$2.$ A company's $12-$month trailing earnings per share $[$EPS$]$ are $$4\mathrm{.}50,$ and the EPS are expected to grow $10\%$ annually. If an investor is willing to pay a P$/$E multiple that is no higher than $2\mathrm{.}5$ times its growth rate, and the stock is currently selling at $$100$ per share, would this be an acceptable purchase price? Explain and support your answer with numbers