2. [Cross Rates] We trade in three currencies: alpha (a), beta (b) and gamma (c). The three exchange rates are as follows: 1 alpha buys you 1.25 betas; 1 beta buys you 0.5 gammas; 1 gamma buys you 2 alphas. That is. Xb/a = = =1.25, Xc/b= =0.5, Xajc = 2. There are six traders: trader AB lives in alpha land and wants to sell alphas for betas; trader BA lives in beta land and wants to sell betas for alphas; trader BC also lives in beta land and wants to sell betas for gammas; trader CB lives in gamma land and wants to sell gammas for betas; trader CA also lives in gamma land and wants to sell gammas for alphas; and trader AC lives in alpha land and wants to sell alphas for gammas. All of these traders are willing to trade at the current market exchange rates, as quoted above. (a) Inverse Rates Assume there is no bid ask spread, calculate Xa/b, Xb/c and X/a