Questions tagged [value-at-risk]

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97 views

VaR on Interest Rate Swaps

I am a newbie and was after a simple explanation on how VaR is calculated for a portfolio of IRS's.
64 views

Does VaR calculations consider my portfolio past

I am relatively new to trading and decided to become more quantitative about it. I have had a portfolio for about two years, where I changed my positions several times. I now learnt about VaR ...
34 views

How is VaR calculated for forward contracts accounting for European put options?

My initial idea is to create profit and loss using an equation like this: \begin{align} P\&L = & \text{European Put P&L} + \text{Forward P&L}\\ P\&L = & [(K-S_T)^+...
28 views

PRIIPs KID: if VaR (Return Space) < -1, how to compute VEV (VaR-equivalent volatility)?

The PRIIPs regulation does not specify how to compute the VaR-equivalent volatility if $VaR_{Return Space} < -1$. What would you do in the following case? I have the following moments from the ...
45 views

How is a return-adjusted nearby created?

I am reading Value-at-Risk Second Edition – by Glyn A. Holton https://www.value-at-risk.net/futures-nearbys-and-distortions/ From 6.6.1 "The standard means of obtaining continual time series from ...
50 views

How is VaR calculated with mixed return-periods

For example, if you have a dataset of returns that are not daily or yearly, but span 24 days, 1 day, 5 days, 7 days, etc., how do you calculate or interpret the VaR of that? I've tried linearly ...
52 views

Risk factor mapping of a foreign bond

Suppose the investor is Australian, and there is a single, 3-month, USD-denominated zero-coupon bond with a face value of \$1 million USD. The AUD/USD exchange rate is \$1.2AUD/USD, and the 3-month US ...
86 views

How to set VaR and other Risk Limits

I have read a lot of literature on how to calculate VaR and it's advantages and disadvantages. But I am struggling to find anything on how to set a VaR limit. For example, say if I am a Risk Manager ...
115 views

Filtered Historical Simulation VaR for swaps

I am trying to understand how to calculate FHS VaR for a portofolio of vanilla swaps. I think I understand the main ideas behind FHS VaR and how to implement it for other assets such as equities. I ...
37 views

Which distribution has higher VaR?

Let say I have 2 distributions with cdf $F_1$ and $F_2$. And I know that $F_1 \leq F_2$. With this information I know that $F_1$ has bigger lower tail than $F_2$ but I don't think this right away ...
72 views

Computing VaR in a Monte Carlo simulation (question from Joshi's book)

I am studying Joshi's book on C++ for derivatives pricing. I am at chapter 5 on implementing a statistics gatherers class to use in a (simple) MC routine for pricing vanilla options, where it is ...
184 views

Is there a Python package that implements backtesting for VaR?

I would like to use the tests of Christoffersen (1998), Engle and Manganelli (2004) or Kupiec (1995) to evaluate how good are the VaRs that I have projected. Is there a library that implements these ...
36 views

I want to calculate VaR for bonds using historical z-spread changes. I want to apply the changes to the present day z-spread, reprice the bond and obtain the PnLs from which I can calculate VaR. But ...
47 views

Testing severity of VaR by changing portfolio component weights

Let's assume that I have a portfolio with two components:$$\omega_i = 0.3$$ $$\omega_j = 0.7$$ I also have two P&L vectors, $v_i$ and $v_j$ each containing 1000 P&Ls. I would like to play ...
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Backtesting Value-At-Risk (20-days)

I calculate the 20-day returns of (rolling window) of historical stock prices of 2 years. Are there any problems (like autocorrelation) when I want to backtest the VaR (Value-at-Risk) model?
156 views

Dependence between Credit Default Risk and Credit Spread Risk

I am trying to understand the difference and similarities between Credit Spread Risk and Credit Default Risk. Here is brief (and not all too precise) definition. Credit Spread Risk: Losses due to ...
49 views

Martingale corrections to historical Value at Risk?

I am looking for a bit of advice. I have recently used to a new firm, which uses Value at Risk in a manner that is unfamiliar from previous places I have worked that I find less than ideal. Previous, ...
61 views

Portfolio VaR using a gaussian copula

I have a portfolio consisting of bonds, stocks, fx and property. I'm using Monte Carlo to estimate the VaR of this portfolio. To generate the forward-looking interest rate risk factor scenarios I use ...
65 views

VAR of Long & Short European Call Options

I have over 1000 simulated stock prices for an option that is expiring in 3 months. I have calculated the EU call option payoff of 1000 simulated prices and now I have 1000 simulated payoffs of call. ...
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Longer / Shorter period loss

I am struggling on I think a quite simple issue. Let's take a portfolio of 100 loans. If we assume they are independent, each loan’s default is a Bernoulli with parameter $p=0.01$ over a certain time ...
I understand that portfolio variance is computed through $w'Cw$, where w is the vector of weights, $C$ being the covariance matrix. However, what I don't get is this: why can't this portfolio variance ...