On Periodic Dividends for the Classical Risk Model with Debit Interest
نویسندگان
چکیده
منابع مشابه
Optimal Dividends in an Ornstein-Uhlenbeck Type Model with Credit and Debit Interest
In the absence of investment and dividend payments, the surplus is modeled by a Brownian motion. But now assume that the surplus earns investment income at a constant rate of credit interest. Dividends are paid to the shareholders according to a barrier strategy. It is shown how the expected discounted value of the dividends and the optimal dividend barrier can be calculated; Kummer’s confluent...
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References [1] F. Black and P. Karasinski, Bond and option pricing when short-term rates are lognormal, Financial Analysts Journal, Vol. 47, No. 4, 52-59, 1991. [2] F. Black and M. Scholes, The pricing of options and corporate liabilities, Journal of Political Economy, Vol. 81, 637-654, 1973. [3] J. C. Cox, J. E. Ingersoll, and S.A. Ross, An intertemporal general equilibrium model of asset pric...
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This paper investigates dividend optimization of an insurance corporation under a more realistic model which takes into consideration refinancing or capital injections. The model follows the compound Poisson framework with credit interest for positive reserve, and debit interest for negative reserve. Ruin occurs when the reserve drops below the critical value. The company controls the dividend ...
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Assume that the surplus of an insurer follows a compound Poisson surplus process. When the surplus is below zero or the insurer is on deficit, the insurer could borrow money at a debit interest rate to pay claims. Meanwhile, the insurer will repay debts from her premium income. The negative surplus may return to a positive level if debts are reasonable. However, when the negative surplus is bel...
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In this paper we consider a compound Poisson risk model where the insurer earns credit interest at a constant rate if the surplus is positive and pays out debit interest at another constant rate if the surplus is negative. Absolute ruin occurs at the moment when the surplus first drops below a critical value (a negative constant). We study the asymptotic properties of the absolute ruin probabil...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2020
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2020/6395717