The following performance data about the Big Gain Fund & the S&P $500$ appears below

Big gain

S& P $500$

Return

$40\%$

$22\%$

Standard deviation

$32\%$

$20\%$

Beta Value

$1\mathrm{.}26$

$1\mathrm{.}00$

The risk$-$free rate is $5\%.$

Required:

i$.$ Calculate the Sharpe Ratio $(3$ Marks$)$

ii$.$ the Treynor measure $(3$ Marks$)$

iii. and Jensen$$s $(3$ Marks$)$

iv$.$ Comment on the results obtained $(6$ Marks$)$