The information below relates to an investment project that a company is about to make:

$1.$ Initial capital outlay is $$580,000.$

$2.$ Project life is $5$ years

$3.$ Capital can be raised on the market at $9\%$ compounded$/$discounted bi$-$annually

$4.$ Annual profits for the $5$ years are: $$55,000,$$$60,000,$$$65,000,$

$$55,000$ and $$30,000$ in years $1,2,3,4$ and $5$ respectively.

$5.$ Residual value is $N$$$80,000$

$6.$Depreciation is on straight$-$line basis

Question $1$

Based on the information provided above:

Calculate $($a$).$ ARR $($b$).$ AARR $($c$).$ NPV$.$