The American Put and European Options Near Expiry, Under Levy Processes
نویسندگان
چکیده
منابع مشابه
The American put and European options near expiry, under Lévy processes
We derive explicit formulas for time decay, θ, for the European call and put options at expiry, and use them to calculate analytical approximations to the price of the American put and early exercise boundary near expiry. We show that for many families of non-Gaussian processes used in empirical studies of financial markets, the early exercise boundary for the American put without dividends is ...
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The purpose of this article is to provide, with the help of a fluctuation identity, a generic link between a number of known identities for the first passage time and overshoot above/below a fixed level of a Lévy process and the solution of Gerber and Shiu [Astin Bull. 24 (1994) 195–220], Boyarchenko and Levendorskǐi [Working paper series EERS 98/02 (1998), Unpublished manuscript (1999), SIAM J...
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Put options are commonly used in the stock market to protect against the decline of the price of a stock below a specified price. On the other hand, finite difference approach is a well-known and well-resulted numerical scheme for financial differential equations. As such in this work, a new spatial discretization based on finite difference semi-discretization procedure with high order of accur...
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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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Optimal stopping is a sub-field of probability theory that is present within mathematical finance, mathematical statistics, stochastic calculus and other disciplines. In mathematical finance, one well known problem is the pricing of an American put option. In this thesis we first give a brief review of some general optimal stopping theory, its connection to free-boundary problems and we then ex...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2004
ISSN: 1556-5068
DOI: 10.2139/ssrn.520062