Course title
V06402003
Financial and Actuarial Mathematics

 NAKATSU Tomonori Click to show questionnaire result at 2019
Course description
Lectures on Financial and Actuarial Mathematics
Purpose of class
Learn basics of Financial and Actuarial Mathematics
Goals and objectives
  1. Learn pricing of financial products in Binomial models
  2. Learn relationship between risk neutral probability and no arbitrage
  3. Learn basics of Actuarial mathematics
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Guidance, future contract, option Review of lectures 180minutes
2. Derivatives, arbitrage opportunity Review of lectures 180minutes
3. Pricing in one period binomial model Review of lectures 180minutes
4. Multi period binomial model Review of lectures 180minutes
5. Pricing in multi period binomial model Review of lectures 180minutes
6. Pricing in multi period binomial model Review of lectures 180minutes
7. Pricing in multi period binomial model
Cox-Ross-Rubinstein formula 		Review of lectures 180minutes
8. Finite probability space Review of lectures 180minutes
9. Conditional expectation Review of lectures 180minutes
10. Martingale, Risk neutral probability Review of lectures 180minutes
11. Risk neutral probability and No arbitrage opportunity in binomial models Review of lectures 180minutes
12. Survival probability, Life table Review of lectures 180minutes
13. Principle of equivalence, Term insurance, Pure endowment, Endowment insurance Review of lectures 180minutes
14. Life annuity, Annual premium Review of lectures 180minutes
Total. - - 2520minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Mid-term exam Final exam Total.
1. 35% 0% 35%
2. 15% 20% 35%
3. 0% 30% 30%
Total. 50% 50% -
Evaluation method and criteria
Mid-term exam and Final exam (Depending on the situation, reports will be added to the evaluation)
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
The Others 授業内あるいは授業外
Textbooks and reference materials
The following would be helpful:
・「ファイナンスのための確率解析I」S.E.シュリーヴ著、丸善出版
Prerequisites
Nothing special
Office hours and How to contact professors for questions
  • e-mail
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
Most classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
Applicable
Education related SDGs:the Sustainable Development Goals
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Sep 09 06:50:57 JST 2023