{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:40:52Z","timestamp":1787323252131,"version":"build-2736575974"},"reference-count":21,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"8","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>Finding optimal dividend strategies is a classical problem in the financial and actuarial literature. The idea is that the company wants to pay some of its surplus as dividends, and the problem is to find a dividend strategy that maximizes the expected total discounted dividends received by the shareholders until ruin. Here we generalize results in [J. Paulsen, Adv. Appl. Probab., 39 (2007), pp. 669\u2013689] in that the rate of growth of the surplus process is assumed to exceed the discounting factor whenever the surplus process is smaller than a fixed number $x_{\\lambda}$. In [J. Paulsen, Adv. Appl. Probab., 39 (2007), pp. 669\u2013689] it was assumed that this rate of growth is always less than or equal to the discounting factor. It turns out that this generalization makes the problem much more complicated, and a simple barrier strategy is no longer always optimal.<\/jats:p>","DOI":"10.1137\/090773210","type":"journal-article","created":{"date-parts":[[2010,10,14]],"date-time":"2010-10-14T18:12:28Z","timestamp":1287079948000},"page":"4987-5008","source":"Crossref","is-referenced-by-count":28,"title":["Optimal Dividend Policies with Transaction Costs for a Class of Diffusion Processes"],"prefix":"10.1137","volume":"48","author":[{"given":"Lihua","family":"Bai","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jostein","family":"Paulsen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,10,14]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5564(98)10018-4"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/s00199-005-0627-4"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/060659375"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/s007800050075"},{"key":"R5","doi-asserted-by":"crossref","unstructured":"L. Bai and J. Guo,\n                      Optimal dividend payments in the classical risk model when payments are subject to both transaction costs and taxes\n                      , Scand. Actar. J., 2010, no. 1, pp. 36\u201355.","DOI":"10.1080\/03461230802591098"},{"key":"R6","unstructured":"L. Bai, J. Guo, and H. Zhang,\n                      Optimal excess-of-loss reinsurance and dividend payments when payments are subject to both transaction cost and taxes\n                      , Quant. Finance, to appear."},{"key":"R7","unstructured":"L. Bai, M. Hunting, and J. Paulsen,\n                      Optimal dividend policies for a class of growth-restricted diffusion with transaction costs and solvency constraints\n                      , Finance Stoch., to appear."},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9965.2007.00295.x"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9965.2006.00267.x"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1287\/opre.26.4.620"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1137\/060669905"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1080\/10920277.2004.10596125"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1287\/moor.8.3.454"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1070\/RM1995v050n02ABEH002054"},{"key":"R15","doi-asserted-by":"crossref","unstructured":"N. V. Krylov,\n                      Lectures on Elliptic and Parabolic Equations in H\u00f6lder Spaces\n                      , Grad. Stud. Math., AMS, Providence, RI, 1996.","DOI":"10.1090\/gsm\/012"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1016\/j.insmatheco.2007.10.013"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1239\/aap\/1189518633"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1137\/070691632"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1137\/0315007"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/0322005"},{"key":"R21","unstructured":"K. Yosida,\n                      Lectures on Differential and Integral Equations\n                      , Dover Publications, New York, 1990."}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/090773210","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:51:01Z","timestamp":1787320261000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/090773210"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":21,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1137\/090773210"],"URL":"https:\/\/doi.org\/10.1137\/090773210","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}