ADM 3351 Lecture Notes - Lecture 4: Basis Point, Ceteris Paribus, Weighted Arithmetic Mean

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An increase (decrease) in the required yield decreases (increases) the present value of its expected cash flows and therefore decreases (increases) the bond"s price. This relationship is not linear, however (i. e. , it is not a straight line). The shape of the price yield relationship for any option-free bond is referred to as convex. An explanation for these four properties of bond price volatility lies in the convex shape of the price yield relationship. Characteristics of a bond that affect its price volatility. There are two characteristics of an option-free bond that determine its price volatility: coupon and term to maturity. First, for a given term to maturity and initial yield, the price volatility of a bond is greater, the lower the coupon rate. This characteristic can be seen by comparing the 9%, 6%, and zero-coupon bonds with the same maturity. Second, for a given coupon rate and initial yield, the longer the term to maturity, the greater the price volatility.

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