A dynamic programming approach to price installment options

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A dynamic programming approach to price installment options

Installment options are Bermudan-style options where the holder periodically decides whether to exercise or not and then to keep the option alive or not (by paying the installment). We develop a dynamic programming procedure to price installment options. We study in particular the geometric Brownian motion case and derive some theoretical properties of the IO contract within this framework. We ...

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Installment Options Close to Expiry

In the last thirty years, there has been a dramatic growth in the trading of options, which are contracts between two parties giving one party the right but not the obligation to partake in a financial transaction with the other party at or before a specified date in the future. The majority of options involve the right to buy or sell an underlying asset at a prescribed price, known as the stri...

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Pricing Installment Options with an Application to ASX Installment Warrants

Installment options are Bermudan-style options where the holder periodically decides whether to exercise or not and then to keep the option alive or not (by paying the installment). We develop a dynamic programming procedure to price installment options. We derive the range of installments within which the installment option is not redundant with the European contract. Simulations analysis show...

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Valuing continuous-installment options

Installment options are path-dependent contingent claims in which the premium is paid discretely or continuously in installments, instead of paying a lump sum at the time of purchase. This paper deals with valuing European continuous-installment options written on dividend-paying assets in the standard Black-Scholes-Merton framework. The valuation of installment options can be formulated as a f...

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Valuation of European Installment Put Options — Variational Inequality Approach 1

Abstract: In this paper we consider a parabolic variational inequality arising from the valuation of European installment put options. We prove the existence and uniqueness of the solution to the problem. Moreover, we obtain C∞ regularity and the bounds of the free boundary. Eventually we show its numerical result by the binomial method.

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ژورنال

عنوان ژورنال: European Journal of Operational Research

سال: 2006

ISSN: 0377-2217

DOI: 10.1016/j.ejor.2004.05.009