Article ID Journal Published Year Pages File Type
5103511 Physica A: Statistical Mechanics and its Applications 2017 9 Pages PDF
Abstract
In this paper, we consider the pricing of credit default swaps (CDSs) with the reference asset driven by a geometric Brownian motion with a multi-scale stochastic volatility (SV), which is a two-factor volatility process with one factor controlling the fast time scale and the other representing the slow time scale. A key feature of the current methodology is to establish an equivalence relationship between the CDS and the down-and-out binary option through the discussion of “no default” probability, while balancing the two SV processes with the perturbation method. An approximate but closed-form pricing formula for the CDS contract is finally obtained, whose accuracy is in the order of O(ϵ+δ+ϵδ).
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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