River Enterprises has $$494$ million in debt and $23$ million shares of equity outstanding. Its excess cash reserves are $$16$ million.

They are expected to generate $$210$ million in free cash flows next year with a growth rate of $2\%$ per year in perpetuity.

River Enterprises' weighted average cost of capital is $12\%.$ After analyzing the company, you believe that the growth rate should

be $3\%$ instead of $2\%.$ How much higher $($in dollars$)$ would the price per share be if you are right?

If the growth rate is $2\%,$ the price per share is $$.($Round to the nearest cent.$)$