Traditional NPV& WACC Modigliani and Miller meet CAPM PWC Course Notes P62 ACCA Paper P4 Also suitable for ICAEW, ICAS, CFA etc mefielding.com1.

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Traditional NPV& WACC Modigliani and Miller meet CAPM PWC Course Notes P62 ACCA Paper P4 Also suitable for ICAEW, ICAS, CFA etc mefielding.com1

Traditional NPV  We are going to calculate the discount factor to be used in an NPV calculation  Before you listen to this please make sure you are comfortable with CAPM and M&M  Wyke plc is a company that makes ice cream in Scotland  Wyke wants to expand into Europe. Europe has no surplus demand for ice cream but their market research shows that South Europe needs freezers. Wyke decides to investigate freezer distribution in S Europe.  Aranalde is a Spanish firm that distributes freezers throughout South Europe  Wyke has prepared a cashflow for the proposed freezer distribution business but does not know at what rate to discount it mefielding.com2

Traditional NPV WykeAranalde Equity Beta Geared Gearing Ratio (Book Value, D:E) 1:13:7 Gearing Ratio (Market Value,D:E) 1:41:1 Cost of Debt %66 mefielding.com3 Assumptions Corporate debt is risk free, corporate tax is charged at 30% The project will be financed in the same ratio as existing capital in Wyke Return on treasury bills is 6%, return on the market portfolio 9%

Traditional NPV mefielding.com4

Traditional NPV mefielding.com5

Traditional NPV mefielding.com6 We use the formula + So we need an asset beta which reflects the business risk of freezer distribution in Europe. If we take Aranalde’s beta it will reflect the business risk but also Aranalde’s gearing, so we degear Aranalde’s equity beta We must always use market values, the value of the equity to debt is 1:1. Aranalde’s beta reflects the business risk, the tax rate is 30%. The asset beta tells us the ungeared beta of the Freezer distribution industry. Debt is risk free so debt beta is zero

Asset Beta mefielding.com7

Traditional NPV mefielding.com8 So the asset beta reflects the business risk but Wyke will use debt finance in part to fund the project we need therefore to factor that it Debt is risk free so 2 nd half of the equation is omitted The asset beta therefore, as said, gives us the risk for an ungeared business distributing freezers in S Europe. But our business will not be ungeared, therefore we have to put in our project gearing

Re-gearing the Asset Beta mefielding.com9 Putting into the equation Wyke’s own gearing we get Debt is risk free so 2 nd half of the equation is omitted