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CMA Final · Risk Management in Banking and Insurance · Credit Risk Management

A bank's loan portfolio has an exposure of ₹200 crore to a borrower with PD of 3%, LGD of 45%, and a guarantee covering 30% of the exposure that is fully effective and carries zero loss. Treating the guarantee as reducing the loss-bearing exposure (the guaranteed part has no loss), the expected loss on the facility is:

With a fully effective guarantee on 30%, only ₹140 crore bears loss. Expected loss is 3% × 45% × ₹140 crore, which equals ₹1.89 crore. Using the whole ₹200 crore would overstate it at ₹2.70 crore, ignoring the guarantee.

  1. A₹2.70 crore
  2. B₹1.89 croreCorrect
  3. C₹0.81 crore
  4. D₹4.05 crore

Explanation

Unguaranteed exposure = 200 × 70% = ₹140 crore. EL = 0.03 × 0.45 × 140 = ₹1.89 crore. Using the full ₹200 crore gives ₹2.70 crore, which ignores the guarantee; ₹0.81 crore is the loss on only the guaranteed part.

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