The main topics are the development of probability distributions for the future lifetime random
variable, probabilistic methods for financial payments depending on death or survival, and
mathematical models of actuarial reserving. The course is designed to provide postgraduate
students the fundamentals of actuarial mathematics as follows.
1. Define present-value-of-benefit random variables defined on survival-time random variables
and calculate the expected values, variances and probabilities.
2. Calculate premiums for life insurances and annuities.
3. Calculate liabilities, analyzing the present-value-of-future-loss random variables.

The main topics are the development of probability distributions for the future life time random
variable, probabilistic methods for financial payments depending on death or survival, and
mathematical models of actual reserve. The course is designed to provide postgraduate
students the fundamentals of actual mathematics as follows.
1. Define present-value-of-benefit random variables defined on survival-time random variables
and calculate the expected values, variations and probability.
2. Calculate premiums for life insurances and annuities.
3. Calculate liabilities, analyzing the present-value-of-future-loss random variables.

Dickson et al. (2009), Actuarial mathematics for life contingent risks, Cambridge, U.K. ; New
York : Cambridge University Press.

Dickson et al. (2009), Actuarial mathematics for life contingent risks, Cambridge, U.K. ; New
York : Cambridge University Press.