Ekholm Decomposition of Hussman Strategic Growth (HSGFX)

Readme.md

TimingShare and SelectionShare

Please see these posts

• Popular Mutual Funds Decomposed With Ekholm (2014)
• SelectionShare & TimingShare | Masterfully Written by Delightfully Responsive Author

or even better the original paper

Ekholm, Anders G., July 21, 2014
Components of Portfolio Variance:
R2, SelectionShare and TimingShare
Available at SSRN: http://ssrn.com/abstract=2463649

code.R

# perform Ekholm (2012,2014) analysis on some popular mutual funds

# Ekholm, A.G., 2012
# Portfolio returns and manager activity:
#    How to decompose tracking error into security selection and market timing
# Journal of Empirical Finance, Volume 19, pp 349-€“358

# Ekholm, Anders G., July 21, 2014
# Components of Portfolio Variance:
#    R2, SelectionShare and TimingShare
# Available at SSRN: http://ssrn.com/abstract=2463649


library(Quandl)  # use to get Fama/French factors
library(pipeR)   # pipes are the future or R
library(rlist)   # rlist - like underscore/lodash for R lists
library(dplyr)   # super fast and really powerful
library(tidyr)   # next gen wide/long formatter package
library(latticeExtra) # old but still awesome
library(directlabels) # fantastic and works with ggplot & lattice
library(quantmod) # also will load xts

# use Quandl Kenneth French Fama/French factors
# http://www.quandl.com/KFRENCH/FACTORS_D
f <- Quandl("KFRENCH/FACTORS_D",type = "xts") / 100

# grab our function from post
# http://timelyportfolio.blogspot.com/2014/10/selectionshare-timingshare-masterfully.html
source(paste0(
  "https://gist.githubusercontent.com/timelyportfolio/e5728c8c7fb45dbdb6e0",
  "/raw/e124379f19225fcdee18f30cb848da6fc6cae764/ekholm.R"
))

c( "HSGFX" ) %>>%
  (~ lapply(
    .
    ,function(ticker) {
      ticker %>>%
        getSymbols( from = "1896-01-01", auto.assign = F ) %>>%
        (fund ~  
          structure(
            fund[,6] / stats::lag( fund[,6], 1 ) - 1
            ,dimnames = list(NULL,gsub(x = colnames(fund)[6], pattern  = "[\\.]Adjusted", replacement = ""))
          )
        ) %>>%
        merge( f ) %>>% #  Quandl("KFRENCH/FACTORS_D",type = "xts") / 100
        na.omit %>>%
        rollapply (
          FUN= function(x){
            x %>>%
              jensen_ekholm %>>% 
              ( data.frame( summary(.[["linmod"]])$"r.squared" , .$ekholm ) )  %>>%
              xts(order.by=tail(index(x),1)) -> return_df
            colnames(return_df)[1] <- "R_sq"
            return(return_df)
          }
          , width = 500
          #, by = 100
          , by.column=F
          , fill = NULL
        ) %>>%
        na.fill(0)
    }) -> ekFunds
  ) %>>%
  ( names(ekFunds) = . )

ekFunds %>>%
  list.map(
    f(fund,i) -> {
      structure(
        data.frame(
          date = index(fund)
          , fund = names(ekFunds)[i]
          , fund
        )
      ) %>>%
      gather(measure,value,-date,-fund)
    }
  ) %>>%
  (
    do.call( rbind , . )
  ) -> ekT

ekT %>>%
  # just plot at R^2, SelectionShare, and TimingShare
  filter( measure %in% c("R_sq","SelectionShare","TimingShare") ) %>>%
  
  (
    xyplot(
      value ~ date | measure
      , groups = fund
      , data = .
      , type = "l"
      # using direct.label so not necessary
      , auto.key = list( space = "right" )
      # title our plot
      , main = paste(
        "Comparison of Ekholm Decomposition for Various Mutual Funds"
        ,paste0("2 Year Rolling since ",format(.$date[1],format="%b %d, %Y"))
        ,sep="\n"
      )
      # layout one on top of the other
      , layout = c(1,length(unique(.$measure)))
    )
  ) %>>%
  # I like labels on plot rather than legend
  directlabels::direct.label( method = "last.qp" ) %>>%
  # pretty it up with the latticeExtra Economist theme
  asTheEconomist

ekT %>>%
    # just plot at R^2, SelectionShare, and TimingShare
    filter( measure %in% c("R_sq","SelectionShare","TimingShare") ) %>>%
    (
        nPlot(
            value ~ date
            ,group="measure"
            ,data = .
            ,type="stackedAreaChart"
        )
    ) %>>%
    (~ .$xAxis(
        tickFormat = "#!function(d){ return d3.time.format('%b %Y')(new Date( d * 24 * 60 * 60 * 1000 ))}!#"
    ) ) %>>%
    (~ .$chart( useInteractiveGuideline = T ) )# %>>% (~ .$publish("Ekholm Decomposition of Hussman Strategic Growth (HSGFX)" ) )

index.html

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  </head>
  <body >
    
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 "date":          11892,
"fund": "HSGFX",
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 "date":          11893,
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"fund": "HSGFX",
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"value": 0.1083567064533 
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 "date":          11929,
"fund": "HSGFX",
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"value": 0.1084519605491 
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"fund": "HSGFX",
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"value": 0.103958380474 
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 "date":          11934,
"fund": "HSGFX",
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"value": 0.1036041425587 
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"fund": "HSGFX",
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"fund": "HSGFX",
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"fund": "HSGFX",
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"value": 0.09995560985879 
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 "date":          11940,
"fund": "HSGFX",
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"value": 0.1001506669916 
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.1000187212496 
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 "date":          11942,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0972806561971 
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 "date":          11943,
"fund": "HSGFX",
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"value": 0.09752261566736 
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"fund": "HSGFX",
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 "date":          11949,
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"fund": "HSGFX",
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"value": 0.09778966827669 
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.09639070297117 
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 "date":          11955,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.09607743652006 
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 "date":          11956,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.09514006786005 
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 "date":          11957,
"fund": "HSGFX",
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 "date":          11960,
"fund": "HSGFX",
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"fund": "HSGFX",
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.09415762012907 
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.09377338115134 
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0915932450763 
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"fund": "HSGFX",
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"value": 0.08961927268358 
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"fund": "HSGFX",
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"value": 0.08717693704199 
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"fund": "HSGFX",
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"value": 0.0860895369927 
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"fund": "HSGFX",
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"fund": "HSGFX",
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"value": 0.07585157632352 
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"fund": "HSGFX",
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"value": 0.07490216496019 
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"fund": "HSGFX",
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"value": 0.07215268186643 
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"fund": "HSGFX",
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"value": 0.07239962575526 
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"fund": "HSGFX",
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"value": 0.0666086797831 
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"fund": "HSGFX",
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"value": 0.06596200985216 
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"fund": "HSGFX",
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{
 "date":          11991,
"fund": "HSGFX",
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"value": 0.06460154572226 
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 "date":          11992,
"fund": "HSGFX",
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"value": 0.06563229362472 
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"fund": "HSGFX",
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"value": 0.06583864637255 
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.06693776235786 
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 "date":          11999,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.06431647838465 
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 "date":          12002,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.06457833857459 
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 "date":          12003,
"fund": "HSGFX",
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"value": 0.06261917804995 
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 "date":          12004,
"fund": "HSGFX",
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 "date":          12009,
"fund": "HSGFX",
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"value": 0.06001005792547 
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"value": 0.05972887080108 
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"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05893425320362 
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 "date":          12012,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05973913291094 
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 "date":          12013,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05875834796484 
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{
 "date":          12016,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05684775497628 
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{
 "date":          12017,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05666555804681 
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 "date":          12018,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05520258841832 
},
{
 "date":          12020,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05534039538056 
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{
 "date":          12023,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0540380147333 
},
{
 "date":          12024,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05466367550809 
},
{
 "date":          12025,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05502103867516 
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{
 "date":          12026,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0481395776484 
},
{
 "date":          12027,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04635911982769 
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{
 "date":          12030,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04654945611745 
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{
 "date":          12031,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05105353682644 
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{
 "date":          12032,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04998967568097 
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{
 "date":          12033,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05009306131813 
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{
 "date":          12034,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05018276233043 
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 "date":          12037,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.05011334773389 
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 "date":          12038,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04732513683618 
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"value": 0.04805723778597 
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"value": 0.04676438677693 
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"value": 0.04249016607825 
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"value": 0.04283619570858 
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"measure": "R_sq",
"value": 0.03953838413002 
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 "date":          12047,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04053964660872 
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 "date":          12048,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04247255256902 
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 "date":          12051,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04314297238758 
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{
 "date":          12052,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0435865334665 
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{
 "date":          12054,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04603059497562 
},
{
 "date":          12055,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03949954142123 
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{
 "date":          12058,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04233680664023 
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{
 "date":          12059,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04081328738532 
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{
 "date":          12060,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04105565413448 
},
{
 "date":          12061,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04099180927486 
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{
 "date":          12062,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.04074102190863 
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{
 "date":          12065,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03946964281146 
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{
 "date":          12066,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03983669031436 
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{
 "date":          12067,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0393971601946 
},
{
 "date":          12068,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03943484397507 
},
{
 "date":          12069,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03889991574363 
},
{
 "date":          12073,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03861689768757 
},
{
 "date":          12074,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.03900131998763 
},
{
 "date":          12075,
"fund": "HSGFX",
"measure": "R_sq",
"value": 0.0401805895158 
},
{
 "date":          12076,
"fund": "HSGFX",
"measure": "R_sq",
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 "date":          12146,
"fund": "HSGFX",
"measure": "SelectionShare",
"value": 0.6740221455994 
},
{
 "date":          12149,
"fund": "HSGFX",