Pricing of LIBOR futures by martingale method in Cox-Ingersoll-Ross model

被引:0
|
作者
Ping Li
Peng Shi
Guangdong Huang
Xiaojun Shi
机构
[1] BeiHang University,School of Information Engineering
[2] Northern Illinois University,undefined
[3] China Geosciences University,undefined
[4] BeiHang University,undefined
关键词
Cox-Ingersoll-Ross model; futures pricing; LIBOR futures; martingale;
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学科分类号
摘要
This paper considers the pricing of LIBOR futures in the Cox-Ingersoll-Ross (CIR) model under Pozdnyakov and Steele (2004)’s martingale framework for futures prices. Under the CIR model for short term interest rate, we prove that there exists a unique futures price process associated with the terminal value and the standard financial market, and that this unique futures price process has a martingale representation. Moreover, a general closed-form pricing formula for LIBOR futures contracts is obtained in the CIR model.
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页码:261 / 269
页数:8
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