I've read all the available information on WTP (forum and white paper) and do not really see a solution with regards to my data. A sensitivity analysis does not work, as I cannot replicate the whole market with data, i.e. the shares of preferences are unrealistic and fall short of a lot of alternatives. Even if I tried to replicate the market, the theoretical combinations of attributes (8) and levels (24) would create a matrix way too big. My idea now is, to compare purchase-likelihood of two sample products that differ in one level only and vary the price of the "better" product until purchase likelihood is equal. Wouldnt that represent a WTP for a particular level given all others are equal? It is not under your recommended solutions, so I was wondering if its a realistic approach.

The only problem I encountered with this approach but also with a share of preference approach is that price changes have minor impacts on either of the two approaches, i.e. is completely unrealistic. E.g. a change of a level to a more preferred level of minor impact (partworth +5, while none alternative 200), gives a 10 dollar WTP at a particular point (bases on share of preferene or purchase likelihood as discussed before). This is for a product that ranges between 5 and 70 euros in my conjoint highly unrealistic. Any ideas?

many thanks for your answer! Two comments on this:

a) is the approach of purchase-likelihood equalizing price also a valid approach? As I said, the share-preference appraoch looks a bit flawed in my case as I would rather compare two versions of a product and not replicate the whole market. I therefore thought purchase likelihood - not taking other products into account - would therefore be the better approach

b) if we are talking about maximum WTP, as you descibe, then this approach (as well as share of preference approach) are equally flawed I guess. an Interpretation is therefore rather, that there is an additional WTP, if purchase likelihood and share of preference are higher for the more expensive product, yet questionnable whether in the actual magnitude (e.g. price diff of 10 euros, still preferred)