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Feedback trading behavior in Dhaka Stock Exchange (DSE ...

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Table 2: Autocorrelation estimation of GARCH (1, 1) model<br />

Parameters <strong>DSE</strong> Gen <strong>DSE</strong> 20<br />

R t = α + ρR t – 1 + є t<br />

α 0.0003* -0.0002<br />

p-value 0.0840 0.3569<br />

ρ 0.1864*** 0.2053***<br />

p-value 0.0000 0.0000<br />

2<br />

2<br />

2<br />

t = + <br />

t 1<br />

+ <br />

t 1<br />

+ t<br />

0<br />

1.02E-06*** 9.19E – 06***<br />

p-value 0.0001 0.0000<br />

0.1734*** 0.2221***<br />

0<br />

p-value 0.0000 0.0000<br />

<br />

1<br />

0.8362*** 0.7146***<br />

p-value 0.0000 0.0000<br />

Durb<strong>in</strong>-Watson stat. 2.0862 2.1207<br />

F statistics 5.1729 5.4404<br />

Log likelihood 5209.091 5905.492<br />

Akaike <strong>in</strong>fo criterion -6.5574 -6.4601<br />

Schwarz criterion -6.5326 -6.4214<br />

* Significant at 10% level; ***Significant at 1 % level.<br />

Shiller-Sentana-Wadhwani (SSW) model is widely applied <strong>in</strong> f<strong>in</strong>ance literature 2<br />

to divide the total autocorrelation <strong>in</strong>to two parts; constant autocorrelation and<br />

autocorrelation depend<strong>in</strong>g on the volatility of returns. The model has a testable<br />

implication that dur<strong>in</strong>g periods of low volatility returns are positively<br />

autocorrelated and dur<strong>in</strong>g periods of high volatility return autocorrelation turns<br />

negative. The reversal <strong>in</strong> the sign of return autocorrelation is consistent with the<br />

presence of positive feedback traders <strong>in</strong> the stock market. The model has two<br />

<strong>in</strong>built autocorrelation parameters that help to capture effect of feedback <strong>trad<strong>in</strong>g</strong><br />

. 3 We use this specific characteristic to provide empirical evidence on the<br />

presence of positive feedback traders <strong>in</strong> <strong>DSE</strong>. Asymmetric GARCH models are<br />

comb<strong>in</strong>ed with SSW (Shiller, 1984; Sentana and Wadhwani, 1992) theoretical<br />

model that provides a testable implication for feedback <strong>trad<strong>in</strong>g</strong> . The model and<br />

the empirical results are provided <strong>in</strong> table 3. 4<br />

In the model, impact of feedback trader <strong>in</strong> the autocorrelation structure of return<br />

series are given by the sign of and 1<br />

<br />

2 .<br />

Follow<strong>in</strong>g Sentana and Wadhwani<br />

(1992), negative feedback <strong>trad<strong>in</strong>g</strong> dom<strong>in</strong>ates at low volatility levels and positive<br />

feedback <strong>trad<strong>in</strong>g</strong> dom<strong>in</strong>ates at high levels of volatility. When the volatility is zero,<br />

the autocorrelation is captured by the coefficient of y<br />

1. As the volatility rises, the<br />

1<br />

<br />

2 One important exception <strong>in</strong> recent years is the work by Dean and Faff (2008) who uses Markov switch<strong>in</strong>g<br />

regime model to document feedback <strong>trad<strong>in</strong>g</strong> <strong>in</strong>duced sign reversal <strong>in</strong> autocorrelation structure <strong>in</strong> Australa<strong>in</strong><br />

equity and bond <strong>in</strong>dex. Their f<strong>in</strong>d<strong>in</strong>gs are similar to those of previous f<strong>in</strong>d<strong>in</strong>gs us<strong>in</strong>g other models.<br />

3 See Sentana and Wadhwani (1992) for the derivation of the model.<br />

4 Sentana and Wadhwani (1992) model does not have the term . Koutmos (1997) <strong>in</strong>troduced the<br />

term with SW (1992) model to capture the asymmetric impact of feedback <strong>trad<strong>in</strong>g</strong> <strong>in</strong> up and down<br />

market.We use this term for the same purpose.

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