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Duration is a linear measure of how the price of a bond changes in response to interest rate changes. It is approximately equal to the percentage change in price for a given change in yield, and may be thought of as the elasticity of the bond's price with respect to discount rates. For example, for small interest rate changes, the duration is ...
The more curved the price function of the bond is, the more inaccurate duration is as a measure of the interest rate sensitivity. [2] Convexity is a measure of the curvature or 2nd derivative of how the price of a bond varies with interest rate, i.e. how the duration of a bond changes as the interest rate changes. [3] Specifically, one assumes ...
Duration is a linear measure of how the price of a bond changes in response to interest rate changes. As interest rates change, the price does not change linearly, but rather is a convex function of interest rates. Convexity is a measure of the curvature of how the price of a bond changes as the interest rate changes.
When considering bond prices, higher coupon rates, par values or periods to maturity will have higher prices. However, if a bond has a higher YTM, the bond price will be lower. Bond Prices vs ...
The calculation of bond prices due to the change in time to maturity can also be easily figured based on some relatively simple math, giving investors a clear idea of a bond’s expected price.
The yield elasticity of bond value is the elasticity of the market value of a bond with respect to its yield—the percentage change in bond value divided by its causative percent change in the yield to maturity of the bond. Equivalently, it is the derivative of value with respect to yield times the (interest rate/value).
In practice the most significant of these is bond convexity, the second derivative of bond price with respect to interest rates. As the second derivative is the first non-linear term, and thus often the most significant, "convexity" is also used loosely to refer to non-linearities generally, including higher-order terms.
The price you pay for a bond may be different from its face value, and will change over the life of the bond, depending on factors like the bond’s time to maturity and the interest rate environment.