9.3. Suppose that the Black-Scholes framework governs a currency exchange between the US and Martians (Martians only have one currency). Let X(t) denote the time t US dollar price of one Martian Dollar ($M), x(0)-$100. The risk free rate of the US dollar is ri-0.09, and the Martian risk free rate is rM = 0.03. The volatility of the exchange is = 0.3. Determine the US dollar price of a one year European call with strike 103 on one Martian dollar (a) hat pays max(X(1)2 year 9.3. Suppose that the Black-Scholes framework governs a currency exchange between the US and Martians (Martians only have one currency). Let X(t) denote the time t US dollar price of one Martian Dollar ($M), x(0)-$100. The risk free rate of the US dollar is ri-0.09, and the Martian risk free rate is rM = 0.03. The volatility of the exchange is = 0.3. Determine the US dollar price of a one year European call with strike 103 on one Martian dollar (a) hat pays max(X(1)2 year