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Dividend Payouts in a Perturbed Risk Process Compounded By Investments of the Black-Scholes Type

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dc.creator Kasozi, Juma
dc.creator Charles, Wilson M.
dc.date 2016-09-21T12:06:45Z
dc.date 2016-09-21T12:06:45Z
dc.date 2013
dc.date.accessioned 2018-03-27T08:58:05Z
dc.date.available 2018-03-27T08:58:05Z
dc.identifier Kasozi, J. and Mahera, C.W., 2013. DIVIDEND PAYOUTS IN A PERTURBED RISK PROCESS COMPOUNDED BY INVESTMENTS OF THE BLACK-SCHOLES TYPE. Far East Journal of Applied Mathematics, 82(1), p.1.
dc.identifier http://hdl.handle.net/20.500.11810/3784
dc.identifier.uri http://hdl.handle.net/20.500.11810/3784
dc.description Full text can be accessed at http://search.proquest.com/openview/217fb7f4d22bffc20e97cf12041ecf7e/1.pdf?pq-origsite=gscholar&cbl=1816356
dc.description This work addresses the issue of dividend payouts of an insurer whose portfolio is exposed to insurance risk. The insurance risk arises from the perturbed classical surplus process commonly known as the Cramér-Lundberg model in the insurance literature. To enhance her financial base, the insurer invests into assets whose price dynamics are governed by a Black-Scholes model. We derive a linear Volterra integral equation of the second kind and solve the equations for each chosen barrier, thus generating corresponding dividend value functions. We have obtained the optimal barrier that maximises the expected discounted dividend payouts prior to ruin.
dc.language en
dc.subject Cramér-Lundberg model
dc.subject Insurance
dc.subject Volterra integral equations
dc.subject Barrier strategy
dc.subject Dividends
dc.title Dividend Payouts in a Perturbed Risk Process Compounded By Investments of the Black-Scholes Type
dc.type Journal Article


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