g$)$ Formulate conditions on ROE and payout under which growth rate of EPS in year $t$ will be

equal to plowback in year t multiplied by ROE in year $t.$ Derive the general formula for

growth rate of Dividends per share.

Hint: start from the definition of $g(DPS)=\frac{DP{S}^{1-}DP{S}^0}{DP{S}^0}$