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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 …


Market Risk Management For Financial Institutions Based On Garch Family Models, Qiandi Chen May 2017

Market Risk Management For Financial Institutions Based On Garch Family Models, Qiandi Chen

Arts & Sciences Electronic Theses and Dissertations

The financial stock market turned out to rise and fall suddenly and sharply in recent years, which means that volatility and uncertainty is very significant in market and measuring the market risk accurately is of great importance. I collect the historical close price of S&P 500 Financials Sector Index from January 19th 2011 to January 31st 2017, and use the daily logarithm yield as time series data to build 2 ARMA models and 5 GARCH family models using t-distribution. Then I calculate future 10 days’ relative VAR in 1-day horizon under 99\% confidence level based on the selected model. E-GARCH …