{"title":"Two price economic equilibria and financial market bid/ask prices","authors":"Robert J. Elliott, Dilip B. Madan, Tak Kuen Siu","doi":"10.1007/s10436-020-00377-x","DOIUrl":null,"url":null,"abstract":"<div><p>Demand and supply uncertainty lead to a model of markets that set prices to acceptable risk levels for excess supplies and net revenues. The result is a two price partial equilibrium economy. The equilibrium solutions are applied to two price financial market data to infer demand and supply elasticities and log normal volatilities from market quotes on bid and ask prices. Demand elasticities are observed to be higher than supply elasticities as are the volatilities. Normalizing observed volatilities to the volatility of the daily traded volume a market implied duration of the economic equilibrium is inferred. The median level of duration is around a minute and half with an interquartile range from 37 s to 2 min. For larger orders, bid and ask prices may be constructed by calibrating the demand and supply volatilities.</p></div>","PeriodicalId":45289,"journal":{"name":"Annals of Finance","volume":"17 1","pages":"27 - 43"},"PeriodicalIF":0.8000,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10436-020-00377-x","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Finance","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s10436-020-00377-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
引用次数: 1
Abstract
Demand and supply uncertainty lead to a model of markets that set prices to acceptable risk levels for excess supplies and net revenues. The result is a two price partial equilibrium economy. The equilibrium solutions are applied to two price financial market data to infer demand and supply elasticities and log normal volatilities from market quotes on bid and ask prices. Demand elasticities are observed to be higher than supply elasticities as are the volatilities. Normalizing observed volatilities to the volatility of the daily traded volume a market implied duration of the economic equilibrium is inferred. The median level of duration is around a minute and half with an interquartile range from 37 s to 2 min. For larger orders, bid and ask prices may be constructed by calibrating the demand and supply volatilities.
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
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