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The specifics vary from bond to bond, but callable bonds always have one thing in common — the issuer can pay off the bond early. As an investor, there are potential benefits and drawbacks to ...
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In algebraic geometry, convexity is a restrictive technical condition for algebraic varieties originally introduced to analyze Kontsevich moduli spaces ¯, (,) in quantum cohomology. [ 1 ] : §1 [ 2 ] [ 3 ] These moduli spaces are smooth orbifolds whenever the target space is convex.
By issuing numerous callable bonds, they have a natural hedge, as they can then call their own issues and refinance at a lower rate. The price behaviour of a callable bond is the opposite of that of puttable bond. Since call option and put option are not mutually exclusive, a bond may have both options embedded. [3]
Convexity is not strictly necessary for Brouwer's fixed-point theorem. Because the properties involved (continuity, being a fixed point) are invariant under homeomorphisms , Brouwer's fixed-point theorem is equivalent to forms in which the domain is required to be a closed unit ball D n {\displaystyle D^{n}} .
The concept of strong convexity extends and parametrizes the notion of strict convexity. Intuitively, a strongly-convex function is a function that grows as fast as a quadratic function. [11] A strongly convex function is also strictly convex, but not vice versa.
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