REAL OPTIONS VOLATILITY ESTIMATION WITH CORRELATED INPUTS

Real Options Analysis (ROA) provides a framework for valuing reactive and proactive managerial flexibility in investment decisions. Estimating the volatility parameter for a real options model is challenging because there are typically no historical returns for the underlying asset and no current market prices. A previously developed method of using simulation to estimate the volatility parameter for a real investment is demonstrated. The effects of serial price correlation and price-demand cross-correlation on volatility parameters developed with this method are explained. Finally, managerial implications of these findings are discussed.     

Project valuation in the pharmaceutical industry: a comparison of least‐squares Monte Carlo real option valuation and conventional approaches

Least‐squares Monte Carlo simulation (LSM) is a promising new technique for valuing real options that has received little or no attention in the pharmaceutical industry. This study demonstrates that LSM can handle complex valuation situations with multiple uncertainties and compounded American‐type options. The limited application of real option valuation (ROV) in the pharmaceutical industry is remarkable, given the importance of accurate project valuation in an industry that requires large investments in high‐risk projects with long pay‐back periods, which is furthermore suffering from ever‐increasing development costs and shrinking profit margins. The LSM model developed in this study is constructed as an extension of a discounted cash flow model that should be familiar to economists active in the pharmaceutical industry. A number of pharmaceutical projects have been evaluated using LSM ROV, binominal real option valuation and expected net present value techniques. The different results yielded by these methods are explained in terms of differences in risking assumptions and ability to capture the value of flexibility. The analysis provides a framework to introduce the basic concepts of real option pricing to a non‐specialist audience. The LSM model illustrates the potential for real‐life commercial assessment as the versatility of the technique allows for an easy customisation to specific business problems.     

Real options and real value: the role of employee incentives to make specific knowledge investments

Real options reasoning emphasizes the strategic value of making flexible investments in a turbulent environment. Employees' investments in specific human capital are often critical to the success of a real option project, but the very flexibility that allows a firm to change course in response to new information also affects employees' incentives to make such specific human capital investments. We develop a model of real option investment that explicitly incorporates the role of employee incentives. The model suggests that the effect of investing in a real option project on employee incentives may be positive, further increasing the value of the project, or negative, sometimes more than offsetting the benefit of flexibility and resulting in reduced project value. Therefore, firms and managers should take into consideration the role of employee incentives when applying real options logic to investment decision making. Copyright © 2008 John Wiley & Sons, Ltd.     

A REAL OPTIONS DESIGN FOR PRODUCT OUTSOURCING

Product outsourcing is recognized as a way to gain flexibility for competitive advantage. We formulate the outsourcing problem using real options. We develop a financial model to assess the option value of product outsourcing. Specifically, we consider a three state-variable problem and use Monte Carlo simulation to estimate the value of the option. This valuation gives decision makers a way to choose the appropriate outsourcing strategy based on an integrated view of the market dynamics. A case example from the apparel manufacturing industry is used to demonstrate the application of real options to value outsourcing flexibility. We show that the inability of classical net present value methods to address dynamics in the market condition leads to an undervaluing of the outsourcing strategy. Numerical results and sensitivity analysis show how the real options approach can be used to give a better view of the long-term value of outsourcing.     

Paying attention to real options

The strategy literature is increasingly focused on the need to create dynamic capabilities to respond with innovative product offerings in 'hypercompetitive' environments. The real options approach offers hope for managers facing such threatening environments by highlighting methods to hold options on a variety of possible future states, thereby reducing risk without bearing all the costs. However, extant real options literature, stemming from rational-based financial assumptions, does not consider attention as a limited resource. Real options are valued on the assumption that management can exploit the flexibility inherent in projects, and so require management attention to obtain their full theoretical value. This paper brings attentional constraints to bear on the real options framework and describes a conceptual framework that illustrates the real option value realization process.     

Valuation of Learning Options in Software Development Under Private and Market Risk

Commercial software development is an inherently uncertain activity. Private risk is high, schedule and cost overruns are common, and market success is elusive. Such circumstances call for a disciplined project evaluation approach. This paper addresses the use of market and earned value management data in assessing the economic value of commercial software development projects that are simultaneously subject to schedule, development cost, and market risk. The assessment is based on real options analysis, a financial valuation technique that can tackle dynamic investment decisions under uncertainty. The paper demonstrates the application of real options analysis to a development scenario that consists of two consecutive stages: a mandatory prototyping stage and an optional full-development stage. The full-development stage is undertaken only if the prototype is successful and the market outlook is sufficiently positive at the end of the prototyping stage, thus giving the full-development stage the flavor of an option. The project's staged design increases its value. Real options analyses capture the extra value due to optionality.     

Real Options—An Introduction and an Application to R&D Valuation

In this short paper, we summarize the real options approach and show how it can be used to introduce flexibility into the capital budgeting process. We then go on to show an application of real option evaluation to research and development valuation in the pharmaceutical industry. Our calculations and illustrations are in Excel and can be easily replicated.     

An Options Approach to Valuing Expansion Flexibility in Flexible Manufacturing System Investments

Flexibility in manufacturing processes provides an ability to change or even reverse the decisions made in earlier periods. The traditional economic evaluation methods of investments in flexible manufacturing systems ignore the value of flexibility, which should be one of the key issues in the justification process. Options approach appears as a means of overcoming the limitations of conventional discounted cash flow methods. In this work, a methodology for valuing expansion flexibility of flexible manufacturing systems is presented. Expansion flexibility in a phased manufacturing investment can be valued by viewing an initial investment as being analogous to purchasing an option to exchange one risky asset for another risky asset within a time period from the initial investment. While keeping the option to expand is of value, a thorough analysis requires that the opportunity cost of delaying expansion be taken into account. In this paper, an analytic approximation methodology for valuing sequential American exchange options on dividend paying stocks is employed for valuing expansion flexibility. A comprehensive numerical example is presented to illustrate the approach, and sensitivity analyses are performed.     

Strategic NPV: Real Options and Strategic Games under Different Information Structures

Research summary : Among the most difficult firm strategic choices is the trade‐off between making a long‐term commitment or holding off on investment in the face of uncertainty. To operationalize strategic management theory under demand, technological and competitive uncertainty, we develop a Strategic Net Present Value (NPV) framework that integrates real options and game theory to quantify value components and interactions at the interface between NPV, real options, and strategic games. Our approach results in new propositions clarifying the way learning‐experience conditions, technological uncertainty, and proprietary information interact to tilt the balance in the interplay between wait‐and‐see flexibility and strategic commitment. As such, Strategic NPV adds to our understanding of the conditions where NPV, real options, or strategic thinking are more relevant. Managerial summary : This study develops and elucidates implementation of a new valuation construct, “Strategic Net Present Value (NPV),” that integrates real options and game theory to more accurately portray strategic decisions underlying management theory. Among the most difficult firm strategic choices in capital intensive industries, such as energy, mining, chip manufacturing, and infrastructure development, is the trade‐off between making a long‐term commitment or holding off on investment in the face of demand, technological, and competitive uncertainties. The study provides new insights on the way various conditions, such as learning‐experience effects, technological uncertainty, and proprietary information, interact to tilt the balance in the interplay between commitment and wait‐and‐see flexibility. As such, Strategic NPV adds to our understanding of when NPV, real options, or strategic thinking matter more critically for decision making. Copyright © 2017 John Wiley & Sons, Ltd.     

Dark Fiber Valuation

Valuation of dark fiber has recently generated controversy, sparked particularly by the large sums booked for swaps of dark fiber between companies. One of the issues raised is valuation: i.e., what is the value of an asset that generates no revenue now and may do so at some unknown point in the future but only after investment, in an uncertain business climate, and where prices are dropping? The picture is further complicated because the result of investing to bring the asset to market (i.e. lighting the fiber) changes the supply and demand conditions of the market itself and hence invalidates price predictions. A realistic and consistent valuation methodology is necessary for increasingly cautious companies, auditors, and investors. In this paper we describe such a valuation methodology for dark fibre based on real options. Publicly available bandwidth price services start to make this practical by providing market price information. For dark fibre valuation the real option to be valued are the lighting decisions. We specifically include the effect on the market of adding new capacity by using the price-elasticity of demand within the stochastic price process itself, conditional on lighting decisions. Prices are generally volatile and decreasing with time. The evolution of lighting costs and maintenance are included in the valuation. The real options technique used here is novel in that it combines economic and market factors explicitly with mathematical finance to arrive at a valuation and optimal decisions. We found that the optimal lighting riming and capacity decisions to depend on many of the factors included in the analysis with no simple triggers: the details really matter.     

Evaluating growth options as sources of value for pharmaceutical research projects

The financial value of research projects is difficult to assess because they are highly uncertain. Often, the result is either an overly conservative approach to strategic innovation, based on net present value analyses, or an overly aggressive approach based on optimistic qualitative portfolios. R&D project evaluation requires recognizing threats as well as opportunities from uncertain events, and incorporating flexibility in managerial action in response to them. Real options pricing analysis is a widely discussed tool for evaluating such managerial flexibility. The limitation of options pricing lies in its requirement for complete financial markets, in which a replicating asset can be found that reproduces (or, at least, is correlated with) the project’s payoffs in all possible states of the world. However, the major risks of research projects are typically project specific and cannot be replicated in external markets. In this situation, a decision tree is a better tool to represent managerial options during execution of the project, and to evaluate its value. A decision tree is equivalent to options pricing for risks that can be priced in the financial markets (if trading of securities is explicitly included), and moreover, it can incorporate risks and flexibility that are not traded in financial markets. Using decision trees, we demonstrate a quantitative evaluation of compound growth options from research at BestPharma, a large international pharmaceutical company. A growth option is a future opportunity that may arise from a current R&D investment. The growth option may not be related to the primary purpose of the R&D project, or not even be directly foreseeable. Kester (1984) has argued that growth options may account for a large part of project value. BestPharma faced the problem of choosing among several strategic research initiatives. They developed a decision tree representation of the projects, which helped to provide transparency about project value and strategic options. Most importantly, carefully thinking through the tree helped to identify growth options, represented by additional branches in the tree, and to quantify that they represented major sources of value.     

Shareholder Value, Real Options, and Innovation in Technology-Intensive Companies

We show how central concepts from technology and innovation management (TIM), sequential models of the New Product Development (NPD) process, and the valuation technique of 'real options' can be linked, to provide a valuation framework that can be used in the value-based management of technology-intensive companies.
We introduce a binomial option tree which incorporates the flexibility and the risks inherent in the NPD process into its evaluation in a theoretically correct way and is at the same time simple and easy to use. In this way, our options-based approach ties the valuation of hitech and life sciences companies closer to the underlying growth opportunities and incorporates much of the 'gut feel' of experienced industry practitioners into the valuation. As a consequence, the approach leads to more defensible valuations and allows powerful insights for the value-based management of technology-intensive companies.
In two numerical examples we demonstrate that the theoretically more sound option tree approach in practice can produce different valuations and lead to different decisions than a simple 'discounted cash flow (DCF) tree' approach and has therefore potential to improve managerial decision making. Finally, we describe a real life situation where our options-based approach was successfully applied in the valuation for the initial public offering of a biotech company.     

The Impact of Volatility on Firms Holding Growth Options

“Abuses of real option valuation were partly behind the ramping and subsequent deramping of the 2000 internet techno bubble. No one ever got to eat the free lunch these real option 'theorists' promised. No one ever will; no one ever could.” (Mayor 2001, 53) Growth options contribute to over 95% of the market value of Internet stocks such as Amazon.com, America Online, and eBay. Finance theory often promotes market volatility as being desirable for investors holding financial options. Is volatility also desirable for firms holding growth options? While many argue that it is, this paper presents a simple example illustrating that increasing volatility can destroy growth option value, especially for firms holding “quality” growth options.     

Valuing Real Capital Investments Using The Least-Squares Monte Carlo Method

The recently developed least-squares Monte Carlo (LSM) method provides a simple and efficient technique for valuing American-type options. The proposed method is applicable to the cases of compound real options, like the other numerical techniques such as finite difference and lattice methods, with the additional advantage to handle easily the cases of multiple uncertain state variables with different and complex stochastic processes. With this advantage, the LSM method is not only efficient for valuing multi-factor American options, but it can also be extended for valuing complex real investments having many embedded real options and involving multiple uncertain state variables. This article examines the applicability of the LSM method in valuing real capital investments. Two valuation examples have been provided to test the efficiency of the proposed method in both the valuation and the decision-making processes.     

A Review of: “STATISTICS OF EXTREMES” By Emil J. Gumbel Columbia University Press New York, 1958 375 pp. $15.00

Standard procedures for evaluating future cash flows are to find an appropriate discount rate consistent with the cash flow's risk and then to derive a present value. While discounted cash flows seem appropriate for many instances, finding appropriate discount rates is often difficult, or discount rates may not exist when the risk is actually a function of a decision that requires the cash-flow valuation. We consider two approaches that have been suggested to alleviate this problem: the capital asset pricing model (CAPM) and the risk-neutral pricing arguments from option theory. We discuss the assumptions inherent in these models and show the results on the well-known news vendor model. Our option pricing results correspond to Singhal's [17] results using CAPM and a different valuation procedure for the option pricing model. We, however, derive a simpler expression that clearly illustrates differences from the standard form ignoring risk.     

Pricing Default Risk in Mortgages

This paper examines the valuation of fixed-rate mortgages and the pricing of insurance against default on such mortgages. Both the mortgage and the insurance are treated as compound European put options. A put is the right, but not the obligation, to turn over an asset to another party for a specified payment, and being a European put indicates that this can only occur at a specified expiration date. The mortgage contract, and hence the insurance on it, fit into a European option framework because no rational borrower would ever choose to default until a payment is due. Mortgages are compound options in nature because at each payment data prior to the last one, the borrower either defaults or purchases a new option to default at the next payment date by making the scheduled payment. Since the current value of the mortgage is affected by options to default in the future, the problem is solved working backwards in time with the value of later options feeding into the earlier ones, so that the process builds on itself in a recursive fashion. Using familiar arguments from option-pricing theory, the value of any of the assets in the model is expressed as the solution to a partial differential equation, where the terms of the contract yield the appropriate terminal conditions. Standard numerical procedures are then used to produce the value of the mortgage and the insurance under various economic conditions. The simulations indicate that the prime determinants of the value of the assets considered are the volatility of the house price and the volatility of the spot interest rate. Sensitivity tests show that changing either of these parameters affects the results substantially more than any of the other parameters examined. The paper completely analyzes the default option and insurance against default on the mortgage. It is one part of a complete model of fixed-rate mortgages that would allow for both prepayment and default and treat the interaction of the two options. The general approach outlined in this paper can be used to develop such a model as well as to value any mortgage-related security. In light of the increasing variety and the complexity of such instruments in the market today, the presentation of our approach to these valuation problems is perhaps the most important contribution of the paper.     

DISCOUNT RATE VALUE AND CASH FLOW DEFINITION: A NEW RELATIONSHIP AND ITS IMPLICATIONS

This article uses different standpoints to approach the question of the consistency of project valuation methods. It shows that the NPV of a project can be obtained by discounting adjusted operating cash flows at a different rate from the risk-adjusted discount rate which should normally be used. Each of the conventional project valuation methods (standard WACC, equity residual, Arditti-Levy, APV) accordingly corresponds to a specific choice of the discount rate. Thus the convergence of these methods is obvious when the risk-adjusted discount rate integrates a debt ratio equal to the one of the project. Moreover, we obtain the Modigliani-Miller relationship generalized to the case of a project of any duration.     

Investment flexibility and competition modeling for broadband business

In the new era of the telecommunications business field, a large number of potential investors are capable of entering into the market of the broadband services provision. This paper provides a model for analyzing the new perspectives for new investors in this field. It integrates compound Real Options and Game Theory techniques and adopts price competition analysis, for the broadband services provision, in order to find the optimal business strategy. Finally, it applies the analysis to a real life business case by formulating and solving it.     

A REAL OPTIONS DESIGN FOR QUALITY CONTROL CHARTS

We develop a financial model for a manufacturing process where quality can be affected by an assignable cause. We value the real options associated with applying a statistical process control chart using the Black-Scholes equation, binomial and pentanomial lattices, and Monte Carlo simulation methods. This valuation gives decision makers a way to choose the appropriate quality control strategy based on an integrated view of the market dynamics with the manufacturing operational aspects. An industry case is used to demonstrate the application of real options to value control chart decisions. Web based programs are given to value the alternatives in the case study, making the valuation task accessible to other users.     

Oil and Gas Exploration Valuation and the Value of Waiting

The timing flexibility of investments in oil and gas assets can potentially add value. In this article, we examine the value of waiting in exploration projects and propose a real option–based valuation method using least-squares Monte Carlo simulation. We show that the dynamics of the oil and gas prices have a large impact on the value of the option to wait, especially for projects with long lead times and durations. The uncertainty in the forward price curve is modeled using a two-factor stochastic price process. The article also presents the valuation method in the form of MATLAB functions and routines that can be used as an efficient test and analysis platform using the industry-standard input formats.