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  • #1

    event study with multiple events per ID

    Dear Statalist member,

    I run into an problem of tackling the following problem: I want to perform an event study in stata but my ID's have multiple event dates, so not only one event. How can I take care of this?

    My goal is to create Cumulative Abnormal Returns, starting at t=-6(months) till t=24(months). The CAR has to be formed from every event (if possible) at every ID level.

    My data is as following:
    where event is equal to 0 --> the event is occurring
    Code:
    * Example generated by -dataex-. To install: ssc install dataex
clear
input long date_stock float(ID ret event)
15736 1            . .
15764 1    -.1990291 .
15795 1  -.003787893 .
15825 1      .218251 .
15855 1    .13171028 .
15886 1    .07832323 0
15917 1    .11150897 .
15946 1    .11919007 .
15978 1   -.09087168 .
16009 1    .12709178 .
16037 1    .13483149 0
16070 1    .03394622 .
16100 1    .26060194 .
16128 1  -.072436295 .
16161 1   -.07487568 .
16191 1   -.14606383 .
16219 1   -.04850053 .
16252 1     .1392996 0
16282 1   -.18681698 .
16314 1    -.1390172 .
16344 1    .05219511 .
16373 1     .1617988 .
16405 1   -.08659218 .
16436 1    .05286156 .
19023 2            . .
19052 2  .0005063407 .
19082 2    .00708499 .
19113 2  .0080401935 0
19144 2  -.009471612 .
19173 2    .00654258 .
19205 2   .005500031 .
19236 2 -.0004972764 .
19264 2   .008457715 .
19297 2            0 .
19996 2     .8253576 0
20027 2    .17729734 0
20055 2     .3250689 .
20088 2    .07137905 .
20118 2   -.17464423 .
20146 2     .4102665 .
20178 2   -.15031958 .
20208 2    .13342053 0
20237 2    .12117717 .
20269 2      .120947 0
20300 2   -.12741053 0
20331 2    -.3788476 .
20361 2   -.05760273 0
20391 2    .04269666 .
20422 2    .05775863 .
20453 2   -.22330894 .
20482 2  -.062959015 0
20513 2    .14221719 .
20544 2    -.0299019 0
20573 2    .04042442 .
20605 2    .04468189 .
20635 2    .06090188 .
20664 2  -.006573165 0
20697 2   -.13718574 .
20727 2    -.1109407 .
20758 2   -.05750431 .
20788 2    -.4881025 .
20818 2     -.137068 0
20088 3            . .
20118 3   -.17464423 .
20146 3     .4102665 0
20178 3   -.15031958 .
20208 3    .13342053 0
20237 3    .12117717 .
20269 3      .120947 0
20300 3   -.12741053 .
20331 3    -.3788476 .
20361 3   -.05760273 .
20391 3    .04269666 .
20422 3    .05775863 .
20453 3   -.22330894 .
20482 3  -.062959015 0
20513 3    .14221719 .
20544 3    -.0299019 .
20573 3    .04042442 .
20605 3    .04468189 .
20635 3    .06090188 .
20664 3  -.006573165 .
20697 3   -.13718574 .
20727 3    -.1109407 .
20758 3   -.05750431 .
20788 3    -.4881025 .
20818 3     -.137068 0
19754 4            . .
19782 4    -.2311508 .
19813 4     .3866452 .
19843 4   -.08970364 0
19873 4    .00501914 .
19904 4    -.2645551 .
19935 4    -.1521865 .
19964 4     .2143649 .
19996 4   -.09325253 .
20027 4   -.20001186 .
20055 4   -.08333334 .
20088 4   -.37349495 .
20118 4    -.4840707 .
20146 4    .10656252 .
20178 4    .04563684 0
20208 4    .20996054 .
20237 4   -.23933037 .
20269 4   -.15317804 .
20300 4   -.08122522 .
20331 4    -.7096628 .
20361 4    -.3777605 .
20391 4    .02713986 .
20422 4    -.3105692 .
20453 4     .0117925 .
20482 4   -.09965035 .
20513 4    .10032364 .
20544 4    -.3058823 .
20573 4     .4194915 0
20605 4    .13910447 .
20635 4   -.23637317 .
20664 4   -.11736445 .
20697 4    .09875587 .
20727 4      .309271 0
20758 4      .845946 .
20788 4    -.1551977 .
20818 4     .8544194 0
19600 5            . .
19631 5  .0040160604 .
19662 5    .26800004 0
19691 5    .04022076 0
19723 5    .13798337 0
19754 5   -.09193871 .
19782 5     .7358767 .
19813 5    .04268809 .
19843 5    -.0879611 .
19873 5   -.04844445 .
19904 5    .08360583 .
19935 5   -.22413796 .
19964 5          .18 .
19996 5    -.2419962 0
20027 5    .00248441 .
20055 5    -.3277571 .
20088 5    .03410137 0
20118 5    -.2032086 .
20146 5     .3959732 0
20178 5    .11217954 .
20208 5   .028818415 .
20237 5    .25070035 0
20269 5   -.02799552 .
20300 5    .12039171 .
20331 5    .05964009 0
20361 5   -.08879184 .
20391 5    .09797657 .
20422 5    -.0906887 0
20453 5       -.0848 0
20482 5   -.04603724 .
20513 5    .09896144 .
20544 5    -.1712062 .
20573 5    -.2488263 .
20605 5   -.05803568 0
20635 5    .05687198 0
20664 5    .06188346 .
20697 5     .4231419 .
20727 5     .3181008 .
20758 5   -.13417378 0
20788 5    .28809157 .
20818 5   -.05369398 .
19600 6            . .
19631 6  .0040160604 .
19662 6    .26800004 0
19691 6    .04022076 .
19723 6    .13798337 0
19754 6   -.09193871 0
19782 6     .7358767 0
19813 6    .04268809 0
19843 6    -.0879611 .
19873 6   -.04844445 .
19904 6    .08360583 0
19935 6   -.22413796 .
19964 6          .18 0
19996 6    -.2419962 .
20027 6    .00248441 .
20055 6    -.3277571 .
20088 6    .03410137 .
20118 6    -.2032086 .
20146 6     .3959732 .
20178 6    .11217954 0
20208 6   .028818415 .
20237 6    .25070035 0
20269 6   -.02799552 .
20300 6    .12039171 .
20331 6    .05964009 .
20361 6   -.08879184 .
20391 6    .09797657 .
20422 6    -.0906887 .
20453 6       -.0848 0
20482 6   -.04603724 .
20513 6    .09896144 .
20544 6    -.1712062 .
20573 6    -.2488263 .
20605 6   -.05803568 .
20635 6    .05687198 0
20664 6    .06188346 .
20697 6     .4231419 0
20727 6     .3181008 .
20758 6   -.13417378 .
20788 6    .28809157 .
20818 6   -.05369398 .
19600 7            . .
19631 7  .0040160604 .
19662 7    .26800004 .
19691 7    .04022076 .
19723 7    .13798337 .
19754 7   -.09193871 0
19782 7     .7358767 .
19813 7    .04268809 .
19843 7    -.0879611 .
19873 7   -.04844445 .
19904 7    .08360583 0
19935 7   -.22413796 .
19964 7          .18 .
19996 7    -.2419962 .
20027 7    .00248441 .
20055 7    -.3277571 .
20088 7    .03410137 0
20118 7    -.2032086 .
20146 7     .3959732 .
20178 7    .11217954 0
20208 7   .028818415 .
20237 7    .25070035 .
20269 7   -.02799552 .
20300 7    .12039171 .
20331 7    .05964009 .
20361 7   -.08879184 .
20391 7    .09797657 0
20422 7    -.0906887 .
20453 7       -.0848 .
20482 7   -.04603724 .
20513 7    .09896144 .
20544 7    -.1712062 0
20573 7    -.2488263 .
20605 7   -.05803568 .
20635 7    .05687198 .
20664 7    .06188346 .
20697 7     .4231419 .
20727 7     .3181008 .
20758 7   -.13417378 .
20788 7    .28809157 .
20818 7   -.05369398 .
19600 8            . .
19631 8  .0040160604 .
19662 8    .26800004 .
19691 8    .04022076 .
end
format %d date_stock
    The following code I tried is at basic event study level, but does not counter the multiple events problem:
    Code:
    sort ID date_stock
// variable t will calibrate the events at t=0 and the months before till t=-6 and t=+24 which will be needed for the CAR later on.
by ID: gen t=0 if event==0
//Filling in t for before and after t=0
by ID date_stock: replace t= t[_n-1]+1 if t==.
gsort ID -date
by ID: replace t= t[_n-1]-1 if t==.
sort ID date

//Deleting the dates I do not need (t<-6 and t>24) or ID's which do not have enough of data (e.g. t goes only down till t=-3 where we need at least t=-6) 
gen neg=.
bys ID: replace neg=_N if t<0
gen negg=.
bys ID neg: replace negg=_N if t<0
drop neg
ren negg neg
bys ID: replace neg=neg[_n-1] if neg==.
drop if neg<6
drop if t<-6
drop if t>24

//Generating the NR & AR
bysort ID (t): egen NR_MARM = mean(cond(t<0 & t>-6,ret,.))
gen AR_MARM = ret- NR_MARM
    As you can imagine, this code does not work for multiple events.
    Can somebody help me out here? Thansk in advance!

    Best,
    Arslan

    Tags: None
  • #2
    What i have found in the forums is the following:
    Creating a new variable for each event. But then one company may have overlapping windows. and then I am puzzled for collapsing all the variables for AR's I have created.
    the following code I have used:
    Code:
    by ID: egen count=count(event)
by ID: gen fakedate = _n
forval i=1/61 {
by ID: generate datezero_`i'=fakedate if event==`i'
by ID: egen datezero`i'=min(datezero_`i')
by ID: gen tau`i'=fakedate-datezero`i'
by ID: generate event_window`i'=1 if tau`i'>=0 & tau`i'<=24
by ID: generate estimation_window`i'=1 if tau`i'>=-12 & tau`i'<0
}
//

gen NR_MARM=.
forval i=1/61 {
by ID: egen NR_MARM`i' = mean(cond(tau`i'<0 & tau`i'>-11,ret,.))
}
//

egen NR_MARM=rowmean(NR_MARM1 NR_MARM2 NR_MARM3 NR_MARM4 NR_MARM5 NR_MARM6 NR_MARM7 NR_MARM8 NR_MARM9 NR_MARM10 NR_MARM11 NR_MARM12 NR_MARM13 NR_MARM14 NR_MARM15 NR_MARM16 NR_MARM17 NR_MARM18 NR_MARM19 NR_MARM20 NR_MARM21 NR_MARM22 NR_MARM23 NR_MARM24 NR_MARM25 NR_MARM26 NR_MARM27 NR_MARM28 NR_MARM29 NR_MARM30 NR_MARM31 NR_MARM32 NR_MARM33 NR_MARM34 NR_MARM35 NR_MARM36 NR_MARM37 NR_MARM38 NR_MARM39 NR_MARM40 NR_MARM41 NR_MARM42 NR_MARM43 NR_MARM44 NR_MARM45 NR_MARM46 NR_MARM47 NR_MARM48 NR_MARM49 NR_MARM50 NR_MARM51 NR_MARM52 NR_MARM53 NR_MARM54 NR_MARM55 NR_MARM56 NR_MARM57 NR_MARM58 NR_MARM59 NR_MARM60 NR_MARM61)
    perhaps someone can help me from here on?

    Comment

    • #3
      So I have created for every number of event per company a new variable with event =0 at every tau (which counts the months before &after event). With every variable I have calculated a new Normal Return.
      Now I have to get the Abnormal Returns, ofcourse I need 1 variable, which encounters all of these NRs.
      When I use rowmean for creating one variable. That variable is meaningless related to tau.
      Code:
      * Example generated by -dataex-. To install: ssc install dataex
clear
input float(date ID tau1 NR_MARM1 tau2 NR_MARM2 tau3 NR_MARM3 tau4 NR_MARM4)
  1 1 -5  .036786072 -10   .05470963 -17  .02429135   .           .
  2 1 -4  .036786072  -9   .05470963 -16  .02429135   .           .
  3 1 -3  .036786072  -8   .05470963 -15  .02429135   .           .
  4 1 -2  .036786072  -7   .05470963 -14  .02429135   .           .
  5 1 -1  .036786072  -6   .05470963 -13  .02429135   .           .
  6 1  0  .036786072  -5   .05470963 -12  .02429135   .           .
  7 1  1  .036786072  -4   .05470963 -11  .02429135   .           .
  8 1  2  .036786072  -3   .05470963 -10  .02429135   .           .
  9 1  3  .036786072  -2   .05470963  -9  .02429135   .           .
 10 1  4  .036786072  -1   .05470963  -8  .02429135   .           .
 11 1  5  .036786072   0   .05470963  -7  .02429135   .           .
 12 1  6  .036786072   1   .05470963  -6  .02429135   .           .
 13 1  7  .036786072   2   .05470963  -5  .02429135   .           .
 14 1  8  .036786072   3   .05470963  -4  .02429135   .           .
 15 1  9  .036786072   4   .05470963  -3  .02429135   .           .
 16 1 10  .036786072   5   .05470963  -2  .02429135   .           .
 17 1 11  .036786072   6   .05470963  -1  .02429135   .           .
 18 1 12  .036786072   7   .05470963   0  .02429135   .           .
 19 1 13  .036786072   8   .05470963   1  .02429135   .           .
 20 1 14  .036786072   9   .05470963   2  .02429135   .           .
 21 1 15  .036786072  10   .05470963   3  .02429135   .           .
 22 1 16  .036786072  11   .05470963   4  .02429135   .           .
 23 1 17  .036786072  12   .05470963   5  .02429135   .           .
 24 1 18  .036786072  13   .05470963   6  .02429135   .           .
109 2 -3  .003795665 -10 .0029069956 -11  .08515206 -17    .1492366
110 2 -2  .003795665  -9 .0029069956 -10  .08515206 -16    .1492366
111 2 -1  .003795665  -8 .0029069956  -9  .08515206 -15    .1492366
112 2  0  .003795665  -7 .0029069956  -8  .08515206 -14    .1492366
113 2  1  .003795665  -6 .0029069956  -7  .08515206 -13    .1492366
114 2  2  .003795665  -5 .0029069956  -6  .08515206 -12    .1492366
115 2  3  .003795665  -4 .0029069956  -5  .08515206 -11    .1492366
116 2  4  .003795665  -3 .0029069956  -4  .08515206 -10    .1492366
117 2  5  .003795665  -2 .0029069956  -3  .08515206  -9    .1492366
118 2  6  .003795665  -1 .0029069956  -2  .08515206  -8    .1492366
141 2  7  .003795665   0 .0029069956  -1  .08515206  -7    .1492366
142 2  8  .003795665   1 .0029069956   0  .08515206  -6    .1492366
143 2  9  .003795665   2 .0029069956   1  .08515206  -5    .1492366
144 2 10  .003795665   3 .0029069956   2  .08515206  -4    .1492366
145 2 11  .003795665   4 .0029069956   3  .08515206  -3    .1492366
146 2 12  .003795665   5 .0029069956   4  .08515206  -2    .1492366
147 2 13  .003795665   6 .0029069956   5  .08515206  -1    .1492366
148 2 14  .003795665   7 .0029069956   6  .08515206   0    .1492366
149 2 15  .003795665   8 .0029069956   7  .08515206   1    .1492366
150 2 16  .003795665   9 .0029069956   8  .08515206   2    .1492366
151 2 17  .003795665  10 .0029069956   9  .08515206   3    .1492366
152 2 18  .003795665  11 .0029069956  10  .08515206   4    .1492366
153 2 19  .003795665  12 .0029069956  11  .08515206   5    .1492366
154 2 20  .003795665  13 .0029069956  12  .08515206   6    .1492366
155 2 21  .003795665  14 .0029069956  13  .08515206   7    .1492366
156 2 22  .003795665  15 .0029069956  14  .08515206   8    .1492366
157 2 23  .003795665  16 .0029069956  15  .08515206   9    .1492366
158 2 24  .003795665  17 .0029069956  16  .08515206  10    .1492366
159 2 25  .003795665  18 .0029069956  17  .08515206  11    .1492366
160 2 26  .003795665  19 .0029069956  18  .08515206  12    .1492366
161 2 27  .003795665  20 .0029069956  19  .08515206  13    .1492366
162 2 28  .003795665  21 .0029069956  20  .08515206  14    .1492366
163 2 29  .003795665  22 .0029069956  21  .08515206  15    .1492366
164 2 30  .003795665  23 .0029069956  22  .08515206  16    .1492366
165 2 31  .003795665  24 .0029069956  23  .08515206  17    .1492366
166 2 32  .003795665  25 .0029069956  24  .08515206  18    .1492366
167 2 33  .003795665  26 .0029069956  25  .08515206  19    .1492366
168 2 34  .003795665  27 .0029069956  26  .08515206  20    .1492366
144 3 -2  -.17464423  -4  .028434226  -6  .06798007 -13  -.04614894
145 3 -1  -.17464423  -3  .028434226  -5  .06798007 -12  -.04614894
146 3  0  -.17464423  -2  .028434226  -4  .06798007 -11  -.04614894
147 3  1  -.17464423  -1  .028434226  -3  .06798007 -10  -.04614894
148 3  2  -.17464423   0  .028434226  -2  .06798007  -9  -.04614894
149 3  3  -.17464423   1  .028434226  -1  .06798007  -8  -.04614894
150 3  4  -.17464423   2  .028434226   0  .06798007  -7  -.04614894
151 3  5  -.17464423   3  .028434226   1  .06798007  -6  -.04614894
152 3  6  -.17464423   4  .028434226   2  .06798007  -5  -.04614894
153 3  7  -.17464423   5  .028434226   3  .06798007  -4  -.04614894
154 3  8  -.17464423   6  .028434226   4  .06798007  -3  -.04614894
155 3  9  -.17464423   7  .028434226   5  .06798007  -2  -.04614894
156 3 10  -.17464423   8  .028434226   6  .06798007  -1  -.04614894
157 3 11  -.17464423   9  .028434226   7  .06798007   0  -.04614894
158 3 12  -.17464423  10  .028434226   8  .06798007   1  -.04614894
159 3 13  -.17464423  11  .028434226   9  .06798007   2  -.04614894
160 3 14  -.17464423  12  .028434226  10  .06798007   3  -.04614894
161 3 15  -.17464423  13  .028434226  11  .06798007   4  -.04614894
162 3 16  -.17464423  14  .028434226  12  .06798007   5  -.04614894
163 3 17  -.17464423  15  .028434226  13  .06798007   6  -.04614894
164 3 18  -.17464423  16  .028434226  14  .06798007   7  -.04614894
165 3 19  -.17464423  17  .028434226  15  .06798007   8  -.04614894
166 3 20  -.17464423  18  .028434226  16  .06798007   9  -.04614894
167 3 21  -.17464423  19  .028434226  17  .06798007  10  -.04614894
168 3 22  -.17464423  20  .028434226  18  .06798007  11  -.04614894
133 4 -3    .0777472 -14  -.13249584 -27 -.18986724 -32  -.03003715
134 4 -2    .0777472 -13  -.13249584 -26 -.18986724 -31  -.03003715
135 4 -1    .0777472 -12  -.13249584 -25 -.18986724 -30  -.03003715
136 4  0    .0777472 -11  -.13249584 -24 -.18986724 -29  -.03003715
137 4  1    .0777472 -10  -.13249584 -23 -.18986724 -28  -.03003715
138 4  2    .0777472  -9  -.13249584 -22 -.18986724 -27  -.03003715
139 4  3    .0777472  -8  -.13249584 -21 -.18986724 -26  -.03003715
140 4  4    .0777472  -7  -.13249584 -20 -.18986724 -25  -.03003715
141 4  5    .0777472  -6  -.13249584 -19 -.18986724 -24  -.03003715
142 4  6    .0777472  -5  -.13249584 -18 -.18986724 -23  -.03003715
143 4  7    .0777472  -4  -.13249584 -17 -.18986724 -22  -.03003715
144 4  8    .0777472  -3  -.13249584 -16 -.18986724 -21  -.03003715
145 4  9    .0777472  -2  -.13249584 -15 -.18986724 -20  -.03003715
146 4 10    .0777472  -1  -.13249584 -14 -.18986724 -19  -.03003715
147 4 11    .0777472   0  -.13249584 -13 -.18986724 -18  -.03003715
148 4 12    .0777472   1  -.13249584 -12 -.18986724 -17  -.03003715
149 4 13    .0777472   2  -.13249584 -11 -.18986724 -16  -.03003715
150 4 14    .0777472   3  -.13249584 -10 -.18986724 -15  -.03003715
151 4 15    .0777472   4  -.13249584  -9 -.18986724 -14  -.03003715
152 4 16    .0777472   5  -.13249584  -8 -.18986724 -13  -.03003715
153 4 17    .0777472   6  -.13249584  -7 -.18986724 -12  -.03003715
154 4 18    .0777472   7  -.13249584  -6 -.18986724 -11  -.03003715
155 4 19    .0777472   8  -.13249584  -5 -.18986724 -10  -.03003715
156 4 20    .0777472   9  -.13249584  -4 -.18986724  -9  -.03003715
157 4 21    .0777472  10  -.13249584  -3 -.18986724  -8  -.03003715
158 4 22    .0777472  11  -.13249584  -2 -.18986724  -7  -.03003715
159 4 23    .0777472  12  -.13249584  -1 -.18986724  -6  -.03003715
160 4 24    .0777472  13  -.13249584   0 -.18986724  -5  -.03003715
161 4 25    .0777472  14  -.13249584   1 -.18986724  -4  -.03003715
162 4 26    .0777472  15  -.13249584   2 -.18986724  -3  -.03003715
163 4 27    .0777472  16  -.13249584   3 -.18986724  -2  -.03003715
164 4 28    .0777472  17  -.13249584   4 -.18986724  -1  -.03003715
165 4 29    .0777472  18  -.13249584   5 -.18986724   0  -.03003715
166 4 30    .0777472  19  -.13249584   6 -.18986724   1  -.03003715
167 4 31    .0777472  20  -.13249584   7 -.18986724   2  -.03003715
168 4 32    .0777472  21  -.13249584   8 -.18986724   3  -.03003715
128 5 -2 .0040160604  -3   .13600805  -4  .10407896 -13   .07678926
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164 6 34 .0040160604  32   .10407896  31  .11255506  30    .0716563
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167 6 37 .0040160604  35   .10407896  34  .11255506  33    .0716563
168 6 38 .0040160604  36   .10407896  35  .11255506  34    .0716563
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165 7 32   .11255506  27    .1111601  21 .011435825  18 -.034937955
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167 7 34   .11255506  29    .1111601  23 .011435825  20 -.034937955
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128 8 -8   .16240662 -12   .08558926 -14  .04856756 -21   -.0243543
129 8 -7   .16240662 -11   .08558926 -13  .04856756 -20   -.0243543
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131 8 -5   .16240662  -9   .08558926 -11  .04856756 -18   -.0243543
end

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