NISM Certifications · NISM-Series-XXI-A: Portfolio Management Services (PMS) Distributors · Investing in Fixed Income Securities (NISM XXI-A)
A bond has a modified duration of 4.5. Market yields rise by 50 basis points. The bond is held in a client's portfolio at a market value of Rs 20,00,000. Approximately what is the change in its market value?
The market value falls by approximately Rs 45,000. A modified duration of 4.5 and a 0.50 percentage point rise in yield imply a price drop of about 2.25 percent, which on Rs 20,00,000 equals Rs 45,000.
- ADecrease of Rs 45,000Correct
- BIncrease of Rs 45,000
- CDecrease of Rs 4,50,000
- DDecrease of Rs 22,500
Explanation
Percentage price change = -modified duration x change in yield = -4.5 x 0.50% = -2.25%. Rs 20,00,000 x 2.25% = Rs 45,000 fall. Rs 4,50,000 results from using 5% instead of 0.5%, and Rs 22,500 comes from halving again.
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