Actuarial Mathematics (1) - NU

Survival Models & Future Lifetime Variables: Formulating mathematical representations for the age-at-death random variable, survival functions \(S_x(t)\), and the force of mortality \(\mu _{x}\).Life Tables: Constructing and interpreting traditional demographic mortality tables to determine conditional survival and death probabilities (e.g., \({}_{q}p_{x}\) and \({}_{qx}\)).Life Insurance Valuation: Deriving the present value of future benefits for distinct insurance frameworks, including whole life, term, and deferred life insurance contracts.Life Annuities: Calculating expected present values for continuous, discrete, and temporary annuity payments paid out contingent on survival.Net Premium Calculation: Implementing the equivalence principle to establish standard net premiums by equating the expected present value of benefits to future premiums.Net Premium Reserves: Assessing a company's required financial reserves over the lifetime of a policy using both prospective and retrospective accounting methodologies.