GARP 2016-FRR Actual Questions

ThetaBank's default risk assessment involves calculating the joint probability of default for the two mortgage companies and comparing it to the independent risk model.

Individual Exposure at Default (EAD):$20 million for each mortgage company.

Loss Given Default (LGD):100%

Probability of Default (PD):10% for each mortgage company.

Joint Probability of Default:5%

For independent risks, the joint probability of default for two independent events is the product of their individual probabilities:

\text{Joint Probability (Independent)} = PD_1 \times PD_2 = 0.10 \times 0.10 = 0.01 \text{ (or 1%)}

Given that ThetaBank predicts the joint probability at 5%, the independent model would have underestimated the actual probability by:

5%−1%=4%5%−1%=4%

Therefore, the underestimated probability is:

4%−2%=2%4%−2%=2%

References

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Asian options are path-dependent options, which means their payoff depends on the average price of the underlying asset over a certain period, rather than just the price at maturity. This characteristic makes them path-dependent because the path taken by the asset's price during the life of the option affects the payoff, unlike path-independent options which only depend on the final price at maturity.

From the bank's point of view, repricing the retail debt portfolio introduces risks primarily related to fluctuations in interest rates and bank spreads. When interest rates change, the cost of funds for the bank can fluctuate, which affects the interest margins (bank spreads). Additionally, the repricing of existing debt to match current market rates introduces direct exposure to interest rate volatility. Therefore, the risks associated with fluctuations in these areas are III. Interest rates and IV. Bank spreads.

Market risk typically involves risks that affect the entire market or market segment. These include:

Unexpected changes in the term structure of interest rates:

This affects the prices of bonds and other interest-rate-sensitive securities.

The JPY depreciating against the USD:

This is an example of foreign exchange risk, which is a type of market risk.

Changes in the oil price due to the discovery of new oil fields:

This affects commodities markets and can have broader economic implications.

Increased default rate on commercial mortgages due to higher interest rates:

This is more of a credit risk than market risk. It specifically relates to the creditworthiness of borrowers rather than the overall market movements.

Thus, the increased default rate on commercial mortgages due to higher interest rates is not a typical source of market risk.

References

Source: How Finance Works​​