MATH – 193a. Actuarial Mathematics

Summer, 2023

MWF, 10:00-11:50,

NEWS HOMEWORK HANDOUTS

Instructor: Professor Vladimir Rotar; e-mail: vrotar@ucsd.edu.

Office hours: MWF, 4:00-5:00. If it is needed, office hours may be extended. Some short questions may be answered right after lectures.

Text: Actuarial Models: The Mathematics of Insurance, by V.I.Rotar, the 2^nd edition, Chapman & Hall / CRC, 2014.

Examinations: There will be three quizzes, and a final exam. Non-mandatory but strongly recommended homework will be assigned for each chapter.

SYLLABUS

The list below is rather one of topics than of lectures: the real experience may dictate a slower or faster pace. A slight change of the order of exposition, and even of the contents, is also possible.

Lectures - Topics - Sections in the text-book .

1-2. Risk Measures. Ch.1: 1.1, 1.2.1-3, 5, 3.1-3, 5.1.

3-6. Individual risk models for a short term. Ch.2: 1.1-3, 2.1.1-2, 2.2, 3.1.1.

7-11. Collective risk models for a short term. Ch.3: 1, 2.1.1, 3.1-2.

11-15. Collective risk models over an extended period: insurance processes in time. Ruin probability. Ch.4: 1.1-2, 2.1-2, 3; Ch.6: 1, 2.1-3, 2.5.