An investor is going to buy stock, collect dividend payments for $5$ years, then sell the stock. The investor wants to earn $7\mathrm{.}5\%$ 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 $0")=$ $$3\mathrm{.}00$Expected growth rate of dividends $=5\mathrm{.}00\%$ until end of year $5$Expected growth rate of dividends $=2\mathrm{.}00\%$ after year $5$ in perpetuity