You are considering to buy stocks of a new firm NNN$.$ The firm just paid dividends $$1$ per share. The dividend payment is expected to increase by $20\%$ in the first year, $10\%$ in the following two years, afterwards $3\%$ forever. Your required return is $10\%.$ What is the maximum price you are willing to pay?

$($Answer format: keep $1$ digit after decimal point. e$.$g$.,1\mathrm{.}46->1\mathrm{.}5)$