rSVar: Realized semivariance of highfrequency return series

In highfrequency: Tools for Highfrequency Data Analysis

Realized semivariance of highfrequency return series

Description

Calculate the realized semivariances, defined in Barndorff-Nielsen et al. (2008).

Function returns two outcomes:

1. Downside realized semivariance

2. Upside realized semivariance.

Assume there are N equispaced returns r_{t,i} in period t, i=1, \ldots,N.

Then, the rSVar is given by

\mbox{rSVardownside}_{t}= \sum_{i=1}^{N} (r_{t,i})^2 \ \times \ I [ r_{t,i} < 0]

\mbox{rSVarupside}_{t}= \sum_{i=1}^{N} (r_{t,i})^2 \ \times \ I [ r_{t,i} > 0]

Usage

rSVar(rData, alignBy = NULL, alignPeriod = NULL, makeReturns = FALSE, ...)

Arguments

rData	an xts or data.table object containing returns or prices, possibly for multiple assets over multiple days.
alignBy	character, indicating the time scale in which alignPeriod is expressed. Possible values are: "ticks", "secs", "seconds", "mins", "minutes", "hours"
alignPeriod	positive numeric, indicating the number of periods to aggregate over. For example to aggregate. based on a 5-minute frequency, set alignPeriod = 5 and alignBy = "minutes".
makeReturns	boolean, should be TRUE when rData contains prices instead of returns. FALSE by default.
...	used internally

Value

list with two entries, the realized positive and negative semivariances

Author(s)

Giang Nguyen, Jonathan Cornelissen, Kris Boudt, and Emil Sjoerup.

References

Barndorff-Nielsen, O. E., Kinnebrock, S., and Shephard N. (2010). Measuring downside risk: realised semivariance. In: Volatility and Time Series Econometrics: Essays in Honor of Robert F. Engle, (Edited by Bollerslev, T., Russell, J., and Watson, M.), 117-136. Oxford University Press.

See Also

IVar for a list of implemented estimators of the integrated variance.

Examples

sv <- rSVar(sampleTData[, list(DT, PRICE)], alignBy = "minutes",
          alignPeriod = 5, makeReturns = TRUE)
sv

highfrequency documentation built on Oct. 4, 2023, 5:08 p.m.