Abstract: A system and method for the optimal allocation of investment funds among a portfolio of investments, and the optimal selection of candidate investments for the portfolio to optimize the financial risk of the investor relative to the financial returns. The system and method create risk tolerance functions for the investor which describe the investor's monetary utility through probability preferences with respect to specific currency amounts relative to the investor's overall assets restricted to the investors monetary range of interest. The risk tolerance function is then used in conjunction with a computed probability density function of the investment portfolio to create a probability density function of the investor's probability preferences with respect to the investor's risk tolerance function. The probability density function expresses the dispersion of risk preferences that the investor would experience as a result of the investment allocation.

Abstract: A computer system and method for optimally allocating investment funds of an investor in a portfolio having a plurality of investments, comprising: determining a risk tolerance function for the investor specifying the investor's probability preference at each of a plurality of monetary amounts relative to a monetary range relevant to the investor, and allocating the investment funds among the investments to create an investment allocation by maximizing an expected value of a first probability density function of the investor's probability preferences determined as a function of a second probability density function of the portfolio's predicted market performance with respect to the investment funds and the investor's risk tolerance function.