OLS

OLS

OLS

David Jaggi

David Jaggi

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Cartes-fiches 89
Langue English
Catégorie Mathématiques
Niveau Université
Crée / Actualisé 16.11.2017 / 17.11.2017
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What is the theory behind the GARCH-in-mean?

It suggests that an asset with a higher perceived risk would pay a higher return on average. In other words the mean return would be related to the variance of the return.

What is the theory behind the EGARCH?

Negative surprises seem ti increase volatility more than positive surprises.

What measures the Value at risk?

VaR measures the probability that a portfolio will face ist worse outcome.

For what can vector autotregression be used?

The models can be used to estimate the dynamic relationship amongst variables; These models are used heavily for short-term forecasting.

What is VAR?

Each variable depends on the lags of all variables included in the VAR; It is stationary if ist mean and variance are constant over time.

How is the order of VAR chosen?

It is chosen such that the value of AIC and SIC are minimised; AIC tends to favour model with longer lags and SIC returns the mosta parsimonious model as it penalises extra estimated parameters more heavily.

What is granger causality?

If the lagged values of one variable have no explanatory power for all variables in the VAR, then this variable is said to be weakly exogenous; Granger causality can occur because a variable left out of the VAR is correlated with the variables included. So results should be interpreted with caution.

For what are state space models useful?

Can be used to measure how relationships between variables changes over time; Used to estimate stochastic volatility models that are central to many financial theories; Decompose time-series into a cycle and trend component; used to determine if a common component is driving a group of time-series; Estimate missing observations.

What does Kalman Smoothing?

Provides estimates of the state given current information; one may be interested in estimating the state vectir at date t based on information contained in the entire dataset.