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Bankruptcy occurs if the surplus process becomes negative and there are proportional costs for capital injection. We show that one of the following strategies is optimal: (i) Pay dividends and inject capital in order to reflect the surplus process at an upper barrier and at 0, implying bankruptcy never occurs. (ii) Pay dividends in order to reflect the surplus process at an upper barrier and never inject capital\u2014corresponding to absorption at 0\u2014implying bankruptcy occurs the first time the surplus reaches zero. We show that if the costs of capital injection are <jats:italic>low<\/jats:italic>, then a sufficiently high dividend payout barrier will change the optimal strategy from type (i) (without bankruptcy) to type (ii) (with bankruptcy). Moreover, if the costs are <jats:italic>high<\/jats:italic>, then the optimal strategy is of type (ii) regardless of the dividend payout barrier. We also consider the possibility for the owner to choose a stopping time at which the insurance company is liquidated and the owner obtains a liquidation value. The uncontrolled surplus process is a Wiener process with drift.<\/jats:p>","DOI":"10.1007\/s00186-020-00720-y","type":"journal-article","created":{"date-parts":[[2020,7,16]],"date-time":"2020-07-16T13:03:40Z","timestamp":1594904620000},"page":"461-487","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Optimal dividends and capital injection under dividend restrictions"],"prefix":"10.1007","volume":"92","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3184-2879","authenticated-orcid":false,"given":"Kristoffer","family":"Lindensj\u00f6","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0775-9680","authenticated-orcid":false,"given":"Filip","family":"Lindskog","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,7,16]]},"reference":[{"issue":"2","key":"720_CR1","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1007\/BF03191909","volume":"103","author":"H Albrecher","year":"2009","unstructured":"Albrecher H, Thonhauser S (2009) Optimality results for dividend problems in insurance. 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