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st: Re: CES with nl


From   "Rodrigo A. Alfaro" <[email protected]>
To   <[email protected]>
Subject   st: Re: CES with nl
Date   Fri, 8 Jun 2007 10:02:31 -0400

Rodolfo,

The formula in your program is different than the one that you wrote in the description of the problem for us. Also, I didn't see how $e is identified. Alwasy, it is a good idea to change the initial values for some numbers that are feasible. The program below runs, for positive values of y, k, n and l.

Good luck, Rodrigo.

/// Modified CES
capture program drop nlces1
program define nlces1
if "`1'" == "?" {
global S_1 "a b c d"
global a=0.8
global b=0.5
global c=1
global d=1
global S_2 "CES with multiplicative error"
exit
}

replace `1' = ($a*($b*k^(-$c)+(1-$b)*l^(-$c))^($d/$c)+(1-$a)*n^($d))^ (-1/$d)
end
clear
set obs 100
drawnorm y n l k
replace y = y^2
replace n = n^2
replace l = l^2
replace k = k^2
nl ces1 y
/// End

----- Original Message ----- From: "Rodolfo Coelho Prates" <[email protected]>
To: <[email protected]>
Sent: Friday, June 08, 2007 9:09 AM
Subject: st: CES with nl



Dear listers,

I�ve tried estimate a nested CES production function with three factors:
capital (k), labor (l) and land (n).

The nested CES production function is:

y=e{a[bk^(-c)+(1-b)l^(-c)]^(d/c)+(1-a)n^d}^(-1/d)

I used nl command and wrote the follow instructions:

program define nlces1

if "`1'" == "?" {
global S_1 "e a b c d"
global a=1
global b=1
global c=1
global d=1
global e=.5
global S_2 "CES with multiplicative error"
exit
}

replace `1' =
$e*(($a*($b*k^(-$c))+(1-$b)*l^(-$c))^($d/$c)+(1-$a)*n^(-$d))^(-1/$d)


end

nl ces1 y

The Stata calculates the interections and print this message:
"cannot calculate derivatives"

What can I do?

Thanks a lot,

Rodolfo

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