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  • Testing Fama-French 4 factors in different VIX regimes

    Hi there!

    I am currently in the process of testing the Fama-French 4 factors in 3 different VIX regimes. I wonder if I correctly obtained my results, hence is why I would you to double-check me. Specifically, I want to see whether the Size Anomaly holds when market volatility is high versus low versus moderate.

    This is how my data looks like:
    permno name exceldate price marketcap return return(/100) mkt smb hml rf mom vix
    10078 SUN MICROSYSTEMS INC; COM NONE; CONS 36556 78.5625 122644390 1.4527845 0.01452785 2.28 10.86 -10.15 0.43 17.74 24.950001
    10104 ORACLE CORP; COM NONE; CONS 36556 49.95313 142233745 -10.847732 -0.1084773 2.28 10.86 -10.15 0.43 17.74 24.950001
    10107 MICROSOFT CORP; COM NONE; CONS 36556 97.875 505037447 -16.167024 -0.1616702 2.28 10.86 -10.15 0.43 17.74 24.950001
    10108 SUNGARD DATA SYSTEMS INC; COM NONE; CONS 36556 29 3718873 22.1052632 0.22105263 2.28 10.86 -10.15 0.43 17.74 24.950001
    10137 ALLEGHENY ENERGY INC; COM NONE; CONS 36556 27.4375 3030087.75 1.8561485 0.01856149 2.28 10.86 -10.15 0.43 17.74 24.950001
    10138 T ROWE PRICE ASSOC INC; COM NONE; CONS 36556 38.875 4691357.25 5.2453469 0.05245347 2.28 10.86 -10.15 0.43 17.74 24.950001
    These are my commands in stata:

    generate date = exceldate + td(30dec1899)
    format date %td
    generate excret = return - rf
    egen id = group(permno)
    xtset id date, monthly

    generate high = 0
    replace high = 1 if vix >30
    generate mid = 0
    replace mid = 1 if vix <30 & vix >20
    generate low = 0
    replace low = 1 if vix <20

    xtreg excret mkt smb hml mom i.high#c.smb i.low#c.smb, fe

    See my output below. Is this the correct way to see the differences in the SMB coefficient in different regimes?

    I would interpret it as following: the SMB premium is 0.55% per month in a moderate VIX regime, it decreases to 0.35% in a low VIX regime and it increases to 1.15% in a high VIX regime.

    Click image for larger version

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    I want to kindly thank you for looking at questions.

    Regards,


    Thomas Demmer
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