On the Perpetual American Put Options for Level Dependent Volatility Models with Jumps
Optimization and Control
2009-01-21 v9 Pricing of Securities
Abstract
We prove that the perpetual American put option price of level dependent volatility model with compound Poisson jumps is convex and is the classical solution of its associated quasi-variational inequality, that it is except at the stopping boundary and that it is everywhere (i.e. the smooth pasting condition always holds).
Keywords
Cite
@article{arxiv.math/0703538,
title = {On the Perpetual American Put Options for Level Dependent Volatility Models with Jumps},
author = {Erhan Bayraktar},
journal= {arXiv preprint arXiv:math/0703538},
year = {2009}
}