Difference between revisions of "Feldblum.Surplus - Challenge 02"

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(Created page with "{| class='wikitable' |- | <span style="color: red;">'''Solved!'''</span> Shout-out to Mark Maenche! ''(Apr 6-2019, in 12 hrs, 47 mins after posting)''. |} * tax rate that ma...")
 
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There was an error in the problem so the submitted answers had to be corrected. This was not the fault of the submitters so I have kept their shout-outs intact but have updated the answers to be consistent with the current version of the problem.
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* tax rate that makes the decision between liquidation and continued operations irrelevant: '''29.8%'''
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* tax rate that makes the decision between liquidation and continued operations irrelevant: '''37.0%'''
: &nbsp;&nbsp; ==> solve for <u>tax</u>: (invested capital) = (original pre-tax income) &sdot; (1 - tax) / (% CoC)
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: &nbsp;&nbsp; ==> solve for <u>tax</u>: (invested capital - CoL) = (original pre-tax income) &sdot; (1 - tax) / (% CoC)
: &nbsp;&nbsp; ==> 292.5 = 50 &sdot; (1 - tax) / 0.12
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: &nbsp;&nbsp; ==> (292.5 - 30) = 50 &sdot; (1 - tax) / 0.12
: &nbsp;&nbsp; ==> tax = <u>29.8</u>%
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: &nbsp;&nbsp; ==> tax = <u>37.0</u>%
  
* pre-tax income that makes the decision between liquidation and continued operations irrelevant: '''54.0'''
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* pre-tax income that makes the decision between liquidation and continued operations irrelevant: '''48.462'''
: &nbsp;&nbsp; = (invested capital) / PV(future income) x (original pre-tax income)
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: &nbsp;&nbsp; = (invested capital - CoL) * CoC / (1 - %tax)
: &nbsp;&nbsp; = 292.5 / 270.8 * 50
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: &nbsp;&nbsp; = (292.5 - 30) * 0.12 / (1- %tax)
: &nbsp;&nbsp; = <u>54.0</u>
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: &nbsp;&nbsp; = <u>48.462</u>
  
 
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Revision as of 02:51, 19 April 2019

There was an error in the problem so the submitted answers had to be corrected. This was not the fault of the submitters so I have kept their shout-outs intact but have updated the answers to be consistent with the current version of the problem.

Solved! Shout-out to Mark Maenche! (Apr 6-2019, in 12 hrs, 47 mins after posting).
  • tax rate that makes the decision between liquidation and continued operations irrelevant: 37.0%
   ==> solve for tax: (invested capital - CoL) = (original pre-tax income) ⋅ (1 - tax) / (% CoC)
   ==> (292.5 - 30) = 50 ⋅ (1 - tax) / 0.12
   ==> tax = 37.0%
  • pre-tax income that makes the decision between liquidation and continued operations irrelevant: 48.462
   = (invested capital - CoL) * CoC / (1 - %tax)
   = (292.5 - 30) * 0.12 / (1- %tax)
   = 48.462
Honorable Mention! Chris B. (Apr 6-2019, in 19 hrs, 9 mins after posting).