Valuation of CMS Spread Options with Nonzero Strike Rates in the LIBOR Market Model

2011 ◽  
pp. 110812220354001
Author(s):  
Ting-Pin Wu ◽  
Son-Nan Chen
2010 ◽  
Vol 13 (01) ◽  
pp. 45-62 ◽  
Author(s):  
DENIS BELOMESTNY ◽  
ANASTASIA KOLODKO ◽  
JOHN SCHOENMAKERS

We present two approximation methods for the pricing of CMS spread options in Libor market models. Both approaches are based on approximating the underlying swap rates with lognormal processes under suitable measures. The first method is derived straightforwardly from the Libor market model. The second one uses a convexity adjustment technique under a linear swap model assumption. A numerical study demonstrates that both methods provide satisfactory approximations of spread option prices and can be used for calibration of a Libor market model to the CMS spread option market.


Author(s):  
Christopher Beveridge ◽  
Nick Denson ◽  
Mark S. Joshi

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