# Loglinearizing CES function

**URL:** <https://forum.dynare.org/t/loglinearizing-ces-function/14970>\
**Category:** General DSGE Modeling\
**Created:** [6 January 2020 00:02 UTC](https://forum.dynare.org/t/loglinearizing-ces-function/14970 "2020-01-06T00:02:00Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![amina0621](https://forum.dynare.org/letter_avatar_proxy/v4/letter/a/54ee81/32.png) [@amina0621](https://forum.dynare.org/u/amina0621)\
**Post date:** [6 January 2020 00:02 UTC](https://forum.dynare.org/t/loglinearizing-ces-function/14970/1 "2020-01-06T00:02:00Z")

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Hello all,

I am trying to code

> \widetilde{m\_{t}} \equiv \left[\int\_{0}^{1}(m\_{jt}S\_{jt-1}^{-\theta})^{1-\eta}\right]^{\frac{1}{1-\eta}}

in dynare. I log-linearized it to

\widetilde{\widetilde{m\_{t}^{d}}}=\widetilde{m\_{jt}}-\theta\widetilde{S\_{t-1}}. Is this a good step to coding CES production function in dynare?

Sincerely,  
Amina

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**Author:** ![jpfeifer](https://forum.dynare.org/user_avatar/forum.dynare.org/jpfeifer/32/5044_2.png) [@jpfeifer](https://forum.dynare.org/u/jpfeifer)\
**Post date:** [6 January 2020 07:53 UTC](https://forum.dynare.org/t/loglinearizing-ces-function/14970/2 "2020-01-06T07:53:23Z")

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Without knowing what exactly you are trying to do it is impossible to tell.