PRMIA 8010 Exam - Topic 1 Question 42 Discussion

Actual exam question for PRMIA's 8010 exam

Question #: 42
Topic #: 1

If EV be the expected value of a firm's assets in a year, and DP be the 'default point' per the KMV approach to credit risk, and be the standard deviation of future asset returns, then the distance-to-default is given by:

AOption A

BOption B

COption C

DOption D

Show Suggested Answer

Suggested Answer: B

Extreme value theory focuses on the extreme and rare events, and in the case of VaR calculations, it is focused on the right tail of the loss distribution. In very simple and non-technical terms, EVT says the following:

1. Pull a number of large iid random samples from the population,

2. For each sample, find the maximum,

3. Then the distribution of these maximum values will follow a Generalized Extreme Value distribution.

(In some ways, it is parallel to the central limit theorem which says that the the mean of a large number of random samples pulled from any population follows a normal distribution, regardless of the distribution of the underlying population.)

Generalized Extreme Value (GEV) distributions have three parameters: (shape parameter), (location parameter) and (scale parameter). Based upon the value of , a GEV distribution may either be a Frechet, Weibull or a Gumbel. These are the only three types of extreme value distributions.

by Fletcher at Mar 06, 2024, 03:28 PM

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Shawn

10 months ago

Isn't it surprising how complex this stuff can get?

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Elke

10 months ago

Totally agree, A seems off to me.

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Alecia

11 months ago

Wait, are we sure about the formulas here?

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Phil

11 months ago

I think Option C looks right.

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Ivory

11 months ago

Distance-to-default is crucial for assessing credit risk!

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Ashlee

11 months ago

I vaguely recall that the distance-to-default is crucial for assessing credit risk, but I can't remember which option corresponds to that definition.

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Johnna

12 months ago

I feel like I might be mixing up the formulas. Was it the expected value divided by the standard deviation or the other way around?

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Nakisha

12 months ago

I think option C looks familiar; it might be similar to a practice question we did in class about asset returns and default points.

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Dan

12 months ago

I remember studying the KMV model, but I'm not entirely sure how to calculate the distance-to-default correctly.

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Helene

12 months ago

(Thoughtful) The key is understanding the KMV approach to credit risk. Once I refresh my memory on that, I should be able to identify the correct formula.

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Tandra

12 months ago

(Confident) This is straightforward. The distance-to-default formula is clearly option B.

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Scarlet

12 months ago

Okay, I think I understand the concepts here. Let me work through the math step-by-step to determine the right answer.

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Sonia

12 months ago

Hmm, this looks like a tricky one. I'll need to carefully review the formulas and definitions to figure out which option is correct.

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Abel

1 year ago

I'm a bit confused by the different variables and how they relate to each other. I'll need to re-read the question and think it through.

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Belen

1 year ago

Ah, I think this is about the triple bottom line theory! It looks at a company's performance across those three areas.

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Earlean

1 year ago

Hmm, this looks like a tricky one. I'll need to carefully read through the code and options to figure out the right approach.

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Gail

1 year ago

Okay, I've got it! The auditor is not obligated to search for all significant deficiencies, but they do need to understand the internal control environment and accounting system, as well as determine if the relevant control activities have been implemented. I'm feeling good about this one.

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