GARP 2016-FRR - Financial Risk and Regulation (FRR) Series

Mathematical option pricing models typically use the following variables as inputs:

I. Implicit parameter estimate based on observed market prices: These are derived from market data to infer parameters such as volatility.

II. Estimates of sensitivity of option prices to parameter changes: These include Greeks like Delta, Gamma, Theta, etc., which measure the sensitivity of the option’s price to various factors.

III. Theoretical option determination based on assumptions: This involves theoretical calculations based on models like Black-Scholes, which use assumptions about market behavior and asset dynamics.

Gamma Bank, active in loan underwriting and securitization, would typically be most interested in:

Expected Loss:The anticipated average loss from defaults in the credit portfolio.

Unexpected Loss:The potential variability or deviation from the expected loss, critical for understanding the risk beyond average expectations.

Duration and factor sensitivities are more relevant to market risk rather than direct credit risk.

References

Verified information from the document ​

To determine the bank's expected loss, we need to calculate the expected loss given default (LGD) and then use the annual expected default rate to find the total expected loss.

Loan Amount (Exposure at Default, EAD):$100,000

Collateral:$55,000

Net Exposure (EAD - Collateral):$100,000 - $55,000 = $45,000

Loss Given Default (LGD):50% of Net Exposure𝐿𝐺𝐷=50%×$45,000=$22,500LGD=50%×$45,000=$22,500

Annual Expected Default Rate:2%

Expected Loss:Annual Expected Default Rate × LGDExpected Loss=2%×$22,500=0.02×22,500=$450Expected Loss=2%×$22,500=0.02×22,500=$450

Hence, the expected loss due to default is $450, but we need to find the total expected loss including the interest, which is typically considered the exposure part.

Total expected loss is primarily focusing on the loan risk and the direct calculation of LGD × Default Rate.

Credit derivatives historically carry several specific types of risk:

Documentation Risk:The risk arising from the complexity and potential ambiguity in the legal documentation of credit derivative contracts.

Definition of Credit Events:The risk associated with the precise definition of what constitutes a credit event, such as a default, which can be subject to interpretation and affect payouts.

Occurrence of Credit Events:The actual risk that a credit event will occur, triggering the derivative contract.

Enterprise risk is a broader category that typically includes all risks faced by an enterprise, not just those associated with credit derivatives.

References

Verified information on credit derivative risks from the document ​

While diversifying a bank’s credit portfolio helps spread out credit risks, the goal in debt management is to minimize the impact of defaults, and default risk cannot be fully hedged away, meaning it will always exist for the credit holder or the person insuring against it.

However, it is incorrect to state that the value of loan exposure changes similarly to equity investments. Loan exposures are generally less volatile compared to equities, and their value is typically more stable.

Interest rates on bonds are typically stated on an annualized rate (I).

Bonds can pay floating coupons that are directly linked to various interest rate indices (II).

Convertible bonds have an element of prepayment risk (III).

Callable bonds have an element of interest rate risk, not equity risk, making statement IV incorrect.

Counterparty credit risk refers to the risk that the counterparty to a financial contract will default before the final settlement of the contract's cash flows, resulting in a financial loss. This is correctly stated in option A.

The exposure at default (EAD) is indeed variable due to fluctuations in the underlying valuations, such as swaps, as mentioned in option B.

The EAD can be negatively correlated with the probability of default (PD) because as the credit quality of a counterparty deteriorates, their exposure may also decline, correctly stated in option C.

However, dynamic collateral provisions are typically designed to reduce counterparty risk by adjusting collateral requirements based on changes in exposure and credit quality, not to increase it. Therefore, option D is incorrect.

Counterparty credit risk assessment differs from traditional credit risk assessment primarily in the features of exposures being netted, the possibility of negative correlation between exposure at default and the probability of default, and the two-way nature of credit exposure. Collateral arrangements in counterparty credit risk management are typically dynamic, not static, as they can change based on market conditions and the credit quality of the counterparty. Therefore, the feature that does not differ is that collateral arrangements are typically static in nature.

In the United States, foreign exchange derivative transactions typically occur between a few large internationally active banks. These banks are major players in the foreign exchange markets and often act as intermediaries, providing liquidity and managing risks for themselves and their clients. The concentration of these transactions among a few large banks leads to a concentration of risks within these institutions.

A country's creditworthiness is typically influenced by various performance statistics that indicate the overall health of its economy. Here’s a detailed analysis of each option:

A. Low unemployment:Low unemployment indicates a healthy labor market, suggesting economic stability and growth, which positively impacts creditworthiness.

B. Low inflation:Low inflation reflects price stability, which helps maintain the purchasing power of the currency and economic stability, thus benefiting creditworthiness.

C. High degrees of investment:High levels of investment indicate confidence in the economy and potential for future growth, positively affecting creditworthiness.

D. Low degrees of savings:Low savings rates can indicate potential issues with financial stability, as it suggests that households and the economy might lack a financial buffer against economic shocks. This can negatively impact creditworthiness, making it the exception in this list.