Tabellab
Math & Teaching Intermediate

Actuarial Math Basics: Life Tables, Annuities & Premiums

Effective rates and discount factors, annuities certain, life tables, life expectancy, term insurance and pure endowments, life annuities, net level premiums and reserves: 8 graded labs that take one 10-year policy from interest theory to its reserve chart.

8 lessons 8 labs 2.2 h Certificate

The first lesson is free — no account needed.

About this course

An actuarial mathematics course that takes one 10-year endowment policy for a 60-year-old from interest theory to its reserve chart, in 8 graded spreadsheet labs. You turn a nominal rate into an effective annual rate and build the discount factors v^n, value an annuity-immediate and an annuity-due, derive dx, qx, px and tpx from the survivors of a life table, add survival probabilities up to the curtate life expectancy, price a 10-year term insurance and a pure endowment with expected present values, value a temporary life annuity-due, set the net level premium with the equivalence principle and calculate the prospective reserve for every policy year. For actuarial students and insurance staff who want to see the formulas work. The life table is illustrative, and Tabellab has no affiliation with the Society of Actuaries. The first lab is free.

Lessons

  1. Interest Theory: Effective Rates, Discount Rates & v^nLab14 minFree
  2. Annuities Certain: PV & FV, Immediate vs DueLab14 min Pro
  3. The Life Table: lx, dx, qx, px and tpxLab16 min Pro
  4. Life Expectancy: Curtate e_x from the Life TableLab14 min Pro
  5. Term Insurance & Pure Endowment: Expected Present ValuesLab18 min Pro
  6. Life Annuities: Actuarial Present Value of a PensionLab16 min Pro
  7. Net Level Premium: the Equivalence PrincipleLab18 min Pro
  8. Policy Reserves: Prospective Reserve & Its Path over TimeLab20 min Pro