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Re: st: RE: Fama-MacBeth regression


From   Adrian Stork <[email protected]>
To   [email protected]
Subject   Re: st: RE: Fama-MacBeth regression
Date   Sat, 4 Jan 2014 12:34:13 +0100

Thank you so much, Richard!
That's exactly what I needed. This weekend's going to be great! :-)

2014/1/3 Richard Herron <[email protected]>:
> You code fails because you subset to both month *and* portfolio, which
> is a regression with one data point. I would -reshape long-, then use
> -statsby- to run the cross-sectional regression. You could also
> -reshape long- then use -xtfmb- from SSC.
>
> Does the following help?
>
> * * * * *
>
> clear
>
> * generate test data
> set obs 200
> generate date = _n - 1 + ym(1987, 1)
> format date %tm
> foreach v of newlist bm1 bm2 bm3 size1 size2 size3 {
>  generate ret`v' = 5 + 10*rnormal()
>  generate beta`v' = 0.5 + runiform()
> }
> list in 1/10
>
> * reshape to long
> reshape long beta ret, i(date) j(portfolio) string
> preserve // I'll show two ways to do the Fama-MacBeth
>
> * then run cross-sectional regression each month
> statsby, by(date) clear: regress ret beta
> format date %tm
> list in 1/10
>
> * generate time series means and SEs
> summarize, detail
> collapse (mean) mean_beta = _b_beta ///
>  mean_alpha = _b_cons ///
>  (semean) se_beta = _b_beta ///
>  se_alpha = _b_cons
> list
>
> * could also use xtfmb package from SSC
> restore
> encode portfolio, generate(p)
> xtset p date
> xtfmb ret beta
>
> On Fri, Jan 3, 2014 at 2:08 PM, Francis, Richard N <[email protected]> wrote:
>> Adrian,
>>
>> I'm sorry. Hope you find what you need!
>>
>> Rick Francis
>> Associate Professor
>> Department of Accounting
>> College of Business Administration
>> University of Texas at El Paso
>> 500 W. University Avenue
>> El Paso, TX  79968
>> Office: 915-747-7953
>> FAX: 915-747-8618
>> Email:  [email protected]
>>
>> -----Original Message-----
>> From: [email protected] [mailto:[email protected]] On Behalf Of Adrian Stork
>> Sent: Friday, January 03, 2014 12:02 PM
>> To: [email protected]
>> Subject: Re: st: RE: Fama-MacBeth regression
>>
>> Dear Rick
>>
>> Thank you for answering. I know about that side and that code and I also would use it but unfortunately to use it I would need to get my dataset (as described below) into a panel dataset which as simple as it sounds at the beginning is not as easy because I have 306 rows (i.e. months)  and 201 columns (one column for the date, 100 columns for the portfolios, and 100 columns for the estimated coefficients from first-pass regressions). And simply reshaping does not help because it only reshapes either the portfolios or the coefficients).
>> Also Mitch Petersen's fm-code does not include the first-pass regression.
>>
>> Best,
>> Adrian
>>
>> 2014/1/3 Francis, Richard N <[email protected]>:
>>> Adrian,
>>>
>>> Attached is the Stata code for the FM regression.
>>>
>>> Code is from Mitch Petersen (http://www.kellogg.northwestern.edu/faculty/petersen/htm/papers/se/se_programming.htm).
>>>
>>> Good luck!
>>>
>>> Rick Francis
>>> Associate Professor
>>> Department of Accounting
>>> College of Business Administration
>>> University of Texas at El Paso
>>> 500 W. University Avenue
>>> El Paso, TX  79968
>>> Office: 915-747-7953
>>> FAX: 915-747-8618
>>> Email:  [email protected]
>>>
>>>
>>> -----Original Message-----
>>> From: [email protected]
>>> [mailto:[email protected]] On Behalf Of Adrian
>>> Stork
>>> Sent: Friday, January 03, 2014 11:23 AM
>>> To: [email protected]
>>> Subject: st: Fama-MacBeth regression
>>>
>>> Dear all
>>>
>>> I'm trying to run a second-pass cross-sectional regression which is part of what finance researchers call a Fama-MacBeth regression.
>>> I managed to get the beta-coefficients from the first-pass regression but now I'm stuck at the second-pass CSR.
>>> So my dataset looks currently like this (time period starts in 1987m7 and ends 2012m12):
>>>
>>>
>>>                    ________________portfolios________________________
>>>        _________________coefficients__________________________
>>>
>>> date2   exsize_1        exsize_2        exsize_3        exbm_1  exbm_2  exbm_3  betaexsize_1    betaexsize_2    betaexsize_3    betaexbm_1      betaexbm_2      betaexbm_3
>>> .... etc.
>>> 1989m6  .31     3.41    3.10    2.83    2.25    1.02    .64     .68     .67     .63     .76     .65
>>> 1989m7  1.16    1.85    4.93    9.40    3.31    4.65    .64     .68     .67     .63     .76     .65
>>> 1989m8  2.45    2.94    6.85    4.50    3.82    4.76    .64     .68     .67     .63     .76     .65
>>> 1989m9  -.60    1.38    -1.56   2.69    -.72    -1.38   .64     .68     .67     .63     .76     .65
>>> 1989m10 -1.46   -1.41   -.89    .11     -1.25   1.89    .64     .68     .67     .63     .76     .65
>>> etc.
>>>
>>> Now I need to regress at each individual month all the portfolios against the their estimated coefficient.
>>> But that is exactly what I'm not able to manage. In the end there should be one figure at each time period t which corresponds to the new coefficient from the individual cross-sectional regressions As you can see I merely added the prefix "beta" for the coefficients with respect to its portfolio.
>>>
>>> The best I could come with is the following:
>>>
>>> .ds ex*
>>>
>>> .forval i=330/635{
>>> .foreach v of varlist `r(varlist)' {
>>> .       regress `v' beta`v' if date2==`i'
>>> .       gen lambda`v' = _b[beta`v']
>>> .}
>>> .}
>>>
>>> but here the error message is "insufficient observations" although all obsevations are nonmissing.
>>> I know there is a code from Kellog University
>>> (http://www.kellogg.northwestern.edu/faculty/petersen/htm/papers/se/fm
>>> .ado) but that does not include the first pass regression and brings
>>> me to the same point. Also I want to understand the entire procedure and follow my results.
>>> Thus, does anyone have an idea how to retrieve the second pass regression coefficients (the beta coefficient in the second pass regression is perfectly fine and enough - no need for the constant or the residuals right now).
>>> I guess reshaping the dataset might also be an alternative beginning compared to the code I wrote above.
>>>
>>> Best,
>>> Adrian
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