year3 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 The following table gives data of Aditya Birla Equity Mutual Fund. Mutual Fund beta Return of Mutual Fund 0.96 0.92 0.9 0.95 0.95 1 1 0.9 0.8 0.75 0.75 0.7 -0.038 -0.008 0.03 0.02 0.18 0.22 0.10 0.07 0.18 0.24 0.11 -0.02 Return on market SP500 -0.08 -0.07 -0.09 0.04 0.14 0.19 0.06 0.01 0.16 0.18 0.10 0.08 Return on Govt Security 0.075 0.074 0.07 0.07 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 a. Calculate the following performance measures for Mutual Fund (P) and the SP500 (M) Sharp. Jensen (alpha), Ireynor, Information ratio, M square and Famma's Net selectivity By which measures did portfolio Poutperform the market? b. How do you account for market timing that involves shifting funds between active and passive portfolios? Give details of various econometric models used to analyze the timing effect. (Show calculations)