
Explanation:
Expected Loss (EL) is calculated using the formula:
EL = Exposure at Default (EAD) × Probability of Default (PD) × Loss Given Default (LGD)
Where:
Calculation: EL = 320,000,000 × 0.20 × 0.60 = USD 38,400,000.
Thus, the expected loss under stressed scenarios is USD 38,400,000. Option D is correct.
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Q.88 A risk manager wants to stress a bank’s USD 320 million real-estate loan portfolio. Although at the moment the average probability of default (PD) for the portfolio is pretty high (11.5%), the bank’s management doesn’t worry about the improvement of the credit quality of the portfolio as the collateral for the loans is a very expensive commercial property that always had high demand. Based on the experience of 2008, the risk manager assumes a sequence of similar negative economic events that would not only increase the PD to 20% of the portfolio but also drastically decrease recovery rates on the loans to 40%. What is the real-estate portfolio’s expected loss in the stressed scenarios?
A
USD 10,800,000
B
USD 14,720,000.
C
USD 25,600,000.
D
USD 38,400,000.