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Barrier swaption pricing problem in uncertain financial market
Author(s) -
Liu Zhe,
Yang Ying
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6762
Subject(s) - swap (finance) , barrier option , economics , econometrics , finance
A barrier swaption gives its owner the right but not the obligation to enter into an underlying interest rate swap and only becomes activated (or extinguished) if the underlying reaches the given barrier. This paper discusses four types of barrier swaptions under the framework of uncertain finance theory, which are up‐and‐in payer swaption, down‐and‐in receiver swaption, up‐and‐out receiver swaption, and down‐and‐out payer swaption, and gives pricing formulae to calculate the price of corresponding barrier swaptions. Furthermore, corresponding numerical methods are presented when explicit solutions are unavailable. A numerical example is documented to illustrate our methods.