FIN 4243 Lecture Notes - Lecture 6: Cash Flow, Weighted Arithmetic Mean

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Duration is the slope of the price-yield curve at the bond"s current ytm. Mathematically, the slope of the price-yield curve is the first derivative of the price-yield curve with respect to yield. Duration is the approximate percentage change in price for a 1 percent change in yield. This interpretation, price sensitivity in response to a change in yield, is the preferred and most intuitive interpretation of duration. Duration is a weighted average of the time (in years) until cash flow will be received. The weights are the proportions of the total bond value that each cash flow represents. ** this interpretation is imprecise, but it can be really intuitive) The equation below can be used to approximate the percentage price change for a given change in required yield: > where dp= change in price, p= price of the bond, and dy= change in yield. Suppose that the yield on any bond changes by 100 basis points.

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