Maximum Drawdown or Maximum Loss
This function computes the maximum drawdown or maximum loss of the
univariate time series (or vector) x
.
maxdrawdown(x)
x |
a numeric vector or univariate time series. |
The max drawdown or max loss statistic is defined as the maximum
value drop after one of the peaks of x
. For financial
instruments the max drawdown represents the worst investment loss for
a buy-and-hold strategy invested in x
.
A list containing the following three components:
maxdrawdown |
double representing the max drawdown or max loss statistic. |
from |
the index (or vector of indices) where the max drawdown period starts. |
to |
the index (or vector of indices) where the max drawdown period ends. |
A. Trapletti
# Toy example x <- c(1:10, 9:7, 8:14, 13:8, 9:20) mdd <- maxdrawdown(x) mdd plot(x) segments(mdd$from, x[mdd$from], mdd$to, x[mdd$from], col="grey") segments(mdd$from, x[mdd$to], mdd$to, x[mdd$to], col="grey") mid <- (mdd$from + mdd$to)/2 arrows(mid, x[mdd$from], mid, x[mdd$to], col="red", length = 0.16) # Realistic example data(EuStockMarkets) dax <- log(EuStockMarkets[,"DAX"]) mdd <- maxdrawdown(dax) mdd plot(dax) segments(time(dax)[mdd$from], dax[mdd$from], time(dax)[mdd$to], dax[mdd$from], col="grey") segments(time(dax)[mdd$from], dax[mdd$to], time(dax)[mdd$to], dax[mdd$to], col="grey") mid <- time(dax)[(mdd$from + mdd$to)/2] arrows(mid, dax[mdd$from], mid, dax[mdd$to], col="red", length = 0.16)
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