NISM Certifications · NISM-Series-X-A: Investment Adviser (Level 1) · Investing in Fixed Income Securities
Ms. Kavita Rao holds a 10-year government bond with a modified duration of 6. If market yields rise by 50 basis points, the approximate change in the bond's price is:
The bond price falls by about 3%. Price change is approximately negative modified duration multiplied by the yield change, so 6 times 0.50% equals 3%, with a negative sign because bond prices fall when yields rise.
- AIncrease of 3%
- BDecrease of 3%Correct
- CDecrease of 0.3%
- DDecrease of 12%
Explanation
Approximate price change = -modified duration x change in yield = -6 x 0.5% = -3%. The sign is negative because prices and yields move inversely. Increase of 3% has the wrong sign, and 12% wrongly treats 50 bp as 2%.
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