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CMA Final · Risk Management in Banking and Insurance · Interest Rate Risk Management

A bank's asset portfolio has market value ₹1,000 crore and modified duration 4 years. Liabilities have market value ₹900 crore and modified duration 3 years. If all yields rise by 1 percentage point, the approximate change in the market value of equity is:

Assets lose about ₹40 crore (1,000 × 4 × 1%) and liabilities fall by about ₹27 crore (900 × 3 × 1%). The net effect on equity value is a fall of ₹13 crore, because the asset decline exceeds the liability decline.

  1. A-₹13 croreCorrect
  2. B-₹40 crore
  3. C+₹13 crore
  4. D-₹67 crore

Explanation

Asset value falls by 1000 × 4 × 1% = ₹40 crore. Liability value falls by 900 × 3 × 1% = ₹27 crore. Equity change = -40 - (-27) = -₹13 crore. Ignoring the liability offset gives -₹40 crore, and the positive sign is wrong because assets have the larger duration-weighted value.

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