2. Evaluation of Portfolio Performance. [30 Marks] 1) Consider the two (excess return) index-model regression results for portfolios X and Y. The risk-free rate over the period was 5%, the market's average return is 15%, and the standard deviation of market returns is 18%. Performance is measured using an index model regression on excess returns. Portfolio A Portfolio B 2.4% +0.7 1.2% + 1.4 Index model regression estimates (rm-rf) (rm-rf) 15.53% 12.20% Residual standard deviation o(ep) Standard deviation of excess returns 20% 28% a) Calculate the following statistics for each portfolio: i) Sharpe ratio ii) Treynor ratio iii) Information ratio [10 Marks] b) Discuss which portfolio is the best choice under the following circumstances and explain the reasons: i) The portfolio is one of many portfolios that will be mixed to form the overall risky portfolio. ii) The portfolio will be mixed with the benchmark portfolio. iii) The portfolio is the only risky portfolio for an investor. [6 Marks] 2) In a particular year, Hoody Mutual Fund made investments in the following asset classes. Actual weight Actual return Bonds 30% 3% Stocks 60% 10% Cash 10% 1% The benchmark portfolio (i.e. the bogey) has the following characteristics: Benchmark weight Index return Bonds (Baclay Bond Index) 50% 2% Stocks (S&P 500) 40% 6% Cash (money market) 10% 1% a) Calculate the average returns of Hoody Mutual Fund and the benchmark portfolio in the year. [2 Marks] b) Calculate the total excess return of Hoody Mutual Fund over the benchmark portfolio. [2 Marks] c) Calculate the contribution of sector and security selection to relative performance. [5 Marks] d) Calculate the contribution of asset allocation to relative performance. [5 Marks]