26 Jun Suppose the portfolio of a large institutional investor ‘Animal’ has a beta
Suppose the portfolio of a large institutional investor ‘Animal’ has a beta of 1.25, and the standard deviation of the rate of return on its portfolio is 15 percent and its expected rate of return is 15 percent. The portfolio of another institutional investor ‘Beast’ has a beta of 0.75. The market portfolio may be expressed as a portfolio comprising the portfolios of Animal and Beast. Suppose there is a firm called ‘Cunning corporation’, whose stock’s beta is 2 and it can borrow at the risk free rate, which is 2.5 percent. Cunning’s equity value is £1.5 million and its debt is £1 million. The present value of Cunning’s tax shield is £0.3 million. Assuming that both CAPM and the Modigliani-Miller theorem with corporate taxes hold, answer the following questions. a) What is the expected return on the market portfolio? b) What is the standard deviation of the rate of return on Beast’s portfolio? c) What is the weight attached to Beast if we express the market portfolio as a portfolio comprising the portfolios of Animal and Beast? d) What is the after-tax WACC of Cunning?
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