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Mathematics in Finance and Insurance

Class at Faculty of Mathematics and Physics |
NMFM437

Syllabus

1. Simple interest and discount, calendar conventions.

2. Discount securities (bills of exchange, T-bills, checking account).

3. Compound interest and discount, continuous and random compounding. Inflation, real interest rate.

4. Time value of money. Systems of cash flows. Investment rules.

5. Annuities, perpetuities and deferred annuities.

6. Amortization of debt.

7. Bonds (types of bonds, bond pricing, yield curve, duration).

8. Stocks (stock pricing, stock analysis, rights issue).

9. Derivative securities (forwards, futures, swaps, options).

10. Speculation on securities, security exchanges, stock indices.

11. Financial risk. Portfolio analysis. Diversification. CAPM model.

12. Insurance classification.

13. Life Tables, commutation functions.

14. Basic calculation in life insurance.

15. Basic calculation in non-life insurance.

16. Pension insurance.

Annotation

Survey of modern methods of financial and insurance calculations applied in financial and insurance practice: types of interest compounding, annuities, systems of cash flows, investment rules, short-term and long-term securities, bonds, stocks and stock exchange indicators, derivative securities, financial risk, speculation on securities, portfolio theory, CAPM model, basic insurance principles, Life Tables, calculations in life insurance, pension insurance. In the summer semester, the course is in English.