An investor is going to buy stock, collect dividend payments for $6$ years, then sell the stock. The investor wants to earn $13\%$ return on investment. Based on the following details, what is the maximum price the investor should be willing to pay for this stock? Most recent historical dividend $($at "year $0")=$ $$6\mathrm{.}00$ Expected growth rate of dividends $=10\mathrm{.}00\%$ Selling price at end of year $6=$ $$20\mathrm{.}22$