Quantitative Analysis of Insurance in the Financial Engineering Framework
| Project/Area Number |
16530216
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Public finance/Monetary economics
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| Research Institution | Keio University |
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Principal Investigator |
KOGURE Atsuyuki Keio University, Faculty of Policy Management, Professor, 総合政策学部, 教授 (80178251)
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| Co-Investigator(Kenkyū-buntansha) |
SAGAE Masahiko Gifu University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (20215669)
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| Project Period (FY) |
2004 – 2006
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| Project Status |
Completed (Fiscal Year 2006)
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| Budget Amount *help |
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | life table / longevity risk / Lee-Carter methodology / risk neutral probability / comonotonicity / copula / local moments / data squashing / リスク評価 / ベイズ法 / 多変量派生資産 / カーネル法 / 局所尤度法 / データ・スクワッシング / データマイニング / 多変量リスク / Local Moment / Binned Data / Nonparametric Density Estimation |
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| Research Abstract |
The research was conducted over the fiscal years 2004-2006 as follows:
A)Mortality risk and its statistical modeling
Toward managing the longevity risk in pension plans, we examined several statistical modeling for the future mortality rates. In particular, we focused on the Lee-Carter methodology and applied its Poisson regression version to the Japanese mortality data. In the year 2005 we proposed a smoothed form of the Lee-Carter model based on the local likelihood technique. In the year 2006 we further extended the model by setting it in a Bayesian framework.
B)Calibration of multivariate risk neutral probability
In the face of the conversion of the finance and insurance, the risk valuation for products dependent on multiple assets, such as equity indexed annuity, is in the need. We made a fundamental study into the new concept "comonotonicity" with a view to pricing the Asian-and basket-type options. Noting that the multivariate risk neutral distribution can be decomposed into the marginal distributions and the copula, we propose a new calibration method which models the marginal distribution by a log normal mixture distribution and the copula by a distortion method.
C)Developing the nonparametric method based on local moments
For many practical situations data are presented in aggregated forms such as local moments and percentiles prior to statistical analyses. We developed nonparametric techniques for such aggregated data. In the year 2004 we considered the maximum likelihood estimation based on the local moments. In the year 2005 we started to investigate the connection between the data squashing-a data mining technique for massive data sets and the kernel density estimation and proposed a data compression technique called a kernel data squashing in the year 2006.
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Report
(4 results)
Research Products
(31 results)
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[Journal Article] Statistics of life table2007
Author(s)
Kogure, A.
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Journal Title
To appear in the proceedings of the Symposium in commemoration of the 75th anniversary of the Japan Statistical Society
Description
「研究成果報告書概要(欧文)」より
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