Gamma Bank provides a $100,000 loan to Big Bath retail stores at 5% interest rate (paid annually). The loan also has an annual expected default rate of 2%, and loss given default at 50%. In this case, what will the bank's expected loss be? What is the expected loss of this loan?
Correct Answer: C
The same approach as question 29 is applied here but focuses on the straightforward default calculation without collateral consideration:
* Loan Amount (EAD): $100,000
* Loss Given Default (LGD): 50% of EAD =50%×$100,000=$50,000LGD=50%×$100,000=$50,000
* Annual Expected Default Rate: 2%
* Expected Loss: Annual Expected Default Rate × LGD
Expected Loss=2%×$50,000=0.02×50,000=$1,000Expected Loss=2%×$50,000=0.02×50,000=$1,000 Hence, the expected loss due to default is $1,000 without considering the collateral. If considering the collateral explicitly, it would be slightly different as the collateral reduces the direct exposure.