Happyville is considering the purchase of new equipment that will cost $$\mathrm{.}525$ million if purchased today

and will generate the following cash inflows and outflows:

Year Receipts Cash Expenditures

$1$ $$750,000\mathrm{.}00$ $$500,000\mathrm{.}00$

$2$ $$775,000\mathrm{.}00$ $$525,000\mathrm{.}00$

$3$ $$775,000\mathrm{.}00$ $$525,000\mathrm{.}00$

$4$ $$800,000\mathrm{.}00$ $$550,000\mathrm{.}00$

$5$ $$875,000\mathrm{.}00$ $$625,000\mathrm{.}00$

The cost of capital is $6\mathrm{.}00\%$ annually. Reinvestment rate is $2\%.$

Questions: Calculate NPV$,$ IRR, MIRR, BCR$,$ and Payback of the project. Should Happyville pursue this

investment?