On the Effects of Uncertainty on Investment Timing and Option Value

This article demonstrates that when the relationship between systematic risk and project value is taken into account, the sensitivity of investments with respect to volatility changes dramatically. By taking cash flows as a fundamental variable, the article shows that the value of an option to invest can be decreasing in volatility, contradicting the conventional wisdom. Second, the recent proposition, according to which the expected time to invest is U-shaped, does not generally hold; the expected time and the cash flow trigger are likely to be always increasing in volatility.     

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.     

Switch,Switch, Switch! A Regime-Switching Option-Based Model for Valuing a Tolling Agreement

This article proposes a real options valuation of a tolling contract using a combined switching option and volatility regime switching model. In a tolling-based transaction, the toller becomes the energy manager (but not the owner) of the power plant, having the option to switch it on or off to benefit from (mitigate) the upside (downside) potential related to frequent, jumpy fluctuations of power (and gas) prices. Value creation from such flexibility in managing the spark spread risk may be better captured by expanding the static NPV of the plant via exercise of a switching (compound) option having the plant itself as an underlying two-market-based asset portfolio (electricity and gas). Results from adoption of a pentanomial lattice pricing approach show that the set of tolling fees the toller would prefer to pay to the tollee “in equilibrium” is a decreasing function in the portfolio volatility because of the higher risk being borne by the former. Though the toller is willing to fairly pay equal or less than the value created from active management of the power plant, obtaining a positive net profit, the tollee may rely on a constant flow of bullet bond-like installments, securing remuneration of equity capital invested and arrangement of a project financing for plant construction.     

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.     

Pricing real growth options when the underlying assets have jump diffusion processes: the case of R&D investments

Numerous previous studies have demonstrated that research and development (R&D) investments can be evaluated by a real growth options approach. However, few studies have constructed evaluating models which consider the important R&D characteristics, including uncertainty regarding the project value, investment cost, and jump diffusion processes. The contribution of this study is not only to derive a model for evaluating R&D investments to conform to these key characteristics of R&D activities but also to build a real option pricing method that is more general than comparative important models, such as the theoretical papers of Black and Scholes (1973), Merton (1976), and Fischer (1978), and the application paper of Brach and Paxson (2001). This study also presents sensitivity analyses which illustrate the dynamic relationship between the real growth option value and the project value, investment cost, and main jump parameters. Hopefully, the results of this study can provide a useful reference for managers, and help them make better evaluations of R&D investments.     

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.     

R&D as an option on market introduction

Discounted cash flow methods for making R&D investment decisions cannot properly capture the option value in R&D. Since market and technology uncertainties change expectations about the viability of many new products, the value of projects is frequently adjusted during the R&D stages. Capturing the adjustment in expectations has an option value that may significantly differ from the Net Present Value of R&D projects. However, there are no historic time series for estimating the uncertainty of the value of R&D projects. As a result, the standard Black and Scholes model for financial option valuation needs to be adjusted. The aim of this paper is to report the application of a particular option pricing model for setting the budget of R&D projects. The option value of the model captures jumps or business shifts in market or technology conditions. The approach originates from applying current insight into the valuation of R&D projects to the field of multimedia research at Philips Corporate Research. This way, the gap between real option theory and R&D practice is further diminished.     

Valuation of projects with minimum revenue guarantees: A Gaussian copula–based simulation approach

This technical note presents a numerical simulation technique to perform valuations of infrastructure projects with minimum revenue guarantees (MRG). It is assumed that the project cash flows—in the absence of the MRG—can be described in a probabilistic fashion by means of a very general multivariate distribution function. Then, the Gaussian copula (a numerical algorithm to generate vectors according to a prespecified probabilistic characterization) is used in combination with the MRG condition to generate a set of plausible cash flow vectors. These vectors form the basis of a Monte Carlo simulation that offers two important advantages: it is easy to implement and it makes no restrictive assumptions regarding the evolution of the cash flows over time. Thus, one can estimate the distribution of a broad set of metrics (net present value, internal rate of return, payback periods, etc.). Additionally, the method does not have any of the typical limitations of real options–based approaches, namely, cash flows that follow a Brownian motion or some specific diffusion process or whose volatility needs to be constant. The usefulness of the proposed approach is demonstrated with a simple example.     

An Arbitrage-Free Estimate of Prepayment Option Prices in Fixed-Rate GNMA Mortgage-Backed Securities

In an efficient market, the no-arbitrage condition implies that the price difference between any two assets must be the market value of all differences in their cash flows. We use this logic to deduce the price of the prepayment option embedded in fixed-rate Government National Mortgage Association (GNMA) mortgage-backed securities. The option price equals the difference between an observed GNMA price and the cost of a synthetic, nonprepayable GNMA constructed from the least expensive portfolio of Treasury securities that exactly replicates the promised GNMA cash flow stream, assuming prepayment is precluded. We regress the option prices on variables found significant in previous prepayment studies, finding that five key regressors explain more than 90% of the prepayment option value in pooled time-series cross-sectional analysis. We also show that the time value of the prepayment option calculated by our method displays a pattern similar to that produced by the Black-Scholes (1973) option pricing model. An additional empirical result is the existence of negative option prices and negative time value of the option prices. We attribute these to the fact that homeowners sometimes exercise their prepayment options when they are out-of-the-money, and to refinancing transaction costs. Our method is independent of assumptions regarding interest rate processes and the homeowner's prepayment behavior, and it provides a benchmark for testing theoretical prepayment models.     

A review of: “ENGINEERING ECONOMY WITH COMPUTER APPLICATIONS”, by Dr. Arup K. Mnllik,Engineering Technology,Inc., Mahomet,Illinois, 1979, 289 pages,list 517.95.

This paper applies option pricing analysis to the problem of valuing the abandonment option of an investment proposal. The assumption is made that the abandonment option is exercisable at only one point in time in the future and that the project's vatue-in-use and its abandonment value are lognormally distributed. The model is employed to measure how the uniqueness of the project asset, as measured by the correlation between these two lognormal random variables, affects the value of the abandonment option. It is shown that the more unique the asset, or the higher the correlation, the lower is the value of the abandonment option. The model is also employed to examine the impact of increased uncertainty in these two random variables on the value of the abandonment option. The relationships are shown to be nonmonotonic. However, beyond critical thresholds, increased uncertainty in either one of the two variables enhances the value of the abandonment option.     

Commercial Office Space: Testing the Implications of Real Options Models with Competitive Interactions

We test the implications of real option pricing models with competitive interactions for commercial real estate development. The competitive nature of a local commercial real estate market relies on a Herfindahl ratio derived from individual developers' shares of total office construction in their market. All else being equal, greater competition among local developers is associated with more building starts. Other variables suggested by the real options pricing model, including the volatility of local lease rates, are also found to be statistically important. In addition, we provide evidence consistent with greater competition attenuating the extent to which increases in volatility delay commercial real estate development.     

Evaluation of a mining project under the joint effect of commodity price and exchange rate uncertainties using real options valuation

Cash flows generated by mining projects tend to be volatile and are extensively influenced by exogenous variables, notably commodity prices and exchange rates. The traditional discounted cash flow (DCF) method, which is normally used for economic feasibility studies and mining project evaluations, presents inconsistencies because the method fails to adequately address uncertainties and operational flexibilities and often ignores certain specific market conditions. Numerous studies have been carried out for mining project evaluations using the real options valuation (ROV) technique for assessing commodity price uncertainty, but there is no research on the combined effects of price and exchange rate uncertainties. Therefore, in order to assess the economic viability of a mining project more accurately, the commodity price and its inherent volatility, the exchange rate and its inherent volatility, and the correlation parameters between them have been incorporated into the model and used in the evaluation process. One of the interesting findings revealed in the study is that project values are overestimated if only commodity price uncertainty is considered in evaluating the project value instead of the joint effect of commodity price and exchange rate uncertainties. This new ROV technique will explore the opportunity to utilize an alternative methodology for approximating project values and to identify valuation opportunities to enhance economic gains or to mitigate economic losses, where the DCF valuation method does not.     

An option pricing approach to the valuation of rubber and palm oil producers

Advances in the option pricing literature have important implications for more basic valuation problems. An option pricing approach to the valuation of risky firms can accommodate uncertainty about product market conditions and managerial decisions more readily than a discounted cash flow approach. This paper adapts the stock option pricing approach of Black and Scholes (1973) to the valuation of shares of rubber and palm oil producers. A case study assesses the power of an option-based model to predict market share prices of a rubber and palm oil producer listed on the Stock Exchange of Singapore.     

Mortgage Pricing: Some Provisional Empirical Results

We test some of the qualitative properties of mortgage pricing models. The models use option pricing techniques, focusing on prepayment as a call option. They imply a quite nonlinear relationship between mortgage price and coupon, interest rates and volatility. We test for both the first and second derivatives of the effects of these variables using data on Ginnie Mae mortgage backed securities. We find that the model is largely supported by the data.     

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.     

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.     

U.S. Office Market Values During the Past Decade: How Distorted Have Appraisals Been?

The leading time series of real estate returns is the Russell-NCREIF (RN) Property Index. The RN series tracks returns, cash flow plus appraised capital gains, for multiple property types. To evaluate the accuracy of the capital-gains component of the office-market return series, this paper constructs two benchmark measures for the present value of projectable office-market cash flows from 1982 to 1991 and compares these with a real value series based on the RN capital-gain component. The RN-based series runs 30% above the highest of the benchmarks throughout the 1986–1989 period. While this overstatement is consistent with the development of a price bubble, failure of the bubble to burst until 1990–1991 is implausible. Real estate experts recognized overvaluation in assessments as early as the spring of 1986.
The RN Office-Market Index was slow to register price declines when the markets first weakened and then overstated the rate of decline once the market began to bottom out. This pattern likely reflects incentives for appraisers to smooth potentially temporary price volatility and for investment managers to maintain appraised values in declining markets. It traces as well as to systematic differences in the character and condition of the properties that lend to trade at different stages of the real estate cycle. These incentives and differences provide reason to believe that other RN indexes were similarly distorted.     

通货膨胀对项目财务评价的影响分析

论述了通货膨胀对项目现金流量的影响，并在对通货膨胀、名义利率和实际利率三者关系研究分析的基础上，提出了通货膨胀下项目财务评价的基本处理方法。     

Real Option Pricing and Bounds in Incomplete Markets

This article prices a real option and constructs narrow bounds around the value of real options embedded in capital budgeting decisions by applying the minimax deviations approach to real options in incomplete markets. While it is straightforward to obtain the unique value of a real option with hyperbolic absolute risk aversion (HARA) utility functions, the parameters of risk aversion are often subject to misspecification and raise concerns for practical uses. Recognizing that investors allow deviation from parameter values related to a benchmark pricing kernel, we derive narrow bounds on a real option price. Comparison with the approaches in the literature clarifies advantages of the minimax bounds: simple, consistent, and efficient.     

Flexibility planning for managing R&D projects under risk

Incorporating managerial flexibility in an innovative R&D project is important, because managers face greater uncertainty in today's competitive and dynamic changing environment. It is essential to bring managerial flexibility into R&D project planning to decrease technical and market risks, while increasing potential market value. The objective of this paper is to develop a flexibility planning methodology based on real option analysis to improve managerial flexibility for R&D projects. The proposed methodology identifies potential risks that may occur during every R&D stage. It also recognizes a cascading option structure to resolve the identified risks, and evaluates and selects adequate options that maximize the potential value of the project. Instead of using a traditional option pricing method, a dynamic programming model that considers multidimensional product performance and market payoff is used to evaluate the R&D project value. Using the proposed methodology, managers can identify future scenarios as a function of their management actions. The proposed flexibility planning methodology can help managers improve managerial flexibility of R&D project and increase the success rate of product launch. A drug development project is used to illustrate the proposed methodology.