Consider two mutually exclusive projects $x$ and $Y$ with identical initial outlays of RM$90,000$ and depreciable lives of $5$ years. Project $x$ is expected to produce free cash

flows of RM$32,787$ each year. Project Y is expected to generate a single after$-$tax net cash flow of RM$223,880$ in year $5.$ The cost of capital is $15$ percent.

Required:

$($a$)$ Calculate the net present value for each project.

$($b$)$ Calculate the internal rate of return for each project.help