tseries (version 0.10-48)

# maxdrawdown: Maximum Drawdown or Maximum Loss

## Description

This function computes the maximum drawdown or maximum loss of the univariate time series (or vector) `x`.

## Usage

`maxdrawdown(x)`

## Arguments

x

a numeric vector or univariate time series.

## Value

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.

## Details

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`.

## See Also

`sterling`

## Examples

```# NOT RUN {
# 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)
# }
```