Optimal Risk Sharing in Society PDF Download

Author: Knut K. Aase
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Patrick Bolton
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 57

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We study a dynamic-contracting problem involving risk sharing between two parties -- the Proposer and the Responder -- who invest in a risky asset until an exogenous but random termination time. In any time period they must invest all their wealth in the risky asset, but they can share the underlying investment and termination risk. When the project ends they consume their final accumulated wealth. The Proposer and the Responder have constant relative risk aversion R and r respectively, with R>r>0. We show that the optimal contract has three components: a non-contingent flow payment, a share in investment risk and a termination payment. We derive approximations for the optimal share in investment risk and the optimal termination payment, and we use numerical simulations to show that these approximations offer a close fit to the exact rules. The approximations take the form of a myopic benchmark plus a dynamic correction. In the case of the approximation for the optimal share in investment risk, the myopic benchmark is simply the classical formula for optimal risk sharing. This benchmark is endogenous because it depends on the wealths of the two parties. The dynamic correction is driven by counterparty risk. If both parties are fairly risk tolerant, in the sense that 2>R>r, then the Proposer takes on more risk than she would under the myopic benchmark. If both parties are fairly risk averse, in the sense that R>r>2, then the Proposer takes on less risk than she would under the myopic benchmark. In the mixed case, in which R>2>r, the Proposer takes on more risk when the Responder's share in total wealth is low and less risk when the Responder's share in total wealth is high. In the case of the approximation for the optimal termination payment, the myopic benchmark is zero. The dynamic correction tells us, among other things, that: (i) if the asset has a high return then, following termination, the Responder compensates the Proposer for the loss of a valu.

Author: Elyes Jouini
Publisher:
ISBN:
Category :
Languages : en
Pages : 28

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We consider the problem of optimal risk sharing of some given total risk between two economic agents characterized by law-invariant monetary utility functions or equivalently, law-invariant risk measures. We first prove existence of an optimal risk sharing allocation which is in addition increasing in terms of the total risk. We next provide an explicit characterization in the case where both agents' utility functions are comonotone. The general form of the optimal contracts turns out to be given by a sum of options (stop-loss contracts, in the language of insurance) on the total risk. In order to show the robustness of this type of contracts to more general utility functions, we introduce a new notion of strict risk aversion conditionally on lower tail events, which is typically satisfied by the semi-deviation and the entropic risk measures. Then, in the context of an AV@R-agent facing an agent with strict monotone preferences and exhibiting strict risk aversion conditional on lower tail events, we prove that optimal contracts again are European options on the total risk.

Author: Minouche Shafik
Publisher: Princeton University Press
ISBN: 069120764X
Category : Business & Economics
Languages : en
Pages : 256

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From one of the leading policy experts of our time, an urgent rethinking of how we can better support each other to thrive Whether we realize it or not, all of us participate in the social contract every day through mutual obligations among our family, community, place of work, and fellow citizens. Caring for others, paying taxes, and benefiting from public services define the social contract that supports and binds us together as a society. Today, however, our social contract has been broken by changing gender roles, technology, new models of work, aging, and the perils of climate change. Minouche Shafik takes us through stages of life we all experience—raising children, getting educated, falling ill, working, growing old—and shows how a reordering of our societies is possible. Drawing on evidence and examples from around the world, she shows how every country can provide citizens with the basics to have a decent life and be able to contribute to society. But we owe each other more than this. A more generous and inclusive society would also share more risks collectively and ask everyone to contribute for as long as they can so that everyone can fulfill their potential. What We Owe Each Other identifies the key elements of a better social contract that recognizes our interdependencies, supports and invests more in each other, and expects more of individuals in return. Powerful, hopeful, and thought-provoking, What We Owe Each Other provides practical solutions to current challenges and demonstrates how we can build a better society—together.

Author: Nicolas Ettlin
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Ezra Friedman
Publisher:
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Category : Risk management
Languages : en
Pages : 56

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Author: Truman Packard
Publisher: Human Development Perspectives
ISBN: 9781464814273
Category : Business & Economics
Languages : en
Pages : 0

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"This white paper focusses on the policy interventions made to help people manage risk, uncertainty and the losses from events whose impacts are channeled primarily through the labor market. The objectives of the white paper are: to scrutinize the relevance and effects of prevailing risk-sharing policies in low- and middle-income countries; take account of how global drivers of disruption shape and diversify how people work; in light of this diversity, propose alternative risk-sharing policies, or ways to augment and improve current policies to be more relevant and responsive to peoples' needs; and map a reasonable transition path from the current to an alternative policy approach that substantially extends protection to a greater portion of working people and their families. This white paper is a contribution to the broader, global discussion of the changing nature of work and how policy can shape its implications for the wellbeing of people. We use the term risk-sharing policies broadly in reference to the set of institutions, regulations and interventions that societies put in place to help households manage shocks to their livelihoods. These policies include formal rules and structures that regulate market interactions (worker protections and other labor market institutions) that help people pool risks (social assistance and social insurance), to save and insure affordably and effectively (mandatory and incentivized individual savings and other financial instruments) and to recover from losses in the wake of livelihood shocks ('active' reemployment measures). Effective risk-sharing policies are foundational to building equity, resilience and opportunity, the strategic objectives of the World Bank's Social Protection and Jobs Global Practice. Given failures of factor markets and the market for risk in particular the rationale for policy intervention to augment the options that people have to manage shocks to their livelihoods is well-understood and accepted. By helping to prevent vulnerable people from falling into poverty --and people in the poorest households from falling deeper into poverty-- effective risk-sharing interventions dramatically reduce poverty. Households and communities with access to effective risk-sharing instruments can better maintain and continue to invest in these vital assets, first and foremost, their human capital, and in doing so can reduce the likelihood that poverty and vulnerability will be transmitted from one generation to the next. Risk-sharing policies foster enterprise and development by ensuring that people can take appropriate risks required to grasp opportunities and secure their stake in a growing economy."--

Author: Weiying Zhang
Publisher: Routledge
ISBN: 1351330985
Category : Business & Economics
Languages : en
Pages : 406

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The progress of society can only happen through interpersonal cooperation, because only cooperation can bring about mutual benefit, thus bringing happiness to each person. This should be our collective rationality, but we often see it conflicts with individual interests, which leads to the so-called "Prisoners’ Dilemma" and does not bring happiness to all. From a game theoretical perspective, this book addresses the issue of how people can cooperate better. It has two objectives. The first is to use common language to systematically introduce the basic methodologies and core conclusions of Game Theory, including the Nash equilibrium, multiple equilibriums, dynamic games, etc. Mathematics and theoretical models are used to the minimum necessary scope too, to make this book get access to ordinary readers with elementary mathematical training. The second objective is to utilize these methods and conclusions to analyze various Chinese social issues and institutional arrangements, with a focus on the reasons people exhibit non-cooperative behaviors as well as the institutions and cultures that promote interpersonal cooperation. In addition to economics, specialists in sociology, law, history, politics and management will also be attracted by this book for its insightful analysis on the issue of cooperation in these fields. Also, readers curious about Chinese society will benefit from this book.

Author: National Bureau of Economic Research
Publisher: Princeton University Press
ISBN: 1400879760
Category : Political Science
Languages : en
Pages : 647

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The papers here range from description and analysis of how our political economy allocates its inventive effort, to studies of the decision making process in specific industrial laboratories. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author:
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Category :
Languages : en
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This paper examines qualitative properties of efficient insurance contracts in the presence of background risk. In order to get results for all strictly risk-averse expected utility maximizers, the concept of "stochastic increasingness" is used. Different assumptions on the stochastic dependence between the insurable and uninsurable risk lead to different qualitative properties of the efficient contracts. The new results obtained under hypotheses of dependent risks are compared to classical results in the absence of background risk or to the case of independent risks. The theory is further generalized to nonexpected utility maximizers.