Shortfall Risk

vida_blue

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The CFA texts occassionally use shortfall risk interchangeably with Roy’s Safety First but in the answer keys I see shortfall risk defined as
expected return - 2 x standard deviation
Anybody know where I can find this definition in the texts? Ran some searches but had no luck.
 
Roy’s SF is an ordinal measure of portfolio utility.
Shortfall is a confidence interval.
 
MrSmart wrote:
Roy’s SF is an ordinal measure of portfolio utility.
Shortfall is a confidence interval.
I haven’t looked at the LIII curriculum, but I’m not sure VaR is used like a confidence interval (isn’t it only looking at downside?).
 
tickersu wrote:
I haven’t looked at the LIII curriculum, but I’m not sure VaR is used like a confidence interval (isn’t it only looking at downside?).
I believe you’re right. VaR is typically concerned with just the downside.
 
Expected Shortfall is the loss that would be made if the VaR estimate is breached. If the 1 day VaR at 99% confidence is $1m then expected shortfall is the loss that could be made in that remaining 1%. Both look at the downside only.
 
tickersu wrote:
MrSmart wrote:
Roy’s SF is an ordinal measure of portfolio utility.
Shortfall is a confidence interval.
I haven’t looked at the LIII curriculum, but I’m not sure VaR is used like a confidence interval (isn’t it only looking at downside?).
It is a confidence interval, in the sense that there is a range with probability distributions. If you are looking at 5% VAR, you look the value at the 5% as the chance that the return would be less than that, or loss more than that.
 
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