Liberty Inc has just paid a per$-$share dividend of $$4\mathrm{.}00$ on its common stock. Analysts expect these dividends to increase at a rate of $12\%$ over the coming $4$ years. After that, it is expected that per$-$share dividends will increase at a constant rate of $3\mathrm{.}5\%$ for the foreseeable future. Investors require a return of $10\%$ on Liberty Inc. common stock. Based on this information, what should we expect Liberty stock to trade for today?