Math 5030: Actuarial Mathematics. Spring '08




Time and place: MWF 11:50-12:40, LCB 222.

Instructor: Stewart Ethier (Prof.), JWB 119, 581-6148, ethier@math.utah.edu. Office hours MWF 10--11, or by appointment.

Prerequisite: Math 5010, Introduction to Probability. In fact, if you did not get at least a B in 5010, you will have trouble with this course.

Text: Actuarial Models: The Mathematics of Insurance, by Vladimir I. Rotar. Available for $89.95 at amazon.com.

Aim of course: First, students will be exposed to an interesting and useful area of applied probability, namely actuarial mathematics.

Second, and on a more practical level, students will get partial preparation for the third actuarial exam given by the Society of Actuaries. Exam P is Probability (this should be familiar to you), Exam FM is Financial Mathematics, and Exam M is Actuarial Models (this will be our emphasis). For complete information and syllabi for these exams, go to the Society of Actuaries. We will emphasize route 1 (for a one-semester course) in the text, but students who plan to take Exam M should study routes 1 and 2 (for a two-semester course).

Homework: Written assignments will be given as chapters are completed. Work should be done independently of the other students. Assignments will be posted on this page. Answers (but not complete solutions) can be found in the book.

Grades: There will be a midterm exam at a time to be announced. Grades will be based on homework (30%), midterm (30%), and final exam (40%).

Assignment 1. Chapter 1, Exercises 1, 2, 4. Due Wed. Jan. 23.
Assignment 2. Chapter 1, Exercises 13, 17, 59. Due Wed. Jan. 30.
Assignment 3. Chapter 2, Exercises 9, 11, 13. Due Wed. Feb. 6.
Assignment 4. Chapter 2, Exercises 20, 25, 27. Due Wed. Feb. 13.
Assignment 5. Chapter 3, Exercises 6, 11, 12. Due Wed. Feb. 20.
Assignment 6. Chapter 4, Exercises 6, 21, 27. Due Wed. Feb. 27.
Assignment 7. Chapter 4, Exercises 31, 33, 34. Due Wed. Mar. 5.
Assignment 8. Chapter 5, Exercises 9, 15, 18. Due Wed. Mar. 26.
Assignment 9. Chapter 7, Exercises 9, 13, 14. Due Wed. Apr. 2.
Assignment 10. Chapter 8, Exercises 12, 17, 22. Due Wed. Apr. 9.
Extra credit problem: Complete the Life Table by filling in this spreadsheet. Do not just enter numbers, but rather enter formulas. Due Mon. Apr. 14.
Assignment 11. Chapter 9, Exercises 14, 21, 24. Due Fri. Apr. 18.
Assignment 12. Chapter 10, Exercises 1, 27, 31. Due Wed. Apr. 23 (hard copy) or Fri. Apr. 25 (electronic copy, email pdf file). Excel (.xls) or . pdf only, please.