You are financial manager with $$1$M USD to invest. The dollar$-$euro exchange rate is quoted as

$$1\mathrm{.}20=1\mathrm{.}00$ and the dollar$-$pound exchange rate is quoted at $$1\mathrm{.}80=1\mathrm{.}00.$ If a bank quotes

you a cross rate of $1\mathrm{.}00=1\mathrm{.}50,$ is there an opportunity for you to earn a risk$-$free profit with

these quotes? If so$,$ what is your profit and return?$($not in excel$)$