$4.$ A nine month call option on Canadian dollars has a strike price of $$\mathrm{.}75.$ The current exchange rate $$\mathrm{.}75,$ the U$.$S$.$ risk free rate is $7\%$ per year, the Canadian risk free rate is $9\%$ and the volatility is $6\%$ per year. a$.$ Suppose the call is European. What is the Black$-$Scholes price of the call? b$.$ Divide the time to expiration into three binomial periods: i$.$ What is the binomial price assuming the call is European? ii What is the price assuming the call is American?