Numerical Schemes for Variational Inequalities Arising in International Asset Pricing

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 continuous time jump...

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Veröffentlicht in:Computational economics 2001-02, Vol.17 (1), p.43-80
Hauptverfasser: Hodder, James E, Zariphopoulou, Thaleia, Tourin, Agnes
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Zariphopoulou, Thaleia
Tourin, Agnes
description 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 continuous 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. Copyright 2001 by Kluwer Academic Publishers
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subjects Asset valuation
Assets
Consumption
Costs
Economic models
Finance
Foreign exchange rates
International trade
Market prices
Mathematical models
Partial differential equations
Political risk
Political stability
Politics
Price ceilings
Pricing
Purchasing power parity
Regulation
Risk
Shipping
Statistical analysis
Studies
Tax rates
Transport costs
Viscosity
title Numerical Schemes for Variational Inequalities Arising in International Asset Pricing
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