Webroot, a supplier of computer safeguard systems, uses a cost of capital of $7$ i percent

to evaluate average$-$risk projects, and it adds or subtracts $2\mathrm{.}5$ percentage points to evaluate projects

of more or less risk. Currently, two mutually exclusive projects are under consideration. Both

have a cost of $$450,000$ and will last four years. Project $A,$ a riskier$-$than$-$average project, will

produce annual end of year cash flows of $$198,380.$ Project B$,$ of less than average risk, will

produce cash flows of $$355,779$ at the end of Years $3$ and $4$ only.

Project $C,$ which has average risk, will produce the cash flows provided below.

Which project should Webroot accept? Justify your selection.

Complete the cash flows of both projects:

Calculate the Risk Adjusted Cost of Capital, NPV$,$ IRR, and MIRR for each project and provide your recommendation:

Risk$-$adjusted cost of capital for project $A=$

Risk$-$adjusted cost of capital for project $B=$

Risk$-$adjusted cost of capital for project $C=$

NPV

IRR

MIRR

Which project should Webroot accept? Justify your selection.The polynomial $g(t)=t^4+t^3+t^2+t+1$inQ$[t]$ has a splitting field GsubC.

The polynomial $h(t)=t^3+t+1$inQ$[t]$ has a splitting field HsubC.

$($a$)$ What is $(GR$:$Q)?$

$($b$)$ Decide $GQ$

$($c$)$ What is $(HR$:$Q)?$

$($d$)$ Decide $HQ$