A stock expects to pay dividends at the end of each of the next four years of $$3\mathrm{.}00,$ $$4\mathrm{.}50,$ $$3\mathrm{.}50,$ and $$1\mathrm{.}50.$ After the fourth year, the dividends are expected to be $$5\mathrm{.}00$ each year forever. James plans to buy the stock today and sell it at the end of year $22.$ Henry plans to buy the stock today and sell it at the end of year $39.$ If James and Henry both demand $14\%$ required rate of returns, the price James is willing to pay for the stock today is $\_\_\_\_\_$ the price Henry is willing to pay for the stock today.

higher, lower or same