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Answer: callable bond
## Explanation When interest rates fall significantly, the effective duration behavior differs among bond types: - **Callable bonds**: When interest rates fall, the issuer is more likely to call the bond and refinance at lower rates. This creates a price ceiling (the call price), which reduces the bond's price appreciation potential. As a result, the effective duration decreases significantly because the bond becomes less sensitive to further interest rate declines. - **Putable bonds**: When interest rates fall, the put option becomes less valuable (since investors would prefer to keep the bond with its higher coupon). The effective duration typically increases as the bond behaves more like a straight bond. - **Option-free bonds**: These have stable effective duration regardless of interest rate movements, as there are no embedded options to affect price sensitivity. The scenario described - where effective duration decreases significantly when interest rates fall - is characteristic of callable bonds due to the negative convexity created by the call option. Therefore, the bond is most likely a callable bond.
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