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第23讲-共同基金定理和协方差定价定理

Lecture 23 - The Mutual Fund Theorem and Covariance Pricing Theorems
课程网址: https://videolectures.net/yalemecon251f09_geanakoplos_lec23/  
主讲教师: John Geanakoplos
开课单位: 耶鲁大学
开课时间: 2012-03-17
课程语种: 英语
中文简介:
本讲座继续分析资本资产定价模型,得出两个关键结果。托宾证明的共同基金定理描述了经济中代理人的最优投资组合。事实证明,每个投资者都应该努力最大限度地提高其投资组合的夏普比率,这是通过将银行资金和投资于所有现有资产的“市场”篮子中的资金相结合来实现的。市场篮子可以被认为是一个巨大的指数基金或共同基金。这个定理精确地定义了最优多样化。这导致了像Vanguard这样的共同基金的非凡增长。CAPM的第二个关键结果被称为协方差定价定理,因为它表明资产的价格应该是其贴现的预期收益减去其与市场的协方差的倍数。因此,资产的风险是通过其与市场的协方差来衡量的,而不是通过其方差来衡量的。最后,我们对第一节课上提出的一个难题给出了令人震惊的答案,即一家大型工业公司和一家风险制药初创公司的相对估值。
课程简介: This lecture continues the analysis of the Capital Asset Pricing Model, building up to two key results. One, the Mutual Fund Theorem proved by Tobin, describes the optimal portfolios for agents in the economy. It turns out that every investor should try to maximize the Sharpe ratio of his portfolio, and this is achieved by a combination of money in the bank and money invested in the "market" basket of all existing assets. The market basket can be thought of as one giant index fund or mutual fund. This theorem precisely defines optimal diversification. It led to the extraordinary growth of mutual funds like Vanguard. The second key result of CAPM is called the covariance pricing theorem because it shows that the price of an asset should be its discounted expected payoff less a multiple of its covariance with the market. The riskiness of an asset is therefore measured by its covariance with the market, rather than by its variance. We conclude with the shocking answer to a puzzle posed during the first class, about the relative valuations of a large industrial firm and a risky pharmaceutical start-up.
关 键 词: 共同基金定理; 协方差; 定价定理
课程来源: 视频讲座网
数据采集: 2023-11-17:liyq
最后编审: 2023-11-17:liyq
阅读次数: 23