5032 research outputs found
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Jess Parker, Joe Schmo, Gordon Reistrup
Oakridge Medal Final Winner Jess Parker on her Joe Schmo with Founder Gordon Reistruphttps://digitalcommons.hollins.edu/riding/1111/thumbnail.jp
Katie Furches \u2710, Piece of the Rock, 2009
Katie Furches \u2710 on Piece of the Rock at R-MWC 2009https://digitalcommons.hollins.edu/riding/1108/thumbnail.jp
Natasha Vitkovic \u2700, Speakeasy; Anne Justis \u2702, Higher Power
Left to right; Natasha Vitkovic \u2700 on Speakeasy, Anne Justis \u2702 on Higher Powerhttps://digitalcommons.hollins.edu/riding/1099/thumbnail.jp
Jennifer Champagne \u2706, Unknown Horse, Nancy Peterson, Liz Courter, Robert Cacchione
https://digitalcommons.hollins.edu/riding/1136/thumbnail.jp
Lizzie Ranzo \u2716, Tinker Mountain, Virginia Horse Center
Lizzie Ranzo \u2716 on Tinker Mountain at Virginia Horse Centerhttps://digitalcommons.hollins.edu/riding/1169/thumbnail.jp
Emma Lane Poole \u2713, Tinker Mountain, Warrenton Horse Show
Emma Lane Poole \u2713 on Tinker Mountain at Warrenton Horse Showhttps://digitalcommons.hollins.edu/riding/1174/thumbnail.jp
Brynn Hoffman, California Kid
Brynn Hoffman on California Kidhttps://digitalcommons.hollins.edu/riding/1191/thumbnail.jp
Synthesis and Characterization of Precursors to Fullerene-Functionalized Metal Chalcogenide Nanosheets
Under the direction of Dr. Brian Reeves
Bulk heterojunction solar cells composed of fullerene electron acceptors and polymer electron donors are the current leaders in the field of flexible and transparent solar cells. The solubility of these components enables low-cost production of thin, transparent films but renders low efficiency. Metal chalcogenide nanosheets, such as CdS, CdSe, ZnS, and ZnSe represent potential solutions to the problem. Although these materials are difficult to process because of their low solubility, it is hypothesized that chemically bonding fullerenes to CdX (X= S, Se) and ZnX nanosheets will improve nanosheet stability and solubility while maintaining flexibility and transparency. This would allow them to be used as a new electron transport material to make efficient, flexible, and transparent solar cells. The synthesis of N-boc protected nanosheets as precursors to CdX and ZnX fullerene-functionalized nanosheets is presented here. Preliminary characterization including FT-IR, UV-visible, fluorescence spectroscopy and powder X-ray diffraction is presented
When do jumps matter? A comparison of Black-Scholes and Merton Jump Diffusion models in pricing European Options
Under the direction of Dr. Giancarlo Schrementi
In 1973, Fischer Black and Myron Scholes introduced the Black-Scholes model as an objective quantitative method to price options that do not pay dividends. Over the years, this model has been modified to cover more complex derivatives and stocks, providing a foundational framework for traders and investors to understand option pricing in a systematic way. The formula is based on key assumptions that the volatility of the underlying asset remains unchanged through time and that the market returns should follow a constant log-normal distribution. However, these ideal assumptions do not always hold in practice, and one famous adaptation of the Black-Scholes formula is the Merton Jump Diffusion model, which extends theoriginal framework by incorporating sudden jumps in the underlying asset price. Previous works comparing these two models have shown that although the Merton Jump Diffusion model is generally considered a better version of Black-Scholes, it does come with disadvantages. When varying the strike price and considering different types of moneyness, Merton Jump Diffusion produces less accurate results unless hyperparameters such as jump intensity and magnitude are set at low values. The goal of this research is to confirm these facts using European call-and-put options from leading companies: Coca-Cola and BioNTech. Since both companies are in different fields with contrasting stock behaviors and characteristics, this difference allows us to evaluate Merton Jump Diffusion and Black-Scholes performance under different types of moneyness and strike price. Specifically, we will use Python to compare the accuracy of Black-Scholes and Merton Jump Diffusion models in valuing Coca-Cola and BioNTech call options under real-time conditions. We further vary the strike price to consider how the moneyness can impact the degree of mispricing. Finally, we discuss potential limitations of each model and conclude that since this project merely focuses on pricing simple call-and-put options, further research is needed to validate whether similar patterns are applied to other types of derivative