
doi: 10.2307/1992003
The purpose of this paper is to investigate the relative importance of yield volatility and durationl in determining a bond's price volatility. Although our analysis is confined to default-free government securities, the basic result can be generalized to any fixed income financial asset. The concept of duration was first introduced by Frederick Macaulay [5] in his 1938 study of railroad bond prices. Macaulay demonstrated that duration and not maturity was the proper measure of a bond's "time dimension." Much of the theoretical research in the area since Macaulay's contribution has concentrated on the relationship between price change and duration for a given change in all yields. In a 1945 article, Samuelson [9] employed duration to assess the effect of a general change in interest rates on the value of a portfolio containing both asset and liability positions. Specifically, he considered the effects of a "flat 1 percent" increase in rates along the entire yield curve. Samuelson then proved the following theorem for just such a change in yields:
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