The target company's P/E plays a role: Since the target company has a P/E of 10, this implies that their earnings yield (inverse of P/E) is 10%. Whatever consideration is used during the transaction, the cost of financing must be less than 10% in order for the transaction to be Accretive. In this case you're solving for the break even interest rate however, so that would be 10% assuming no taxes. Assuming there are taxes, then the interest tax-shield comes into effect and to find the breakeven rate you would solve r / (1-t) = 10% where t is the tax rate and r the interest rate you're solving for.

 

If you purchase a company with 10M EBITDA and 10x P/E multiple acquiring a company with 20x P/E multiple with 50% debt/25% equity/25% cash is it Accretive or dilutive? (tax rate 40%. interest rate 5%, no foregone interest on cash)

Is this correct?

My answer: Sellers yield (inverse of P/E)- 5%. Buyers after tax cost of debt= 3%. Cost of Equity= 10%. Cost of cash= 0

Cost of acquisition= cost of cash x % of cash used + cost of debt x % of debt used + cost of equity x % of equity used

0 x .25+3 x .50+10 x .25= 4

Therefore it is Accretive?

 

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