Jim Daniel's LTAM Seminar Excerpts

Premiums for benefits only

Premiums for benefits only discusses premiums for benefits only---that is, ignoring expenses. It defines and studies the loss-at-issue random variable in general as well as with net premiums determined by the Equivalence Principle. Details are derived only for the fully-continuous case, with results stated on what happens in other cases. It contains about 8.5 pages of text. Here is the table of contents:

  • 1.1 Introduction
  • 1.2 The loss-at-issue random variable 0Lb and the Equivalence Principle
  • 1.3 Fully-continuous insurance
    • 1.3.1 The general case: fully-continuous insurance for the life of a general status
    • 1.3.2 Fully-continuous whole-life insurance on a single life or joint status or last-survivor status
    • 1.3.3 Fully-continuous n-year endowment insurance on a single life or joint status or last-survivor status
    • 1.3.4 Other fully-continuous insurances
  • 1.4 Fully-discrete insurance
  • 1.5 Semi-continuous insurance
  • 1.6 Net premiums in other settings

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