Answer: Negative convexity

## Explanation This question involves callable bonds and their behavior when yields decrease sharply. ### Key Factors: - **Callable bonds**: XYZ bonds are callable at par value and currently trade close to par - **Current position**: Bonds are trading near their call price - **Scenario**: Yields on comparable bonds decrease sharply ### Analysis: 1. **Callable Bond Characteristics**: When yields decrease significantly, callable bonds approach their call price and exhibit **negative convexity** 2. **Why Negative Convexity?**: - As yields fall, the bond's price approaches the call price - The issuer is likely to call the bond when it becomes advantageous - This creates a price ceiling at the call price - The bond's price appreciation is limited compared to non-callable bonds 3. **Duration Behavior**: - Modified duration would decrease as yields fall (opposite of option B) - Effective duration would also decrease as the bond approaches call (opposite of option C) 4. **Convexity Impact**: - Positive convexity would mean unlimited price appreciation potential - Negative convexity means price appreciation is capped at the call price - This is exactly what happens with callable bonds trading near par when yields fall ### Conclusion: The XYZ bonds will most likely exhibit **negative convexity** because as yields decrease sharply, the bonds approach their call price, limiting further price appreciation and creating the characteristic negative convexity profile of callable bonds trading near par.

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