The Basis Goes Stochastic: A Jump-Diffusion Model for Financial Risk Applications
18 Pages Posted: 24 Aug 2016 Last revised: 26 Aug 2016
Date Written: August 25, 2016
There are several pricing and risk model applications where the assumption of a deterministic LIBOR-OIS basis can lead to severe mispricing. By modeling such a basis using a jump-diffusion process, we show how stochastic basis can impact the valuation of specific deals such as zero-coupon swaps, as well as credit valuation adjustments and gap risk in particular. Explicit formulas are provided and numerical examples showcased.
Keywords: LIBOR-OIS basis, jump-diffusion dynamics, zero-coupon swap, swap gap risk
JEL Classification: G10; G12; G18; C60
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