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) $100. The risk free rate of the US dollar is r = 0.09, and the Martian risk free rate is rm = 0.03. The volatility of the exchange is o = 0.3. (a) Determine the US dollar price of a one year European call with strike 103 on one Martian dollar. (b) Determine the US dollar price of a derivative that pays max(X(1)2 10,000,0) in one year. 9.3. Suppose that the Black-Scholes framework governs a currency exchange between the US and Martians (Martians only have one currency). Let X(t) denote the time t US dollar price of one Martian Dollar ($M). X(0) $100. The risk free rate of the US dollar is r = 0.09, and the Martian risk free rate is rm = 0.03. The volatility of the exchange is o = 0.3. (a) Determine the US dollar price of a one year European call with strike 103 on one Martian dollar. (b) Determine the US dollar price of a derivative that pays max(X(1)2 10,000,0) in one year