A stochastic dynamic programming approach for pricing options on stock-index futures

The aim of this thesis is to price options on equity index futures with an application to standard options on S&P 500 futures traded on the Chicago Mercantile Exchange. Our methodology is based on stochastic dynamic programming, which can accommodate European as well as American options. The model accommodates dividends from the underlying asset. It also captures the optimal exercise strategy and the fair value of the option. This approach is an alternative to available numerical pricing methods such as binomial trees, finite differences, and ad-hoc numerical approximation techniques. Our numerical and empirical investigations demonstrate convergence, robustness, and efficiency. We use this methodology to value exchange-listed options. The European option premiums thus obtained are compared to Black's closed-form formula. They are accurate to four digits. The American option premiums also have a similar level of accuracy compared to premiums obtained using finite differences and binomial trees with a large number of time steps. The proposed model accounts for deterministic, seasonally varying dividend yield. In pricing futures options, we discover that what matters is the sum of the dividend yields over the life of the futures contract and not their distribution.

Market reactions to changes in the Nasdaq-100 Index membership

We examine stock market reactions around the Nasdaq-100 Index reconstitutions. We find a symmetric and transitory price response accompanied by a significant increase in trading volume on the effective date. Firms added to the Nasdaq-100 Index experience significant increases in institutional ownership, the number of market makers, and the number of shareholders. In contrast, firms removed from the index show significant decreases in the number of institutional shareholders. Additions to the Nasdaq-100 Index also show significant increases in four liquidity measures, whereas deletions demonstrate significant decreases in two liquidity measures. These changes in liquidity are related to the abnormal return on the announcement day. Taken together, the results suggest support for the price pressure, liquidity, and investor awareness hypotheses.

Volume-Synchronized Probability of Informed Trading (VPIN), Market Volatility, and High-Frequency Liquidity

We assess the predictive ability of three VPIN metrics on the basis of two highly volatile market events of China, and examine the association between VPIN and toxic-induced volatility through conditional probability analysis and multiple regression. We examine the dynamic relationship on VPIN and high-frequency liquidity using Vector Auto-Regression models, Granger Causality tests, and impulse response analysis. Our results suggest that Bulk Volume VPIN has the best risk-warning effect among major VPIN metrics. VPIN has a positive association with market volatility induced by toxic information flow. Most importantly, we document a positive feedback effect between VPIN and high-frequency liquidity, where a negative liquidity shock boosts up VPIN, which, in turn, leads to further liquidity drain. Our study provides empirical evidence that reflects an intrinsic game between informed traders and market makers when facing toxic information in the high-frequency trading world.

Trading nitrogen for carbon: Nitrogen and carbon translocation in a plant/fungal (Metarhizium spp.) symbiosis

While nitrogen is critical for all plants, they are unable to utilize organically bound nitrogen in soils. Therefore, the majority of plants obtain useable nitrogen through nitrogen fixing bacteria and the microbial decomposition of organic matter. In the majority of cases, symbiotic microorganisms directly furnish plant roots with inorganic forms of nitrogen. More than 80% of all land plants form intimate symbiotic relationships with root colonizing fungi. These common plant/fungal interactions have been defined largely through nutrient exchange, where the plant receives limiting soil nutrients, such as nitrogen, in exchange for plant derived carbon. Fungal endophytes are common plant colonizers. A number of these fungal species have a dual life cycle, meaning that they are not solely plant colonizers, but also saprophytes, insect pathogens, or plant pathogens. By using 15N labeled, Metarhizium infected, wax moth larvae (Galleria mellonella) in soil microcosms, I demonstrated that the common endophytic, insect pathogenic fungi Metarhizium spp. are able to infect living soil borne insects, and subsequently colonize plant roots and furnish ts plant host with useable, insect-derived nitrogen. In addition, I showed that another ecologically important, endophytic, insect pathogenic fungi, Beauveria bassiana, is able to transfer insect-derived nitrogen to its plant host. I demonstrated that these relationships between various plant species and endophytic, insect pathogenic fungi help to improve overall plant health. By using 13C-labeled CO2, added to airtight plant growth chambers, coupled with nuclear magnetic resosnance spectroscopy, I was able to track the movement of carbon from the atmosphere, into the plant, and finally into the root colonized fungal biomass. This indicates that Metarhizium exists in a symbiotic partnership with plants, where insect nitrogen is exchanged for plant carbon. Overall these studies provide the first evidence of nutrient exchange between an insect pathogenic fungus and plants, a relationship that has potentially useful implications on plant primary production, soil health, and overall ecosystem stability.

Certificate for One Share of Capital Stock in Nicola Valley Coal and Coke Company

Certificate for 1 share of capital stock in Nicola Valley Coal and Coke Company to Welland D. Woodruff, May 13, 1905.

Certificate for Twenty-One Shares of Capital Stock in Nicola Valley Coal and Coke Company

Certificate for 21 shares of capital stock in Nicola Valley Coal and Coke Company to Welland D. Woodruff, Oct. 16, 1905.

Certificate for One Thousand Shares of Capital Stock in Lincoln-Nipissing Development Co. Ltd.

Certificate for 1,000 shares of capital stock in Lincoln-Nipissing Development Co. Ltd. to Hamilton K. Woodruff, Feb. 21, 1907.

Certificate for One Share of Capital Stock in St. Catharines Golf Club Ltd.

Certificate for 1 share of capital stock in St. Catharines Golf Club Ltd. to Dr. Thos. Woodruff, April 15, 1911.

Certificate for One Share of Capital Stock in the Lincoln County Greater Production Company

Certificate for 1 share of capital stock in the Lincoln County Greater Production Company to Hamilton K. Woodruff, Jan. 20, 1919.

Certificate for Six Shares of Capital Stock in Gove Motor Car Company, Detroit, Michigcan

Certificate for 6 shares of common capital stock in Gove Motor Car Company, Detroit, Michigan to Hamilton K. Woodruff, June 13, 1921.

Certificate for Two Shares of Preferred Capital Stock in Gove Motor Car Company, Detroit, Michigan

Certificate for 2 shares of preferred capital stock in Gove Motor Car Company, Detroit, Michigan to Hamilton K. Woodruff, June 13, 1921.

Certificate for Two Shares of Capital Stock in The Henley Aquatic Association Limited

Certificate for 2 shares of capital stock in Henley Aquatic Association Limited to Hamilton K. Woodruff, Oct. 15, 1921.

Certificate for Sixty Shares of Capital Stock in High Pressure Oil and Gas Syndicate, Limited

Certificate for 60 shares of capital stock in High Pressure Oil and Gas Syndicate, Limited to Hamilton K. Woodruff, Nov. 1, 1922.

Certificate for Five Shares of Common Stock in Lincoln Manufacturing Company Limited

Certificate for 5 shares of common stock in Lincoln Manufacturing Company Limited to Hamilton K. Woodruff, April 10, 1923.

Certificate for Ten Shares of Accumulative Preference Capital Stock in Lincoln Manufacturing Company Limited

Certificate for 10 shares of accumulative preference capital stock in Lincoln Manufacturing Company Limited to Hamilton K. Woodruff, April 10, 1923.