Date Added: Apr 2011
Using various techniques, authors have shown that in one-dimensional markets, complex (path-dependent) contracts are generally not optimal for rational consumers. In this paper the authors generalize these results to a multidimensional Black-Scholes market. In such a market, they discuss optimal contracts for investors who prefer more to less and have a fixed investment horizon T>0. First, given a desired probability distribution, they give an explicit form of the optimal contract that provides this distribution to the consumer. Second, in the case of risk-averse investors, they are able to propose two ways of improving the design of financial products.