Questions tagged [garch]
Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model is used for time series in which the conditional variance is time-varying and autocorrelated. The conditional variance is a linear combination of lagged conditional variances and lagged squared errors. The conditional variance equation in GARCH models is deterministic, in contrast to Stochastic Volatility (SV) models.
413 questions
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Is GARCH assumption on constant drift wrong in log space?
GARCH assumes constant drift $\mu$ - this imply $E[e^r]$ won't be constant and jump wildly. And it contradicts the reality, for stock prices $E[S_{t}/S_{t-1}]=E[e^r]$ doesn't jump with each time step. ...
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GARCH, Infinite Variance of Variance
Taleb criticised GARCH, saying that for daily stock returns with tail exponent ~3 the 4th moment doesn't exist and so Var of Var doesn't exist. The whole concept of conditional variance breaks apart. ...
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Extension of SkewStudentT with different left and right tail exponents?
I found that daily stock prices have different left ~3 and right ~3.7 tail exponents. The $\text{SkewStudentT}(\mu,\sigma,\nu,\lambda)$ (Hansen and other variants) can't model that, it uses same tail ...
2 votes
1 answer
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Adapting VaR model in a dynamic trading environment
I study FRM part II (P2.T5.25.5 Conceptual Soundness and Sensitivity Analysis in VaR Models) and encounter this question in Bionic Turtle, please help. Would really appreciate if you can provide with ...
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How Random Walk with Weighted Sampling different from GARCH/ARIMA?
Lets predict stock price distribution 1 year ahead using historical data. Price path in between not needed, only on the price on the final day. It's assumed that stock price may be affected by a) ...
3 votes
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COGARCH (continuous GARCH) model definition
In 2004 in their paper Kluppelberg, Lindner and Maller proposed a continuous vesrion of GARCH(1,1) model (COGARCH). Below is the derivation of model formulae as presented in the original paper: ...
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GARCH parameters generating simulations that have a lot higher standard deviation's than the historical standard deviation
Below is code using the rugarch package for the daily returns of the NDX, XAU and XAGm. The issue is that when I simulate the data 200 steps ahead for 50k sims, calculate the standard deviation of the ...
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modelling and forecasting volatility with python's ARCH package
I was reading this link on volatility prediction. It first defined realized volatility as below, so my understanding is that realized volatility is equal to $\sigma$: ...
1 vote
1 answer
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Is GARCH (and or it's variations) actually used in risk-modelling for expected-shortfall?
I understand there are limitations and practicality issues with GARCH, but does any company actually use it in their risk-management system when calculating their expected-shortfalls? Even as a basis ...
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Volatility forecast, GARCH and/or HAR?
I am comparing 2 different sentiment datasets in predicting volatility, I would have 2 questions regarding this. 1, Does it make sense to use both GARCH and HAR models for this research to cover a ...
1 vote
1 answer
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How to compute standardized residuals in GARCH-MIDAS model?
I'm trying to compute the standardized residuals in GARCH-MIDAS model but I think that the calculation is not similar to GARCH standard models in R. As reference I have only Engle's (2012) paper in ...
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1 answer
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Does it makes sense to use GARCH to measure mean reversion?
I am doing my final paper at my bachelor. For this, I am testing mean reversion in an asset. I found this paper (Mean reversion in international markets: evidence from G.A.R.C.H. and half-life ...
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Continuation of GARCH(1,1) without data
Please be easy on me since quant finance is not my strength. I have the following Python code that models volatility under GARCH(1,1) for the S&P500: ...
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How can I apply the GARCH-MIDAS model to the FTSE MIB using the CPU as an explanatory variable?
I am trying to understand how climate risk impacts the financial market and I am calculating VaR and ES. I am applying the GARCH-MIDAS model to the FTSE MIB, using the Climate Policy Uncertainty Index ...
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Is there any way to implement GARCH-MIDAS model in R for multivariate estimation?
I'm writing a research paper in economics, and would like to research the impact of both financial and macroeconomic variables on the NIFTY50 index. My plan was to use a GARCH model. I've stumbled ...