Suppose the terminal payoff of an exchange rate option is F_T¹{F_T >X}. Let V_d (F, t) denote the value of the option in domestic currency, show that

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V₁(F, t) = e¯¹ƒ(T−¹) FEQƒ [1{F7>X}\Ft = F] = e¯¹ƒ¹ FN (d) = erat et FN(d), е where 8=ra -rf and d In / + (ra-rf OF √T + // ) t T T = T-t.