Required:

You buy a share of stock, write a one$-$year call option with $x=$$$30,$ and buy a one$-$year put option with $x=$$$30.$ Your net outlay to establish the entire portfolio is $$28\mathrm{.}70.$ What is the payoff of your portfolio? What must be the risk$-$free interest rate? The stock pays no dividends. $($Do not round intermediate calculations. Round "risk$-$free rate" to $2$ decimal places.$)$

$\backslash$table$[[$Payoff$,,],[$Risk$-$free rate,,$]$