Which of the following instruments has the greatest change in price for a 1% change in the general level of interest rates?
30-year zero coupon bond experiences the greatest change in price for a 1% change in interest rates.
Zero coupon bonds, such as the 30-year zero coupon bond, are particularly sensitive to interest rate changes because they do not pay periodic interest; their entire value is realized at maturity. This structure causes their price to fluctuate significantly as interest rates change, resulting in a higher duration and greater price volatility compared to other instruments.
The 3-month Treasury bill is a short-term instrument that matures in a very short period. Because of its brief duration, it is less sensitive to changes in interest rates compared to longer-term securities. As a result, the price of a Treasury bill will experience smaller fluctuations when interest rates rise or fall.
While the 10-year Treasury note does experience price changes due to interest rate fluctuations, its sensitivity is not as pronounced as that of a 30-year zero coupon bond. The note pays periodic interest, which reduces its overall duration and consequently its price volatility in response to interest rate alterations.
Callable municipal bonds can be redeemed by the issuer before maturity, which adds an element of uncertainty regarding cash flows. This feature generally reduces the bond's sensitivity to interest rate changes compared to zero coupon bonds, as the potential for early redemption limits their price volatility.
In summary, the 30-year zero coupon bond has the highest sensitivity to interest rate changes due to its structure of no interim cash flows and a long maturity period. This makes it the instrument with the greatest price change for a 1% change in interest rates, contrasting with the lower volatility seen in shorter-term and callable bonds. Understanding these dynamics is crucial for investors managing interest rate risk in their portfolios.
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