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PRMIA 8010 Exam - Topic 1 Question 26 Discussion

Actual exam question for PRMIA's 8010 exam
Question #: 26
Topic #: 1
[All 8010 Questions]

A zero coupon corporate bond maturing in an year has a probability of default of 5% and yields 12%. The recovery rate is zero. What is the risk free rate?

Show Suggested Answer Hide 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.


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Aron
4 months ago
I disagree, I feel like it should be higher than that.
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Eleni
4 months ago
Wait, how can the recovery rate be zero? That seems off.
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Reita
4 months ago
Definitely going with option A, makes sense!
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Adelina
4 months ago
I think the risk-free rate is closer to 5.26%.
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Glory
4 months ago
The yield is 12% with a 5% default risk.
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Jacquelyne
5 months ago
I feel like I’ve seen similar questions before, but I’m confused about how the recovery rate impacts the yield. Does it even matter since it's zero?
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Amie
5 months ago
I think the risk-free rate is derived from the yield minus the default risk premium. I just hope I remember the right way to calculate it!
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Barrie
5 months ago
This question feels familiar! I think we might need to adjust the yield for the default risk, but I can't recall the exact formula we practiced.
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Gail
5 months ago
I remember something about using the yield and default probability to find the risk-free rate, but I'm not entirely sure how to set it up.
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Leslee
5 months ago
Hmm, I'm a little unsure about this one. I know we covered these concepts in class, but I'm having trouble remembering the differences between them.
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Royce
5 months ago
Hmm, this one has me a bit stumped. I know I need to find two widgets that cover both threat/security and device health, but I'm not 100% sure which ones to choose. I think Appliance Status and Intrusion Events might be the right answer, but I'll have to carefully consider the other options as well.
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Rebecka
5 months ago
Okay, let me think this through. I'm pretty sure I need to delete the old name and then type the new one, so I'll go with option D.
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Elvera
10 months ago
Wait, is the risk-free rate the secret sauce that makes this whole problem work? Gotta get this right or it's back to the kitchen for me.
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Merlyn
8 months ago
C) 5.00%
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Selene
8 months ago
B) 7.00%
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Erick
9 months ago
A) 5.26%
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Lavonne
10 months ago
Alright, time to break out the financial calculators and get this risk-free rate figured out. No pressure, right?
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Christiane
9 months ago
C) 5.00%
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Lenna
9 months ago
B) 7.00%
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Letha
10 months ago
A) 5.26%
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Rickie
10 months ago
But the default probability and yield are given, so we can calculate the risk free rate using the formula.
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Dan
10 months ago
12% yield with a 5% default probability? This bond must be a roller coaster ride!
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Johna
10 months ago
B) 7.00%
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Desmond
10 months ago
A) 5.26%
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Dong
10 months ago
I disagree, I believe it's 7.00%.
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Marsha
11 months ago
Hmm, zero recovery rate? Looks like the bond issuer is going to need a miracle to stay afloat.
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Blondell
10 months ago
Definitely, it's a tough situation for the bond issuer.
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Jamal
10 months ago
I agree, option A seems like the right choice.
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Hyun
10 months ago
I think the risk free rate is 5.26%.
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Laurel
10 months ago
That recovery rate is rough, they must be in trouble.
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Rickie
11 months ago
I think the risk free rate is 5.26%.
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