Questions tagged [cvar]
The cvar tag has no usage guidance.
15
questions with no upvoted or accepted answers
4
votes
0answers
125 views
Large deviations theory in finance
In probability theory, the theory of large deviations concerns the asymptotic behavior of remote tails of sequences of probability distributions.
A related post says:
Large deviations theory is ...
3
votes
0answers
51 views
Expected Shortfall for ARMA-GARCH Model
I need to find an analytical solution for the 99% confidence expected shortfall (CVaR) for a long position of 100 dollars at time $t$ for an asset with returns modeled by an ARMA(1,1)-GARCH(1,1) model ...
3
votes
0answers
238 views
Non-parametric estimator - CVaR / Expected shortfall
Is the estimation of the CVaR using known non-parametric methods (histogram, kernels) different than the estimation of any other R.V.?
If the answer is yes, I am interested to know whether there are ...
2
votes
0answers
39 views
Which performance evaluation measure to assess “Connectedness Matrix” based porfolios?
1. Question
Which performance evaluation measure would be best to assess the portfolios built on 'connectedness matrix'? The connectedness matrix is the concept introduced in the academic paper "...
2
votes
0answers
139 views
Methods for calculating Expected shortfall
Let B1, B2 be two defaultable zero-coupon bonds maturing in 1 year, each
with a face value of $100. Assume:
each bond is priced at 90 dollars
each bond has a 4% probability to default within 1 year
...
1
vote
0answers
47 views
Mean-EVaR efficient frontier
Entropic Value-at-Risk (EVaR) is an alternative and more efficient risk measure than conditional Value-at-Risk (CVaR). EVaR serves as an upper bound to both VaR and CVaR.
Below is a graph of the mean-...
1
vote
0answers
144 views
CVar optimization algorithms
An alternative measure of losses to Var, with more attractive properties, is Conditional Value-at-risk or CVar which is also called Mean Excess Loss, Mean Shortfall, or Tail Var. CVar is a more ...
1
vote
0answers
68 views
CVaR portfolio optimization with risk aversion parameter
I'm trying to implement the Rockafellar's function described in this paper http://past.rinfinance.com/agenda/2009/yollin_slides.pdf with a risk aversion parameter for my thesis.
The function to ...
1
vote
1answer
338 views
Manually calculating and backtesting VaR and CVaR from DCC-GARCH R
I estimated a GARCH fit to the log returns of three series (CAC 40, a french real estate index and french T10 bond yield series) using rugarch. I then manually ...
1
vote
0answers
78 views
Mean-cVaR model: How can one include transaction cost
$$
\min \delta CVaR - (1-\delta) \sum_i^{n} \mu_i x_i \\
\sum x_i = \sum x^{old}_i \\
Losses(s) = \sum x_i - \sum_i^{n} (R(s,i))x_i \\
VaRDev(s) = Losses(s) - VaR \\
CVaR = VaR + \frac{\sum_s^{} ...
1
vote
0answers
258 views
Berkowitz test for CVaR backtesting
I want to test CVaR using the Berkowitz test (focus on the left tail). I have a couple of doubts:
Do I need to transform only actual losses that are above CVaR;
In the first transformation, whether ...
1
vote
0answers
104 views
How to understand quadratic finance or practice of Value-at -Risk(VaR)
We define the following notions for a jointly normally distributed random vector $P=(P_1,...,P_n)$ with f the density function.
$$\mu=\int_{-\infty}^{\infty}(x_i-\mu_i)f_i(x_i)dx_i$$
$$\sigma^2_{ij}=...
1
vote
0answers
86 views
how to find CVaR/AVaR for triangular fuzzy no
While going through different methods of risk measure i came across AVaR/CVaR, while i was calculating AVaR/CVaR in credibilistic environment using VaR, i got stuck in the calculations
eg. For ...
0
votes
0answers
20 views
How to prove the following relation of Conditional Value-at-Risk and Value-at-Risk and Conditional Tail Expectation?
How to prove the following relation of Conditional Value-at-Risk and Value-at-Risk and Conditional Tail Expectation????
0
votes
0answers
122 views
How to derive the limit of ratio between VaR and CVaR?
I know if $X \sim N(\mu,\sigma^2)$, then $VaR_{\alpha}(X) =\mu + \sigma\Phi^{-1}(\alpha)$ and $CVaR_{\alpha}(X) = \mu + \sigma \frac{\phi(\Phi^{-1}(\alpha))}{1-\alpha}$
But how to evaluate $\lim_{\...
