Assume that the dividends to be paid on a stock next period are expected to be $$2.$ Investors require $15$ percent to invest in the stock and dividends are expected to grow at $10$ percent per year. What is the value of this index?

$$13\mathrm{.}33$

$$20\mathrm{.}00$

$$40\mathrm{.}00$

$$45\mathrm{.}00$