{"title":"货币收益(和损失)的效用函数满足弗里德曼-萨维奇假设","authors":"S. Lahiri","doi":"10.14505/jmef.v8.1(14).02","DOIUrl":null,"url":null,"abstract":"\n \n \nIn this note we provide a closed form utility function for gains that is S-shaped around the origin and satisfies the Friedman-Savage hypothesis. We obtain the corresponding Arrow–Pratt measure of absolute risk aversion (ARA) as well as Arrow–Pratt measure of relative risk aversion (RRA) for it. \n \n \n","PeriodicalId":367341,"journal":{"name":"Journal of Mathematical Economics and Finance","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Utility function for monetary gains (and losses) satisfying Friedman-Savage hypothesis\",\"authors\":\"S. Lahiri\",\"doi\":\"10.14505/jmef.v8.1(14).02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n \\n \\nIn this note we provide a closed form utility function for gains that is S-shaped around the origin and satisfies the Friedman-Savage hypothesis. We obtain the corresponding Arrow–Pratt measure of absolute risk aversion (ARA) as well as Arrow–Pratt measure of relative risk aversion (RRA) for it. \\n \\n \\n\",\"PeriodicalId\":367341,\"journal\":{\"name\":\"Journal of Mathematical Economics and Finance\",\"volume\":\"63 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Economics and Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14505/jmef.v8.1(14).02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics and Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14505/jmef.v8.1(14).02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Utility function for monetary gains (and losses) satisfying Friedman-Savage hypothesis
In this note we provide a closed form utility function for gains that is S-shaped around the origin and satisfies the Friedman-Savage hypothesis. We obtain the corresponding Arrow–Pratt measure of absolute risk aversion (ARA) as well as Arrow–Pratt measure of relative risk aversion (RRA) for it.
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