$12.$ You are evaluating a short term transaction, acquiring a public company implementing several business enhancements before attempting to exit five years later. All numbers are in thousands. Initial equity investment would be $$900$ and the remaining required capital would be borrowed. Free cash flows to equity $($after debt service, taxes, capex, etc.$)$ for years $1$ through $5$ from the business would be $$80,$ $$100,$ $$150,$ $$300,$ and $$350,$ respectively. The cash flow from sale after paying off the debt, realized in year $5$ would be $$800.$ Using an equity required rate of return of $14\%,$ calculate the NPV of this investment and the IRR, respectively.

Group of answer choices

a$.(477),4\mathrm{.}1\%$

b$.228,6\mathrm{.}3\%$

c$.(124),-3\mathrm{.}5\%$

d$.550,7\mathrm{.}5\%$