Bond convexity closed-form formula (Blake and Orszag):
D = coupon payment per period
P = present value (price)
B = face value
i = discount rate per period (half-year)
a = fraction of a period remaining until next coupon payment
m = number of coupon dates until maturity
Look up Bond duration closed-form formula
Famous quotes containing the words bond and/or formula:
“They lived under a just and moderate government, and they admitted that one bond of their fidelity was that their rulers were the better men.”
—Titus Livius (Livy)
“Given for one instant an intelligence which could comprehend all the forces by which nature is animated and the respective positions of the beings which compose it, if moreover this intelligence were vast enough to submit these data to analysis, it would embrace in the same formula both the movements of the largest bodies in the universe and those of the lightest atom; to it nothing would be uncertain, and the future as the past would be present to its eyes.”
—Pierre Simon De Laplace (1749–1827)