This course offers an in-depth exploration of stochastic processes and stochastic calculus, essential tools in various fields such as finance, engineering, and physics.
The module covers fundamental concepts such as Gaussian processes, Brownian motion, martingales, stochastic integration, and stochastic differential equations.
Additionally, it addresses advanced topics like arbitrage pricing and the application of stochastic calculus to the pricing of financial derivatives.
Course Objectives
By the end of this course, students will understand the fundamental properties and characteristics of Gaussian processes and Gaussian variables.
They will explore the properties and applications of Brownian motion, including its continuity and strong Markov property.
Students will gain mastery in filtrations, martingales, and stopping times, which are essential tools in stochastic analysis.
They will study continuous semimartingales and their quadratic variation, laying the groundwork for advanced stochastic calculus.
Additionally, students will develop the ability to construct stochastic integrals and apply Itô’s formula to solve stochastic differential equations.
They will master Girsanov’s theorem and its applications in measure change and risk-neutral pricing.
Finally, students will examine practical applications such as arbitrage pricing and the evaluation of American options using stopping times and stochastic calculus techniques.
This module provides an in-depth exploration of derivative pricing and hedging strategies. It begins with an introduction to the importance of derivatives and an overview of pricing and hedging principles,
then delves into various financial modeling concepts essential for understanding derivative pricing. Topics include the construction and application of binomial tree models, the use of the Black-Scholes model for option pricing and hedging, and a comparison between the two models.
The module also analyzes the implications of the no-arbitrage assumption, the characteristics of complete and incomplete markets, and the computation and application of risk-neutral probabilities in derivative pricing.
It covers derivative pricing methods, the construction of replicating portfolios, and the implementation of effective hedging strategies.
The course concludes with an introduction to stochastic differential equations and their relevance in finance.
Course Objectives
The objective of this module is to provide students with an understanding of the theories and techniques related to the continuous-time pricing and hedging of derivative securities.
The syllabus aims to equip students with the knowledge and skills necessary to understand and apply pricing and hedging techniques in real-world financial scenarios.
By the end of this module, students should be able to understand the fundamental principles of derivative pricing and hedging,
apply financial models to accurately price derivative securities, and analyze the role of arbitrage in derivative pricing,
as well as the implications of complete and incomplete markets.
They will also learn to calculate risk-neutral probabilities and use them in derivative pricing,
construct replicating portfolios for hedging derivatives, and grasp the basics of stochastic differential equations and their applications.
This comprehensive module integrates the fundamental principles of accounting and corporate finance to provide students with a broad understanding of financial management within organizations.
In the Corporate Finance component, students explore corporate theory, capital structure theories, and agency frictions, examining their implications for financial decision-making.
Topics include the time value of money, investment budgeting techniques, valuation methods such as discounted cash flow (DCF) and relative valuation, and considerations related to capital structure decisions.
Students also study corporate taxation basics, debt financing options, bankruptcy processes, and banking operations.
Simultaneously, the Accounting component equips students with essential skills in analyzing, interpreting, and reporting financial statements.
They learn to analyze balance sheets, income statements, and cash flow statements, perform ratio analyses to assess performance, and detect fraud in financial statements.
Understanding key accounting concepts, regulatory sources, and interpreting annual reports are vital elements of this component.
Additionally, students delve into corporate taxation principles, sustainability reporting, and their implications for financial decision-making.
Through this integrated approach, students develop a comprehensive understanding of the interaction between accounting practices and corporate finance strategies,
preparing them for effective financial management roles in diverse organizational settings.
Course Objectives
By the end of this course, students will:
– Understand the theoretical foundations of corporate finance, including corporate theory, capital structure, and agency frictions.
– Analyze the impact of taxation on capital structure decisions and financial performance.
– Explore the dynamics of debt financing, bankruptcy, and banking operations in the context of financial engineering.
– Develop skills in analyzing and interpreting financial statements, including constructing financial statements and calculating key ratios.
– Examine corporate taxation principles and their implications for investment decisions and financial reporting.
– Assess the value of environmental, social, and economic sustainability reporting as an alternative to traditional financial reporting methods.
This course introduces students to the fundamental principles of optimization and computational methods applied to finance.
It covers various optimization techniques and their applications in financial engineering, including portfolio optimization, risk management, derivative pricing, and asset-liability management.
Additionally, the course includes numerical methods for solving partial differential equations (PDEs) relevant to finance.
Students will learn how to formulate financial problems into optimization models and use computational methods to solve them efficiently.
Course Objectives
– Understand the theoretical foundations of optimization and computational methods in finance.
– Formulate financial problems into optimization models and apply computational algorithms to solve financial optimization problems.
– Explore the applications of optimization techniques in portfolio management, risk evaluation, and derivative pricing.
– Develop the ability to analyze and interpret optimization results in financial decision-making processes.
– Gain practical experience through programming assignments and real-world case studies.
– Understand numerical methods for solving PDEs and their applications in finance.
This module provides a comprehensive overview of the principles of insurance, modeling techniques, and actuarial practices.
It covers fundamental concepts such as insurance principles, risk assessment, pricing strategies, life and non-life insurance modeling, reinsurance fundamentals, insurance accounting, and social insurance systems.
Through theoretical teachings and practical applications, students gain insights into the economic impact of insurance, regulatory frameworks, risk assessment, premium setting, and industry-specific financial reporting,
preparing them for roles in insurance, actuarial science, risk management, and related fields.
Course Objectives
The objectives of this course aim to enable students to understand the fundamental principles of insurance and pensions,
as well as the financial environment in which most actuarial work is conducted, focusing on key products and principles of insurance and pensions.
Students will learn to apply actuarial techniques, particularly in the areas of insurance, pensions, and social security.
They will also be trained to apply essential aspects of risk management to find appropriate solutions while effectively utilizing their technical knowledge and skills in actuarial science.
This course aims to equip students with essential digital skills for navigating modern finance.
It emphasizes the importance of digital literacy, mastery of information research and evaluation, use of digital communication tools,
optimization of productivity through digital tools, promotion of ethical conduct in financial contexts, and adaptation to emerging financial technologies for professional development.
Course Objectives
By the end of the course, students will understand the importance of digital literacy in finance,
develop mastery in researching and evaluating financial information online,
acquire skills in using digital communication and productivity tools for financial tasks,
demonstrate ethical awareness and responsible digital citizenship,
and learn to adapt to emerging financial technologies for their ongoing professional development.