The financial markets have an essential role in s ociety. Further, these markets are constantly evolving. Therefore, models and methods have to be developed and adapted to the new market conditions to be useful for decisions. This dissertation contributes to model and method developments by adapting them to new financial m arket f unctions by u tilizing n ew possibilities within data and computation. The tools and techniques are from the field of financial engineering, including applied mathematics, computer science, and economic theory .
Author StatementsPaper I; Blomvall, Söderbäck, and Singull Blomvall proposed the research idea, provided data, and proposed the idea for the method, and Söderbäck contributed with additional methodological ideas. Further, Söderbäck related the idea to existing literature, derived the mathematics, and implemented the computer implementation. All three authors have contributed to the analysis. Söderbäck wrote the draft of the paper. Blomvall and Singull gave feedback on the draft, and Söderbäck finalized the paper from the feedback.Paper II; Söderbäck, Blomvall, and Singull Söderbäck identified the research gap, proposed the idea of the paper, placed the paper in relation to existing literature, and provided some of the data. Blomvall provided other parts of the data. Blomvall and Singull gave feedback on the conceptualization and methodology of the mathematical formulation of the paper. Söderbäck derived the mathematics, implemented the computer implementation, analyzed the results, and wrote the draft of the paper. Blomvall and Singull gave feedback on the draft, and Söderbäck finalized the paper from the feedback.Paper III; Blomvall, Söderbäck, and Singull Blomvall proposed the main concept of the paper and provided parts of the data. Blomvall and Söderbäck contributed to the formulation of the methodology. Söderbäck placed the idea in relation to existing literature, derived the mathematics, implemented the computer implementation, analyzed and visualized the results, provided parts of the data, and wrote the draft of the paper. Blomvall and Singull gave feedback on the draft, and Söderbäck finalized the paper from the feedback. ix Decomposing the Option Pricing Problem Paper IV; Blomvall, Söderbäck, and Singull Blomvall proposed the main concept of the paper and provided parts of the data. Blomvall and Söderbäck contributed to the formulation of the methodology. Söderbäck placed the idea in relation to existing literature, derived the mathematics, analyzed and visualized the results, provided parts of the data, and wrote the draft of the paper. The computer implementation was primarily implemented by Söderbäck, e.g., general data management, pricing functionality, gradients computations, and functionality for calling solvers and analyzing the results. Blomvall wrote the specialized solver used in the paper. Blomvall and Singull gave feedback on the draft, and Söderbäck finalized the paper from the feedback.