Questions tagged [value-at-risk]
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How to prove the following relation of Conditional Value-at-Risk and Value-at-Risk?
How to prove the following relation of Conditional Value-at-Risk $\text{CVaR}_{\alpha}(X)$ and Value-at-Risk $\text{VaR}_{\alpha}(X)$,
\begin{equation}
\text{CVaR}_{\alpha}(X) = \text{VaR}_{\alpha}(X)+...
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Pricing default risk in cryptos
I'm looking to figure out how to price "insurance" against a counter-party defaulting in an OTC cryptocurrency transaction. I think the first measure would be to calculate VaR? I'm planning on ...
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1answer
41 views
Value at Risk for normal r.v. with shock (regimes)
I am struggling to understand how was this simple Value-at-Risk calculated. It's Example 1 in Daníelsson, Jón, et al. "Fat tails, VaR and subadditivity." Journal of econometrics 172.2 (2013): 283-291 (...
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30 views
References for Risk Adjusted Portfolio Optimization
I'm trying to formulate BL portfolios which use Mean VaR, Mean CVaR optimization to calculate risk-adjusted equilibrium returns. Can someone point me to any references on this topic? I'm looking for ...
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1answer
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How to calculate $\frac{\partial\ \text{CVaR}_{\alpha}(\min(X,d))}{\partial d}$ and $\frac{\partial\ \text{VaR}_{\alpha}(\min(X,d))}{\partial d}$?
How to calculate $\frac{\partial\ \text{CVaR}_{\alpha}(\min(X,d))}{\partial d}$ and $\frac{\partial\ \text{VaR}_{\alpha}(\min(X,d))}{\partial d}$?
Here, $\text{CVaR}$ is short for Conditional Value-...
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1answer
77 views
How to compute a single Value-at-Risk (a single quantile) of portfolio returns taking into account correlation between individual returns?
Introduction
My goal is to retrieve a single Value-at-Risk (VaR) of a N(0, H) random variable $X$ at the $\alpha \in (0,1)$ confidence level where H is a known d-dimensional positive definite matrix ...
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Hedger's utility function associated with minimizing value at risk
What must be the general shape of a hedger's utility function if the hedger is minimizing value at risk?
What is a simple example of such a utility function?
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Does it make sense to simulate from the multidimensional GBM?
Suppose I have times series data on 3 assets and I do $N$ simulations (GBM) first for each of assets individually and then from a multidimensional GBM since their log-returns are correlated (I use ...
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1answer
98 views
Volatility scenario generation for value-at-risk
I have the following problem: For a single name plain vanilla equity option calculate 1y VaR for given confidence level.
Is there any state-of-the-art or current market practice known on how to ...
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1answer
71 views
Negative VaR equivalent Volatility (VEV) and its meaning?
Can a VaR equivalent Volatility (VEV) as defined by KID/PRIIPS law be negative and what does it mean if it has a negative value?
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1answer
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What is the relationship of Value-at-Risk of a random variable $X$ and a constant $D$ $VaR_{\alpha}(min(X,D))$and $VaR_{\alpha}(X)$?
Suppose $X$ is a nonnegative random variable and $D$ is a constant, what is the relationship of $\text{VaR}_{\alpha}(min(X,D))$ and $VaR_{\alpha}(X)$? Here, $VaR$ stands for Value-at-Risk as,
$$
VaR_{\...
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1answer
54 views
Value at Risk for a plain vanilla interest rate swap
Hello I have question regarding the computations of the Value at Risk for a plain vanilla interest rate swap (i.e. same currency and fixed-for-floating).
I have a data set consisting of the Swap ...
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1answer
52 views
Value-at-Risk and dividend payments
How should dividends be considered when computing Value-at-Risk for a stock portfolio using Historic data.
To simplify let's consider a very simple portfolio of one long position on a stock. My VaR ...
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Difference between Standard VaR and VaR with partial set of Risk Factors
Ciao,
I'm working on VaR and Expected Shortfall and this question came out.
For a given portfolio VaR can be computed w.r.t. all the risk factors or just for a subset. Infact you can decide to 'freeze'...
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66 views
Delta- Gamma approximations for VaR
I was reading Delta- Gamma approximations for VaR from Phillipe Jorion-Value at Risk 3rd edition, I got stuck here, how do they derive equation $10.10$ from $10.9$.
Also in eq. $10.9$ they have ...
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Definition of μ in Parametric Absolute Ex-Ante Risk
Parametric Value at Risk (of an investment fund) depends on the Gaussian Distribution and comes in two forms; Relative VaR (ie relative to the mean) and Absolute VaR. Both are calculated as ...
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1answer
85 views
VaR of long options
I just had a chat with a risk manager who thinks that the daily VaR of a long option with a maturity under three months should be 'Premium of the Option' / 20 (assuming twenty days in a month)
...
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36 views
How can I find what Loss Given Default to use
I want to come up with the appropriate loss given default for a commodity derivative in my CVA calculation. would anyone know where I can find this information?
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60 views
Average Return Differential calculation
I am reading Table II Page 28 in Value at Risk and the Cross-Section of Hedge Fund Returns by Turan G. Bali, Suleyman Gokcan, and Bing Liang.
link
Please can anyone explain the calculation of t-...
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Do they apply any weights to asset PnLs before arriving at Pflio PnL in HVaR Computation?
My current understanding is; Eg: If you have 2 assets in your pflio
1.the assets are mapped to risk factors.
2.Historical Shocks are applied to risk factors and the assets are valued again.
3....
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1answer
109 views
What is the name of this VaR calculation strategy?
Here's a question on a passage from this paper I'm reading. Here's the quote:
Given the vector of portfolio weights $w$, and the estimate of the
conditional variance, $\Sigma_{t,k}$, the ...
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1answer
112 views
Risk Management methods for Stock portfolio with ~30 stocks
What is ideal Risk Management method/methods s for stock portfolios with 25-30 stocks and around 50.000 USD invested in those stocks. Every stock bought will be kept in the portfolio for 1 to 12 ...
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2answers
87 views
Assigning Global VaR to portfolio members
Assuming that I calculate a parametric VaR of a portfolio with 3 assets, and I need to assign the amount each asset (equity) contributes to the VaR.
Lets say that:
$C$: Is the correlation matrix
$w$:...
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27 views
Choosing the DoF for a t-copula when copulafit doesn't work
I'm currently writing my Master thesis where I investigate some different methods of dimension reduction regarding Value at Risk for very large equity portfolios.
My current data set contains of 5000 ...
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1answer
62 views
Calculating Value at Risk (VaR) of a Stock position assuming geomtric brownian motion (GBM)
I want to calculate the VaR for a long position (S) in stockprices after one year. Therefore i tried two methods:
analytical solution: $VaR = S\cdot p_0\cdot \sigma_d \cdot \Phi^{-1}(1-\alpha)\cdot \...
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0answers
41 views
VaR decomposition of non-normal portfolio by g-and-h distribution
According to Doowoo Nam (2013), VaR of non-normal portfolio returns approximated by g-and-h distribution can be decomposed pretty much in the same way as the VaR of a portfolio with normal returns. ...
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73 views
Backtesting VaR
I just started reading about Value at Risk and there were a few questions that were brought to me as I was fiddling with it in R. Suppose my time series that is ...
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1answer
129 views
Intuitive explanation for expectiles
I am looking for an intuitive explanation for expectiles.
Here is a link to a paper about expectiles:
Bellini and Di Bernardino: Risk Management with Expectiles, European Journal of Finance, May ...
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1answer
157 views
Can portfolio Value-at-Risk be calculated analytically for multivariate t-distributed returns?
It is widely known that VaR is generally not sub-additive in all but the most restrictive cases (typically when a Gaussian return distribution is assumed, which fails when it matters the most).
...
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1answer
123 views
Risk Compensation
I try to understand the different ways to compensate for risk.
In the CAPM, when we plot the excess return against the risk, we find that portfolios of interest lie on the efficient frontier (i.e. ...
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Calculate VaR using the extreme value theory
I am trying to calculate the Value at Risk for different models. But I am now confused for some reason. Could you please help me?
I calculate the 1% and 5% VaR (so negative numbers) and I am also ...
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1answer
60 views
Calculate standard deviation from the value at risk
I have the following data:
VaR
VaR%
Expected return
Am I right to think that I would be able to derive standard deviation from this?
Using the formula: VaR%= ER-(zscore*SD), I should be able to ...
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0answers
37 views
Value at Risk Back Testing on “constant” Derivative Portfolios
I'm looking at back testing the performance of a monte carlo based value at risk model under a portfolio consisting of options, futures and interest rate swaps.
The difficulty I see is this. I would ...
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1answer
339 views
Ratio between Expected Shortfall and Value at Risk for $t$-distribution
If $X$ is a random variable with $t$-distribution of parameter $\mathcal{v}$, how can I prove that
$$
\lim_{\alpha \to 1^{-}} \frac{\mathrm{ES}_{\alpha}(X)}{\mathrm{VaR}_{\alpha}(X)} = \frac{\mathcal{...
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1answer
56 views
What's the relationship between $VaR_{\alpha}(X)$ and $VaR_{1-\alpha}(X)$ if the probability distribution function is not symmetric?
If the probability distribution function $f(x)$ is not symmetric, is there any relationship between $VaR_{\alpha}(X)$ and $VaR_{1-\alpha}(X)$?
Here, $VaR$ is defined as
$$
VaR_{\alpha}(X) := \inf\...
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1answer
313 views
VaR : Student-t GARCH
I have a question on the VaR estimation via the student t GARCH model.
Under this framework, the one day ahead VaR estimate is calculated by the following formula:
$$VaR_{p}=\mu_{t+1}+\sigma_{t+1}\...
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1answer
143 views
Questions abut VaR and CVaR. Is there any relation between $VaR_{\alpha}(X)$ and $VaR_{\alpha}(-X)$, or $CVaR_{\alpha}(X)$ and $CVaR_{\alpha}(-X)$?
I have some questions when dealing with Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR).
Is there any relationship between $VaR_{\alpha}(X)$ and $VaR_{\alpha}(-
X)$, or $CVaR_{\alpha}(X)$ ...
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1answer
110 views
VaR Backtesting. High frequency of exceedances
I'm preparing for thesis defense and I've got simple question connected with Value at Risk backtesting. Portfolio VaR was calculated using historical simulation approach (250 days and 500days) and ...
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1answer
210 views
Confidence Interval on Monte-Carlo-CVaR
I use the Monte-Carlo Simulation for the computation of VaR and CVaR and wish to compute the 95% Confidence Interval of my result(not the confidence level of VaR). In the case of VaR this is simple ...
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1answer
377 views
Backtesting Value at Risk. With kupiec test
I have a certain problem with backtesting calculated earlier Value at Risk.
I've got calculated daily VaR with historical simulation method for stocks. I've used two values of alpha 0.05 and 0.1. Now,...
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1answer
85 views
testing stressed VaR
How can you compare stressed VaR estimates?
What are statistical tests for assessing the quality of stressed VaR estimates?
I think the VaR Coverage test for example by Christoffersen (1988) would ...
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1answer
253 views
Why do regulators assume a risk-neutral world?
It is clear that when pricing derivatives we do this in the risk-neutral measure for known reasons.
In the calculation of the VaR equivalent Volatility (VEV) in the KID-SRRI calculation (see page 9 ...
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2answers
571 views
non-subadditivity of VaR
I have been reading up on VaR and get very confused by the subadditivity concept.
On wikipedia, it says "VaR is not subadditive: VaR of a combined portfolio can be larger than the sum of the VaRs ...
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1answer
79 views
Integrating Credit and Market VaR
For a portfolio of fixed income, is there a framework or model for providing a VaR-type estimate that takes into account not only market risk factors, but also the loss associated with the probability ...
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1answer
469 views
Gaussian vs Student Copula applied to finance
I would like to get your opinion on the following topic:
I am comparing the behaviour of Gaussian and Student-t Copulas.
I employ the follwing procedure:
Simulate N=100,000 samples from a Student ...
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2answers
173 views
Value at Risk - What if an account has never suffered from a negative return
I want to implement an algorithm that calculates an account's 95% value at risk on a monthly return base. The case I want to describe in this question is rather academic and will probably never happen ...
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1answer
125 views
Energy Risk Quant--Any discussion boards for energy related quant topics?
Any discussion boards for energy related quant topics? Like VaR in energy portfolio, and pipeline option pricing.. just want to know where is the best discussion board for such energy specific topics.
...
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2answers
384 views
Is there a recognized alternative to Value at Risk for risk reporting?
In my research, VaR in risk reporting has regularly come under criticism for not capturing tail-risk adequately and for creating a false sense of confidence when taken literally as "the maximum value ...
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1answer
1k views
Question regarding the Category 3 PRIIP MRM calculation
My question is regarding the European Commission regulation on standardizing the information in the key information documents for PRIIPs. In the Annex IV of the regulation, one can find the ...
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1answer
281 views
Modeling tail data using Generalized Pareto distribution
I just estimated a ARMA(1,1)+GARCH(1,1)+Threshold order(1) equation for time series of stock prices.
Now I'm going to estimate the residuals' marginal ...
