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:
“Camillo. Prosperity’s the very bond of love,
Whose fresh complexion and whose heart together
Affliction alters.
Perdita. One of these is true:
I think affliction may subdue the cheek,
But not take in the mind.”
—William Shakespeare (1564–1616)
“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)