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The statistics covered on this
page are found on the "Analysis" page (file tab) of the RINA Systems,
Inc. Portfolio Evaluator Version 2000 report.
Shape Ratio The statistics covered on
this page are found on the "Analysis" page (file tab) of the RINA Systems,
Inc. Portfolio Evaluator Version 2000 report.
Average annualized
monthly returns (in %) minus the risk-free rate (interest rate setting)
divided by the standard deviation of monthly returns. The higher the
number, the greater the return in relation to variability of returns.
Typically, Sharpe Ratios above one are considered to be indicative of
good performance.
K-Ratio Lars Kestner created
a ratio that gauges performance by examining the consistency of returns
with respect to time. Calculations for return and risk are derived from
VAMI (value added monthly index). VAMI is a monthly plot of the progress
of a hypothetical $1000 initial investment. Because the consistency
of returns is examined with respect to time, the K–Ratio provides
a good evaluation of equity performance.
Calculations for return and
risk are derived from VAMI (value added monthly index). VAMI is a monthly
plot of the progress of a hypothetical $1000 initial investment. Although
the example below employs a base 10 log, using another log base will
result in the same final value.
Running a linear
regression on the log-VAMI curve reveals several details about performance.
The slope of the regression line (the numerator of the K-Ratio) characterizes
the return. The steeper the slope, the faster the money has been made.
Risk in the K-ratio is measured by the standard error of the slope,
a value calculated from the regression. The standard error measures
the smoothness of the regression line of the log-VAMI. The higher the
standard error the higher volatility of returns which is usually viewed
as an equivalent of risk. The denominator of the K– Ratio is multiplied
by the square root of observations to normalize the measure across different
time frames.
K–Ratio = (Slope of Log VAMI Regression line) / ((Standard error of the slope )*(Number of period in the Log VAMI)) For more information please see Futures Magazine, January, 1996 RINA Index The RINA Index
combines select net profit, time in the market and drawdown calculations
into a single reward risk ratio. The larger the number, the more efficient
the system. This performance measure is a trade-based statistic as opposed
to equity based measures of performance such as the Sharpe Ratio.
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