2016-FRR Questions Bank

Kurtosis measures the "tailedness" of the return distribution. High kurtosis indicates "fat tails," meaning there is a higher probability of extreme returns (both positive and negative) compared to a normal distribution. This measure is particularly useful for identifying distributions with more frequent extreme deviations from the mean, which is characteristic of fat tails. Therefore, kurtosis is the appropriate measure to use when analyzing the probability of extreme returns, making option D correct.

The TED spread is the difference between the interest rates on interbank loans and short-term U.S. government debt (T-bills). A decrease in the TED spread suggests that the perceived credit risk in the banking sector has decreased. This is because the lower spread indicates that banks are more confident in lending to each other, reflecting lower default risk on interbank loans. This typically happens in response to improved economic conditions or increased confidence in the banking system's stability.

Option A:Use of benchmarked data reflects similar data collection standards.

Incorrect. Benchmarking ensures that data is collected using similar standards, enhancing comparability and reliability.

Option B:External events are usually not of interest to senior management.

Incorrect. External events provide valuable insights and lessons that are often of significant interest to senior management.

Option C:If the external data is gathered from news sources, it may only reflect events that are interesting to the press.

Verified and correct. Data sourced from news can be biased towards more sensational events, potentially missing out on less newsworthy but equally important incidents.

Option D:They provide a source of data on what operational loss events will occur.

Incorrect. External databases provide historical data that can inform risk assessments but do not predict future events directly.

Comprehensive and Detailed In-Depth Explanation:

The recovery rate is the percentage of the original exposure recovered, adjusted for the time value of money and recovery costs. Here, the exposure at default (EAD) is USD 20 million, the gross recovery after one year is USD 10 million, and the recovery cost is USD 1 million. The recovery discount rate is 10%, reflecting the time value of money over one year.

Step-by-step calculation:

Net Recovery Amount:Gross recovery - Recovery costs = USD 10 million - USD 1 million = USD 9 million.

Present Value of Recovery:Since the recovery occurs after one year, discount the net recovery at 10%:PV = USD 9 million / (1 + 0.10) = USD 9 million / 1.1 ≈ USD 8.1818 million.

Recovery Rate:Divide the present value of the recovery by the original exposure:Recovery Rate = (USD 8.1818 million / USD 20 million) × 100 ≈ 40.91%, which rounds to 41%.

This aligns with Basel II/III definitions of Loss Given Default (LGD = 1 - Recovery Rate) and the discounting approach for recovery cash flows in credit risk models.