A method and a system for evaluating at least one of a risk, safety and efficiency property of a portfolio belonging to a class of one of a probability density and a probability distribution, for a given time frame are provided. The method comprises: obtaining portfolio pricing data over said given time frame; obtaining at least one benchmark X.sub.b; with respect to investment returns, fitting one of a stochastic investment class over said given time frame in relation to said benchmark X.sub.b by obtaining a location parameter a, a scale parameter b and other corresponding shape parameters; and an empirical investment class over said given time frame in relation to said benchmark X.sub.b; determining a mean return value X.sub.m and a standard deviation .sigma..sub.x using said class; graphically illustrating said portfolio in relation to said benchmark X.sub.b using said return value X.sub.m and said standard deviation .sigma..sub.x on an investment chart; determining for said portfolio by using properties of said class a solution to (X.sub.m-X.sub.b)=[(E.sub.S-X.sub.b).alpha.]+[(E.sub.P-X.sub.b).gamma.]=I- '.sub.S+I'.sub.P; graphically illustrating at least one said component of said expression (X.sub.m-X.sub.b), in the form of a topographical map on said investment chart using said benchmark X.sub.b.

 
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