How does tax rate affect P/E ratio

Hi everyone,

I can't figure out the answer to the question: "How does tax rate affect P/E ratio?" As the tax rate rate increases, I am assuming that EV and Equity Value decreases, and so does the net income. The question comes to which one decreases more: Equity Value or Net income?

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I once got this question in an interview and my interviewer said this was the answer:

First of all, if you assume only that you are only looking forward one year, then PE goes up because proportionally less is taken from price than earnings. If the tax goes from 20% to 21% - govt takes certain % of FCF, and rest goes to debt holders and then equity holders. Thus the share to equity holders goes down If I have PE 20, E/P = .05, means close approximation of cost of equity (return to get from equity). If you assume the company is a mature business (capex equal to depreciation), the cost of equity should not change. Therefore the PE does not change either as EP must be similar to cost of equity.

Essentially, the E/P is an approximation for cost of equity for a mature company, which should not change (according to him) and therefore P/E also does not change.

Unfortunately, this is one of those questions that will have a different answer depending on who is asking...

 

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