attributionsChart
Syntax
Description
attributionsChart(
creates a
horizontal bar chart of portfolio performance attributions by category, aggregated over all
time periods using a BrinsonPAObj
)brinsonAttribution
object. This
function decomposes active returns into category allocation, within-category selection, and
allocation-selection interaction effects.
additionally returns the figure handle h
= attributionsChart(ax
,BrinsonPAObj
)h
.
adds optional name-value arguments. h
= attributionsChart(___,Name=Value
)
Examples
Create Horizontal Bar Chart of Performance Attribution
This example shows how to create a brinsonAttribution
object that you can then use with the attributionsChart
function to generate a bar chart of performance attribution.
Prepare Data
Create a table for the monthly prices for four assets.
GM =[17.82;22.68;19.37;20.28]; HD = [39.79;39.12;40.67;40.96]; KO = [38.98;39.44;40.00;40.20]; PG = [56.38;57.08;57.76;55.54]; MonthlyPrices = table(GM,HD,KO,PG);
Use tick2ret
to define the monthly returns.
MonthlyReturns = tick2ret(MonthlyPrices.Variables)'; [NumAssets,NumPeriods] = size(MonthlyReturns);
Define the periods.
Period = ones(NumAssets*NumPeriods,1); for k = 1:NumPeriods Period(k*NumAssets+1:end,1) = Period(k*NumAssets,1) + 1; end
Define the categories (sectors) for the four assets.
Name = repmat(string(MonthlyPrices.Properties.VariableNames(:)),NumPeriods,1); Categories = repmat(categorical([ ... "Consumer Discretionary"; ... "Consumer Discretionary"; ... "Consumer Staples"; ... "Consumer Staples"]),NumPeriods,1);
Define benchmark and portfolio weights.
BenchmarkWeight = repmat(1./NumAssets.*ones(NumAssets,1),NumPeriods,1); PortfolioWeight = repmat([1;0;1;1]./3,NumPeriods,1);
Create AssetTable
Input
Create AssetTable
as the input for the brinsonAttribution
object.
AssetTable = table(Period, Name, ... MonthlyReturns(:), Categories, PortfolioWeight, BenchmarkWeight, ... VariableNames=["Period","Name","Return","Category","PortfolioWeight","BenchmarkWeight"])
AssetTable=12×6 table
Period Name Return Category PortfolioWeight BenchmarkWeight
______ ____ _________ ______________________ _______________ _______________
1 "GM" 0.27273 Consumer Discretionary 0.33333 0.25
1 "HD" -0.016838 Consumer Discretionary 0 0.25
1 "KO" 0.011801 Consumer Staples 0.33333 0.25
1 "PG" 0.012416 Consumer Staples 0.33333 0.25
2 "GM" -0.14594 Consumer Discretionary 0.33333 0.25
2 "HD" 0.039622 Consumer Discretionary 0 0.25
2 "KO" 0.014199 Consumer Staples 0.33333 0.25
2 "PG" 0.011913 Consumer Staples 0.33333 0.25
3 "GM" 0.04698 Consumer Discretionary 0.33333 0.25
3 "HD" 0.0071306 Consumer Discretionary 0 0.25
3 "KO" 0.005 Consumer Staples 0.33333 0.25
3 "PG" -0.038435 Consumer Staples 0.33333 0.25
Create brinsonAttribution
Object
Use brinsonAttribution
to create the brinsonAttribution
object.
BrinsonPAobj = brinsonAttribution(AssetTable)
BrinsonPAobj = brinsonAttribution with properties: NumAssets: 4 NumPortfolioAssets: 3 NumBenchmarkAssets: 4 NumPeriods: 3 NumCategories: 2 AssetName: [4x1 string] AssetReturn: [4x3 double] AssetCategory: [4x3 categorical] PortfolioAssetWeight: [4x3 double] BenchmarkAssetWeight: [4x3 double] PortfolioCategoryReturn: [2x3 double] BenchmarkCategoryReturn: [2x3 double] PortfolioCategoryWeight: [2x3 double] BenchmarkCategoryWeight: [2x3 double] PortfolioReturn: 0.0598 BenchmarkReturn: 0.0540 ActiveReturn: 0.0059
Generate Horizontal Bar Chart for Performance Attribution
Use the brinsonAttribution
object with attributionsChart
to generate a horizontal bar chart of portfolio performance attributions by category, aggregated over all time periods.
attributionsChart(BrinsonPAobj)
Alternatively, you can use the name-value argument for Style
to generate a stacked horizontal bar chart of return attributions by category.
attributionsChart(BrinsonPAobj,Style="stacked")
Also, you can use the name-value argument for Style
to generate a horizontal bar chart of active returns by category.
attributionsChart(BrinsonPAobj,Style="active")
Input Arguments
BrinsonPAObj
— brinsonAttribution
object to analyze performance attribution
brinsonAttribution
object
brinsonAttribution
object to analyze performance attribution. Use
brinsonAttribution
to
create the brinsonAttribution
object.
Data Types: object
ax
— Valid axis object
ax
object
(Optional) Valid axis object, specified as an ax
object that you
create using axes
. attributesChart
creates the plot on the axes specified by the optional ax
argument
instead of on the current axes (gca). The optional argument ax
can
precede any of the input argument combinations. If you do not specify an
axes
object, attributesChart
plots into the
current axes.
Data Types: object
Name-Value Arguments
Specify optional pairs of arguments as
Name1=Value1,...,NameN=ValueN
, where Name
is
the argument name and Value
is the corresponding value.
Name-value arguments must appear after other arguments, but the order of the
pairs does not matter.
Example: attributionsChart(BrinsonPAObj,Style="stacked")
Style
— Indicator to select style of attribution bar graphs
"grouped"
(default) | character vector with value 'grouped'
, 'stacked'
, or 'active'
| string with value "grouped"
, "stacked"
, or "active"
Indicator to select style of attribution bar graphs, specified as
Style
and one of the following values:
"grouped"
— Plot the bar graphs for the allocation, selection, and interaction effects side-by-side."stacked"
— Stack the bar graphs for the allocation, selection, and interaction effects."active"
— Plot the bar graphs for the active returns as the sum of allocation, selection, and interaction effects.
Data Types: char
| string
Output Arguments
h
— Figure handle
handle object
Figure handle for the performance attributions chart, returned as handle object. You can use the figure handle to access and change the properties of the chart.
Version History
Introduced in R2023a
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