$2023-$ Dec $[5]($a$)$ MS$.$ AHONA, an investor, has made investments in two mutual funds. The following information is available: $2023-$ June $[5]($b$)$ Following is the information related to three mutual funds

of BP company:

Correlation between market and mutual fund:

Variance of the market is $9\%$ and rate of return of government bond is $7\%.$

You are required to:

$($i$)$ Rank the Mutual Funds as per Sharpe's measure.

$($ii$)$ Rank the Mutual Funds as per Treynor's measure.

$\backslash$table$[[$Mutual Fund,Smart,Growth$],[$Jensen Alpha,$1\mathrm{.}32\%,1\mathrm{.}80\%],[$Treynor$\text{'}$s Ratio,$0\mathrm{.}086,0\mathrm{.}093],[$Actual Return,$10\mathrm{.}20\%,10\mathrm{.}92\%],[$Risk Premium,$5\%,5\%]]$

Required:

$($i$)$ Assess the Beta $()$ for both the funds

$($ii$)$ Determine the Risk Free Rate

$($iii$)$ Identify the Security Market Line

$(7$ marks$)$