CM1 Actuarial Mathematics
The foundation of every actuarial career: compound interest, life contingencies, and cash-flow modelling.
About CM1
CM1 is the first paper most students sit. It builds the mathematical foundation that every subsequent actuarial paper depends upon: compound interest, present values, life tables, mortality models, and the pricing of insurance products. Master CM1 and you have proven to every employer that you can handle actuarial mathematics.
Who is this for?
Students who have completed A-level Maths or equivalent (Class 12 with strong Maths). No prior actuarial knowledge needed, because this is where every actuarial career begins.
Complete Syllabus
- Time value of money: compound interest, present values, accumulations, force of interest
- Equation of value: solving for unknown interest rates, time periods, yields
- Annuities: immediate, due, deferred, increasing and decreasing annuities, perpetuities
- Loan schedules: prospective and retrospective methods, interest and capital components
- Life tables: mortality rates, survival functions, qₓ, pₓ, curtate future lifetime
- Life insurance models: whole life, term assurance, endowment, pure endowment, net single premiums
- Life annuities: whole life and temporary annuities, complete and curtate expectations of life
- Net and gross premiums: equivalence principle, expense loadings, gross premium prospective reserve
- Reserves: prospective and retrospective reserves, Thiele’s differential equation
- Multiple decrement models: competing risks, associated single decrement tables
Career Outcomes
Junior Actuarial Analyst, Trainee Actuary at any insurance company or consultancy
₹4–8 LPA with CM1 cleared
Start with compound interest and annuities. The life-table notation looks intimidating but follows a consistent pattern once you understand qₓ and pₓ.
“Ravi Sir’s approach to CM1 is completely different: he builds intuition first, formulas second. I cleared in my first attempt and my employer specifically mentioned CM1 during my interview.”