You are considering buying a share of preferred stock which you plan to hold for $8$ years, then sell for $$80\mathrm{.}00.$ It has a $19\mathrm{.}2\%$ annual dividend, $$37\mathrm{.}72$ par value and you require $8\mathrm{.}64\%$ return. What is the maximum price you should pay for a share of this preferred stock?

Enter your answer as a number with four decimal places and without the currency symbol. For example, if your answer is $$90\mathrm{.}1234,$ enter $90\mathrm{.}1234$