- Zin ARAI
- Hitoshi ARAI
- Takashi SAKAJO
- Hiroshi SUITO
- Dan TANAKA
- Kaori NAGATOU
- Yumiharu NAKANO
- Masaharu NAGAYAMA
- Katsuhiro NISHINARI
- Ichiro HASUO
- Kazuhisa MAKINO
- Nakahiro YOSHIDA
Yumiharu NAKANO
Associate Professor
Graduate School of Innovation Management, Tokyo Institute of Technology
Research Theme
Mechanisms of risk diversification in insurance-type financial instrumentsThis study aims the mathematical elucidation of mechanisms of risk diversification. The key to the analysis is to introduce utility functionals with pooling and time-dividing of risk, which constitute essential features of insurance-type financial instruments offered in life insurances and bank lendings. This approach gives a new viewpoint to the conventional explanation of risk diversification by the law of large numbers. In addition, it leads to a mathematical model for the problem of finding reasonable safety loadings in multi-period for which there has been no standard methodology.