scatter chart of returns vs risk for comparing multiple instruments

A wrapper to create a scatter chart of annualized returns versus annualized risk (standard deviation) for comparing manager performance. Also puts a box plot into the margins to help identify the relative performance quartile.

Usage

chart.RiskReturnScatter(
  R,
  Rf = 0,
  main = "Annualized Return and Risk",
  add.names = TRUE,
  xlab = "Annualized Risk",
  ylab = "Annualized Return",
  method = "calc",
  geometric = TRUE,
  scale = NA,
  add.sharpe = c(1, 2, 3),
  add.boxplots = FALSE,
  colorset = 1,
  symbolset = 1,
  element.color = "darkgray",
  legend.loc = NULL,
  xlim = NULL,
  ylim = NULL,
  cex.legend = 1,
  cex.axis = 0.8,
  cex.main = 1,
  cex.lab = 1,
  na.fill = FALSE,
  ...
)

Arguments

R

an xts, vector, matrix, data frame, timeSeries or zoo object of asset returns

Rf

risk free rate, in same period as your returns

main

set the chart title, same as in plot

add.names

plots the row name with the data point. default TRUE. Can be removed by setting it to NULL

xlab

set the x-axis label, as in plot

ylab

set the y-axis label, as in plot

method

if set as "calc", then the function will calculate values from the set of returns passed in. If method is set to "nocalc" then we assume that R is a column of return and a column of risk (e.g., annualized returns, annualized risk), in that order. Other method cases may be set for different risk/return calculations.

geometric

utilize geometric chaining (TRUE) or simple/arithmetic chaining (FALSE) to aggregate returns, default TRUE

scale

number of periods in a year (daily scale = 252, monthly scale = 12, quarterly scale = 4)

add.sharpe

this draws a Sharpe ratio line that indicates Sharpe ratio levels of c(1,2,3). Lines are drawn with a y-intercept of the risk free rate and the slope of the appropriate Sharpe ratio level. Lines should be removed where not appropriate (e.g., sharpe.ratio = NULL).

add.boxplots

TRUE/FALSE adds a boxplot summary of the data on the axis

colorset

color palette to use, set by default to rational choices

symbolset

from pch in plot, submit a set of symbols to be used in the same order as the data sets submitted

element.color

provides the color for drawing chart elements, such as the box lines, axis lines, etc. Default is "darkgray"

legend.loc

places a legend into one of nine locations on the chart: bottomright, bottom, bottomleft, left, topleft, top, topright, right, or center.

xlim

set the x-axis limit, same as in plot

ylim

set the y-axis limit, same as in plot

cex.legend

The magnification to be used for sizing the legend relative to the current setting of 'cex'.

cex.axis

The magnification to be used for axis annotation relative to the current setting of 'cex', same as in plot.

cex.main

The magnification to be used for sizing the title relative to the current setting of 'cex'.

cex.lab

The magnification to be used for x and y labels relative to the current setting of 'cex'.

na.fill

optional numeric value to replace NAs, e.g. 0.

...

any other passthru parameters to plot

Note

Code inspired by a chart on dead website zoonek2.free.fr /UNIX/48_R/03.html

Author

Peter Carl

Examples

data(edhec)
chart.RiskReturnScatter(edhec, Rf = .04 / 12)

chart.RiskReturnScatter(edhec, Rf = .04 / 12, add.boxplots = TRUE)