$($e$)$ Determine the present value of a perpetuity that pays $7,200$ per year with $15\%$ interest rate. $2$

$($f$)$ How could a risk$-$averse individual minimize risk of portfolio return when there are $n$ mutual funds that are $($i$)$ uncorrelated, $($ii$)$ positively correlated?

$($g$)$ If the spot rates for $1$ and $2$ years are $S_1=6\mathrm{.}3\%$ and $S_2=6\mathrm{.}9\%,$ what is the forward rate $f_{12}?7\mathrm{.}5\frac{.}{2}$

$($hi$)$ If the premium on a call option has declined recently, does this decline indicate that the option is a better buy than it was previously?