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Thus modified duration is approximately equal to the percentage change in price for a given finite change in yield. So a 15-year bond with a Macaulay duration of 7 years would have a modified duration of roughly 7 years and would fall approximately 7% in value if the interest rate increased by one percentage point (say from 7% to 8%). [20]
= reasonably expected 7 to 10 Year Growth Rate of EPS 4.4 {\displaystyle 4.4} = the average yield of AAA corporate bonds in 1962 (Graham did not specify the duration of the bonds, though it has been asserted that he used 20 year AAA bonds as his benchmark for this variable [ 5 ] )
the number of complete years, counted back from the last day of the period; the remaining initial stub, calculated using the basic rule. As an example, a period from 1994-02-10 to 1997-06-30 is split as follows: 1994-06-30 to 1997-06-30 = 3 (whole years calculated backwards from the end) 1994-02-10 to 1994-06-30 = 140/365
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Historically, gilt names referred to their purpose of issuance, or signified how a stock had been created, such as 10 + 1 ⁄ 4 % Conversion Stock 1999; or different names were used for different gilts simply to minimise confusion between them. In more recent times, gilts have been generally named Treasury Stocks.
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There is a time dimension to the analysis of bond values. A 10-year bond at purchase becomes a 9-year bond a year later, and the year after it becomes an 8-year bond, etc. Each year the bond moves incrementally closer to maturity, resulting in lower volatility and shorter duration and demanding a lower interest rate when the yield curve is rising.