hledger-1.20.3: Hledger/Cli/Commands/Roi.hs
{-# LANGUAGE ParallelListComp #-}
{-# LANGUAGE TemplateHaskell #-}
{-|
The @roi@ command prints internal rate of return and time-weighted rate of return for and investment.
-}
module Hledger.Cli.Commands.Roi (
roimode
, roi
) where
import Control.Monad
import System.Exit
import Data.Time.Calendar
import Text.Printf
import Data.Function (on)
import Data.List
import Numeric.RootFinding
import Data.Decimal
import qualified Data.Text as T
import System.Console.CmdArgs.Explicit as CmdArgs
import Text.Tabular as Tbl
import Text.Tabular.AsciiWide as Ascii
import Hledger
import Hledger.Cli.CliOptions
roimode = hledgerCommandMode
$(embedFileRelative "Hledger/Cli/Commands/Roi.txt")
[flagNone ["cashflow"] (setboolopt "cashflow") "show all amounts that were used to compute returns"
,flagReq ["investment"] (\s opts -> Right $ setopt "investment" s opts) "QUERY"
"query to select your investment transactions"
,flagReq ["profit-loss","pnl"] (\s opts -> Right $ setopt "pnl" s opts) "QUERY"
"query to select profit-and-loss or appreciation/valuation transactions"
]
[generalflagsgroup1]
hiddenflags
([], Just $ argsFlag "[QUERY]")
-- One reporting span,
data OneSpan = OneSpan
Day -- start date, inclusive
Day -- end date, exclusive
Quantity -- value of investment at the beginning of day on spanBegin_
Quantity -- value of investment at the end of day on spanEnd_
[(Day,Quantity)] -- all deposits and withdrawals (but not changes of value) in the DateSpan [spanBegin_,spanEnd_)
[(Day,Quantity)] -- all PnL changes of the value of investment in the DateSpan [spanBegin_,spanEnd_)
deriving (Show)
roi :: CliOpts -> Journal -> IO ()
roi CliOpts{rawopts_=rawopts, reportspec_=rspec} j = do
d <- getCurrentDay
let
ropts = rsOpts rspec
showCashFlow = boolopt "cashflow" rawopts
prettyTables = pretty_tables_ ropts
makeQuery flag = do
q <- either usageError (return . fst) . parseQuery d . T.pack $ stringopt flag rawopts
return . simplifyQuery $ And [queryFromFlags ropts{period_=PeriodAll}, q]
investmentsQuery <- makeQuery "investment"
pnlQuery <- makeQuery "pnl"
let
trans = dbg3 "investments" $ jtxns $ filterJournalTransactions investmentsQuery j
journalSpan =
let dates = map transactionDate2 trans in
DateSpan (Just $ minimum dates) (Just $ addDays 1 $ maximum dates)
requestedSpan = periodAsDateSpan $ period_ ropts
requestedInterval = interval_ ropts
wholeSpan = spanDefaultsFrom requestedSpan journalSpan
when (null trans) $ do
putStrLn "No relevant transactions found. Check your investments query"
exitFailure
let spans = case requestedInterval of
NoInterval -> [wholeSpan]
interval ->
splitSpan interval $
spanIntersect journalSpan wholeSpan
tableBody <- forM spans $ \(DateSpan (Just spanBegin) (Just spanEnd)) -> do
-- Spans are [spanBegin,spanEnd), and spanEnd is 1 day after then actual end date we are interested in
let
valueBefore =
total trans (And [ investmentsQuery
, Date (DateSpan Nothing (Just spanBegin))])
valueAfter =
total trans (And [investmentsQuery
, Date (DateSpan Nothing (Just spanEnd))])
cashFlow =
calculateCashFlow trans (And [ Not investmentsQuery
, Not pnlQuery
, Date (DateSpan (Just spanBegin) (Just spanEnd)) ] )
pnl =
calculateCashFlow trans (And [ Not investmentsQuery
, pnlQuery
, Date (DateSpan (Just spanBegin) (Just spanEnd)) ] )
thisSpan = dbg3 "processing span" $
OneSpan spanBegin spanEnd valueBefore valueAfter cashFlow pnl
irr <- internalRateOfReturn showCashFlow prettyTables thisSpan
twr <- timeWeightedReturn showCashFlow prettyTables investmentsQuery trans thisSpan
let cashFlowAmt = negate $ sum $ map snd cashFlow
let smallIsZero x = if abs x < 0.01 then 0.0 else x
return [ showDate spanBegin
, showDate (addDays (-1) spanEnd)
, show valueBefore
, show cashFlowAmt
, show valueAfter
, show (valueAfter - (valueBefore + cashFlowAmt))
, printf "%0.2f%%" $ smallIsZero irr
, printf "%0.2f%%" $ smallIsZero twr ]
let table = Table
(Tbl.Group NoLine (map (Header . show) (take (length tableBody) [1..])))
(Tbl.Group DoubleLine
[ Tbl.Group SingleLine [Header "Begin", Header "End"]
, Tbl.Group SingleLine [Header "Value (begin)", Header "Cashflow", Header "Value (end)", Header "PnL"]
, Tbl.Group SingleLine [Header "IRR", Header "TWR"]])
tableBody
putStrLn $ Ascii.render prettyTables id id id table
timeWeightedReturn showCashFlow prettyTables investmentsQuery trans (OneSpan spanBegin spanEnd valueBefore valueAfter cashFlow pnl) = do
let initialUnitPrice = 100
let initialUnits = valueBefore / initialUnitPrice
let changes =
-- If cash flow and PnL changes happen on the same day, this
-- will sort PnL changes to come before cash flows (on any
-- given day), so that we will have better unit price computed
-- first for processing cash flow. This is why pnl changes are Left
-- and cashflows are Right
sort
$ (++) (map (\(date,amt) -> (date,Left (-amt))) pnl )
-- Aggregate all entries for a single day, assuming that intraday interest is negligible
$ map (\date_cash -> let (dates, cash) = unzip date_cash in (head dates, Right (sum cash)))
$ groupBy ((==) `on` fst)
$ sortOn fst
$ map (\(d,a) -> (d, negate a))
$ cashFlow
let units =
tail $
scanl
(\(_, _, unitPrice, unitBalance) (date, amt) ->
let valueOnDate = total trans (And [investmentsQuery, Date (DateSpan Nothing (Just date))])
in
case amt of
Right amt ->
-- we are buying or selling
let unitsBoughtOrSold = amt / unitPrice
in (valueOnDate, unitsBoughtOrSold, unitPrice, unitBalance + unitsBoughtOrSold)
Left pnl ->
-- PnL change
let valueAfterDate = valueOnDate + pnl
unitPrice' = valueAfterDate/unitBalance
in (valueOnDate, 0, unitPrice', unitBalance))
(0, 0, initialUnitPrice, initialUnits)
changes
let finalUnitBalance = if null units then initialUnits else let (_,_,_,u) = last units in u
finalUnitPrice = if finalUnitBalance == 0 then initialUnitPrice
else valueAfter / finalUnitBalance
-- Technically, totalTWR should be (100*(finalUnitPrice - initialUnitPrice) / initialUnitPrice), but initalUnitPrice is 100, so 100/100 == 1
totalTWR = roundTo 2 $ (finalUnitPrice - initialUnitPrice)
years = fromIntegral (diffDays spanEnd spanBegin) / 365 :: Double
annualizedTWR = 100*((1+(realToFrac totalTWR/100))**(1/years)-1) :: Double
let s d = show $ roundTo 2 d
when showCashFlow $ do
printf "\nTWR cash flow for %s - %s\n" (showDate spanBegin) (showDate (addDays (-1) spanEnd))
let (dates', amounts) = unzip changes
cashflows' = map (either (\_ -> 0) id) amounts
pnls' = map (either id (\_ -> 0)) amounts
(valuesOnDate',unitsBoughtOrSold', unitPrices', unitBalances') = unzip4 units
add x lst = if valueBefore/=0 then x:lst else lst
dates = add spanBegin dates'
cashflows = add valueBefore cashflows'
pnls = add 0 pnls'
unitsBoughtOrSold = add initialUnits unitsBoughtOrSold'
unitPrices = add initialUnitPrice unitPrices'
unitBalances = add initialUnits unitBalances'
valuesOnDate = add 0 valuesOnDate'
putStr $ Ascii.render prettyTables id id id
(Table
(Tbl.Group NoLine (map (Header . showDate) dates))
(Tbl.Group DoubleLine [ Tbl.Group SingleLine [Header "Portfolio value", Header "Unit balance"]
, Tbl.Group SingleLine [Header "Pnl", Header "Cashflow", Header "Unit price", Header "Units"]
, Tbl.Group SingleLine [Header "New Unit Balance"]])
[ [value, oldBalance, pnl, cashflow, prc, udelta, balance]
| value <- map s valuesOnDate
| oldBalance <- map s (0:unitBalances)
| balance <- map s unitBalances
| pnl <- map s pnls
| cashflow <- map s cashflows
| prc <- map s unitPrices
| udelta <- map s unitsBoughtOrSold ])
printf "Final unit price: %s/%s units = %s\nTotal TWR: %s%%.\nPeriod: %.2f years.\nAnnualized TWR: %.2f%%\n\n" (s valueAfter) (s finalUnitBalance) (s finalUnitPrice) (s totalTWR) years annualizedTWR
return annualizedTWR
internalRateOfReturn showCashFlow prettyTables (OneSpan spanBegin spanEnd valueBefore valueAfter cashFlow _pnl) = do
let prefix = (spanBegin, negate valueBefore)
postfix = (spanEnd, valueAfter)
totalCF = filter ((/=0) . snd) $ prefix : (sortOn fst cashFlow) ++ [postfix]
when showCashFlow $ do
printf "\nIRR cash flow for %s - %s\n" (showDate spanBegin) (showDate (addDays (-1) spanEnd))
let (dates, amounts) = unzip totalCF
putStrLn $ Ascii.render prettyTables id id id
(Table
(Tbl.Group NoLine (map (Header . showDate) dates))
(Tbl.Group SingleLine [Header "Amount"])
(map ((:[]) . show) amounts))
-- 0% is always a solution, so require at least something here
case totalCF of
[] -> return 0
_ -> case ridders (RiddersParam 100 (AbsTol 0.00001))
(0.000000000001,10000)
(interestSum spanEnd totalCF) of
Root rate -> return ((rate-1)*100)
NotBracketed -> error' $ "Error (NotBracketed): No solution for Internal Rate of Return (IRR).\n"
++ " Possible causes: IRR is huge (>1000000%), balance of investment becomes negative at some point in time."
SearchFailed -> error' $ "Error (SearchFailed): Failed to find solution for Internal Rate of Return (IRR).\n"
++ " Either search does not converge to a solution, or converges too slowly."
type CashFlow = [(Day, Quantity)]
interestSum :: Day -> CashFlow -> Double -> Double
interestSum referenceDay cf rate = sum $ map go cf
where go (t,m) = fromRational (toRational m) * (rate ** (fromIntegral (referenceDay `diffDays` t) / 365))
calculateCashFlow :: [Transaction] -> Query -> CashFlow
calculateCashFlow trans query = filter ((/=0).snd) $ map go trans
where
go t = (transactionDate2 t, total [t] query)
total :: [Transaction] -> Query -> Quantity
total trans query = unMix $ sumPostings $ filter (matchesPosting query) $ concatMap realPostings trans
unMix :: MixedAmount -> Quantity
unMix a =
case (unifyMixedAmount $ mixedAmountCost a) of
Just a -> aquantity a
Nothing -> error' $ "Amounts could not be converted to a single cost basis: " ++ show (map showAmount $ amounts a)