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Arts & Sciences Electronic Theses and Dissertations

2017

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Essays In Financial Economics, Jinji Hao May 2017

Essays In Financial Economics, Jinji Hao

Arts & Sciences Electronic Theses and Dissertations

In the first chapter of my dissertation, I provide a novel framework – the cumulant generating function (cgf) of the market risk on the positive half real line – for studying the market risk which can be replicated by cross sections of index option prices in a model-free manner. Within this unifying framework, independent of the underlying price process, the VIX index measures the height of the cgf at one while the SVIX index proposed by Martin (2016) measures the convexity of the cgf over the interval [0, 2]. A tail index of the market risk, TIX, is proposed based …