a) Suppose a firm announces positive earnings growth in the latest quarter and its price does not change. Explain whether this is consistent or not with either the weak or the semi-strong versions of the Efficient Market Hypothesis?

b) Adagio Corporation has return on equity (ROE) of 20% and its plowback ratio is p. The ROE and the plowback ratio are expected to stay the same in all future periods. The company's earnings are expected to be 4 per share next year. The cost of capital is 15%. What is the present value of growth opportunities of this corporation as a function of p? Calculate the present value of its growth opportunities for p = 30%.

c) Consider three portfolios A, B, and C. All three portfolios lie on the efficient frontier which allows for risk-free investments. Portfolios A and B have the following expected returns and standard deviations of returns:

	E(r)	STD
A	6%	10%
B	8%	15%

i. If Portfolio C has an expected return equal to 12%, what are its Sharpe ratio and standard deviation of returns?

ii. What is the risk-free interest rate in the economy?

d) If an investor can construct a portfolio of stocks that has a long-run mean return that is reliably above the mean return on the market, is this evidence that the investor has some skill in picking stocks? Justify your answer.

Answer all parts of this question. a) Suppose a firm announces positive earnings growth in the latest quarter and its price does not change. Explain whether this is consistent or not with either the weak or the semi-strong versions of the Efficient Market Hypothesis? (5 marks) b) Adagio Corporation has return on equity (ROE) of 20% and its plowback ratio is p. The ROE and the plowback ratio are expected to stay the same in all future periods. The company's earnings are expected to be 4 per share next year. The cost of capital is 15%. What is the present value of growth opportunities of this corporation as a function of p? Calculate the present value of its growth opportunities for p = 30%. (5 marks) c) Consider three portfolios A, B, and C. All three portfolios lie on the efficient frontier which allows for risk-free investments. Portfolios A and B have the following expected returns and standard deviations of returns: EOSTD A 6% 10% B 8% 15% i. If Portfolio C has an expected return equal to 12%, what are its Sharpe ratio and standard deviation of returns? ii. What is the risk-free interest rate in the economy? (5 marks) d) If an investor can construct a portfolio of stocks that has a long-run mean return that is reliably above the mean return on the market, is this evidence that the investor has some skill in picking stocks? Justify your