Question $3$ Suppose that two securities $\backslash ($ s$\_\{1\}\backslash )$ and $\backslash ($ s$\_\{2\}\backslash )$ can be purchased today at price shown in the table below, and can each produce only one of the two payoffs $($referred to as state $1$ and state $2)$ a year from now: $3\mathrm{.}1$ Determine the state prices. $3\mathrm{.}2$ Is arbitrage opportunity possible? Justify your answer. $3\mathrm{.}3$ Suppose that the risk$-$free rate is $\backslash (6\mathrm{.}5\backslash \%\backslash ).$ Find the risk$-$neutral probabilities and the pricing formula.