Integrating Real Options with Managerial Cash Flow Estimates

This article presents a real options model that fits managerial cash flow estimates (optimistic, likely, and pessimistic projections) to a continuous geometric Brownian motion (GBM) cash flow process with changing growth and volatility parameters. The cash flows and the value of a project are correlated to a traded asset, so the real option is priced under the risk-neutral measure with a closed-form solution. The analysis is extended to a sequential compound call option for investments over multiple periods. If the project is correlated to the market, then some of the risk may be mitigated by a delta-hedging strategy. A numerical example shows that the effect of the correlated asset on the real option value is significant, and the relationship between the volatility of the project and the real option value is not analogous to the typical relationship found in financial option pricing. Integrating the expertise and industry knowledge of management, this approach makes possible a more rigorous estimation of model inputs for real option pricing.     

Linking customer lifetime value with shareholder value

The measurement of customer lifetime value has become a key issue for developing and maintaining long-term profitable customer relationships. It plays a significant role in customer acquisition and retention decisions. Given the growing importance of creating value for shareholders, market strategies have to be evaluated by their capacity to achieve this goal. Accordingly, both the acquisition and maintenance of customers must result in superior cash flows and augmented shareholder value. However, little attention has been paid to the link between customer lifetime value and shareholder value. The authors of this paper provide a conceptual framework for linking customer lifetime value to shareholder value. It is argued that customers have to be treated as assets that increase shareholder value by accelerating and enhancing cash flows, reducing cash flow volatility and vulnerability and increasing the residual value of the firm.     

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.     

Adjustments within discount rates to cater for uncertainty—Guidelines

Deterministic discounted cash flow (DCF) analysis is a well-accepted technique in engineering appraisals. Common practice is to incorporate all uncertainty influences within a single variable—namely, the discount rate—which also represents the time value of money. Commentary already exists in the literature that such a practice is expedient but not rational and has shortcomings. This article examines the error involved in this practice and provides guidelines and precautions for using blanket or constant discount rates in dealing with uncertainties. It shows the adjustments necessary for any given investment scenario. This is done through establishing equivalence of the expected utility of deterministic and probabilistic present worth, allowing a rate adjustment to be calculated. Numerical studies look at the relationship or trends of this rate adjustment to the key analysis variables. Generally, it is found that the rate adjustment should be decreased as the timing of a cash flow's occurrence increases, increased as the variance of the cash flow increases, kept almost as an additive constant as the base rate increases, and increased as the investor's level of risk aversion increases. The article provides practitioner-friendly usable guidelines for adjusting rates, something that is unavailable elsewhere in the literature.     

Dividend Policy and Cash-Flow Uncertainty

We explore the role of expected cash-flow volatility as a determinant of dividend policy both theoretically and empirically. Our simple one-period model demonstrates that, given the existence of a stock-price penalty associated with dividend cuts, managers rationally pay out lower levels of dividends when future cash flows are less certain. The empirical results use a sample of REITs from 1985 to 1992 and confirm that payout ratios are lower for firms with higher expected cash-flow volatility as measured by leverage, size and property-level diversification. These results are consistent with information-based explanations of dividend policy but not with agency-cost theories.     

Simulation-based estimation of state-dependent project volatility

Project volatility is an essential parameter for real options analysis, and it may also be useful for risk analysis. Many volatility estimation procedures only consider the volatility in the first year of the project. Others consider that different years may have different values of the project volatility. This article takes into account that volatility may change not only with time but also with the state of the project. Two possible definitions for the project volatility are considered, the log-variance and the variance of the project value, and two simulation-based procedures are proposed for estimating state-dependent volatility: two-level simulation and one-and-a-half-level simulation. Computational experiments show that both procedures perform better than the method proposed by Copeland and Antikarov and that the one-and-a-half-level simulation procedure leads to the most accurate estimations of project volatility.     

A NOTE ON BIAS IN CAPITAL BUDGETING INTRODUCED BY STOCHASTIC LIFE

This note extends work by Young and Contreras and by Rosenthal on the present worth of cash flows under uncertain timing. In capital budgeting analysis, the use of the expected life of a project instead of the life distribution of the project biases the estimate of its expected net present value. In most situations the bias results in an overestimate of the expected net present value of the project. When the exact life distribution is unknown, the bias can be approximated by Taylor series expansion. The sensitivity of the bias to the discount rate, to cash flow patterns, and to income taxes is also investigated.     

A discounted cash flow approach to the base stock inventory model

A widespread approach to inventory modelling is to associate costs with measures of system performance and determine the control policy which minimises the long run average cost per unit time. This type of approach ignores the impact of a control policy on the timing of the cash flows associated with payments to suppliers and revenue streams from customers. The approach in this paper is to concentrate on cash flows and determine the control policy which maximises the expected net present value of the cash flows associated with a demand, valued at the time when that demand occurs. There is a Poisson demand process, a fixed lead time, unsatisfied demand is backordered and the system is controlled using a base stock policy. A solution procedure is given and a comparison is made with an equivalent simple interest model and with the standard cost model with linear holding and shortage costs.     

Genetic Algorithms and Engineering Design

Viewing the future value of a cash flow stream as a polynomial in the compounding factor (being one plus the interest rate), this article uses Ruffini's rule in the synthetic division of a polynomial to provide insight linking several discounted cash flow analysis concepts. We use the polynomial remainder theorem to relate the concepts of divisor, quotient, and remainder to concepts in cash flow analysis—future value, present value, interest rate, account balance, and internal rate(s) of return—establishing a remainder theorem for the future value of a cash flow. Our exposition suggests that future value analysis is perhaps more direct and mathematically more transparent than attention paid to examining present value. This article extends previous work on the resolution of multiple rates of return when the interest rate used in our analysis equals an internal rate of return of the cash flow.     

Duration and the Risk Adjustment of Discount Rates for Capital Budgeting

Capital budgeting applications frequently necessitate the use of a discounting methodology to allow for time value of money, supplemented by payback calculation to assess liquidity risk. This paper explains how both concerns can be addressed in a single process by using duration measure in making discount rate adjustments which allow for the timing of the expected cash flows.     

Probability Distribution of the Project Payback Period Using the Equivalent Cash Flow Decomposition

For stochastic cash flows, probabilistic approaches to determine a complete distribution of payback period are very limited. The payback analysis based on the net present value (NPV) has several advantages. For annual cash flows, however, the NPV-based method does not provide a complete payback distribution. This article proposes a new technique, the equivalent cash flow decomposition (ECFD), which converts an annual cash flow into an equivalent subannual cash flow at a desired level of precision. The ECFD technique can be used in conjunction with any probabilistic cash flow technique. This article demonstrates that the ECFD technique overcomes the discontinuity limitation of the conventional NPV-based payback period method and generates a complete distribution of the payback period of annual cash flows. Examples indicate that the proposed method is robust with the accuracy comparable to Monte Carlo simulation.     

CEO Overconfidence,REIT Investment Activity and Performance

This is the first article to study the effects of overconfidence on trading activity and performance in real estate. The article looks at Real Estate Investment Trusts (REITs), as their investments and divestments can be identified with precision. We look at the effect of CEO overconfidence on investment activity and separately investigate property acquisitions and dispositions. We find that REITs with overconfident CEOs tend to invest more; these REITs acquire more assets and are less likely to sell assets than their counterparts if they have enough discretionary cash. Valuable private information is not the main driver for CEOs to be net buyers of company shares: the shares of their companies perform relatively weakly. In addition, we find that overconfident managers have lower property investment performance measured by net operating income and gain on sale of real estate.     

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.     

债务期限结构对公司投资行为影响——来自制造业上市公司数据

本文以我国上市公司中的制造业为研究样本,选取了2008年横截面数据,总样本为820个,实证检验了债务期限结构对投资行为的影响,结果表明:短期负债能约束企业的投资行为,长期负债对公司的投资行为提供了一定的资金支持。实证证明了负债融资的债务期限结构对公司的投资行为存在一定的差异。     

The IRR of a project with many potential outcomes

This article shows that the internal rate of return (IRR) of a project's expected cash flow stream is a weighted average of the IRRs offered by the project's (many) possible future outcomes, where the weights are calculated using the outcome probabilities and invested capital balances. Because the invested capital associated with a particular realization is a function of the Macaulay duration of the cash flows in that outcome, the weights depend on the outcome probabilities and the effective length of each cash flow stream.     

上市公司现金持有:权衡理论还是啄食理论

本文根据2000—2005年沪深股市586家A股上市公司的数据,考察了上市公司现金持有比率的决定因素。实证发现投资水平、资产负债率、现金替代物与现金持有比率负相关,债务期限结构和每股股利与现金持有比率正相关,现金流、企业规模、现金流波动率和财务实力的影响随不同的成长性而不同。实证结论更多地支持了啄食理论。     

Real Estate Investments,Product Market Competition and Stock Returns

By limiting operating flexibility, real estate investments are found to increase firm risk, thus expected returns. This study introduces product market competition as a critical determinant of the relation between real estate investments and stock returns. As part of capacity strategies, these investments are generally associated with increased market power and lower cash flow volatility in oligopolistic industries. I present a simple model of oligopolistic competition showing a negative relation between real estate holdings and firm beta, and empirically confirm this prediction. Controlling for product market competition enhances identification of the endogenous relation between real estate investments and stock returns.     

企业价值评估方法及在企业中的应用

分析了成本法、相对价值法、折现现金流量法和经济利润法等企业价值评估方法,并将各种具体的评估方式进行了正反两方面对比,界定了各自的适用范围,指出折现现金流量法和经济利润法是中国企业价值评估的发展方向。     

Hedging spot fuel oil in Singapore: Will the new SIMEX contract succeed?

We assess SIMEX's new market for fuel oil futures by examining its effectiveness in hedging a cash fuel oil position in Singapore. We find that the SIMEX contract can eliminate about two-thirds of the volatility of a Singapore cash position and is many times more effective than a cross-hedge constructed with overseas contracts. Given its potential usefulness as a hedging tool for the regional petroleum industry, we anticipate that the new contract will be a success.We are grateful to Mobil (New York) for making the Platt oil price data available to us and to Jim Bovenage specifically for accessing the data for us.     

Business cycle stylized facts and inventory behaviour: New evidence for the Euro area

The purpose of this paper is for the first time to use Business Tendency Survey data, first, to identify new facts that are useful for the interpretation of the decline in the volatility of real activity in the Euro area, and, second, to test the inventory management hypothesis as an explanation for the Great Moderation in Europe. We present stylized facts from the Business Tendency data on series for inventories, current production, current orders, and expected production for the Euro area, emphasizing the decline in the volatility of the series. Further, we investigate whether the decline in inventory volatility can be attributed to an endogenous change in the persistence of shocks to the accumulation dynamics of inventories or to an exogenous change in the shocks hitting the inventory optimisation process. Our results at Euro level generally indicate that there is no evidence of a break in the inventory accumulation process. On the contrary, the impact of exogenous shocks on inventory volatility appears to be steadily declining over time, beginning from the mid-1980s.