$($a$)$The following quotes for the UK pound, the US dollars, and the Japanese yen are observed on the international currency market. Assess if there is a triangular arbitrage opportunity. show how you will exploit this opportunity with an amount of GBP$1,000,000$ if indeed such an opportunity exists. JY$135\mathrm{.}45/$GBP$,$ $$1\mathrm{.}3252/$GBP$,$ JY$110\mathrm{.}55/$$$.($b$)$ Assume the following quotes between the dollar and the euro in Los Ageles and Paris. Los Angeles $$1\mathrm{.}1100/$euro$,$ Paris euro$0\mathrm{.}8855/$$$.$