VOLATILITY ESTIMATION OF STOCK PRICES USING GARCH METHOD
DOI:
https://doi.org/10.58216/kjri.v3i1.12Keywords:
GARCH, Stylized facts, Volatility clusteringAbstract
Economic decisions are modeled based on perceived distribution of the random variables in the future, assessment and measurement of the variance which has a significant impact on the future profit or losses of particular portfolio. The ability to accurately measure and predict the stock market volatility has a wide spread implications. Volatility plays a very significant role in many financial decisions.
The main purpose of this study is to examine the nature and the characteristics of stock market volatility of Kenyan stock markets and its stylized facts using GARCH models. Symmetric volatility model namly GARCH model was used to estimate volatility of stock returns. GARCH (1, 1) explains volatility of Kenyan stock markets and its stylized facts including volatility clustering, fat tails and mean reverting more satisfactorily.The results indicates the evidence of time varying stock return volatility over the sampled period of time.
In conclusion it follows that in a financial crisis; the negative returns shocks have higher volatility than positive returns shocks.
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References
E. Balaban, (2004), Forecasting exchange rates volatility, working paper.
URL: http://ssrn.com/abstract = 494482.
T. Bollerslev, 1986, Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31: 307 – 328.
I. – Y Chuanga, J - R Lub, and P - H Leea, (2007), Forecasting volatility in the financial markets: a comparison of alternative distribution assumptions: Applied financial Econometrics 17: 1051 – 1060.
Z. Ding, C. Granger and R.Engle (1993), A long Memory Property of Stock returns and new model, Journal of Emperical Finance 1, 83 – 106.
C.Floros, (2008), Modeling Volatility using GARCH MODELS: Evidence from Egypt and Israel, Middle Eastern Financial and Econometrics, 2: 31 – 41.
R.Engle, (1982), Autoregressive Conditional Heteroskedasticity with estimate of variance of U.K inflation, Econometrics, 50: 987 – 1008.
P.Hansen, and A.Lunde (2005a), A forecast comparison of Volatility Models: Does anything Beat a GARCH (1, 1)? Journal of A pplied Econometrics 20: 873 – 889.
P.Hongyu and Z. zhichao, (2006), Forecasting Financial Volatility: Evidence from Chinese stock markets. Working paper in economics and finance no 06/02. University of Durham United Kingdom.
L. Hung – Chung, L. Yen – Hsien and L. Ming – Chih,. (2009), Forecasting China stock markets volatility via GARCH Models under skewed- GED distribution. Journal of money, Investment and Banking, 542 – 547.
D.Nelson (1991), Conditional Autoregressive Conditional Heteroskedasticity in assets returns: A new approach. Econometrica, 59: 347 – 370.
S. Poon and C. Granger, (2003), Forecasting financial market volatility: a review, journal of Economic literature, 41: 478 – 539.
A. Rafique, and Kashif – Ur – Rehman (2011), Comparing the persistency of different frequencies of stock returns volatility in an emerging markets: A case study of Pakistan. African journal of Business management 5: 59 – 67.
A. Wilhelmsson, (2006), GARCH forecasting performance under different distribution assumptions, Journal of Forecasting 25: 561 – 578.