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Numerical Schemes for Variational Inequalities Arising in International Asset Pricing

Hodder, James E.; Tourin, Agnès; Zariphopoulou, Thaleia (2001), Numerical Schemes for Variational Inequalities Arising in International Asset Pricing, Computational Economics, 17, 1, p. 43-80. http://dx.doi.org/10.1023/A:1011278629862

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Type
Article accepté pour publication ou publié
Date
2001
Journal name
Computational Economics
Volume
17
Number
1
Publisher
Springer
Pages
43-80
Publication identifier
http://dx.doi.org/10.1023/A:1011278629862
Metadata
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Author(s)
Hodder, James E.
Tourin, Agnès
Zariphopoulou, Thaleia
Abstract (EN)
This paper introduces a valuation model of international pricing in the presence of political risk. Shipments between countries are charged with shipping costs and the country specific production processes are modelled as diffusion processes. The political risk is modelled as a continous time jump process that affects the drift of the returns in the politically unstable countries. The valuation model gives rise to a singular stochastic control problem that is analyzed numerically. The fundamental tools come from the theory of viscosity solutions of the associated Hamilton–Jacobi–Bellman equation which turns out to be a system of integral-differential Variational Inequalities with gradient constraints.
Subjects / Keywords
international asset pricing; political risk; shipping costs; variational inequalities; gradient constraints; viscosity solutions
JEL
D81 - Criteria for Decision-Making under Risk and Uncertainty
G12 - Asset Pricing; Trading Volume; Bond Interest Rates

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