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Consider a simple balance sheet: TA=total assets (all operating); TD=total debt; TE=total equity; TA=TD + TE. Let ROE=NI/TE; ROA=NOI/TA;EBIT(1-Tc)=NOI ; r(1-Tc)is the after-ax cost of

Consider a simple balance sheet: TA=total assets (all operating); TD=total debt; TE=total equity; TA=TD + TE. Let ROE=NI/TE; ROA=NOI/TA;EBIT(1-Tc)=NOI ; r(1-Tc)is the after-ax cost of borrowing. Show (mathematically) that ROE=ROA+[ROA-r(1-Tc)]TD/TE. (4 marks)

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