Question: Question 7. Problem Solving III [9 marks] An indexed mutual fund, Fund X, invests in the Australian public stocks which claims to have an objective
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Question 7. Problem Solving III [9 marks] An indexed mutual fund, Fund X, invests in the Australian public stocks which claims to have an objective to track the performance of the ASX200 stock Index. Using monthly returns on the fund and the ASX200 index in the past 12 months, the following regression analysis is performed to evaluate the fund performance in last year. The figure below reports annualised information about fund excess return, alpha, and residual standard deviation. The annualised excess return on the ASX200 index in the same period was 30.37%. Regression model: Ry - Ry = Alpha + Beta X (RM - Rj) +e = Fund Beta R-square (Annual) Alpha (Annual) Fund Excess Return, (Ry Rs) (Annual) Residual Standard Deviation, o(e) Fund X 30.46% 1.69% 0.95 0.9722 0.021 [Instruction: For a through to c, do not round the intermediate answers. Round final answers to two decimal places for your answer, e.g., 0.01; for d, no calculation is required] Required: a. Calculate the fund's annual Treynor ratio. [2 mark] b. Calculate the fund's annual Information ratio. [2 mark] c. Calculate the fund's annual Sharpe ratio. [3 marks] d. Comment on whether the fund has achieved its objective of tracking the performance of ASX200. [2 marks]
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