Actuarial Formula Cheat Sheet

Actuarial formula cheat sheet created using $\LaTeX$ that includes essential formulas for actuarial science including probability distributions, life tables, annuities, insurance calculations, risk theory, and financial mathematics concepts used in actuarial practice.

Created and maintained by Martial Phélippé-Guinvarc'h, Actuary, Lecturer, Director of the I&A Chair, Scientific Competition with Agricultural Risks of Le Mans Université.

Contributed by Marcelo Moreno Porras, Economist and Lecturer at Universidad Rey Juan Carlos and whose contribution comes from the time series econometrics part and translations to English and Spanish (in progress).

Download links

Language	Download	Source
French 🇫🇷	PDF	TeX
English 🇬🇧	PDF	TeX
Spanish 🇪🇸	PDF	TeX

Complete set (PDF and TeX, all languages): ZIP

🖨️ Booklet-style printing is supported.

What's included

This formula sheet covers essential actuarial concepts including:

• Probability and Statistics: Common distributions used in actuarial science (exponential, gamma, Weibull, Pareto, etc.)
• Life Tables: Mortality functions, survival probabilities, life expectancies.
• Annuities: Present and future values of various annuity types.
• Life Insurance: Net single premiums, reserves, and policy values.
• Risk Theory: Individual and collective risk models, ruin probability.
• Financial Mathematics: Interest rates, present value calculations, bonds.
• Credibility Theory: Classical and Bayesian credibility formulas.

Frequently Asked Questions (FAQ)

Are these formulas sufficient for actuarial exams?

While this sheet covers fundamental formulas, it should be used as a supplement to comprehensive study materials for professional actuarial examinations. Always refer to the official syllabus and study materials for your specific exam.

Why focus on these particular topics?

The topics included represent core mathematical foundations that every actuary should know, regardless of their specialization area. These formulas appear frequently in both academic coursework and professional practice.

Resources

The formulas and concepts included in this sheet are based on standard actuarial science references:

[1] Dickson, David C. M. Insurance Risk and Ruin. Second edition, Cambridge University Press, 2017. International Series on Actuarial Science.

[2] Dickson, D. C. M., et al. Actuarial mathematics for life contingent risks. Third edition, Cambridge University Press, 2020.

[3] Cipra, Tomas. Financial and Insurance Formulas. Springer-Verlag Berlin Heidelberg, 2010. Financial and Insurance Formulas.

This project is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).