Stochastic Upper Bounds for Present Value Functions
نویسندگان
چکیده
منابع مشابه
Stochastic Upper Bounds for Present Value Functions
In most practical cases, it is impossible to find an explicit expression for the distribution function of the present value of a sequence of cashflows that are discounted using a stochastic return process. In this article, the authors present an easily computable approximation for this distribution function. The approximation is a distribution function which is, in the sense of convex order, an...
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In this paper we present an efficient methodology for approximating the distribution function of the net present value of a series of cash-flows, when the discounting is presented by a stochastic differential equation as in the Vasicek model and in the Ho-Lee model. Upper and lower bounds in convexity order are obtained. The high accuracy of the method is illustrated for cash-flows for which no...
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The distribution of the present value of a series of cash flows under stochastic interest rates has been investigated by many researchers. One of the main problems in this context is the fact that the calculation of exact analytical results for this type of distributions turns out to be rather complicated, and is known only for special cases. An interesting solution to this difficulty consists ...
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The aim of this paper is to apply the method proposed by Denuit, Genest and Marceau (1999) for deriving stochastic upper and lower bounds on the present value of a sequence of cash flows, where the discounting is performed under a given stochastic return process. The convex approximation provided by Goovaerts, Dhaene and De Schepper (2000) and Goovaerts and Dhaene (1999) is then compared to the...
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ژورنال
عنوان ژورنال: The Journal of Risk and Insurance
سال: 2000
ISSN: 0022-4367
DOI: 10.2307/253674