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Fractional Brownian Motion을 이용한 이자율 모형

Authors
이준희
Issue Date
2008
Publisher
한국재무관리학회
Keywords
Fractional Brownian Motion; Wick-Integral; HJM; Affine and Quadratic Model; Fractional Brownian Motion; Wick-Integral; HJM; Affine 모형; Quadratic 모형
Citation
재무관리연구, v.25, no.1, pp.85 - 108
Journal Title
재무관리연구
Volume
25
Number
1
Start Page
85
End Page
108
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/17468
ISSN
1225-0759
Abstract
본 연구는 Bender(2003), Duncan et al.(2000)등의 Wick 적분을 이용하여, fBm을 이자율모형의 불확실성으로 사용하였다. Affine 모형에 대표적인 CIR, Hull and White 모형, Quadratic 모형, 그리고 HJM 모형에 차례로 적용한 결과 이론적으로 새로운 결과를 얻었으며, 특히 새로운 확률측도(probability measure)를 정의하여, 할인채권의 옵션가격을 제시하였다.
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