Johann Kurt Wolfgang Boehme

Risk Management

                        VaRα = −F−1(α) · σ · √t
                    

Statistics / Econometrics

                        ρ = Cov(X,Y) / (σX · σY)
                    

Operations Research

                        u(x) → max

                        Ax ≤ b, x ≥ 0

Input-Output Models

                        x = (E − A)−1 y
                    

Financial Mathematics

                        C = S · N(d1) − K · e−rT · N(d2)
                    

Neural Networks

                        y = σ(W · x + b)
                    

"In higher mathematics he rediscovered dialectical movement in its most logical and at the same time simplest form; in his opinion, a science was truly developed only when it had reached the point of being able to make use of mathematics."

— Paul Lafargue on Karl Marx's relationship to mathematics

📐 Purpose and structure of the website

Intension:

Throughout my career in academia and the financial sector, I have focused on applying mathematical methods to both research and economic practice. I have taught various topics in mathematical economics at universities and colleges. My lectures and seminars were primarily theoretical in nature, enriched by a wide range of examples calculated using simple tools, such as pocket calculators. It was only in the descriptive statistics course I taught at the Berlin University of Applied Sciences for Economics and Technology that professional software (SPSS) was used for practical calculations. I always regretted not being able to provide students with software to apply the theory they had learned in a practical setting. Later, while working in the economics and risk controlling departments of a bank, I did use professional software, but I had to rely on professional programmers for any custom applications I needed to develop. It was not until the advent of artificial intelligence that I found myself able to develop programs independently. On this website, alongside the lecture materials I have accumulated over the years, I would like to offer interested readers tools for practical calculations that I have created with the help of the AI Claude (Anthropic). I am convinced that this combination of mathematical texts, presentations, and computational programs represents a forward-looking alternative to traditional textbooks. In doing so, I also hope to spark a discussion on how the teaching and application of artificial intelligence can be integrated.

Structure of the Website:

This website is thematically organised in three levels:

Level 1: Main page
Overview of all topics

Level 2: Topics
Specialised subject areas within a topic (e.g. different financial products in risk management)

Level 3: Specific topic
Detail page with documentation and tools for a specific subject

Documentation includes: theoretical foundations, lecture manuscripts, presentations, exercise collections, own publications and tool descriptions.

Tools are interactive calculators and applications for practical computations.