Knowledge Visualization of Reasoning for Financial Mathematics with Statistical Theorems

摘要

We have been developing formula databases for our business math lectures. Our target is business mathematics and the main part is financial mathematics. To handle financial word problems, many statistical formulas and theorems must be referenced and used. We describe visualization of the statistical formula database in the paper. To teach statistical theorems, simulation and visualization is so helpful. Therefore such visualization materials should also be stored in the formula database as a piece of our knowledge. On the other hand, the problem exists that math formula database researches may hardly consider its user interfaces. We have been researching a deductive reasoning process for solving a word math problem. Then we proposed that the reasoning process graph can be used as an effective and excellent user interface of the large-scale knowledge base for students to solve a word math problem. In the paper, we show a deductive reasoning process for the Black-Scholes equation as the concrete example, as many statistical formulas are refereed to derive the Black-Scholes equation.