Posted: 26 Nov 2009 at 13:08 | IP Logged
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It might help you to think of the becker question as asking what the bonus EQUALS, and not how it is CALCULATED. When you first read their question, it might make your mind run in circles trying to figure out how to calculate a bonus based on a net number that includes the bonus we are calculating. That is done through an iterative calculation, but is not really what Becker is emphasizing.
All they are asking is for is what the bonus is EQUIVALENT too. So, if net income is 360K, the tax rate is 40%, then as you say pretax income is $600K. If the bonus is EQUAL to 10% of pretax income, then it must be $60K.
Again, to actually CALCULATE a bonus payment equivalent to 10% of pretax income, but taking into account the bonus payment, would require an iterative calculation which is beyond the scope of their question.
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