Week 1 Flashcards

1
Q

What is the idea of a conditional mean? What is the conditional mean of a basic linear regression?

A
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2
Q

What is a white noise sequence?

A
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3
Q

What is an AR(1) model?

Give the definition

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4
Q

What is the conditional mean and conditional distribution of an AR(1) model?

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5
Q
  1. When is a time series weakly stationary?
  2. When is an AR(1) model weakly stationary?
  3. What does this mean?
A
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6
Q

What is a random walk?

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7
Q

What needs to be shown to claim that stock prices behave like random walks?

A
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8
Q
  1. What are log returns?
  2. What are some of their appealing properties?
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9
Q

Why can we not predict (log) returns?

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10
Q
  1. What do we try to predict in Financial Econometrics?
  2. How do we predict it?
A

Volalility

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11
Q

What is the definition of an ARCH(1) model?

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12
Q

What is the observation equation and the updating equation of a ARCH(1) model?

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13
Q

What is the

of an ARCH(1) model (though should hold for all similar models)

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14
Q
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15
Q

Show the derivation of the conditional mean and conditional variance of an ARCH(1) model.

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16
Q

How can the conditional distribution of an ARCH(1) model be used?

17
Q

Name the 6 properties from a model of which the log-returns are generated by an ARCH(1) model.

18
Q

Show that the returns from an ARCH(1) model have unconditional mean 0.

19
Q

Show that the returns from an ARCH(1) model are uncorrelated.

20
Q

Show how an ARCH(1) model can be refactored in an AR(1) model.

21
Q

Derive the unconditional variance of an ARCH(1) model.

22
Q
  1. What is the definition of kurtosis?
  2. When does a distribution have “fat tails”?
23
Q

Show that an ARCH(1) model has “fat tails”.

24
Q

What is the definition of an ARCH(q) model?

25
How can an ARCH(q) model be rewritten into an AR(q) model?
26
What is the unconditional variance of an ARCH(q) model?
27
Why do we (usually) use GARCH models over ARCH models?
28
1. What is the definition of a GARCH(1,1) model? 2. What does GARCH stand for?
29
What are the properties of a GARCH(1,1) model? | Name 5
30
What is the ARMA represensitation of a GARCH model?
31
What is the unconditional variance of a GARCH(1,1) model?
32
Why is data generated by a GARCH(1,1) model stationary?
33
How can a GARCH(1,1) model be rewriten in an ARCH(∞) model?
34
What is the definition of a GARCH(p,q) model?
35
What are the stochastic properties of a GARCH(p,q) model? | There are 5
36
What is the ARMA reprensitation of a GARCH(p,q) model?
37
When are GARCH(p,q) results stationary?