You are considering buying a share of preferred stock which you plan to hold for $6$ years, then sell for $$87\mathrm{.}42.$ It has a $$6\mathrm{.}48$ annual dividend and you require $7\mathrm{.}70\%$ 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 $90\mathrm{.}1234$