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Macaulay duration is a time measure with units in years and really makes sense only for an instrument with fixed cash flows. For a standard bond, the Macaulay duration will be between 0 and the maturity of the bond. It is equal to the maturity if and only if the bond is a zero-coupon bond.
Frederick Robertson Macaulay (August 12, 1882 – March 1970) was a Canadian economist of the Institutionalist School. He is known for introducing the concept of bond duration . [ 1 ] Macaulay's contributions also include a mammoth empirical study of the time series behavior of interest rates published in 1938 and a study of short selling on ...
Bond duration Bond duration is the weighted-average time to receive the discounted present values of all the cash flows (including both principal and interest), while WAL is the weighted-average time to receive simply the principal payments (not including interest, and not discounting). For an amortizing loan with equal payments, the WAL will ...
Bond duration closed-form formula; Bond equivalent yield; C. Clean price; Coupon (finance) ... Macaulay duration; Maturity (finance) Modified duration; Mortgage yield; N.
Specifically, duration can be formulated as the first derivative of the price with respect to the interest rate, and convexity as the second derivative (see: Bond duration closed-form formula; Bond convexity closed-form formula; Taylor series). Continuing the above example, for a more accurate estimate of sensitivity, the convexity score would ...
Some believe that these securities carry little interest rate risk [3] because 1) a floating rate note's Macaulay Duration is approximately equal to the time remaining until the next interest rate adjustment; therefore its price shows very low sensitivity to changes in market rates; and 2) when market rates rise, the expected coupons of the FRN ...
This is equal to the Macaulay duration times the discount rate, or the modified duration times the interest rate. If the elasticity is below -1, or above 1 if the absolute value is used, the product of the two measures, value times yield or the interest income for the period will go down when the yield goes up.
The duration of an equity is a noisy analogue of the Macaulay duration of a bond, due to the variability and unpredictability of dividend payments. The duration of a stock or the stock market is implied rather than deterministic. Duration of the U.S. stock market as a whole, and most individual stocks within it, is many years to a few decades.