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2014 Fiscal Year Final Research Report

Statistical Analysis of Implied Data

Research Project

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Project/Area Number 24530223
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic statistics
Research InstitutionTottori University of Environmental Studies

Principal Investigator

TAKAHASHI Hajime  鳥取環境大学, その他部局等, 教授 (70154838)

Project Period (FY) 2012-04-01 – 2015-03-31
KeywordsImplied Data / Credit Risk / Measure Change / Liquidity
Outline of Final Research Achievements

We consider the conditions under which the estimators obtained impliedly by calibration. The underlying theory is presented by Takahashi (2011, APFM),the results are given under the Martingale Measure though.Takahashi(2011) considers only a special case, where the default is independent from the other economic factors underlying the basic model. In this case, Martingale measure is equal to the real world probability. We consider the methodof Ross, which is proved to be not suitable for our problem. We consider the measure change, Radon Nikodym theorem and the strong law of large numbers are key tool. We shall consider more realistic case in the next project.

Free Research Field

統計ファイナンス

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Published: 2016-06-03  

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