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The correct answer is C

Extreme losses appear to occur with a higher frequency than indicated by a normal distribution. EVT has been shown to generate more realistic probability estimates for extreme losses than a normal distribution.

 

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11、Under the Extreme Value Theorem (EVT), which of the following is (are) TRUE regarding the modeling of market risk?

I.           The three key resulting distributions are: Lognormal, Weibull, and Pareto.

II.         EVT permits the analysis of maxima distributions.

III.        EVT does nto account for "heavy" tails observed in the market place.

IV.      EVT is dependent upon the normal distribution.

A) I and IV only.

B) None of these.

C) I and II only.

D) I and III only.

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8、Under the Extreme Value Theorem (EVT), which of the following is (are) TRUE regarding the modeling of market risk?

I.           The three key resulting distributions are: Gumbel, Weibull, and Frechet.

II.         EVT permits the analysis of maxima and minima distributions.

III.        EVT is does not account for “heavy” tails observed in the market place.

IV.      EVT is dependent upon the normal distribution.

A) I and III only.

B) I only.

C) None of these.

D) I and II only.

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8、Under the Extreme Value Theorem (EVT), which of the following is (are) TRUE regarding the modeling of market risk?

I.           The three key resulting distributions are: Gumbel, Weibull, and Frechet.

II.         EVT permits the analysis of maxima and minima distributions.

III.        EVT is does not account for “heavy” tails observed in the market place.

IV.      EVT is dependent upon the normal distribution.

A) I and III only.

B) I only.

C) None of these.

D) I and II only.

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The correct answer is D

Statement III is incorrect because EVT allows for “heavy” tails as we see in the market place. Statement IV is incorrect because EVT is not dependent upon the normal distribution.

 

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9、Which of the following statements is (are) FALSE concerning extreme value distributions?

Using block maxima, local maxima may not resemble extreme observations.

Small tails reduce the variance of the estimator in cluster analysis.

The two classes of EVT models are block maxima and generalized extreme value distribution.

A) I and II only.

B) I and III only.

C) I, II, and III.

D) II and III only.

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7、All of the following are extreme value theory models EXCEPT:

A) block Maxima. 

B) semi-parametric peaks-over-threshold. 

C) generalized Pareto distribution. 

D) stressed VAR. 

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The correct answer is D

Stressed VAR is not an EVT model.

 

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The correct answer is A

The block maxima approach determines the maxima for mutually exclusive, equal sized, independently distributed subsamples of data.


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6、Which of the following statements is TRUE?

A) The semi-parametric peaks-over-threshold utilizes the generalized Pareto distribution. 

B) Block maxima are a semi-parametric peaks-over-threshold model. 

C) Tail events are more likely under the generalized Pareto distribution relative to a normal distribution. 

D) The generalized Pareto distribution provides a non-linear estimate of the tail. 

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