CMA Final · Risk Management in Banking and Insurance · Credit Risk Management
A bank has a term loan with EAD of Rs 80 lakh, one-year PD of 3% and LGD of 40%. What is the expected loss on this loan?
Expected loss is 3% × 40% × Rs 80 lakh, which equals Rs 0.96 lakh. The loan's default probability and the share lost on default are both applied to the exposure. Ignoring LGD would wrongly give Rs 2.40 lakh.
- ARs 0.96 lakhCorrect
- BRs 2.40 lakh
- CRs 0.32 lakh
- DRs 9.60 lakh
Explanation
EL = 0.03 × 0.40 × 80 lakh = 0.012 × 80 = Rs 0.96 lakh. Rs 2.40 lakh ignores LGD (PD × EAD). Rs 0.32 lakh uses LGD × EAD × 1% mis-scaling, i.e. a misplaced decimal on PD. Rs 9.60 lakh is a decimal-place error.
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