On perpetual American put valuation and first-passage in a regime-switching model with jumps |
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Authors: | Zhengjun Jiang Martijn R Pistorius |
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Institution: | (1) Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, UK;(2) Present address: School of Finance, Nanjing University of Finance and Economics, Nanjing, 210046, China |
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Abstract: | In this paper we consider the problem of pricing a perpetual American put option in an exponential regime-switching Lévy model.
For the case of the (dense) class of phase-type jumps and finitely many regimes we derive an explicit expression for the value
function. The solution of the corresponding first-passage problem under a state-dependent level rests on a path transformation
and a new matrix Wiener–Hopf factorization result for this class of processes.
Research supported by the Nuffield Foundation, grant NAL/00761/G, and EPSRC grant EP/D039053/1. |
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Keywords: | American put option Matrix Wiener– Hopf factorization Phase-type Regime-switching First-passage problem |
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