Question $3$ Consider a one$-$year PUT option that gives the holder the right but not the obligation to SELL $100$ shares of a stock currently trading at $$50$ per share for $$50$ per share. By year$-$end the stock can increase to $$55/$share or decrease to $$45$ per share The risk free rate is $5\mathrm{.}00\%.$ Calculate the risk$-$neutral probability of an $"$up$"$ move in the stock price. Report your answer as a decimal: e$.$g$.$ if your answer is $1/2$ enter $"0\mathrm{.}50"$