Topic
Compound option
About: Compound option is a research topic. Over the lifetime, 201 publications have been published within this topic receiving 23440 citations.
Papers published on a yearly basis
Papers
Book•
12 Sep 2011
TL;DR: In this paper, the authors deduced a set of restrictions on option pricing formulas from the assumption that investors prefer more to less, which are necessary conditions for a formula to be consistent with a rational pricing theory.
Abstract: The long history of the theory of option pricing began in 1900 when the French mathematician Louis Bachelier deduced an option pricing formula based on the assumption that stock prices follow a Brownian motion with zero drift. Since that time, numerous researchers have contributed to the theory. The present paper begins by deducing a set of restrictions on option pricing formulas from the assumption that investors prefer more to less. These restrictions are necessary conditions for a formula to be consistent with a rational pricing theory. Attention is given to the problems created when dividends are paid on the underlying common stock and when the terms of the option contract can be changed explicitly by a change in exercise price or implicitly by a shift in the investment or capital structure policy of the firm. Since the deduced restrictions are not sufficient to uniquely determine an option pricing formula, additional assumptions are introduced to examine and extend the seminal Black-Scholes theory of option pricing. Explicit formulas for pricing both call and put options as well as for warrants and the new "down-and-out" option are derived. The effects of dividends and call provisions on the warrant price are examined. The possibilities for further extension of the theory to the pricing of corporate liabilities are discussed.
9,948 citations
TL;DR: In this paper, a simple discrete-time model for valuing options is presented, which is based on the Black-Scholes model, which has previously been derived only by much more difficult methods.
6,668 citations
Book•
14 Mar 1996
TL;DR: Real Options as mentioned in this paper reviews current techniques of capital budgeting and details an approach (based on the pricing of options) that provides a means of quantifying the elusive elements of managerial flexibility in the face of unexpected changes in the market.
Abstract: In the 1970s and the 1980s, developments in the valuation of capital-investment opportunities based on options pricing revolutionized capital budgeting. Managerial flexibility to adapt and revise future decisions in order to capitalize on favorable future opportunities or to limit losses has proven vital to long-term corporate success in an uncertain and changing marketplace.In this book Lenos Trigeorgis, who has helped shape the field of real options, brings together a wealth of previously scattered knowledge and research on the new flexibility in corporate resource allocation and in the evaluation of investment alternatives brought about by the shift from static cash-flow approaches to the more dynamic paradigm of real options -- an approach that incorporates decisions on whether to defer, expand, contract, abandon, switch use, or otherwise alter a capital investment.Comprehensive in scope, Real Options reviews current techniques of capital budgeting and details an approach (based on the pricing of options) that provides a means of quantifying the elusive elements of managerial flexibility in the face of unexpected changes in the market. Also discussed are the strategic value of new technology, project interdependence, and competitive interaction.The ability to value real options has so dramatically altered the way in which corporate resources are allocated that future textbooks on capital budgeting will bear little resemblance to those of even the recent past. Real Options is a pioneer in this area, coupling a coherent picture of how option theory is used with practical insights in into real-world applications.
2,689 citations
TL;DR: In this article, the authors present a theory for pricing options on options, or compound options, which can be generalized to value many corporate liabilities, and derive a new model for puts and calls corrects some important biases of the Black-Scholes model.
1,160 citations
TL;DR: An analytic solution to the American put problem is derived in this paper, where the hedge ratio and other derivatives of the solution are presented, and a polynomial expression is developed for evaluating these formulae.
Abstract: An analytic solution to the American put problem is derived herein. The hedge ratio and other derivatives of the solution are presented. The formula derived implies an exact duplicating portfolio for the American put consisting of discount bonds and stock sold short. The formula is extended to consider put options on stocks paying cash dividends. A polynomial expression is developed for evaluating these formulae. Values and hedge ratios for puts on both dividend and nondividend paying stocks are calculated, tabulated, and compared with values derived by numerical integration and binomial approximation. As with European options, evaluating an analytic formula is more efficient than approximating the stock price process or the partial differential equation by binomial or finite difference methods. Finally, applications of this American put solution are discussed.
716 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 4 |
| 2020 | 4 |
| 2019 | 3 |
| 2018 | 7 |
| 2017 | 3 |
| 2016 | 8 |