The Metallica Heavy Metal Mining $($MHMM$)$ Corporation wants to diversify its operations. Some recent financial information for the company is shown here:

Stock price $ $50$

Number of shares $25,000$

Total assets $ $7,700,000$

Total liabilities $ $3,700,000$

Net income $ $640,000$

MHMM is considering an investment that has the same PE ratio as the firm. The cost of the investment is $$700,000,$ and it will be financed with a new equity issue.

The ROE on the investment would have to be $???$percent

$($Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

if we wanted the price after the offering to be $$50$ per share $($assume the PE ratio remains constant$),$ and the NPV of the investment would be $????$