-0.0004

0

0.022

0.3002

15.1146

 

 

Table 2: Summary Statistics of DSE30 Companies for the Non Covid-19 Periods: 30.04.2019-05.03.2020

SL No.

Name of companies

Mean

Median

Stdeviation

Skewness

Kurtosis

1

Bangladesh Export Import Co

0.0022

0.0045

0.023

-0.8687

2.7982

2

Bangladesh Steel Re-Rolling

0.0005

0.0016

0.023

-0.1784

4.8834

3

Bangladesh Submarine Cable Co.

0.0026

0.0059

0.0259

-0.6963

0.5873

4

BBS Cables Limited

0.0021

0.0011

0.0207

-0.5427

2.0915

5

Beacon Pharmaceuticals Ltd.

-0.0054

-0.0022

0.0261

-0.4722

1.2666

6

Beximco Pharmaceuticals Ltd.

0.0009

0.0012

0.0159

-1.196

6.6452

7

BRAC Bank Ltd.

0.0025

0.0032

0.0216

0.454

4.9436

8

British American Tobacco Bangladesh Co.

0.0018

0.0035

0.0167

-0.8607

3.1827

9

City Bank Ltd.

0.0019

0.0035

0.0198

-0.5231

2.3115

10

Confidence Cement Ltd.

0.0022

0.0034

0.0236

1.2326

12.1703

11

Eastern Bank Ltd.

0.0011

0

0.0194

4.1881

40.2491

12

Grameenphone Ltd.

0.0017

0.0036

0.0218

-0.906

3.7029

13

IDLC Finance Limited

0.0015

0.0008

0.0172

-0.3999

2.0141

14

IFAD Autos Limited

0.0028

0.0045

0.0254

-0.1516

1.1793

15

LafargeHolcim Bangladesh

-0.0002

0.0025

0.0236

-0.6273

2.6696

16

LankaBangla Finance Ltd.

0.0017

0.0056

0.0243

-0.9935

2.1499

17

Meghna Petroleum Ltd.

0.0007

0.001

0.016

-0.2694

7.0967

18

National Bank Ltd.

0.0011

0

0.019

0.4488

10.4441

19

National Life Insurance Co.

-0.0013

0.0025

0.0278

-0.8382

2.0529

20

Olympic Industries Limited

0.0014

0.0022

0.0188

-0.0701

0.9173

21

Padma Oil Co.Ltd.

0.0015

0.0022

0.0174

-0.1799

4.9511

22

Paramount Textile Limited

0.0005

0.0016

0.0202

0.0482

2.3253

23

Pubali Bank Ltd.

0.0007

0

0.0102

-0.2281

2.7522

24

Renata Ltd.

0.0002

0.0005

0.0122

2.9311

22.5953

25

Singer Bangladesh Ltd.

6.85E-05

1.70E-03

1.56E-02

2.06E-01

2.11E+00

26

Square Pharmaceuticals Ltd.

0.0018

0.0008

0.0154

0.8653

17.3697

27

Summit Power Ltd.

0.0003

0

0.0135

1.2491

9.2924

28

The ACME Laboratories

0.0012

0.0014

0.0153

-0.6058

1.2026

29

Titas Gas Trans. & Dist. Co.

0.0009

0.0027

0.0143

-0.6915

11.2592

30

United Power Generation

0.0012

0.0021

0.0231

0.8924

8.4566

 

 

 

Fig. 1: Relative Persistence of financial crisis period to overall period

 

Table 3: Appropriate best fitted volatility model for DSE30 companies during Covid-19 Periods: 22.03.2020-30.04.2021

CompaniesModelPersistence
1.Bangladesh Export Import Co.EGARCH(1,1)-0.489511   0.026719   0.918064   0.479570   0.918064   
2. Bangladesh Steel Re-RollingEGARCH(1,1)-0.412694   0.424390   0.932826   0.696518   0.932826   
3.Bangladesh Submarine Cab Co.EGARCH(1,1)-0.875377   0.135115   0.868948   0.432348   0.868948   
4.BBS Cables LimitedTGARCH(1,1)0.000095   0.863617   0.446402   -0.811732   0.904153
5.Beacon Pharmaceuticals Ltd.EGARCH(1,1)-1.157342   0.068873   0.811059   0.904726   0.811059   
6.Beximco Pharmaceuticals Ltd.GARCH(1,1)0.000064   0.155998   0.805319   N/A0.961317
7.BRAC Bank Ltd.EGARCH(1,1)-1.315046   0.202524   0.816544   1.207531   0.816544   
8.British American Tobacco Bangladesh CoEGARCH(1,1)-2.14535   -0.23818   0.69619   1.67262   0.69619   
9.City Bank Ltd.TGARCH(1,1)0.000087   0.508580   0.666952   -0.434417   0.9583235
10.Confidence Cement Ltd.EGARCH(1,1)-1.064211   0.221852   0.855276   1.155212   0.855276   
11.Eastern Bank Ltd.EGARCH(1,1)-0.857226   0.283117   0.884969   0.867658   0.884969   
12.Grameenphone Ltd.EGARCH(1,1)-0.970983   0.014155   0.863294   1.939004   0.863294   
13.IDLC Finance LimitedTGARCH(1,1)0.000000   0.474230   0.619259   -0.188980   0.998999
14.IFAD Autos LimitedEGARCH(1,1)-0.008027   0.370425   1.000000   0.404275   1.000000   
15.LafargeHolcim BangladeshEGARCH(1,1)-0.839839   0.270288   0.873628   0.693145   0.873628   
16.Lanka Bangla Finance Ltd.EGARCH(1,1)-1.456292   -0.04154   0.775131   0.675602   0.775131   
17.Meghna Petroleum Ltd.TGARCH(1,1)0.000003   0.000203   0.999951   -0.033901   0.983203
18.National Bank Ltd.TGARCH(1,1)0.000050   0.449466   0.626503   -0.261835   0.945051
19.National Life Insurance Co.TGARCH(1,1)0.000130   0.882162   0.490448   -0.833125   0.956047
20.Olympic Industries LimitedEGARCH(1,1)-4.818257   -0.20077   0.366885   0.278515   0.366885   
21.Padma Oil Co.Ltd.EGARCH(1,1)-1.519790   0.295209   0.810922   0.678299   0.810922   
22.Paramount Textile LimitedEGARCH(1,1)-2.172623   0.005526   0.690724   1.356606   0.690724   
23.Pubali Bank Ltd.TGARCH(1,1)0.000077   0.839340   0.188616   -0.057913   0.998999
24.Renata Ltd.EGARCH(1,1)-0.774579   -0.04259   0.885217   1.172975   0.885217   
25.Singer Bangladesh Ltd.EGARCH(1,1)-1.22964   0.21865   0.84335   1.12247   0.84335   

Table 3: Continue

26.Square Pharmaceuticals Ltd.EGARCH(1,1)-0.668144   0.278965   0.906074   0.571842   0.906074   
27.Summit Power Ltd.EGARCH(1,1)-0.441920   0.315692   0.936363   0.645778   0.936363   
28.The ACME LaboratoriesTGARCH(1,1)0.000032   0.497928   0.657554   -0.329561   0.990702
29.Titas Gas Trans. & Dist. Co.EGARCH(1,1)-1.34786   0.24200   0.83048   0.77380   0.83048   
30.United Power GenerationEGARCH(1,1)-1.86625   -0.12234   0.74437   1.21957   0.74437   

 

Table 4: Appropriate best fitted volatility model for DSE30 companies during Non Covid-19 Periods: 30.04.2019-05.03.2020

CompaniesModel

Persistence

1.Bangladesh Export Import Co.EGARCH(1,1)-1.0827   0.25790.85410.70470.8541
2. Bangladesh Steel Re-RollingGARCH(1,1)0.0000070.04200.9361N/A0.9781
3.Bangladesh Submarine Cab Co.TGARCH(1,1)0.000200.65190.14690.72535
4.BBS Cables LimitedEGARCH(1,1)-0.3632-0.03190.95260.23710.9526
5.Beacon Pharmaceuticals Ltd.EGARCH(1,1)-0.06890.08310.98740.28340.9874
6.Beximco Pharmaceuticals Ltd.GARCH(1,1)0.0000340.4695400.429895N/A0.899435
7.BRAC Bank Ltd.GARCH(1,1)0.0000270.4034970.595503N/A0.999
8.British American Tobacco Bangladesh CoGARCH(1,1)0.000035   0.471713   0.527287   N/A0.999
9.City Bank Ltd.GARCH(1,1)0.0000090.0616630.918882N/A0.980545
10.Confidence Cement Ltd.TGARCH(1,1)0.0000000.0000100.9839290.0264490.997163
11.Eastern Bank Ltd.EGARCH(1,1)-0.138511     -0.2378920.982994-0.1208830.982994
12.Grameenphone Ltd.EGARCH(1,1)-2.656790     0.139577   0.655068   0.736247   0.655068   
13.IDLC Finance LimitedEGARCH(1,1)-0.177014     -0.080840     0.978620   -0.002799     0.978620   
14.IFAD Autos LimitedGARCH(1,1)0.000110   0.187100   0.648693   N/A0.835793
15.LafargeHolcim BangladeshGARCH(1,1)0.000041   0.483259   0.515740   N/A0.998999
16.Lanka Bangla Finance Ltd.EGARCH(1,1)-0.348347     -0.017496     0.951265     0.182650     0.951265     
17.Meghna Petroleum Ltd.EGARCH(1,1)-0.907031     0.226582   0.890527   0.206631   0.890527   
18.National Bank Ltd.TGARCH(1,1)0.000002   0.019106   1.000000   -0.040489     0.998861
19.National Life Insurance Co.TGARCH(1,1)0.000116   0.588382   0.547951   -0.395768     0.938449
20.Olympic Industries LimitedGARCH(1,1)0.000023   0.180236   0.752548   N/A0.932784
21.Padma Oil Co.Ltd.EGARCH(1,1)-0.237036     0.097940   0.969599   0.298089   0.969599   
22.Paramount Textile LimitedEGARCH(1,1)-0.648918     0.043452   0.915312   0.289740   0.915312   
23.Pubali Bank Ltd.TGARCH(1,1)0.000002   0.010457   0.999890   -0.048330     0.986182
24.Renata Ltd.EGARCH(1,1)-1.324554     0.111528   0.839825   1.392414   0.839825   
25.Singer Bangladesh Ltd.EGARCH(1,1)-1.891748     -0.104068     0.773920   0.301164   0.773920   
26.Square Pharmaceuticals Ltd.TGARCH(1,1)0.000000   0.000000   0.964232   0.069535   0.998999
27.Summit Power Ltd.EGARCH(1,1)-4.19921   -0.30750   0.51996   0.69320   0.51996   
28.The ACME LaboratoriesEGARCH(1,1)-2.722529     0.247366   0.674825   0.476675   0.674825   
29.Titas Gas Trans. & Dist. Co.EGARCH(1,1)-0.199619     0.286560   0.974167   0.368539   0.974167   
30.United Power GenerationEGARCH(1,1)-1.976929     0.237925   0.740295   0.576749   0.740295   

 


 

The volatility persistence of BRAC Bank Ltd., British American Tobacco Bangladesh, Confidence Cement Ltd., LafargeHolcim Bangladesh, National Bank Ltd., Square Pharmaceuticals Ltd.  Companies are extremely high and stationary but volatility persistence value of all companies is less than one.

 

From the Table 5 and Figure 1 try to see the relative persistence during financial crisis period relative to the    overall period.  With this result from this Table 5, relative persistence of Summit Power Ltd. during financial crisis is about two times that of the overall period and it has the highest relative persistence. Relative persistence of The ACME Laboratories during financial crisis is about 1.5 times that of the overall period and it has the 2nd highest relative persistence. Relative persistence of Grameen phone Ltd. during financial crisis is about 1.32 times that  of  the   overall   period and  it  has  the   3rd highest  relative persistence. Relative persistence of Bangladesh Submarine Cab Co.  and IFAD Autos Limited during financial crisis is about 1.2 times that of the overall period and it has the 4th  highest relative persistence. Relative persistence of Meghna Petroleum Ltd. during financial crisis is about 1.1 times that of the overall period and it has the 5th highest relative persistence.

 

Relative persistence of Bangladesh Export Import Co., Beximco Pharmaceuticals Ltd., IDLC Finance Limited, National Life Insurance Co., Pubali Bank Ltd., Renata Ltd., Singer Bangladesh Ltd. and United Power Generation during financial crisis is about 1 times higher that of the overall period. And Relative persistence of remaining 14 companies during financial crisis is less than 1 times higher that of the overall period and among 14 companies the Relative persistence of Olympic Industries Limited is lowest during financial crisis relative to overall period.


 

Table 5: Relative Persistence between COVID -19 Period and non COVID -19 Period

Companies

Persistence during COVID -19 Period

Persistence during non COVID -19 period

Relative Persistence

Bangladesh Export Import Co.

0.92

0.85

1.07

Bangladesh Steel Re-Rolling

0.93

0.98

0.95

Bangladesh Submarine Cab Co.

0.87

0.73

1.20

BBS Cables Limited

0.90

0.95

0.95

Beacon Pharmaceuticals Ltd.

0.81

0.99

0.82

Beximco Pharmaceuticals Ltd.

0.96

0.90

1.07

BRAC Bank Ltd.

0.82

1.00

0.82

British American Tobacco Bangladesh Co

0.70

1.00

0.70

City Bank Ltd.

0.96

0.98

0.98

Confidence Cement Ltd.

0.86

1.00

0.86

Eastern Bank Ltd.

0.88

0.98

0.90

Grameenphone Ltd.

0.86

0.66

1.32

IDLC Finance Limited

1.00

0.98

1.02

IFAD Autos Limited

1.00

0.84

1.20

LafargeHolcim Bangladesh

0.87

1.00

0.87

Lanka Bangla Finance Ltd.

0.78

0.95

0.81

Meghna Petroleum Ltd.

0.98

0.89

1.10

National Bank Ltd.

0.95

1.00

0.95

National Life Insurance Co.

0.96

0.94

1.02

Olympic Industries Limited

0.37

0.93

0.39

Padma Oil Co.Ltd.

0.81

0.97

0.84

Paramount Textile Limited

0.69

0.92

0.75

Pubali Bank Ltd.

1.00

0.99

1.01

Renata Ltd.

0.89

0.84

1.05

Singer Bangladesh Ltd.

0.84

0.77

1.09

Square Pharmaceuticals Ltd.

0.91

1.00

0.91

Summit Power Ltd.

0.94

0.52

1.80

The ACME Laboratories

0.99

0.67

1.47

Titas Gas Trans. & Dist. Co.

0.83

0.97

0.85

United Power Generation

0.74

0.74

1.01

 

CONCLUSION

Observing that mean returns of DSE30 companies are not zero between two periods except singer Bangladesh Ltd. of Covid-19 period while median of Covid-19 period are all about zero but with regards to overall periods medians are non zero except Eastern Bank Ltd., National Bank Ltd., Public Bank Ltd. and Summit power Ltd. The standard deviations of covid-19 period are higher than overall periods indicating high variability around the mean across DSE30 companies. So concluding that variation of DSE30 companies for covid-19 period is high than overall 

 

From Table 3, clear to us that there is no DSE30 companies are fitted with ARCH(1), only Beximco Pharmaceuticals Ltd. is fitted with  GARCH(1,1) and remaining 21 companies  i.e. Bangladesh Export Import Co., Bangladesh Steel Re-Rolling, Bangladesh Submarine Cab Co., Beacon Pharmaceuticals Ltd., BRAC Bank Ltd., British American Tobacco Bangladesh Co., Confidence Cement Ltd., Eastern Bank Ltd., Grameenphone Ltd., IFAD Autos Limited,  Lafarge Holcim  Bangladesh,  Lanka Bangla 

 

Finance Ltd., Olympic Industries Limited, Padma Oil Co.Ltd., Paramount Textile Limited, Renata Ltd., Singer Bangladesh Ltd., Square Pharmaceuticals Ltd., Summit Power Ltd., Titas Gas Trans. & Dist. Co., United Power Generation companies are fitted with EGARCH(1,1), and also remaining 9 companies i.e BBS Cables Limited, City Bank Ltd., IDLC Finance Limited, Meghna Petroleum Ltd., National Bank Ltd., National Life Insurance Co., Public Bank Ltd., The ACME Laboratories are fitted with TGARCH(1,1) models.

 

The volatility persistence of IDLC Finance Limited, IFAD Autos Limited, Public Bank Limited, The ACME Laboratories companies are extremely high and stationary. So according to result say that DSE30 companies of financial crisis periods produces instability in the capital market, destabilizes the value of currency, as well as hampers international trade and finance.

 

From Table 4, clear to us that there is no DSE30 companies are fitted with ARCH(1) and 8 companies  such as Bangladesh Steel Re-Rolling, Beximco Pharmaceuticals Ltd., BRAC Bank Ltd., British American Tobacco Bangladesh Co., City Bank Ltd., IFAD Autos Limited, Lanka Bangla Finance Ltd, Olympic Industries Limited companies are fitted with GARCH(1,1) and 16 companies such as Bangladesh Export Import Co., BBS Cables Limited, Beacon Pharmaceuticals Ltd., Eastern Bank Ltd., Grameenphone Ltd., IDLC Finance Limited, Lanka Bangla Finance Ltd., Meghna Petroleum Ltd., Padma Oil Co.Ltd., Paramount Textile Limited, Renata Ltd., Singer Bangladesh Ltd., Summit Power Ltd., The ACME Laboratories, Titas Gas Trans. & Dist. Co., United Power Generation companies are fitted with EGARCH(1,1) and remaining 6 companies such as Bangladesh Submarine Cab Co., Confidence Cement Ltd., National Bank Ltd., National Life Insurance Co., Pubali Bank Ltd., Square Pharmaceuticals Ltd. companies are fitted with TGARCH(1,1) models.

 

The volatility persistence of BRAC Bank Ltd., British American Tobacco Bangladesh, Confidence Cement Ltd., LafargeHolcim Bangladesh, National Bank Ltd., Square Pharmaceuticals Ltd.  Companies are extremely high and unstationary but volatility persistence value of all companies is less than one.

 

With this result from this Table 5, relative persistence of Summit Power Ltd. during financial crisis is about two times that of the overall period and it has the highest relative persistence. Relative persistence of The ACME Laboratories during financial crisis is about 1.5 times that of the overall period and it has the 2nd highest relative persistence. Relative persistence of Grameen phone Ltd. during financial crisis is about 1.32 times that of the overall period and it has the 3rd highest relative persistence. Relative persistence of Bangladesh Submarine Cab Co.  and IFAD Autos Limited during financial crisis is about 1.2 times that of the overall period and it has the 4th  highest relative persistence. Relative persistence of Meghna Petroleum Ltd. during financial crisis is about 1.1 times that of the overall period and it has the 5th highest relative persistence. Remaining among 14 companies the Relative persistence of Olympic Industries Limited is lowest during financial crisis relative to overall period.

REFERENCE
  1. Banamber, M and Matiur, R. "Dynamics of stock market return volatility: Evidence from the daily data of India and Japan." International Business & Economics Research Journal vol. 9, no. 5, 2010, https://doi.org/ 10.19030/I ber.v9i5.571.

  2. Debesh, B. "Stock market volatility: An evaluation." International Journal of Scientific and Research Publications vol. 3, no. 10, 2013, ISSN 2250-3153.

  3. Mamtha, D and Sakthi Srinivasan K. "Stock market volatility - conceptual perspective through literature survey." Mediterranean Journal of Social Sciences vol. 7, no. 1, 2016, https://doi.org/10.5901/mjss.2016.v7n1p208.

  4. Maqsood, A et al. "Modeling stock market volatility using GARCH models: A case study of Nairobi Securities Exchange (NSE)." Open Journal of Statistics vol. 7, 2017, pp. 369–381. https://doi.org/10.4236/ojs.2017.72026.

  5. Raheem, M.A and Samson, T.K. "Volatility modelling of global financial crises effects on the Nigerian banks." Open Journal of Statistics vol. 10, no. 2, 2020, pp. 303–324. https://doi.org/10.4236/ojs.2020.102021.Reference 1 

  6. Roni, B and Shouyang, W. "Stock market volatility and return analysis: A systematic literature review." Entropy vol. 22, 2020, https://doi.org/10.3390/e22050522.

  7. Sartaj, H et al. "Stock market volatility: A review of the empirical literature." IUJ Journal of Management vol. 7, no. 1, 2019, https://doi.org/10.11224/IUJ.07.01.15. 

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