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PRMIA 8010 Exam - Topic 1 Question 33 Discussion

Actual exam question for PRMIA's 8010 exam
Question #: 33
Topic #: 1
[All 8010 Questions]

There are two bonds in a portfolio, each with a market value of $50m. The probability of default of the two bonds are 0.03 and 0.08 respectively, over a one year horizon. If the probability of the two bonds defaulting simultaneously is 1.4%, what is the default correlation between the two?

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Suggested Answer: D

The change in the price of a security that follows a Weiner process is determined by its standard deviation and expected return. To get the price itself, we need to add this change in price to the current price. Therefore the future price in a Weiner process is determined by all three of current price, expected return and standard deviation.


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Catalina
3 months ago
40% correlation sounds way too high for these numbers!
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Burma
4 months ago
I'm leaning towards option D, seems reasonable.
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Luis
4 months ago
Surprised the simultaneous default is only 1.4%!
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Marg
4 months ago
I think the correlation is definitely not 100%.
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Armanda
4 months ago
The default probabilities are 0.03 and 0.08.
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Renea
4 months ago
I vaguely recall that if the default probabilities are independent, the correlation would be 0%. So maybe option A could be the answer, but I'm not completely confident.
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Noe
5 months ago
I feel like the correlation should be low since the individual default probabilities are relatively low, but the simultaneous default probability is throwing me off a bit.
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Dulce
5 months ago
This question seems similar to one we practiced where we had to find the correlation based on joint probabilities. I think I might lean towards option D, but I need to double-check my calculations.
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Dorcas
5 months ago
I remember we discussed default correlation in class, but I'm not entirely sure how to calculate it from the probabilities given.
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Mari
5 months ago
Okay, let's see. Coordinating related projects, delivering business products, delivering outcomes and benefits, and aligning to strategic objectives - those all sound like typical programme goals to me. I'll have to really analyze these to figure out which one doesn't fit.
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Kristeen
5 months ago
Hmm, this seems like a tricky one. I'll need to carefully review the DataRaptor Load settings and the JSON data being sent from the OmniScript to identify any mismatches or issues.
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Floyd
5 months ago
I'm a bit confused on this one. I know a weighting system is used to evaluate proposals, but I'm not sure if that falls under Selecting sellers or another area. I'll have to review my notes to be sure.
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Jerilyn
10 months ago
Ah, the classic 'default correlation' question. I bet the answer is going to be a bit counterintuitive.
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Candida
10 months ago
Wait, what's the probability of two bonds defaulting simultaneously? That seems like a key piece of information here.
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Beckie
8 months ago
C) 40%
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Tawna
8 months ago
B) 100%
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Shayne
9 months ago
C) 40%
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Jerrod
9 months ago
A) 0%
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Roxane
9 months ago
B) 100%
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Caprice
9 months ago
A) 0%
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Dominga
10 months ago
Alright, time to put on my thinking cap. This might require a bit of creative problem-solving.
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Ashleigh
9 months ago
C) 40%
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Celestina
10 months ago
B) 100%
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Mona
10 months ago
A) 0%
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Sherrell
10 months ago
I feel like I've seen a question like this before. Time to put my finance knowledge to the test!
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Hildegarde
10 months ago
Hmm, the default probabilities and the joint default probability are given, so I should be able to work this out. Let me think it through step-by-step.
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Vallie
10 months ago
This looks like a tricky one. I'll need to brush up on my probability and correlation calculations to tackle this.
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Eura
9 months ago
D) 25%
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Kerry
9 months ago
C) 40%
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Ruthann
10 months ago
B) 100%
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Abel
10 months ago
A) 0%
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Kanisha
11 months ago
But if the probability of default of the two bonds are 0.03 and 0.08, then the default correlation should be 40% according to the formula.
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Sommer
11 months ago
I disagree, I believe the default correlation is 25%.
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Kanisha
11 months ago
I think the default correlation between the two bonds is 40%.
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