On a free boundary problem that arises in portfolio management
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1994 ◽
Vol 347
(1684)
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pp. 555-561
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Keyword(s):
Long Run
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We study a model for the optimal management of a portfolio when there are transaction costs proportional to a fixed fraction of the portfolio value. The risky securities are modelled as correlated geometric brownian motions. There is a riskless bank account and the aim is to maximize the long-run growth rate. It is known that the optimal trading strategy is characterized by the solution of a certain partial differential equation free boundary problem. This paper explains how to transform this free boundary problem for the case of three securities into a much simpler one that is feasible to solve with numerical methods.
Keyword(s):
2008 ◽
Vol 05
(04)
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pp. 785-806
2017 ◽
Vol 68
(2)
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Keyword(s):
1998 ◽
Vol 23
(7-8)
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pp. 1209-1303
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Keyword(s):
2017 ◽
Vol 147
(3)
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pp. 615-648
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1986 ◽
Vol 12
(12)
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pp. 1193-1200
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Keyword(s):
1999 ◽
Vol 12
(4)
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pp. 101-104
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Keyword(s):
1992 ◽
Vol 102
(2)
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pp. 297-309
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