Bilateral Risk Sharing with No Aggregate Uncertainty under Rank-Dependent Utility

2020 ◽  
Author(s):  
Tim J. Boonen ◽  
Mario Ghossoub
Keyword(s):  
Risk Sharing ◽  
Aggregate Uncertainty ◽  
Rank Dependent Utility

scholarly journals BILATERAL RISK SHARING WITH HETEROGENEOUS BELIEFS AND EXPOSURE CONSTRAINTS

2020 ◽  
Vol 50 (1) ◽  
pp. 293-323 ◽  
Author(s):  
Tim J. Boonen ◽  
Mario Ghossoub
Keyword(s):  
Risk Sharing ◽  
Decomposition Theorem ◽  
The Other ◽  
Monotone Functions ◽  
Rank Dependent Utility ◽  
Belief Heterogeneity ◽  
Participation Constraint ◽  
Utility Preferences ◽  
Optimal Risk Sharing

AbstractThis paper studies bilateral risk sharing under no aggregate uncertainty, where one agent has Expected-Utility preferences and the other agent has Rank-dependent utility preferences with a general probability distortion function. We impose exogenous constraints on the risk exposure for both agents, and we allow for any type or level of belief heterogeneity. We show that Pareto-optimal risk-sharing contracts can be obtained via a constrained utility maximization under a participation constraint of the other agent. This allows us to give an explicit characterization of optimal risk-sharing contracts. In particular, we show that an optimal risk-sharing contract contains allocations that are monotone functions of the likelihood ratio, where the latter is obtained from Lebesgue’s Decomposition Theorem.

Protecting All: Risk Sharing for a Diverse and Diversifying World of Work

2019 ◽  
Author(s):  
Truman Packard ◽  
Ugo Gentilini ◽  
Margaret Grosh ◽  
Philip O’Keefe ◽  
Robert Palacios ◽  
...  
Keyword(s):  
Risk Sharing

Lending to the Borrower from Hell

2017 ◽  
Author(s):  
Mauricio Drelichman ◽  
Hans-Joachim Voth
Keyword(s):  
United States ◽  
Sixteenth Century ◽  
Sovereign Debt ◽  
Risk Sharing ◽  
The United States ◽  
Philip Ii ◽  
Loan Contracts ◽  
The Right ◽  
Intelligent Model ◽  
New Evidence

Why do lenders time and again loan money to sovereign borrowers who promptly go bankrupt? When can this type of lending work? As the United States and many European nations struggle with mountains of debt, historical precedents can offer valuable insights. This book looks at one famous case—the debts and defaults of Philip II of Spain. Ruling over one of the largest and most powerful empires in history, King Philip defaulted four times. Yet he never lost access to capital markets and could borrow again within a year or two of each default. Exploring the shrewd reasoning of the lenders who continued to offer money, the book analyzes the lessons from this historical example. Using detailed new evidence collected from sixteenth-century archives, the book examines the incentives and returns of lenders. It provides powerful evidence that in the right situations, lenders not only survive despite defaults—they thrive. It also demonstrates that debt markets cope well, despite massive fluctuations in expenditure and revenue, when lending functions like insurance. The book unearths unique sixteenth-century loan contracts that offered highly effective risk sharing between the king and his lenders, with payment obligations reduced in bad times. A fascinating story of finance and empire, this book offers an intelligent model for keeping economies safe in times of sovereign debt crises and defaults.

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