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Answer: more than 200 basis points.
## Explanation This question tests the concept of **convexity** in bond pricing. For option-free bonds, the price-yield relationship is convex, not linear. This means: 1. **Price increases are greater than price decreases** for equal changes in yield (in absolute terms) 2. **The price-yield curve is curved downward**, creating a convex shape Given the information: - When yield decreases by 200 bps → Price increases by 5% - When price decreases by 5% → Yield increases by ??? Because of convexity: - For a given price decrease (5%), the required yield increase will be **greater** than the yield decrease that caused an equal price increase - This is because the price-yield relationship is steeper on the downside (when yields rise) than on the upside (when yields fall) **Mathematical reasoning:** The convexity effect means that for equal absolute changes in yield, the price increase (when yields fall) is greater than the price decrease (when yields rise). Conversely, for equal absolute changes in price, the yield increase (when prices fall) must be greater than the yield decrease (when prices rise). Therefore, if a 200 bps yield decrease causes a 5% price increase, then a 5% price decrease will require **more than 200 bps** of yield increase. **Answer: C (more than 200 basis points)**
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The price of an option-free bond increases by 5% when the yield to maturity decreases by 200 basis points. If the price of this bond decreases by 5%, the yield to maturity most likely increases by:
A
less than 200 basis points.
B
200 basis points.
C
more than 200 basis points.