{"title":"Dynamically complete markets under Brownian motion","authors":"Theodoros M. Diasakos","doi":"10.1007/s11579-021-00294-1","DOIUrl":"https://doi.org/10.1007/s11579-021-00294-1","url":null,"abstract":"<p>This paper investigates how continuous-time trading renders complete a financial market in which the underlying risk process is a Brownian motion. A sufficient condition, that the instantaneous dispersion matrix of the relative dividends is non-degenerate, has been established in the literature for single-commodity, pure-exchange economies with many heterogenous agents where the securities’ dividends as well as the agents’ utilities and endowments include flows during the trading horizon which are analytic functions. In sharp contrast, the present analysis is based upon a different mathematical argument that assumes neither analyticity nor a particular underlying economic environment. The novelty of our approach lies in deriving closed-form expressions for the dispersion coefficients of the securities’ prices. To this end, we assume only that the pricing kernels and dividends satisfy standard growth and smoothness restrictions (mild enough to allow even for options). In this sense, our sufficiency conditions apply irrespectively of preferences, endowments or other structural elements (for instance, whether or not the budget constraints include only pure exchange).</p>","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"3 1-2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2021-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138507916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffusion bank networks and capital flows","authors":"Ioannis Leventidis, E. Melas","doi":"10.1007/s11579-021-00297-y","DOIUrl":"https://doi.org/10.1007/s11579-021-00297-y","url":null,"abstract":"","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"46 1","pages":"811 - 845"},"PeriodicalIF":1.6,"publicationDate":"2021-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80074960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Utility maximization in a multidimensional semimartingale model with nonlinear wealth dynamics","authors":"Mauricio Junca, Rafael Serrano","doi":"10.1007/s11579-021-00296-z","DOIUrl":"https://doi.org/10.1007/s11579-021-00296-z","url":null,"abstract":"","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"596 1","pages":"775 - 809"},"PeriodicalIF":1.6,"publicationDate":"2021-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77238826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the market price of risk","authors":"R. M. Korkie, H. Turtle","doi":"10.1007/s11579-021-00293-2","DOIUrl":"https://doi.org/10.1007/s11579-021-00293-2","url":null,"abstract":"","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"29 1","pages":"675 - 718"},"PeriodicalIF":1.6,"publicationDate":"2021-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81028421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Connectedness versus diversification: two sides of the same coin","authors":"M. Torrente, P. Uberti","doi":"10.1007/s11579-021-00291-4","DOIUrl":"https://doi.org/10.1007/s11579-021-00291-4","url":null,"abstract":"","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"30 1","pages":"639 - 655"},"PeriodicalIF":1.6,"publicationDate":"2021-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90104824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Climate change adaptation under heterogeneous beliefs","authors":"Marcel Nutz, Florian Stebegg","doi":"10.2139/ssrn.3770442","DOIUrl":"https://doi.org/10.2139/ssrn.3770442","url":null,"abstract":"We study strategic interactions between firms with heterogeneous beliefs about future climate impacts. To that end, we propose a Cournot-type equilibrium model where firms choose mitigation efforts and production quantities such as to maximize the expected profits under their subjective beliefs. It is shown that optimal mitigation efforts are increased by the presence of uncertainty and act as substitutes; i.e., one firm’s lack of mitigation incentivizes others to act more decidedly, and vice versa.","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"27 1","pages":"481 - 508"},"PeriodicalIF":1.6,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81825674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Forward price and fitting of electricity Nord Pool market under regime-switching two-factor model","authors":"F. Mehrdoust, Idin Noorani","doi":"10.1007/s11579-020-00287-6","DOIUrl":"https://doi.org/10.1007/s11579-020-00287-6","url":null,"abstract":"","PeriodicalId":48722,"journal":{"name":"Mathematics and Financial Economics","volume":"82 12","pages":"501 - 543"},"PeriodicalIF":1.6,"publicationDate":"2021-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11579-020-00287-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72453857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}