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After constructing an appropriate mathematical model, the optimal strategy is mainly discussed before and after the death of the first family member, the corresponding value function is obtained, as well as the explicit solution of optimal strategy under the logarithmic utility function is given.<\/jats:p>","DOI":"10.3233\/jcm-226344","type":"journal-article","created":{"date-parts":[[2022,8,23]],"date-time":"2022-08-23T11:28:22Z","timestamp":1661254102000},"page":"2161-2172","source":"Crossref","is-referenced-by-count":0,"title":["Research on household investment consumption and life insurance purchase under partial information"],"prefix":"10.66113","volume":"22","author":[{"given":"Jinyan","family":"Zhang","sequence":"first","affiliation":[{"name":"Hebi Institute of Engineering and Technology, Henan Polytechnic University, Hebi, Henan, China"},{"name":"Hebi Polytechnic, Hebi, Henan, 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