December 7th, 2012, 8:05 pm
Hi, I've got a question regarding the impact of correlation on the price of a basket option.Assume we have a basket option whose payoff is min(S_1+S_2, K), when the correlation between S1 and S2 increases should the price go up or down? The way I do it is to transform the payoff function to -max(-(S1+S2)+K, 0)+K, if correlation increases, assume that the only impact of correlation is on the basket volatility, then basket vol increases which makes max(-(S1+S2)+K, 0), a put option on S1+S2 more valuable, since we are short this put, then the overall payoff decreases. Therefore, the price of this basket option decreases when correlation goes up. Is this correct?Thx