{"title":"随机劳动收入条件下的最优退休:不完全市场条件下的自由边界法","authors":"Daniele Marazzina","doi":"arxiv-2407.19190","DOIUrl":null,"url":null,"abstract":"In this note, we show how to solve an optimal retirement problem in presence\nof a stochastic wage dealing with a free boundary problem. In particular, we\nshow how to deal with an incomplete market case, where the wage cannot be fully\nhedged investing in the risk-free and the risky asset describing the financial\nmarket.","PeriodicalId":501045,"journal":{"name":"arXiv - QuantFin - Portfolio Management","volume":"49 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimal retirement in presence of stochastic labor income: a free boundary approach in presence of an incomplete market\",\"authors\":\"Daniele Marazzina\",\"doi\":\"arxiv-2407.19190\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this note, we show how to solve an optimal retirement problem in presence\\nof a stochastic wage dealing with a free boundary problem. In particular, we\\nshow how to deal with an incomplete market case, where the wage cannot be fully\\nhedged investing in the risk-free and the risky asset describing the financial\\nmarket.\",\"PeriodicalId\":501045,\"journal\":{\"name\":\"arXiv - QuantFin - Portfolio Management\",\"volume\":\"49 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - QuantFin - Portfolio Management\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.19190\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuantFin - Portfolio Management","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.19190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal retirement in presence of stochastic labor income: a free boundary approach in presence of an incomplete market
In this note, we show how to solve an optimal retirement problem in presence
of a stochastic wage dealing with a free boundary problem. In particular, we
show how to deal with an incomplete market case, where the wage cannot be fully
hedged investing in the risk-free and the risky asset describing the financial
market.