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Book 3: Fixed Income
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Convexity
the measure of the curvature of the price-yield relation
Convexity of a single period cash flow at period t =
t(t+1)/(1+r)²
Convexity of a coupon-paying bond (def)
the weighted-average convexity of individual cash flows
For nonannual coupon bonds, how does convexity need to be adjusted?
divided by the number of periods per year squared
Factors that Affect Convexity causing it to increase
longer maturity
lower coupon
lower yield
First Order Effects
duration
Second Order Effects
convexity
Money Convexity =
annual convexity x full price of bond position