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Free University of Bozen-Bolzano

Financial Mathematics

Semester 1 · 25425 · Master in Accounting and Finance · 6CP · EN


• Purpose: Provision of mathematical concepts and techniques used in the financial industry
• Main contents: Pricing of bonds, term structure determination, mechanics and pricing of derivatives (forwards, futures, swaps and options), use of derivatives
• Overall: Necessary foundations in order to attend other finance classes in the Master program

Lecturers: Peter Alfons Schmid

Teaching Hours: 36
Lab Hours: -
Mandatory Attendance: Suggested, but not required

Course Topics
Time value of money, interest rate markets and conventions, pricing of bonds, duration and convexity, interest rate term structure determination and yield spreads, mechanics of forward and future markets; determination of forward and future prices; interest rate and currency swaps; credit default swaps; mechanics of option markets; trading strategies involving options; binomial trees; Wiener processes; Black-Scholes-Merton model; options on stock indices, currencies, and futures; the Greek letters; volatility smile

Teaching format
Frontal lectures and mini cases

Educational objectives
ILO (Intended Learning Outcomes) ILO 1 – Knowledge and Understanding: ILO 1.1 Knowledge of economic and financial planning and evaluation of new investments ILO 1.2 Understanding of the fundamentals of corporate finance for the correct application, for example, of decision-making models and the management of financial data and risks in treasury management ILO 1.3 Knowledge of theories and tools for the economic analysis of firms and markets ILO 1.4 Understanding of basic forecasting models for conducting integrated economic and financial analyses, also using econometric methods for time series and multivariate analysis ILO 2 – Applying Knowledge and Understanding: ILO 2.1 Ability to develop and integrate the results of economic-financial communication into corporate decision-making models ILO 2.2 Ability to design and manage corporate restructuring and other extraordinary operations ILO 2.3 Ability to identify, evaluate, and manage investments in financial markets. ILO 2.4 Ability to design coherent financial management strategies in companies or financial intermediaries, applying acquired knowledge in risk management techniques, asset valuation, and derivative handling ILO 3 – Making Judgements: ILO 3.1 Ability to relate models and empirical evidence in the study of companies, intermediaries, and financial markets ILO 4 – Communication Skills: ILO 4 Ability to communicate effectively, both orally and in writing, the specialised content of individual disciplines, using different registers depending on the audience and the communicative and educational purposes, and to assess the educational impact of such communication ILO 5 – Learning Skills: ILO 5.1 Ability to develop general models based on the phenomena studied

Assessment
Written exams after 50% and at the end of the semester (ILOs assessed 1-5)

Evaluation criteria
1st session: assessment based on mid-term (33%) and final exam (67%) or final exam (100%) 2nd and 3rd session: final exam (100%)

Required readings

John Hull: Optionen, Futures und andere Derivate, Pearson, 11th ed, 2021



Supplementary readings

Selected chapters from CFA Institute Curriculum 2025 edition, Level I – III




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Sustainable Development Goals
This teaching activity contributes to the achievement of the following Sustainable Development Goals.

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