COMPARING THE PERSISTENCY OF DIFFERENT FREQUENCIES OF STOCK RETURNS VOLATILITY IN AN EMERGING MARKET: A CASE STUDY OF PAKISTAN

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Abstract

This study aims at comparing the variance structure of high (daily) and low (weekly, monthly) frequencies of data. By employing ARCH (1) and GARCH (1, 1) models, the study finds evidence that the intensity of the shocks are not equal for all the series. The study first finds that statistical properties of the three data series of returns are substantially different from one another and the persistence of conditional volatility is also different for the three series. The presence of persistency are more in the daily stock returns as compared to other data sets, which shows that the volatility models are sensitive to the frequencies of data series. In simple the results reveal that the variance structure of high frequency data is dissimilar from the low frequencies of data and variance structure in the daily data is much linked with the stylized facts associated with stock returns volatility.

Keywords: ARCH, GARCH models, KSE 100-index, persistence.

1. Introduction

The most significant topic of research in the financial markets for the last three decades is the stock returns volatility. After the publication of Engle (1982) paper, on ARCH, the volatility has received considerable attention from researchers, practitioners and policy makers. This interest is due to the reason that the volatility is a risk measure and different participants use this for different reasons. The volatility is high for the developing and developed countries in recent years but is much higher for the developing countries. So volatility study is more important in the developing countries. After the crash of 1987, the need for volatility measurement is the focus ...

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