highfrequency (version 0.5.3)

rKurt: Realized kurtosis of highfrequency return series.

Description

Function returns Realized kurtosis, defined in Amaya et al. (2011).

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 rKurt is given by $$ \mbox{rKurt}_{t}= \frac{N \sum_{i=1}^{N}(r_{t,i})^4}{RV_{t}^2} $$ in which \(RV_t:\) realized variance

Usage

rKurt (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

numeric

References

Amaya, D., Christoffersen, P., Jacobs, K. and Vasquez, A. (2011). Do realized skewness and kurtosis predict the cross-section of equity returns?. CREATES research paper. p. 3-7.

Examples

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