Suppose that during the most recent 10 year period, the average annual total rate of return on the aggregate market portfolio, namely the All Ordinaries Accumulation Index, was 12 per cent, its standard deviation was 10 per cent, and the average annual risk free rate of return was 5 per cent. You are evaluating the following funds: Fund Beta A B C b) c) Average Annual Rate of Return% 12 6 8 0.90 1.05 1.20 Standard Deviation % 5.5 10.0 7.5 a) Calculate the Jensen performance measure for each of the funds. Your method of calculation must be clear. On the basis of the Jensen measure, which fund performed the worst? For Fund A, provide an interpretation of the Jensen performance measure you calculated. Briefly explain.

Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill presented below. What is the Fama diversification measure for the Globex Fund? Assume the T-bill rate as the risk- free rate and the S&P return as the market average return. Use at least four decimal places in your calculations, but report your answer in percentage terms rounded to two decimal places. (Ex..12345 should be entered as "12.35") Investment Vehicle Globex Fund World Fund S&P500 90-day T-bill Answer: Average Rate of Return% 25.2 13.92 15.52 7.10 Standard Deviation 21.33 14 12.8 0.3 Beta 1.05 0.95 R² 0.756 0.741

The average return, standard deviation, and beta for Fund A is given below along with data for the S&P 500 Index. Fund Average Return Standard Deviation Beta A 14.5% 24.6% 1.4 S&P 500 14.5% 21.3% 1 Risk-free 1%       Calculate the Sharpe measure of performance for the S&P 500.

The value in pounds of a fund at time t = 0 is V0 = 50, 000. After one year (at t = 1) it has increased to V1 = 51, 500 and at that time £1, 500 is withdrawn. After two years (at t = 2) the fund is worth V2 = 50, 800. (a) Compute the time-weighted rate of return. (b) If the fund is liquidated after two years what is the yield that has been achieved?