The euro interest rate is $8\%,$ the dollar rate is $12\%,$ the spot rate S$=$eur$1\mathrm{.}60/$doll and the forward rate F$=$eur$1\mathrm{.}53/$doll which are observed in the market. If there is an arbitrage opportunity provide evidence, show which money market strategy makes a profit. What is the profit on $1$ million doll, if any?