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The paper studies a system of Hamilton-Jacobi equations, arising from a stochastic optimal debt management problem in an infinite time horizon with exponential discount, modeled as a noncooperative interaction between a borrower and a pool…

Optimization and Control · Mathematics 2019-10-29 Rossana Capuani , Steven Gilmore , Khai T. Nguyen

Consider the problem of a government that wants to reduce the debt-to-GDP (gross domestic product) ratio of a country. The government aims at choosing a debt reduction policy which minimises the total expected cost of having debt, plus the…

Optimization and Control · Mathematics 2017-12-29 Giorgio Ferrari

A problem of optimal debt management is modeled as a noncooperative game between a borrower and a pool of lenders, in infinite time horizon with exponential discount. The yearly income of the borrower is governed by a stochastic process.…

Optimization and Control · Mathematics 2016-09-26 Alberto Bressan , Antonio Marigonda , Khai T. Nguyen , Michele Palladino

Possible solution of problem of sovereign debts is suggested. At the current moment this solution still can be provided only by methods of the world monetary policy.

General Finance · Quantitative Finance 2013-06-11 T. S. Kholupenko , E. E. Kholupenko , P. A. Guseva

We consider a government that aims at reducing the debt-to-gross domestic product (GDP) ratio of a country. The government observes the level of the debt-to-GDP ratio and an indicator of the state of the economy, but does not directly…

Optimization and Control · Mathematics 2019-01-29 Giorgia Callegaro , Claudia Ceci , Giorgio Ferrari

We discuss a class of debt management problems in a stochastic environment model. We propose a model for the debt-to-GDP (Gross Domestic Product) ratio where the government interventions via fiscal policies affect the public debt and the…

General Economics · Economics 2021-07-23 Matteo Brachetta , Claudia Ceci

In a dynamic economy, we characterize the fiscal policy of the government when it levies distortionary taxes and issues defaultable bonds to finance its stochastic expenditure. Default may occur in equilibrium as it prevents the government…

Economics · Quantitative Finance 2016-05-10 Demian Pouzo , Ignacio Presno

Public debt is one of the important economic variables that quantitatively describes a nation's economy. Because bankruptcy is a risk faced even by institutions as large as governments (e.g. Iceland), national debt should be strictly…

General Finance · Quantitative Finance 2010-06-04 Alexander M. Petersen , Boris Podobnik , Davor Horvatic , H. Eugene Stanley

We study the effects on economic activity of a pure temporary change in government debt and the relationship between the debt multiplier and the level of debt in an overlapping generations framework. The debt multiplier is positive but…

General Economics · Economics 2022-12-05 Alice Albonico , Guido Ascari , Alessandro Gobbi

We present an elementary analysis of the dynamical aspects of the GDP / government surplus multiplier with relevance to the assessment of a country's debt repayment policy. We show the (at first) counter intuitive result that in order to…

General Finance · Quantitative Finance 2013-10-14 Evangelos F. Magirou

We solve an infinite time-horizon bounded-variation stochastic control problem with regime switching between $N$ states. This is motivated by the problem of a government that wants to control the country's debt-to-GDP (gross domestic…

Optimization and Control · Mathematics 2019-12-10 Giorgio Ferrari , Neofytos Rodosthenous

Do governments adjust budgetary policy to rising public debt, precluding fiscal unsustainability? Using budget data for 52 industrial and emerging economies since 1990, we apply panel methods accounting for cross-sectional dependence and…

General Economics · Economics 2025-07-18 Paolo Canofari , Alessandro Piergallini , Marco Tedeschi

An important issue within the present economic crisis is understanding the dynamics of the public debt of a given country, and how the behavior of average consumers and tax payers in that country affects it. Starting from a model of the…

Economics · Quantitative Finance 2017-06-28 Roberto De Luca , Marco Di Mauro , Angelo Falzarano , Adele Naddeo

During the last two years, Europe has been facing a debt crisis, and Greece has been at its center. In response to the crisis, drastic actions have been taken, including the halving of Greek debt. Policy makers acted because interest rates…

General Finance · Quantitative Finance 2012-10-01 Marco Lagi , Yaneer Bar-Yam

We analyze the problem of optimal reduction of the debt-to-GDP ratio in a stochastic control setting. The debt-to-GDP dynamics are modeled through a stochastic differential equation in which fiscal policy simultaneously affects both debt…

General Economics · Economics 2025-12-18 Claudia Ceci , Luca Semerari

We introduce a non-zero-sum game between a government and a legislative body to study the optimal level of debt. Each player, with different time preferences, can intervene on the stochastic dynamics of the debt-to-GDP ratio via singular…

Optimization and Control · Mathematics 2024-11-05 Felix Dammann , Neofytos Rodosthenous , Stéphane Villeneuve

Recently, there has been a growing interest in network research, especially in these fields of biology, computer science, and sociology. It is natural to address complex financial issues such as the European sovereign debt crisis from the…

Risk Management · Quantitative Finance 2015-06-15 Hongwei Chuang , Hwai-Chung Ho

We explore the interplay between sovereign debt default/renegotiation and environmental factors (e.g., pollution from land use, natural resource exploitation). Pollution contributes to the likelihood of natural disasters and influences…

General Economics · Economics 2025-01-22 Emilio Barucci , Daniele Marazzina , Aldo Nassigh

With negative growth in real production in many countries and debt levels which become an increasing burden on developed societies, the calls for a change in economic policy and even the monetary system become louder and increasingly…

General Finance · Quantitative Finance 2012-06-08 Andreas Hula

We study the relationship between foreign debt and GDP growth using a panel dataset of 50 countries from 1997 to 2015. We find that economic growth correlates positively with foreign debt and that the relationship is causal in nature by…

General Economics · Economics 2022-11-08 Tomoo Kikuchi , Satoshi Tobe
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