The Arrow$-$Debreu model has three states and three assets: two are risky and one is risk$-$free. The initial price vector and the payoff matrix are S $=[232]$ and D $=[817191666].$ Consider a payoff vector x $=[3528\mathrm{.}530\mathrm{.}5].($a$)$ Find a portfolio $\backslash$phi replicating the given payoff vector: $\backslash$phi $=[]($b$)$ Find its initial value: $($c$)$ Assuming all states are equilikely, what is the rate of return on this portfolio $($as a percentage$)?\%$