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Duration and Convexity
Conroy, Robert M. Technical Note F-1238 / Published August 19, 1998 / 9 pages.
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The price of a bond is a function of the promised payments and the market-required rate of return. Because the promised payments are fixed, bond prices change in response to changes in the market-required rate of return. For investors who hold bonds, the issue of how sensitive a bond's price is to changes in the required rate of return is important. There are four measures of bond-price sensitivity that are commonly used: Simple Maturity, Macaulay Duration (effective maturity), Modified Duration, and Convexity. Each of these measures provides a more exact description of how a bond price changes relative to changes in the required rate of return.




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  • Overview

    The price of a bond is a function of the promised payments and the market-required rate of return. Because the promised payments are fixed, bond prices change in response to changes in the market-required rate of return. For investors who hold bonds, the issue of how sensitive a bond's price is to changes in the required rate of return is important. There are four measures of bond-price sensitivity that are commonly used: Simple Maturity, Macaulay Duration (effective maturity), Modified Duration, and Convexity. Each of these measures provides a more exact description of how a bond price changes relative to changes in the required rate of return.

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