Solving the Equity Premium Puzzle by Unifying Economics and Finance

Didier Vanoverberghe
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Abstract

The Equity risk-premium and volatility puzzle - is it possible to have a high equity premium and a low risk-free rate with a plausible risk aversion- have received a great deal of attention but beyond this question, the fundamental issues of that puzzle are the followings: what are the economic representations that can provide such results? What are the relevant links between finance and economics? And what should be the consequences for economic decisions makers?

The classic ways to model the financial economy with a representative agent placed in a Lucas tree model, i.e. maximizing consumption-based utility, where fruit is equivalent to dividend and consumption, failed to explain a high equity premium and a low risk free rate. Even more, simple changes in reasoning failed to provide a consistent macroeconomic and finance representation that sticks to reality.

This paper presents a new eco-financial approach based on three major changes: the definition of Wealth and wealth increment and their utility for any agent instead of consumption, a permanent change of equilibrium theory, a more realistic model in which the agents fear much more crises than ordinary fluctuations.

This model borrows two key principles from the model developed in Modigliani and Miller’s seminal papers: firstly an economy with investment opportunities in the market of goods and services and secondly an economy where rational agents always prefer more wealth to less and are indifferent as to whether a given increment to their wealth takes the form of dividend or growth in value .Main changes come from, we generalized this wealth approach to any agent, in a changing of equilibrium world, where crises are much more dreaded than ordinary negative events.

We will show that it is a way to solve the equity premium and to make consistent: macro, micro, finance and reality.
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统一经济学与金融学解决股权溢价之谜
股票风险溢价和波动性之谜——在合理的风险厌恶情绪下,是否可能同时拥有高股票溢价和低无风险利率——受到了广泛关注,但除了这个问题之外,这个谜题的基本问题如下:能够提供这种结果的经济表征是什么?金融与经济学之间的相关联系是什么?对经济决策者来说,后果又该如何呢?经典的金融经济建模方法将代表性主体置于卢卡斯树模型中,即基于消费的效用最大化,其中水果相当于股息和消费,无法解释高股权溢价和低无风险率。更重要的是,在推理上的简单改变未能提供一个符合现实的一致的宏观经济和金融表述。本文提出了一种基于三个主要变化的新的生态金融方法:财富和财富增量的定义及其对任何代理人的效用,而不是消费,均衡理论的永久变化,一个更现实的模型,其中代理人害怕更多的危机而不是普通的波动。该模型借鉴了莫迪利亚尼和米勒开创性论文中提出的两个关键原则:首先是一个在商品和服务市场上有投资机会的经济体,其次是一个理性代理人总是喜欢更多的财富而不是更少的经济,并且对于给定的财富增量是否采取股息或价值增长的形式漠不关心。主要变化来自,我们将这种财富方法推广到任何代理人,在一个不断变化的均衡世界中,危机比普通的负面事件更可怕。我们将表明,这是解决股权溢价的一种方式,并使宏观,微观,金融和现实相一致。
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