A Stochastic Control Framework for Real Options in Strategic Evaluation

A Stochastic Control Framework for Real Options in Strategic Evaluation
Author: Alexander Vollert
Publisher: Springer Science & Business Media
Total Pages: 275
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461220688

The theoretical foundation for real options goes back to the mid 1980s and the development of a model that forms the basis for many current applications of real option theory. Over the last decade the theory has rapidly expanded and become enriched thanks to increasing research activity. Modern real option theory may be used for the valuation of entire companies as well as for particular investment projects in the presence of uncertainty. As such, the theory of real options can serve as a tool for more practically oriented decision making, providing management with strategies maximizing its capital market value. This book is devoted to examining a new framework for classifying real options from a management and a valuation perspective, giving the advantages and disadvantages of the real option approach. Impulse control theory and the theory of optimal stopping combined with methods of mathematical finance are used to construct arbitrarily complex real option models which can be solved numerically and which yield optimal capital market strategies and values. Various examples are given to demonstrate the potential of this framework. This work will benefit the financial community, companies, as well as academics in mathematical finance by providing an important extension of real option research from both a theoretical and practical point of view.

A Stochastic Control Framework for Real Options in Strategic Valuation

A Stochastic Control Framework for Real Options in Strategic Valuation
Author: Alexander Vollert
Publisher: Birkhauser
Total Pages: 266
Release: 2003
Genre: Business enterprises
ISBN: 9783764342586

This text unfolds and examines a new framework for classifying real options from a management as well as a valuation perspective, giving the advantages and disadvantages of the real option approach. Impulse control theory and the theory of optimal stopping combined with methods of mathematical finance are used to construct arbitrarily complex real option models which can be solved numerically and yield optimal capital market strategies and values. Various examples are given, demonstrating the potential of the proposed framework.

Real Options Theory

Real Options Theory
Author: Jeffrey J. Reuer
Publisher: Emerald Group Publishing
Total Pages: 520
Release: 2007-07-05
Genre: Business & Economics
ISBN: 1849504946

Examines the ways in which real options theory can contribute to strategic management. This volume offers conceptual pieces that trace out pathways for the theory to move forward and presents research on the implications of real options for strategic investment, organization, and firm performance.

Real Options

Real Options
Author: Lenos Trigeorgis
Publisher: MIT Press
Total Pages: 452
Release: 1996-03-14
Genre: Business & Economics
ISBN: 9780262201025

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. 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.

Applications of Stochastic Control in Energy Real Options and Market Illiquidity

Applications of Stochastic Control in Energy Real Options and Market Illiquidity
Author: Christian Maxwell
Publisher:
Total Pages: 308
Release: 2014
Genre:
ISBN:

We present three interesting applications of stochastic control in nance. The rst is a real option model that considers the optimal entry into and subsequent operation of a biofuel production facility. We derive the associated Hamilton Jacobi Bellman (HJB) equation for the entry and operating decisions along with the econometric analysis of the stochastic price inputs. We follow with a Monte Carlo analysis of the risk pro le for the facility. The second application expands on the analysis of the biofuel facility to account for the associated regulatory and taxation uncertainty experienced by players in the renewables and energy industries. A federal biofuel production subsidy per gallon has been available to producers for many years but the subsidy price level has changed repeatedly. We model this uncertain price as a jump process. We present and solve the HJB equations for the associated multidimensional jump di usion problem which also addresses the model uncertainty pervasive in real option problems such as these. The novel real option framework we present has many applications for industry practitioners and policy makers dealing with country risk or regulatory uncertainty which is a very real problem in our current global environment. Our final application (which, although apparently different from the first two applications, uses the same tools) addresses the problem of producing reliable bid-ask spreads for derivatives in illiquid markets. We focus on the hedging of over the counter (OTC) equity derivatives where the underlying assets realistically have transaction costs and possible illiquidity which standard nance models such as Black- Scholes neglect. We present a model for hedging under market impact (such as bid-ask spreads, order book depth, liquidity) using temporary and permanent equity price impact functions and derive the associated HJB equations for the problem. This model transitions from continuous to impulse trading (control) with the introduction of xed trading costs. We then price and hedge via the economically sound framework of utility indi erence pricing. The problem of hedging under liquidity impact is an on-going concern of market makers following the Global Financial Crisis.

Strategic Investment

Strategic Investment
Author: Han T. J. Smit
Publisher: Princeton University Press
Total Pages: 504
Release: 2012-01-12
Genre: Business & Economics
ISBN: 1400829399

Corporate finance and corporate strategy have long been seen as different sides of the same coin. Though both focus on the same broad problem, investment decision-making, the gap between the two sides--and between theory and practice--remains embarrassingly large. This book synthesizes cutting-edge developments in corporate finance and related fields--in particular, real options and game theory--to help bridge this gap. In clear, straightforward exposition and through numerous examples and applications from various industries, Han Smit and Lenos Trigeorgis set forth an extended valuation framework for competitive strategies. The book follows a problem-solving approach that synthesizes ideas from game theory, real options, and strategy. Thinking in terms of options-games can help managers address questions such as: When is it best to invest early to preempt competitive entry, and when to wait? Should a firm compete in R&D or adopt an accommodating stance? How does one value growth options or infrastructure investments? The authors provide a wide range of valuation examples, such as acquisition strategies, R&D investment in high-tech sectors, joint research ventures, product introductions in consumer electronics, infrastructure, and oil exploration investment. Representing a major step beyond standard real options or strategy analysis, and extending the power of real options and strategic thinking in a rigorous fashion, Strategic Investment will be an indispensable guide and resource for corporate managers, MBA students, and academics alike.

Applications of Stochastic Optimal Control to Economics and Finance

Applications of Stochastic Optimal Control to Economics and Finance
Author: Salvatore Federico
Publisher:
Total Pages: 206
Release: 2020-06-23
Genre:
ISBN: 9783039360581

In a world dominated by uncertainty, modeling and understanding the optimal behavior of agents is of the utmost importance. Many problems in economics, finance, and actuarial science naturally require decision makers to undertake choices in stochastic environments. Examples include optimal individual consumption and retirement choices, optimal management of portfolios and risk, hedging, optimal timing issues in pricing American options, and investment decisions. Stochastic control theory provides the methods and results to tackle all such problems. This book is a collection of the papers published in the Special Issue "Applications of Stochastic Optimal Control to Economics and Finance", which appeared in the open access journal Risks in 2019. It contains seven peer-reviewed papers dealing with stochastic control models motivated by important questions in economics and finance. Each model is rigorously mathematically funded and treated, and the numerical methods are employed to derive the optimal solution. The topics of the book's chapters range from optimal public debt management to optimal reinsurance, real options in energy markets, and optimal portfolio choice in partial and complete information settings. From a mathematical point of view, techniques and arguments of dynamic programming theory, filtering theory, optimal stopping, one-dimensional diffusions and multi-dimensional jump processes are used.