Pricing American contingent claims by stochastic linear programming
نویسندگان
چکیده
منابع مشابه
Expected gain-loss pricing and hedging of contingent claims in incomplete markets by linear programming
We analyze the problem of pricing and hedging contingent claims in the multi-period, discrete time, discrete state case using the concept of a sufficiently attractive expected gain opportunity to a claim’s writer and buyer. Pricing results somewhat different from, but reminiscent of, the arbitrage pricing theorems of mathematical finance are obtained. We show that our analysis provides tighter ...
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A warrant is an option that entitles the holder to purchase shares of a common stock at some prespecified price during a specified interval. The problem of pricing a perpetual warrant (with no specified interval) of the American type (that can be exercised any time) is one of the earliest contingent claim pricing problems in mathematical economics. The problem was first solved by Samuelson and ...
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In this paper, we study a partial differential equation (PDE) framework for option pricing where the underlying factors exhibit stochastic correlation, with an emphasis on computation. We derive a multi-dimensional time-dependent PDE for the corresponding pricing problem, and present a numerical PDE solution. We prove a stability result, and study numerical issues regarding the boundary conditi...
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This paper is a study of continuously resettled contingent claims prices in a stochastic economy. As special cases, the relationship between futures and forward prices is analyzed, and a preference-free expression is derived for these prices, as well as the price of a continuously resettled futures option, whose formula differs from Black’s futures option pricing formula due to the effects of m...
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We consider a general wealth process with a drift coefficient which is a function of the wealth process and the portfolio process with convex constraint. Existence and uniqueness of a minimal solution are established. We convert the problem of hedging American contingent claims into the problem of minimal solution of backward stochastic differential equation, and obtain the upper hedging price ...
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ژورنال
عنوان ژورنال: Optimization
سال: 2009
ISSN: 0233-1934,1029-4945
DOI: 10.1080/02331930902819188