An investor just purchased electric utility operator Exelon $($EXC$)$ stock and expects the company to generate the following earnings per share:

Year $1$: $$2\mathrm{.}41$

Year $2$: $$2\mathrm{.}50$

Year $3$: $$2\mathrm{.}60$

Year $4$: $$2\mathrm{.}75$

The investor anticipates receiving dividends in each year based on a $60\%$ payout ratio and then selling the shares for $$48$ at the end of Year $4($after receiving the dividend$).$ If the projected cash flow is correct and the investor receives a compound annual return of $10\%,$ how much did he or she pay for the shares? Please round your dividends and present values to the nearest penny.