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ACCA Strategic Professional · Advanced Financial Management · Impact of financing on investment decisions and adjusted present values

A proxy company in the same business as a proposed project has an equity beta of 1.2 and a debt-to-equity market value ratio of 1:3. The tax rate is 25%, and debt is assumed to be risk-free (debt beta of zero). The risk-free rate is 4% and the market risk premium is 5%. What ungeared cost of equity should be used to discount the project's base-case cash flows?

The ungeared cost of equity is 8.8%. The asset beta is 1.2 × 3 / (3 + 0.75) = 0.96, which allows for the tax relief on debt. Applying CAPM gives 4% + 0.96 × 5% = 8.8%.

  1. A8.8%Correct
  2. B8.5%
  3. C10.0%
  4. D11.5%

Explanation

Asset beta = βe × E / (E + D(1−T)) = 1.2 × 3 / (3 + 0.75) = 0.96. Ungeared cost of equity = 4% + 0.96 × 5% = 8.8%. Ignoring tax in the gearing adjustment gives 0.9 and 8.5%. Using the geared equity beta gives 10%.

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