Abstract
We study the smooth-pasting property for a class of conditional expectations with reflected Levy process as underlying state process. A relationship between local times and regulators for the doubly reflected Levy process is established. As applications, we derive the analytic pricing formula for a zero-coupon defaultable bond when the default intensity (resp. the stochastic loss rate) is modeled as one-sided (resp. double-sided) reflected Levy processes. Finally, some numerical illustrations are provided.
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