Exam 8010 Topic 1 Question 191 Discussion
Actual exam question for PRMIA's 8010 exam
Question #: 191
Topic #: 1
Question #: 191
Topic #: 1
Which of the following statements are true:
I. The sum of unexpected losses for individual loans in a portfolio is equal to the total unexpected loss for the portfolio.
II. The sum of unexpected losses for individual loans in a portfolio is less than the total unexpected loss for the portfolio.
III. The sum of unexpected losses forindividual loans in a portfolio is greater than the total unexpected loss for the portfolio.
IV. The unexpected loss for the portfolio is driven by the unexpected losses of the individual loans in the portfolio and the default correlation between these loans.
I. The sum of unexpected losses for individual loans in a portfolio is equal to the total unexpected loss for the portfolio.
II. The sum of unexpected losses for individual loans in a portfolio is less than the total unexpected loss for the portfolio.
III. The sum of unexpected losses forindividual loans in a portfolio is greater than the total unexpected loss for the portfolio.
IV. The unexpected loss for the portfolio is driven by the unexpected losses of the individual loans in the portfolio and the default correlation between these loans.
Suggested Answer: C Vote an answer
Explanation
Unexpected losses (UEL) for individual loans in a portfolio will always sum to greater than the total unexpected loss for the portfolio (unless all the loans are correlatedin such a way that they default together).
This is akin to the 'diversification effect' in market risk, in other words, not all the obligors would default together. So the UEL for the portfolio will always be less than the sum of the UELs for individual loans.
Therefore statement III is true.This 'diversification effect' will be affected by the default correlations between the obligors, in cases where the probability of various obligors defaulting together is low, the UEL for the portfolio would bemuch less than the UEL for the individual loans. Hence statement IV is true.I and II are false for the reasons explained above.
Unexpected losses (UEL) for individual loans in a portfolio will always sum to greater than the total unexpected loss for the portfolio (unless all the loans are correlatedin such a way that they default together).
This is akin to the 'diversification effect' in market risk, in other words, not all the obligors would default together. So the UEL for the portfolio will always be less than the sum of the UELs for individual loans.
Therefore statement III is true.This 'diversification effect' will be affected by the default correlations between the obligors, in cases where the probability of various obligors defaulting together is low, the UEL for the portfolio would bemuch less than the UEL for the individual loans. Hence statement IV is true.I and II are false for the reasons explained above.
by Penny at May 15, 2026, 03:52 AM
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