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.
机构:
Univ Coll Cork, Sch Math Sci, Cork, Ireland
Univ Negeri Padang, Fac Math & Nat Sci, Math Dept, Padang, IndonesiaUniv Coll Cork, Sch Math Sci, Cork, Ireland
机构:
Cent South Univ, Dept Math & Stat, Changsha 410075, Hunan, Peoples R China
Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Dept Math & Stat, Changsha 410075, Hunan, Peoples R China