{"title":"关于封闭经济中的实际利率","authors":"Dilip B. Madan, King Wang","doi":"10.1007/s10436-024-00451-8","DOIUrl":null,"url":null,"abstract":"<div><p>It is argued that socially optimal real rates of interest cannot be positive in a stationary state. Most economies approximating a stationary state have real rates of interest depending on the interplay between utility and production functions and the structure of the exact social objective function being maximized. The objective studied here maximizes a probability distorted expectation of the sum of undiscounted utilities. The utility functions studied display constant and declining relative risk aversion coefficients. The production functions are Cobb–Douglas, asymptotically linear versions of the same and those with a declining elasticity of the marginal productivity of capital. It is observed that declining relative risk aversion utilities coupled with asymptotically linear Cobb–Douglas type production functions can deliver real rates observed in the US economy over the period January 2010, to December 2023. An analysis of income inequality considerations shows that for the economies studied there is a positive relationship between the real return on capital and the share of capital income in total income. These results support the thesis advanced by as reported by Piketty (Capital in the Twenty First Century. Harvard Business School, Cambridge, 2014)</p></div>","PeriodicalId":45289,"journal":{"name":"Annals of Finance","volume":"20 4","pages":"459 - 477"},"PeriodicalIF":0.8000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the real rate of interest in a closed economy\",\"authors\":\"Dilip B. Madan, King Wang\",\"doi\":\"10.1007/s10436-024-00451-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>It is argued that socially optimal real rates of interest cannot be positive in a stationary state. Most economies approximating a stationary state have real rates of interest depending on the interplay between utility and production functions and the structure of the exact social objective function being maximized. The objective studied here maximizes a probability distorted expectation of the sum of undiscounted utilities. The utility functions studied display constant and declining relative risk aversion coefficients. The production functions are Cobb–Douglas, asymptotically linear versions of the same and those with a declining elasticity of the marginal productivity of capital. It is observed that declining relative risk aversion utilities coupled with asymptotically linear Cobb–Douglas type production functions can deliver real rates observed in the US economy over the period January 2010, to December 2023. An analysis of income inequality considerations shows that for the economies studied there is a positive relationship between the real return on capital and the share of capital income in total income. These results support the thesis advanced by as reported by Piketty (Capital in the Twenty First Century. Harvard Business School, Cambridge, 2014)</p></div>\",\"PeriodicalId\":45289,\"journal\":{\"name\":\"Annals of Finance\",\"volume\":\"20 4\",\"pages\":\"459 - 477\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10436-024-00451-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"BUSINESS, FINANCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Finance","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s10436-024-00451-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
It is argued that socially optimal real rates of interest cannot be positive in a stationary state. Most economies approximating a stationary state have real rates of interest depending on the interplay between utility and production functions and the structure of the exact social objective function being maximized. The objective studied here maximizes a probability distorted expectation of the sum of undiscounted utilities. The utility functions studied display constant and declining relative risk aversion coefficients. The production functions are Cobb–Douglas, asymptotically linear versions of the same and those with a declining elasticity of the marginal productivity of capital. It is observed that declining relative risk aversion utilities coupled with asymptotically linear Cobb–Douglas type production functions can deliver real rates observed in the US economy over the period January 2010, to December 2023. An analysis of income inequality considerations shows that for the economies studied there is a positive relationship between the real return on capital and the share of capital income in total income. These results support the thesis advanced by as reported by Piketty (Capital in the Twenty First Century. Harvard Business School, Cambridge, 2014)
期刊介绍:
Annals of Finance provides an outlet for original research in all areas of finance and its applications to other disciplines having a clear and substantive link to the general theme of finance. In particular, innovative research papers of moderate length of the highest quality in all scientific areas that are motivated by the analysis of financial problems will be considered. Annals of Finance''s scope encompasses - but is not limited to - the following areas: accounting and finance, asset pricing, banking and finance, capital markets and finance, computational finance, corporate finance, derivatives, dynamical and chaotic systems in finance, economics and finance, empirical finance, experimental finance, finance and the theory of the firm, financial econometrics, financial institutions, mathematical finance, money and finance, portfolio analysis, regulation, stochastic analysis and finance, stock market analysis, systemic risk and financial stability. Annals of Finance also publishes special issues on any topic in finance and its applications of current interest. A small section, entitled finance notes, will be devoted solely to publishing short articles – up to ten pages in length, of substantial interest in finance. Officially cited as: Ann Finance