[R-sig-Finance] Modified Cornish-Fisher VaR
Diethelm Wuertz
wuertz at itp.phys.ethz.ch
Thu Jul 27 15:35:48 CEST 2006
Brian G. Peterson wrote:
>Has anyone done any work on Modified Cornish-Fisher VaR calculations in R?
>
>
----------------- YES ----------------------
You can download R-functions and Description PDF from
http://www.itp.phys.ethz.ch/econophysics/favre/
WARNING - UNTESTED and not part of official Rmetrics !!!!!
Diethelm Wuertz
>The limitations of VaR in modeling of risk for non-normal distributions
>have been known for quite some time, and this approach seems to hold some
>value over other approaches already implemented in RMetrics like
>Conditional VaR.
>
>I'm trying to replicate the calculation as laid out in:
>Favre, Laurent, and Jose-Antonio Galeano. “Mean-Modified
>Value at Risk Optimization with Hedge Funds.” The Journal
>of Alternative Investments, 5 (2002), pp. 21-25.
>
>and presented in a different form in an earlier paper:
>Fallon, William. "Calculating Value-at-Risk"
>Working Paper, Wharton, 1996.
>
>Both of these papers rely on calculating traditional VaR (as is done with
>fPortfolio.VaR() from the RMetrics package) and then using a
>Cornish-Fisher Expansion for skew (both papers) or skew and kurtosis
>(Favre 2002) (as is done using the fBasics.skewness() and
>fBasics.kurtosis() functions from RMetrics)
>
>I'm wondering if anyone has already replicated this work in R, and could
>provide a pointer, or alternately if some of the more experienced people
>on this list could render an opinion on which of the Cornish-Fisher
>functions in the core R stats package might be appropriate for this kind
>of analysis.
>
>I would like to implement and share a function for Modified Cornish-Fisher
>VaR, so any assistance would be greatly appreciated.
>
>Regards,
>
> - Brian
>
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>
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