June 3rd, 2003, 3:20 pm
Window Barrier with alternating Low, High barriersThey are correct in saying that there is no closed form solution. usually you do this with numerical integration type models i.e.1. At maturity you generate an up down payoff vector (how far up down depends on the presence of barrier at this point.2. For each event point going backwards, you assume that there are double barriers, if there is only one 'real' barrier, you set the other to 6+ standard deviations from the drift adjusted spot price at that point.3. At that event point the up/down vector of values is from barrier to barrier, but one barrier is not real.4. You calculate the intermediate value for each spot point at that event point5. You step back through each event point until you get to the start date, at which point the price is the integral of all the valuesat the previous event point ( start or end of first barrier).it s complicated , but then it's a complicated model