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Convex order properties of discrete realized variance and applications to variance options
independent increments increasing convex order discretely sampled
2011/3/30
We consider a square-integrable semimartingale with conditionally independent increments and symmetric jump measure, and show that its discrete realized variance dominates its quadratic variation in i...
Max-Plus decomposition of supermartingales and convex order. Application to American options and portfolio insurance
Max-Plus decomposition supermartingales convex order Application American options portfolio insurance
2010/12/17
We are concerned with a new type of supermartingale decomposition in the Max-Plus algebra, which essentially consists in expressing any supermartingale of class $(\mathcal{D})$ as a conditional expec...