Course Title
2022 Actuarial Life Insurance Mathematics Advanced Course
Instructor
Tsutomu Kashiwara
Full Member of the Institute of Actuaries of Japan
* Graduated from the Department of Mathematics and Physics, College of Science and Engineering, Ritsumeikan University (March 1973)
* Joined Fukoku Mutual Life Insurance Company (April 1973)
* Became Full member of the Institute of Actuaries of Japan (April 1981)
* Certified Pension Actuary (April 2004)
* Transferred to Fukoku Shinrai Life (April 2011)
* Launched the website “Kashyukan” (July 2012)
* Published fourth book on actuarial techniques (October 2014)
* Joined Midori Life Insurance Company (April 2016)
* Opened Kashihara Mathematical Calculation Office (July 2019)
* Joined Nihon Management Mathematical Consulting (July 2019)
* Journey across Japan (Wakkanai to Kagoshima) PDF (5th work) (September 2020)
* Surpassed the equivalent of the Earth’s diameter by walking (November 2021)
*Journey across Japan (Wakkanai – Kagoshima) PDF (8th work) (January 2022)
Lecture Scene:
Lecture schedule
Lecture Contents
I would like to transmit to young people an aspect of the attractiveness and depth of actuarial science. There are many situations in which actuaries can play an active role, such as data science, economic value base, ERM, etc., in addition to complex and advanced practices. I would like you to learn the basics first and become an actuary who can spread your wings to the world in the future. Let’s study together!
The following lecture contents are scheduled. (The content of the lecture is subject to change.)
The lectures will be based on PowerPoint presentations
With a 4-hour lecture per day, we would like to proceed according to the following policy.
The first two hours of the course will be devoted to excerpts from the Mathematics of Life Insurance (upper and lower volumes) textbook.
In the second half of the two hours, I would like to extract and explain four or five basic problems from the 160 past problems from 2011 to 2020, organized by genre, taking into consideration the content of the lecture.
Lesson 1: Chapter 1 (Calculation of interest)
Lesson 2: Formulas (transformations of expressions)
Lesson 3: Chapter 2 (Life table and life functions)
Lesson 4: Formulas (mortality, interest, and life expectancy)
Lesson 5: Chapter 4 (Net Premium)
Lesson 6: Product Design
Lesson 7: Chapter 5 (Policy Reserves (Net Premium Formula))
Lesson 8: Policy reserves
Lesson 9: Chapter 7 (Operating Premiums), Chapter 8 (Policy Reserves in Practice)
Lesson 10: Premiums, Chilmer V
Lesson 11: Chapter 3 (Withdrawal Rates), Chapter 13 (Benefits for Unemployment)
Lesson 12: Multiple Withdrawals
Lesson 13: Multiple Withdrawal, Chapter 12 (Continuous Life Insurance, Continuous Life Annuity)
Lesson 14: Joint Life Insurance and Joint Life Pension
Lesson 15: Chapter 9 (Cancellation and Other Changes), Chapter 14 (Disasters and Illness)
Lecture 16: Extensions, payouts, etc.
Lesson 17: Summary lecture
Lesson 18: Compound problems
Lesson 19: Compound problems
Lesson 20: Compound problems
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