3 problems
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Conjectured form of the second summand for grids with nonuniform spacings
Grid-mixture conjecture. Apart from , which changes according to the results of Fukuda and Rosenbaum under their assumptions, the second summand should be
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Bounded quadratic variation conjecture for small-maturity forward smiles
Consider a process whose small-maturity forward smile is studied through the forward implied volatility , and let its quadratic variation be the accumulated quadratic…
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Convex-order conjecture for realized variance and quadratic variation
Let be a semimartingale and let be a partition of . Write for the realized variance of along , and let denot…