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  • event study using GARCH and obtaining Cumulative abnormal volatility

    Dear statalisters,

    I am currently doing an event study to test the effect of terrorists events on the volatility of stock markets using GARCH(1,1) . However my knowledge of stata is small and I am knew to these kind of studies and so not sure how to proceed.

    My main equation and variance equation are:

    (1) (Rit = a +bRt*+epsilon)
    Rit is the country i's return of stock index and R* is return of a global stock index.
    (2) hit = y0 +y1hit-1 +y2 epsilon^2it-1

    The GARCH (1,1) model is used to obtain the volatility for the period prior to the event. window = (n1,n2)

    I have to obtain the multiplicative effect of the event on the volatility in order to formulate the cumulative abnormal volatility (CAV = SUM(Mt) -(n2-n1+1)). Which is formulated by:


    Click image for larger version

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    Where Mt is the multiplicative effect of the event, N is the number of events in the sample, epsilon is obtained from the mean model. And E[hit|omegat*] is the forcasted volatility conditional to information set omega at time t. and E[hit|omegat*] ~ N(ARt,Mt*E[hit|omegat*]). ARt is the abnormal return.

    As I said my stata knowledge is small, just as my experience with GARCH models and could use some help in order to proceed.

    Do I get the Mt by predicting residuals (epsilon) and variance (E[hit|omegat*]) and filling these in the equation and formulate it in stata? Or would that be wrong? Or should I do a second regression in which I use the event-window (period of 10 days) instead of the estimation-window (500 pre-event trading days)?

    Thank you in advance,

    Rosa
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