Credit Risk: Estimating Default Probabilities

8 important questions on Credit Risk: Estimating Default Probabilities

Name two main areas of application of (credit) risk modeling. Which is static and which dynamic?

1. CR management models for: (static)

  • the determination of the loss distribution of a loan or bond portfolio oer a fixed time horizon (e.g. 1 yr)
  • the computation of (loan) loss-distributuin-based risk measures.
  • the optimal allocation of risk-capital.

2. Analysis of credit securities. (dynamic)

 

Challenges in modeling CR (1/4). Explain the issue of lack of public information and data.

Scarce inormation about the credit quality of corporations and, often, individuals. There's few data for calibration.

qa-answernotes-contentChallenges in modeling CR (2/4). Explain the issue of informational asymmetries.

Te management of a firm has more information about the firm itself than every other bank or fin. institution, which creates mistrust and volatility on the market.

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qa-answernotes-contentChallenges in modeling CR (3/4). Explain the issue of a skewed (loss) distribution.

The world is not Gaussian. Loss distributions are often highly skewed and possess relatively heavy upper tails. There's need for EVT in determining risk capital.

qa-answernotes-contentChallenges in modeling CR (4/4). Explain the issue of dependence.

Companies may be linked by systemic risk, commercial relations or other forms of dependence. This may cause the distribution of defaults to ' spread' and we see a larger number of defaults with a higher probability. The more defaults are dependent, the more the loss distributions shifts to the left and shows a fatter right tail.

Why is the gamma exposure minor in comparison to the delta exposure?

Because most financial institutions have a delta neutral portfolio.

What is a principle component? (PCA)

A PCA is a dimension reducing technique from statistics

When we don't want to make the normality assumption, what to do?

We can choose one out of the three other models, like: Historical simulation, EVT or the Power Law,

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