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Lecture

Risk Aversion and Utility Functions

In course

FIN-406: Macrofinance

This course provides students with a working knowledge of macroeconomic models that explicitly incorporate financial markets. The goal is to develop a broad and analytical framework for analyzing the interaction of financial decisions, macroeconomic events ...

Description

This lecture covers the concept of risk aversion and utility functions, focusing on the constant relative risk aversion (CRRA) class of utility functions. It explains how high risk aversion coefficients lead to small consumption responses to price changes and discusses the Arrow-Pratt coefficient of relative risk aversion. The lecture also delves into the implications of risk neutrality and the equilibrium in consumption-based models. Additionally, it provides insights into the interaction of financial decisions, macroeconomic events, and policy decisions within the context of macrofinance.

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Instructors (3)

Luisa Lambertini

Luisa Lambertini is Full Professor at the Ecole Polytechnique Federale de Lausanne (EPFL), where she holds the Chair of International Finance. She received her Ph.D. in Economics from the University of California at Berkeley in 1995, her Master of Science in Economics from Warwick University in 1989 and a Laurea cum Laude from the Universita' degli Studi di Bologna in 1987. Prior to coming to EPFL, Professor Lambertini was Associate Professor at Claremont McKenna College 2005-06, Associate Professor at Boston College 2003-06 and Assistant Professor at the University of California at Los Angeles 1995-03. Professor Lambertini's research is in international finance, open-economy macroeconomics and political economy. She studies how monetary and fiscal policies affect the economy, how they interact and how they can be used to achieve good economic outcomes and improve social welfare. Professor Lambertini's research focuses on how monetary and fiscal institutions should be designed to successfully mitigate the impact of unexpected shocks while pursuing long-run goals consistent with price stability and fiscal sustainability. These issues are even more important for small open economies in an interdependent world and for countries that adopt a common currency. Professor Lambertini has published articles in the American Economic Review, the Review of Economic Studies, the European Economic Review, the Journal of International Economics and the Economic Journal, among others. She was a Consultant in the Fiscal Policies Division of the European Central Bank and she has organized several international conferences. More details on my CV

Christian Pröbsting

Stylianos Tsiaras

I am a scientific collaborator at the Luisa Lambertini's Chair of International Finance at the Swiss Finance Inst i tute. Previously I was a Max Weber Fellow at the European University Institute. I got my PhD in economics at the University of Surrey. My thesis was supervised by Professor Martin Kaae Jensen and Dr. Tom Holden. My recent research explores the set of unconventional monetary policies by the European Central Bank and their impact on the macroeconomy, welfare and inequality.

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Related concepts (32)

Risk aversion

In economics and finance, risk aversion is the tendency of people to prefer outcomes with low uncertainty to those outcomes with high uncertainty, even if the average outcome of the latter is equal to or higher in monetary value than the more certain outcome. Risk aversion explains the inclination to agree to a situation with a more predictable, but possibly lower payoff, rather than another situation with a highly unpredictable, but possibly higher payoff.

Isoelastic utility

In economics, the isoelastic function for utility, also known as the isoelastic utility function, or power utility function, is used to express utility in terms of consumption or some other economic variable that a decision-maker is concerned with. The isoelastic utility function is a special case of hyperbolic absolute risk aversion and at the same time is the only class of utility functions with constant relative risk aversion, which is why it is also called the CRRA utility function.

Week

A week is a unit of time equal to seven days. It is the standard time period used for short cycles of days in most parts of the world. The days are often used to indicate common work days and rest days, as well as days of worship. Weeks are often mapped against yearly calendars, but are typically not the basis for them, as weeks are not based on astronomy. The modern seven-day week can be traced back to the Babylonians, who used it within their calendar.

Loss aversion

Loss aversion is a psychological and economic concept which refers to how outcomes are interpreted as gains and losses where losses are subject to more sensitivity in people's responses compared to equivalent gains acquired. Kahneman and Tversky (1992) have suggested that losses can be twice as powerful, psychologically, as gains. When defined in terms of the utility function shape as in the Cumulative Prospect Theory (CPT), losses have a steeper utility than gains, thus being more "painful" than the satisfaction from a comparable gain as shown in Figure 1.

Utility

As a topic of economics, utility is used to model worth or value. Its usage has evolved significantly over time. The term was introduced initially as a measure of pleasure or happiness as part of the theory of utilitarianism by moral philosophers such as Jeremy Bentham and John Stuart Mill. The term has been adapted and reapplied within neoclassical economics, which dominates modern economic theory, as a utility function that represents a consumer's ordinal preferences over a choice set, but is not necessarily comparable across consumers or possessing a cardinal interpretation.

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