The following data is reported for a fund and an appropriate benchmark as well as the risk$-$free rate each year:

Fund Return Benchmark Return Risk$-$free rate

Year $117\%14\%2\%$

Year $218\%15\%2\%$

Year $320\%17\%2\%$

Year $423\%18\%2\%$

Year $523\%17\%2\%$

Year $624\%17\%2\%$

Year $715\%13\%2\%$

Year $813\%11\%2\%$

Year $911\%9\%2\%$

Year $1010\%9\%2\%$

Required:

a$.$ What is the Sharpe ratio for the fund and the benchmark?

b$.$ What is the Treynor ratio for the fund and the benchmark?

c$.$ What is the fund tracking error?

d$.$ What is the beta for the fund?

e$.$ What is Jensen$$s alpha for the fund?