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APMWACC CAlculation

Mmichaelf10y ago
I am having a little trouble calculating WACC. I am using the formula (%e x Ke) +(% d x Ke x (1- tax rate) However i a working out June 2014 past papers, Question 1: Debt/Equity 30% Cost of equity 15.7% Tax rate 25% Pre- tax cost of debt 6.5% I don't understand why the examiner sets out the working as (1/1/3 x 15.7%) + ( 0.3/ 1.3 x 6.5% x (1-25%) help me clarify please. I understand every thing else, except for 1/ 1/3 & 0.3 x 1.3). Please reply quickly. Best Regards,
AMAhmed Mirza10y ago#1
Hello there Firstly there seems to be a typo in the expression (1/1/3), which I believe should be (1/1.3) Moving on... In WACC calculation, the cost of equity or Ke has to be weighted based on the ratio of equity to (equity + debt) and cost of debt or Kd (post tax) based on the ratio of debt to (equity + debt) before adding both %s together. This will look like as follows: WACC = [ (Ve/(Ve+Vd) X Ke ] + [ (Vd/(Ve+Vd) X Kd (1-T) ] In your question, Debt to Equity, given is 30% or 30/100 based on which: Ve = 100 or 1 Vd = 30 or 0.3 Ve+Vd = 130 or 1.3 Post tax Kd = 6.5% X (1-0.25) Ke = 15.7% Applying the above formula, WACC = [ (1 / 1.3 X 15.7% ) + (0.3 / 1.3 x (6.5% x 0.75) ] WACC = 13.2% Answering your question.. As you may notice in the above formula and the application, [1 / 1.3] is actually the ratio of Equity (100% or 1) to Equity + Debt (100% + 30% or 1.3). Where as [0.3 / 1.3] is actually the ratio of debt (30% or 0.3) to Equity + Debt (100% + 30% or 1.3). HTH
Mmichaelf10y ago#2
Thanks a million for the clarification. I really appreciate your response.
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