Sovereign Debt Contract and Optimal Consumption-Investment Strategies
We present a model in which a sovereign country optimally decides on its consumption and investment policies as well as on the optimal time to default. In the paper we allow the sovereign borrower to keep the fraction of its augmented wealth in so-called international reserves. We further assume that these reserves can be deposited at the risk-free rate. In this framework, we obtain analytical solutions for optimal consumption and investment rules, as well as formulas for optimal default boundary and the value of the risky loan. In the paper we assume that in the case of default the lender can impose economic and political sanctions against the borrower and also can seize an implicit collateral. We show that when the country is getting very close to its default wealth level, then its relative risk aversion decreases and the country increases its consumption rate and the risky investment fraction at the expense of available liquid reserves.
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- Merton, Robert C., 1971.
"Optimum consumption and portfolio rules in a continuous-time model,"
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- R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
- Merton, Robert C., 1973.
"On the pricing of corporate debt: the risk structure of interest rates,"
684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-70, May.
- Chang, G. & Sundaresan, S.M., 1999. "Asset Prices and Default-Free Term Structure in an Equilibrium Model of Default," Papers 99-4, Columbia - Graduate School of Business.
- Eaton, Jonathan & Gersovitz, Mark, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," Review of Economic Studies, Wiley Blackwell, vol. 48(2), pages 289-309, April.
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