Where, is return on market.
Return Relative:
The concept of return relative is used in cumulative wealth index or geometric mean as in such
calculations negative returns cannot be used. It is defined as, Relative return = 1+Total return in
decimals.
The geometric mean Rj is the total return for period and n is the number of time periods. It is
computed to obtain mean monthly market return. The returns thus obtained are absolute returns
and are retained throughout the study. The expression shown below has been used to compute
monthly compounded rate of return, R, for fund `j'.
Where,
r = Compounded monthly rate of return on fund `j'
R1 = Monthly rate of return on fund `j' for month
n = Number of months
Risk
Standard deviation is measure of total risk. The square root of the variance is called the standard
deviation σ = Var (r). The standard deviation and the variance are equally acceptable and
equivalent quantitative measures of an asset's total risk. The variance and standard deviation are
computed from average monthly returns.
Beta is measure of Systematic Risk or non-diversifiable risk. It measures the sensitivity of the
stock with reference to a broad based market index.
Coefficient of Variation (CV): It means risk per unit of return i.e. standard deviation/mean. It
measured the degree of variation relative to mean as a percentage.
Co-efficient of Determination (R2): i.e., the extent to which the movement in the fund can be
explained by corresponding benchmark index (