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Volatility in Stock Returns

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Part of the book series: India Studies in Business and Economics ((ISBE))

Abstract

Although volatility in returns on equity stocks/shares is inherent, the presence of excessive volatility may not be preferred by a large number of equity investors (in particular, genuine long-term investors).

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Correspondence to Shveta Singh .

Appendices

Annexure 7.1: Glossary of Terms

S. no.

Terms

Meaning

1

Heteroscedasticity

A collection of random variables is heteroscedastic if there are subpopulations that have different variabilities from others

2

Leptokurtosis

Leptokurtosis deals with distributions having fatter tails and narrower and higher ‘peakedness’ at the mean compared to a normal distribution

3

Leverage effect

The condition where the impact of negative shocks is much greater than the positive shocks in driving the departure from normality or vice versa

4

Mean-reverting

‘Mean-reverting’ behaviour of volatility suggests there is a normal level of volatility and deviations from that level are eventually cleared

5

Stationarity

The overall condition wherein the time series appears to have been drawn from a ‘stationary’ process, that is, a stochastic process where the joint probability distribution does not change when shifted in time and space

6

Volatility

A statistical measure of the dispersion of returns for a given security or a market index

7

Volatility clustering

The phrase ‘volatility clustering’ implies that periods of high (low) volatility are followed by periods of high (low) volatility, suggesting the presence of strong clustering of high and low fluctuations of the variable concerned

Annexure 7.2: Ljung-Box Q2 Statistics

Ljung-box statistics

Test statistic

p-value

Q, 12

209.02

0.000

Q, 24

248.64

0.000

Q, 36

260.42

0.000

Q, 48

296.31

0.000

Q, 72

332.09

0.000

Q, 96

352.51

0.000

Q, 120

382.83

0.000

Q, 144

433.08

0.000

Q, 168

483.08

0.000

Q, 192

483.08

0.000

Q, 200

500.59

0.000

Annexure 7.3: Lagrange Multiplier Test

Lagrange multiplier test

Test statistic

p-value

LM, 5

40.51826

0.000

LM, 10

23.10503

0.000

LM, 20

13.26816

0.000

LM, 30

9.091963

0.000

LM, 40

7.006252

0.000

LM, 50

5.976162

0.000

LM, 60

5.184236

0.000

LM, 70

4.73443

0.000

LM, 80

4.238505

0.000

LM, 90

3.867223

0.000

LM, 100

3.627176

0.000

Annexure 7.4: Stationarity Test Statistics

Tests

Statistic value

ADF test for 1 lag (intercept and trend)

−39.04482

Philips–Perron (PP) test (intercept and trend)

−47.04032

Kwiatkowski–Phillips–Schmidt–Shin (KPSS) test statistics

0.076364

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© 2016 Springer Science+Business Media Singapore

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Singh, S., Jain, P.K., Yadav, S.S. (2016). Volatility in Stock Returns. In: Equity Markets in India. India Studies in Business and Economics. Springer, Singapore. https://doi.org/10.1007/978-981-10-0868-9_7

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