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

A bank holds a bond with modified duration of 4.5 and market value of Rs 200 crore. If yields rise by 50 basis points, the approximate change in the bond's value, ignoring convexity, is:

The bond value falls by about Rs 4.5 crore. Price change equals minus modified duration times yield change times value, which is 4.5 x 0.5% x Rs 200 crore. Rising yields lower bond prices, and the 50 basis point shift must be used rather than one percent.

  1. AIncrease of Rs 4.5 crore
  2. BDecrease of Rs 9.0 crore
  3. CDecrease of Rs 4.5 croreCorrect
  4. DDecrease of Rs 45.0 crore

Explanation

Change = -ModDuration x change in yield x value = -4.5 x 0.005 x 200 = -Rs 4.5 crore. An increase ignores the inverse price-yield relationship. Rs 9 crore results from using a 100 bp shift instead of 50 bp.

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