highfrequency (version 0.5.3)

rSV: Realized semivariance of highfrequency return series.

Description

Function returns Realized semivariance, defined in Barndorff-Nielsen et al. (2008).

Function returns two outcomes: 1.Downside realized semivariance and 2.Upside realized semivariance.

Assume there is \(N\) equispaced returns in period \(t\). Let \(r_{t,i}\) be a return (with \(i=1, \ldots,N\)) in period \(t\).

Then, the rSV is given by $$ \mbox{rSVdownside}_{t}= \sum_{i=1}^{N} (r_{t,i})^2 \ \times \ I [ r_{t,i} <0 ] $$ $$ \mbox{rSVupside}_{t}= \sum_{i=1}^{N} (r_{t,i})^2 \ \times \ I [ r_{t,i} >0 ] $$

Usage

rSV (rdata,align.by=NULL,align.period=NULL,makeReturns=FALSE,...)

Arguments

rdata

a zoo/xts object containing all returns in period t for one asset.

align.by

a string, align the tick data to "seconds"|"minutes"|"hours"

align.period

an integer, align the tick data to this many [seconds|minutes|hours].

makeReturns

boolean, should be TRUE when rdata contains prices instead of returns. FALSE by default.

...

additional arguments.

Value

list

References

Barndorff- Nielsen, O.E., Kinnebrock, S. and Shephard N. (2008). Measuring downside risk- realized semivariance. CREATES research paper. p. 3-5

Examples

# NOT RUN {
data(sample_tdata)
rSV(sample_tdata$PRICE,align.by ="minutes", align.period =5, makeReturns = TRUE)
# }