Tóm tắt

Actuarial science is a discipline that applies mathematical and statistical methods to assess risk in the insurance and finance industries. An overview highlights key concepts and methodologies central to the field. The binomial distribution is fundamental in modeling the number of successful outcomes in a fixed number of trials, providing a basis for various actuarial models. Conditional probability, which assesses the probability of an event given that another event has occurred, is essential for understanding dependencies and interactions between risks. The law of total probability offers a framework to compute the overall likelihood of an event based on a partition of the sample space, facilitating comprehensive risk assessments. Rate making in life insurance and property and casualty insurance combine these principles to determine premiums, balancing the insurer’s risk with policyholder affordability. Enterprise Risk Management (ERM) and enhanced risk mapping provide a visual representation of risk exposures, aiding in identifying risk concentrations and interdependencies.