PRICING OF LIBOR FUTURES BY MARTINGALE METHOD IN COX-INGERSOLL-ROSS MODEL
被引:0
作者:
Ping LI BeiHang UniversityBeijing ChinaPeng SHI Northern Illinois UniversityIllinois USA Guangdong HUANG School of Information EngineeringChina Geosciences UniversityBeijing China Xiaojun SHI BeiHang UniversityBeijing China
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Ping LI BeiHang UniversityBeijing ChinaPeng SHI Northern Illinois UniversityIllinois USA Guangdong HUANG School of Information EngineeringChina Geosciences UniversityBeijing China Xiaojun SHI BeiHang UniversityBeijing China
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<正> This paper considers the pricing of LIBOR futures in the Cox-Ingersoll-Ross(CIR)modelunder Pozdnyakov and Steele(2004)'s martingale framework for futures prices.Under the CIR modelfor short term interest rate,we prove that there exists a unique futures price process associated withthe terminal value and the standard financial market,and that this unique futures price process has amartingale representation.Moreover,a general closed-form pricing formula for LIBOR futures contractsis obtained in the CIR model.