$1.$ You collect data from your broker$-$dealer regarding the bid and ask prices of a stock and a one$-$year zero$-$coupon bond. The bond has a face value of $\backslash (\backslash$$ $100\backslash ),$ and the stock is assumed to pay no dividends over the coming year. This information is summarized in Table $1$ below.

Table $1$: Bond and Stock Price

You can also enter into a forward contract on the stock with a one$-$year maturity. The forward price, i$.$e$.,\backslash ($ F $\backslash ),$ for this contract is $\backslash (\backslash$$ $106\backslash ).$ Assuming that entering into the forward contract incurs no cost what conditions must $\backslash ($ x $\backslash )$ and $\backslash ($ y $\backslash )$ satisfy to ensure the absence of arbitrage?