- Bond duration closed-form formula
Bond duration closed-form formula :$Dur=frac\{Cfrac\{(1+ai)(1+i)^m-(1+i)-(m-1+a)i\}\{i^2(1+i)^\{(m-1+a)+frac\{100(m-1+a)\}\{(1+i)^\{(m-1+a)\}\{P\}$

C = coupon payment per period (half-year)

i = discount rate per period (half-year)

a = fraction of a period remaining until next coupon payment

m = number of coupon dates until maturityLook up

Bond convexity closed-form formula

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**Bond convexity closed-form formula**— (Blake and Orszag): Conv= frac{D}{P}egin{Bmatrix}frac{(m 1+a+1)(m 1+a+2)(1/(1+i))^{(m 1+a+2){i}+2frac{(m 1+a+2)(1/(1+i))^{(m 1+a+2)} (1/(1+i))}{i^2}+2frac{(1/(1+i))^{(m 1+a+2)} (1/(1+i)}{i^3}end{Bmatrix}+frac{B}{P}frac{(m 1+a)(m… … Wikipedia**Closed-form formula**— A single arithmetic formula obtained to simplify an infinite sum in a general formula. The general formula of bond duration and bond convexity cannot be said closed form as there is an infinite sum over the different time periods. Using a closed… … Wikipedia**Bond duration**— Financial markets Public market Exchange Securities Bond market Fixed income Corporate bond Government bond Municipal bond … Wikipedia**Time value of money**— The time value of money is the value of money figuring in a given amount of interest earned over a given amount of time. The time value of money is the central concept in finance theory. For example, $100 of today s money invested for one year… … Wikipedia**Binomial options pricing model**— BOPM redirects here; for other uses see BOPM (disambiguation). In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. The binomial model was first proposed by Cox, Ross and… … Wikipedia**Cocaine**— For other uses, see Cocaine (disambiguation). Cocaine … Wikipedia**Dimensional analysis**— In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass,… … Wikipedia**china**— /chuy neuh/, n. 1. a translucent ceramic material, biscuit fired at a high temperature, its glaze fired at a low temperature. 2. any porcelain ware. 3. plates, cups, saucers, etc., collectively. 4. figurines made of porcelain or ceramic material … Universalium**China**— /chuy neuh/, n. 1. People s Republic of, a country in E Asia. 1,221,591,778; 3,691,502 sq. mi. (9,560,990 sq. km). Cap.: Beijing. 2. Republic of. Also called Nationalist China. a republic consisting mainly of the island of Taiwan off the SE coast … Universalium**Europe, history of**— Introduction history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… … Universalium