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.