convexity

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a convex line or surface
the state of being convex
a measure of the curvature in the relationship between the prices and yields of bonds
{n} a spherical form
It measures the sensitivity of the yield to maturity (YTM) of a bond to changes in duration of the bond
A measure of the rate of change in duration; measured in time The greater the rate of change, the more the duration changes as yield changes
A volatility measure for bonds used in conjunction with modified duration in order to measure how the bond's price will change as interest rates change It is equal to the negative of the second derivative of the bond's price relative to its yield, divided by its price For example, since a non-callable bond's duration usually increases as interest rates decrease, its convexity is positive
A measure of the change in a security's duration with respect to changes in interest rates The more convex a security is, the more its duration will change with interest rate changes
{i} state of being convex, curving outward; convex surface
The second derivative of a bond's price with respect to a change in the interest rate, divided by the bond price
One of the benefits of buying options is convexity: when a stock drops 1 point, and a call option's initial delta of 50% causes a half-point loss in the option, the next one-point drop in a stock will have a lower delta on the call option (for example, 40% in this case), which only causes a 40-cent drop in the option price This "positive curvature" helps reduce your option's price risk on each successive decline in the underlying shares, while the stockholder continues to lose the same 1 point on each successive drop in the stock This positive curvature also works in your favor as the stock moves up, as a call option's delta will increase on each successive gain in the stock, allowing the call option holder greater upside participation with each successive gain in the underlying share price
The second derivative of a bond's price with respect to its yield, divided by its price This number, used in conjunction with modified duration provides a more accurate approximation of the percentage price change resulting from a specified change in a bond's yield than does modified duration alone Convexity is the price measure of how much a bond's price/yield curve deviates from a straight line (measure of the degree of curvature of the price/yield relationship)
a shape that curves or bulges outward
The rate of change in price of a position for a given change in yield
If a graph of the relationship between price and yield on a bond is plotted, the result will not be a straight line but a curved line The degree of curvature is called its convexity and the statistic measuring the curvature is also known as convexity A change in the price/yield relationship will change convexity so the degree of curvature is important in assessing the value of a security Duration is an acceptable gauge in evaluating the effect of a small change in yield but for larger changes, convexity is required Positive convexity refers to a situation in which a fixed-income security's value increases at least as much as duration predicts when interest rates drop and decreases less than duration predicts when rates rise
The second derivative of a bond's price with respect to its yield, divided by its price This number, when used with modified duration, provides a more accurate approximation of the percentage price change resulting from a specified change in a bond's yield than does modified duration alone Convexity is the price measure of how much a bond's price/yield curve deviates from a straight line (measure of the degree of curvature of the price/yield relationship) Generally, bonds with a positive convexity are noncallable In a falling interest rate environment, their price will rise more than it would fall Examples of bonds with a negative convexity are mortgage backed and callable bonds
The state of being convex; the exterior surface of a convex body; roundness
This is the outward curving of the portion of the pouch that has contact with the skin, usually the skin barrier The convex shape provides form to the skin barrier and support to the peristomal skin
the property possessed by a convex shape
The maximum perpendicular distance from the face of a convex fillet weld to a line joining the toes
It is a measure of the shape of the price/yield curve relationship Convexity explains the difference between price change estimated by a bond's DURATION and its actual price change when market yields change
Convexity is the ratio of change in duration for a given change in yield—the change in the slope of the price as a function of a change in yield (second derivative of the price function) In general, convexity increases with longer maturities and smaller coupons and yields
In a fixed income security, convexity measures the way duration and price change when interest rates change
Duration of a bond is not constant over changes in the underlying interest rate market The rate at which duration changes as market yields change is referred to as convexity
{n} gibbosity
{n} gibbousness
convexedness
convexity