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Grail of volatility modeling: build a model that jointly and exactly calibrates to the prices of S&P 500 (SPX) options, VIX … satisfy the martingality constraint on the SPX as well as the requirement that the VIX is the implied volatility of the 30-day … we call a dispersion-constrained martingale optimal transport problem, we establish a strong duality theorem and, as a …
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construct the whole implied volatility surface and use the explicit constructions of calibrated (jump-) diffusions, available in …
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We consider estimation of the quadratic (co)variation of a semimartingale from discrete observations which are irregularly spaced under high-frequency asymptotics. In the univariate setting, results from Jacod (2008) are generalized to the case of irregular observations. In the two-dimensional...
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