Calculate the current price of the option?

I have tried this problem several times, but I'm really stuck. Can someone help me solve it?



For a 1-year European exchange option, you are given:



(i) Stock I has price S(0) = 10



(ii) Stock II has price Q(0) = 20



(iii) The continuously compounded risk-free interest rate is 5%.



(iv) Stock I and II pay no dividends



(v) A one-year European option with payoff max{min[2S(1), Q(1)] − 17, 0} has a current (time-0) price of 1.632.



(vi) Stock I has annual volatility 0.18.



(vii) Stock II has annual volatility 0.25.



(viii) The correlation between the 2 stocks is -0.4.



Consider a European option that gives its holder the right to sell either two shares of Stock 1 or one share of Stock 2 at a price of 17 one year from now.Calculate the current (time-0) price of this option. (Hint: Let S(T) = min[2S(1),$Q(1)])





I started this problem by finding the volatility of both stock 1 and stock 2.



sigma=sqrt{(0.18)^2 + (0.25)^2 -2(0.18)(0.25)(-0.4)}



sigma = 0.36180105$



Now, I don't really know what to do next. Can someone please help me solve the rest of this problem. Thank you!

Calculate the current price of the option?