Industrial Real Options:
Public-Goods vs. Private-Goods Industries

Worapot Ongkrutaraksa*

© Spring 1996

 

Abstract

This study attempts to seek empirical evidence of real options from two types of industrial organizations: the public-goods and the private-goods firms. Theoretical concepts of real options suggest that there exists an investment opportunity for a firm, regardless of asset size, with high expected cash-flow uncertainty to make less commitment in its investment in fixed assets, and vice versa. The public-goods firms whose outputs are more demand-inelastic, thereby having a lower expected cash-flow uncertainty, would have a higher ratio of gross fixed assets to total assets than what the private-goods firms would have. Ten groups of industries in the U.S. are studied from 1990 to 1994; five of which supply the market with public goods and services and are used to compare with the other five that produce complementary goods and services for private consumption. The result conforms with the real-options hypothesis. 

 
  Introduction

Dixit and Pindyck (1994) and Trigeorgis (1996) explored thoroughly in their comprehensive text books on real options the notions of irreversibility, the ability to delay an investment, and the option to invest, and their importance in strategic capital budgeting, which is the expanded version of the traditional discounted cash flow approach. Their conceptual framework is grounded on the theory of option pricing and financial derivatives market that are applicable towards the opportunities (or time-value options) to acquire, expand, contract, switch, suspend, and abandon real assets (i.e., real options). They developed the basic theory of irreversible investment under uncertainty and emphasized the option-like features of investment/divestment opportunities upon which the optimal decision rules are based. From this theoretical work, many aspects of the firms' investment behavior deserve empirical verification whether or not they conform with its hypothesis.

One aspect that interests us from the standpoint of industrial organization is the determinant of the firms' investment behavior itself. In a highly deregulated market economy such as of the U.S., firms operate and compete freely with less government's structural interventions, even though certain kinds of discretionary fiscal and monetary interventions are implemented to achieve domestic economic goals and to prevent market failures. Nonetheless, their products and services are geared toward two distinct types of demand; one is the demand for public goods and the other for the more specific private goods. Since the demand for public goods is less sensitive or inelastic to price changes than the demand for private goods because of their necessity and high predictability characteristics, income derived from the former type of demand tends to be more stable than from the latter.

Given that perfect competition in the supply of both kinds of goods holds in the U.S. market, public-goods firms are considered relatively equally as efficient and competitive as their counterparts in the private-goods firms. Thus, we can comfortably imply from this presumption that the expected income or future cash flows of the public-goods firms are less volatile than those of the private-goods firms.The establishment of the perfectly competitive market environment in both kinds of goods in the U.S., with the only exception in demand elasticity difference between them, enables us to further imply that the optimal investment decision for the public-goods firms is to make a larger amount of investment commitment in their fixed assets relative to the private-goods firms. This assertion is therefore the main hypothesis to be tested in this study.

Review of Real Options Literature Back to Top

There has been no published literature that encompasses the aspect of real options implication on public-sector industries. Apart from the two main text books by Dixit & Pindyck and Trigeorgis mentioned earlier, there are some research papers on real options by themselves and other authors that address investment/divestment behavioral models in a general firm's context. Dixit (1989) examined the firm's entry and exit decisions when the output price follows a random walk, and the importance of hysteresis effects on those decisions. Pindyck (1993) theoretically discussed and modeled the irreversible investment decisions when projects take time to complete and are subject to uncertain costs. Trigeorgis (1990) demonstrated the application of an option-based numerical analysis method in the case of a natural resource investment opportunity. His subsequent papers focused on a generalized model using a log-transformed binomial numerical analysis method to value a complex multi-option investment (1991), and a nature of option interactions and the valuation of capital budgeting projects with flexibility in the form of multiple real options (1993).

In the area of temporary shut down or mothball option, McDonald and Siegel (1985) explored and analyzed a discrete project in which operation can be suspended when profits are negative and resumed at no additional cost if they subsequently turn positive. Brennan and Schwartz (1985) utilized the convenience yield derived from futures and spot prices of a commodity to determine the value of the options to temporary shut down and reopen a mine and to abandon it for salvage, but do not address the interactions among individual option values. Myers and Majd (1990) analyzed the option to abandon an asset for salvage value in relation to the asset's life. Merville and Mishra (1991) approached the real options from the right-hand side of the balance sheet discussing the relationship of capital investment and firm leverage. Grenadeir (1995) used real options approach to value lease contracts of several forms.

Yet, the relationship between real options and the nature of the firms' products and services has not been formally surveyed. Once this relationship has been established, it could lead to many other research interests in the fields of political economy, game-theoretic and information economics, as well as international finance, capital mobility, and foreign direct investment (FDI). In terms of domestic political economy implications, valuation of real options for various public expenditure programs would enhance the awareness of the government in designing appropriate investment incentives and formulating the flexible yet credible investment policies to stimulate or stabilize the economy. By intervening to alter real-options value of the investment through the manipulation of information asymmetry and policy discrimination in certain economic sectors, the government can signal ex ante or screen ex post the market participants to alleviate the problems of moral hazard and adverse selection which are the major causes of market failure. For international finance and capital movement issues, the less developed countries' governments can use the real-options framework to increase the attractiveness of state-owned enterprises' privatization programs for high-quality FDI and equity-based foreign capital inflows which not only bring in long-term investments but also transfer desirable technologies to the host countries. Research questions in these areas can be investigated in the more quantitative terms which will lead to many other theoretical and empirical issues of those interrelationships between the public-sector and the private-sector economies both domestically and internationally.

Research Methodology Back to Top

This study can be perceived as being a combination of exploratory and descriptive researches. It employs certain research techniques that would allow us to tackle both the breadth and the depth of the available data while providing flexibility from devising some normative criteria. This methodology section is divided into three parts: 1) research design approach, 2) sample design and data collection, and 3) data analysis and interpretation.

Research Design Approach

The objective of this study is to explore the evidence of real options from the secondary data available from Standard & Poors' CompuStat database through the comparison between two groups of sector-oriented industries - public-goods and private-goods firms - which are our main sources of variation (i.e., explanatory variable). The criterion or dependent variable on which its variation would be measured is the ratio between the industries' gross fixed assets (including property, plant, and equipment) and their total assets. The use of gross fixed assets instead of net fixed assets helps us to avoid the confounding from other source of variation generated by the different methods of depreciation. The approach for descriptive statistics is to conduct both cross-sectional and time-series (or longitudinal) analyses in a sequential order - cross-sectional first then pooled five-year time-series second.

Our research design's steps are as follows. First, the data will be classified into two main sectors labeled 1) public-goods and 2) private-goods, under which each has five accompanying subgroups being classified according to the SIC numerical index. Second, the data on fixed assets and total assets are manipulated cross-sectionally using total assets-weighted average method for each year from 1990 to 1994. Third, the averaged fixed assets to total assets ratios are pooled time-serially to account for any variation, if any, due to changes in time. And fourth, the results are tested to see if there are any statistically significant differences between the two groups' means, which will enable us to conclude that real options are more empirically evident in the private-sector than in the public-sector industries.

Sample Design and Data Collection

There are currently 9,469 firms listed in the S&P CompuStat database including the foreign firms whose stocks are American depository receipt (ADR) issues. These firms are grouped according to the standard industrial classification (SIC) indices. The financial data of firms with the same SIC number are aggregated to comprise the industry's financial data. Based on the two-digit SIC numerical index, 12 industries supply public-goods to the market.

SIC

Industry

40

Railroad Transportation

41

Transit and Passenger Transportation

42

Motor Freight Transportation

44

Water Transportation

45

Air Transportation

46

Pipeline, except Natural Gas

47

Transportation Services

48

Communications (Telephone, Radio, TV, Cable TV)

49

Electric, Gas, Water, and Sanitary Services

80

Health Services

82

Educational Services

83

Social Services

For the comparative purpose of this study, these public-goods industries are regrouped and handpicked in such a way that they can be matched as closely as possible with their counterparts in terms of complementary goods and services in the private-goods industries. However, educational and social services do not have any representative firms listed in the database. The regrouping occurs in the transportation industries where they are clustered together as one new big group, including railroad, transit and passenger, water, and air transportation industries but excluding motor freight, pipelines, and transportation services industries. Another industry that is subject to regrouping is the electric, gas, water, and sanitary services. The first three industries, i.e., electric, gas, and water, are clustered together to form the utilities group, whereas sanitary services are singled out to be its own separate group. As a result of regroupings, our candidate public-goods sector will be composed of:

Public-Goods Industry

Number of Firms

Percentage

Transportation

86

10.9%

Communications

249

31.6%

Utilities

239

30.3%

Sanitary Services

63

8.0%

Health Services

151

19.2%

Total

788

100.0%

With the total number of 788 firms comprising the public-goods sector, the same number for the private-goods sector is sought in order to balance them and to ensure that they are operating within a similar competitive environment, i.e., with the same number of competing firms within each industry and across the two sectors. The four-digit SIC index provides a more detailed information about the private-goods industries in terms of types and number of firms which allow us to select the most appropriate and complementary industries for matching and balancing with those in the public-goods industries. The regroupings and handpickings of the private-goods sector are given below:

Private-Goods Industry

Number of Firms

Percentage

Transportation Equipment

81

10.3%

Communication Equipment

248

31.5%

Electrical Equipment

240

30.5%

Food Products

53

6.7%

Pharmaceuticals

166

21.0%

Total

788

100.0%

The source of data from which we use to derive and manipulate the required variables is the aggregate annual balance sheet of each industry from 1990 to 1994. The ratios of gross fixed assets to total assets are calculated and then tabulated in Table 1. Table 2 shows the industry groups' mean ratios are derived cross-sectionally from the total assets-weighted average for each year. These proportional weights are given in Table 3. After the cross-sectional mean ratios are obtained, the time-series data are pooled and regressed to arrive at the general linear model statistical results within the ANOVA framework as given in Table 4.

Table 1
Gross Fixed Assets to Total Assets Ratios

Group of Industries

1990

1991

1992

1993

1994

1)Transportation:
 
Railroads

1.137

1.145

1.166

1.147

1.155

Passenger Transit

NA

NA

0.614

0.522

0.457

Water

1.016

1.043

1.024

1.033

1.059

Airlines

7.298

7.651

8.137

8.264

9.099

2) Transportation Equipment:
 
Motor Vehicles

0.437

0.463

0.487

0.503

0.522

Trucks & Buses

NA

NA

NA

0.461

0.405

Truck Trailers

NA

0.037

0.367

0.355

0.336

Aircrafts

0.581

0.615

0.617

0.608

0.534

Aircraft Engines

0.511

0.555

0.581

0.607

0.635

Aircraft Parts

0.467

0.467

0.501

0.569

0.549

Ship Building

0.619

0.519

0.321

0.506

0.464

3) Communications:
 
Radiotelephone

NA

0.443

0.454

0.401

0.433

Telephone

1.266

1.253

1.235

1.264

1.287

Radio Broadcast

NA

NA

0.227

0.198

0.174

TV Broadcast

NA

0.255

0.277

0.266

0.261

Cable TV

0.457

0.487

0.523

0.560

0.559

4) Communication Equipment:
 
Computer Commu.

NA

0.307

0.272

0.251

0.250

Tel. Apparatus

0.325

0.317

0.311

0.316

0.317

Radio/TV Eqm.

0.702

0.669

0.759

0.673

0.626

5) Utilities:
 
Electricity Gen.

1.132

1.155

1.163

1.095

1.126

Nat.Gas Transm.

0.918

0.992

1.000

1.043

1.164

Nat.Gas Tran/Dist.

1.054

1.551

1.073

1.099

1.125

Nat.Gas Dist.

1.243

1.266

1.271

1.252

1.259

Electricity Dist.

1.072

1.099

1.104

1.054

1.076

Water Supply

1.082

1.094

1.088

1.029

1.043

Cogeneration

0.840

0.809

0.806

0.820

0.787

6) Electrical Equipment:
 
Electric Eqm.

0.303

0.321

0.297

0.259

0.333

Indust. Apparatus

0.517

0.563

0.527

0.544

0.489

Motors/Generators

0.546

0.598

0.625

0.645

0.680

Household Appli.

0.476

0.504

0.517

0.509

0.492

Lighting/Wiring

0.454

0.482

0.477

0.476

0.460

Audio/Video

0.413

0.457

0.508

0.545

0.562

Elec. Accessory

0.558

0.629

0.619

0.599

0.564

Circuit Boards

NA

NA

0.533

0.480

0.499

Elec. Connectors

0.731

0.761

0.779

0.817

0.807

Elec. Components

NA

0.651

0.543

0.554

0.609

Miscellaneous

0.338

0.360

0.374

0.392

0.378

7) Sanitary Services:
 
Refuse Systems

0.723

0.738

0.763

0.775

0.778

Waste Mgmt

0.436

0.431

0.468

0.500

0.457

8) Food Products:
 
Food & Kindred

0.555

0.558

0.602

0.613

0.628

Meat Packing

0.408

0.449

0.453

0.468

0.480

Beverages

0.379

0.373

0.401

0.413

0.395

Malt Beverage

0.842

0.827

0.847

0.869

0.863

Canned Fruits

0.624

0.628

0.617

0.667

0.622

Cigarettes

0.176

0.184

0.189

0.218

0.256

9) Health Services:
 
Medical Doctors

NA

0.412

0.443

0.462

0.283

Hospitals

0.613

0.469

0.535

0.668

0.659

Surgical Hospitals

0.780

0.795

0.778

0.796

0.689

Medical Labs

0.416

0.434

0.433

0.439

0.377

Home Health Care

0.307

0.263

0.313

0.249

0.285

Skilled Nurses

0.790

0.803

0.779

0.780

0.682

Miscellaneous

0.402

0.317

0.308

0.265

0.264

10) Pharmaceuticals:
 
Pharmaceuticals

0.692

0.713

0.738

0.754

0.752

Table 2
Cross-sectional Total Assets-Weighted Average GFA Ratios

Group of Industries

1990

1991

1992

1993

1994

Transportation

1.837

1.929

2.003

1.999

2.085

Transport Eqm.

0.449

0.474

0.495

0.511

0.525

Communications

1.219

1.168

1.152

1.168

1.183

Comm. Eqm.

0.409

0.389

0.402

0.392

0.392

Utilities

1.110

1.152

1.139

1.092

1.116

Electrical Eqm.

0.340

0.364

0.352

0.322

0.388

Sanitary Services

0.692

0.713

0.738

0.754

0.752

Foods Products

0.477

0.487

0.516

0.532

0.543

Health Services

0.696

0.673

0.663

0.700

0.608

Pharmaceuticals

0.523

0.527

0.539

0.552

0.509

Table 3
Proportional Weights Based on Total Assets

Group of Industries

1990

1991

1992

1993

1994

1) Transportation:
Railroads

0.818

0.805

0.779

0.769

0.765

Passenger Transit

0.000

0.000

0.006

0.008

0.010

Water

0.067

0.074

0.093

0.101

0.106

Airlines

0.115

0.121

0.123

0.122

0.119

2) Transportation Equipment:
Motor Vehicles

0.902

0.905

0.909

0.912

0.906

Trucks & Buses

0.000

0.000

0.000

0.000

0.000

Truck Trailers

0.000

0.001

0.001

0.001

0.001

Aircrafts

0.054

0.053

0.053

0.054

0.063

Aircraft Engines

0.028

0.027

0.025

0.024

0.021

Aircraft Parts

0.005

0.006

0.005

0.005

0.004

Ship Building

0.010

0.009

0.006

0.004

0.004

3) Communications:
Radiotelephone

0.000

0.013

0.017

0.025

0.025

Telephone

0.943

0.901

0.897

0.886

0.879

Radio Broadcast

0.000

0.000

0.002

0.002

0.003

TV Broadcast

0.000

0.037

0.035

0.039

0.039

Cable TV

0.058

0.049

0.050

0.048

0.054

4) Communication Equipment:
Computer Commu.

0.000

0.028

0.043

0.057

0.064

Tel. Apparatus

0.777

0.766

0.759

0.710

0.678

Radio/TV Eqm.

0.223

0.206

0.198

0.233

0.258

5) Utilities:
Electricity Gen.

0.508

0.509

0.512

0.528

0.524

Nat.Gas Transm.

0.050

0.049

0.051

0.047

0.050

Nat.Gas Tran/Dist.

0.048

0.033

0.048

0.044

0.044

Nat.Gas Dist.

0.116

0.123

0.103

0.098

0.097

Electricity Dist.

0.253

0.259

0.252

0.254

0.255

Water Supply

0.008

0.009

0.009

0.009

0.010

Cogeneration

0.016

0.017

0.019

0.019

0.019

6) Electrical Equipment:
Electric Eqm.

0.742

0.739

0.745

0.769

0.722

Indust. Apparatus

0.006

0.005

0.005

0.005

0.006

Motors/Generators

0.004

0.004

0.003

0.003

0.003

Household Appl.

0.059

0.058

0.050

0.046

0.056

Lighting/Wiring

0.036

0.034

0.035

0.029

0.031

Audio/Video

0.112

0.118

0.114

0.104

0.126

Elec. Accessory

0.004

0.004

0.005

0.005

0.007

Circuit Boards

0.000

0.000

0.004

0.005

0.006

Elec. Connectors

0.013

0.013

0.013

0.013

0.014

Elec. Components

0.000

0.002

0.004

0.004

0.005

Miscellaneous

0.025

0.023

0.023

0.019

0.025

7) Sanitary Services:
Refuse Systems

0.894

0.916

0.915

0.923

0.920

Waste Mgmt

0.106

0.084

0.085

0.077

0.080

8) Food Products:
Food & Kindred

0.388

0.434

0.437

0.439

0.426

Meat Packing

0.048

0.044

0.044

0.046

0.047

Beverages

0.240

0.222

0.222

0.225

0.244

Malt Beverage

0.116

0.110

0.107

0.106

0.114

Canned Fruits

0.036

0.035

0.039

0.036

0.043

Cigarettes

0.172

0.154

0.151

0.148

0.127

9) Health Services:
Medical Doctors

0.000

0.055

0.064

0.051

0.076

Hospitals

0.151

0.136

0.125

0.071

0.055

Surgical Hospitals

0.402

0.353

0.356

0.502

0.519

Medical Labs

0.076

0.077

0.070

0.049

0.046

Home Health Care

0.059

0.063

0.048

0.055

0.045

Skilled Nurses

0.296

0.291

0.302

0.238

0.225

Miscellaneous

0.016

0.026

0.036

0.034

0.035

10) Pharmaceuticals:
Pharmaceuticals

1.000

1.000

1.000

1.000

1.000

Data Analysis and Results Interpretation

The following regression model is used in our data analysis:

Yijt = at + biIit + gjSjt + eijt
where
Yijt = Assets-weighted average gross fixed assets to assets ratio (GFA) of the ith industry group in jth sector in tth year.
at = Based-level GFA ratio in tth year.
bi = Industry parameter.
Iit = Industry dummy variable in tth year.
gj = Sector parameter.
Sjt = Sector dummy variable in tth year.
eijt = Random residual.

The corresponding effect model for these same data for ANOVA is as follow:

mijt = m + at + Ii + Sj
where
mijt = Combined mean effects
m = Overall mean effect
at = Longitudinal mean effect (Time-series treatment variable)
t = {1990, 1991, 1992, 1993, 1994}
Ii = Industrial mean effect (Cross-sectional treatment variable)
i = {transportation vs. transport equipment., communication vs. communication equipment, utility vs. electrical
equipment., sanitary vs. foods, and healthcares vs. pharmaceuticals}
Sj = Sectoral mean effect (Blocking variable)
j = {public sector, private sector}

The results of general linear model regressed under the ANOVA framework analyzed using the SAS statistical package are shown in Table 4 below.

Table 4
General Linear Regression & ANOVA Outputs

Source of Variation

df

Sum of Squared

Mean Squared

F-Ratio

Pr>F

Year

4

74.02693

18.50673

0.02

0.9987

Industry

4

26,209.41369

6,552.35342

8.85

0.0001

Sector

1

57,335.13845

57,335.13845

77.44

0.0001

Error

40

29,614.47409

740.36185

   
Total

49

113,233.05316

     

R-Square

 

Coeff. of Variation

Root MSE

Y-Mean

 

0.738464

 

34.227020

27.20929

79.4974

 

Using Fisher's Least Significant Difference (LSD) Test of different means of each source of variation, the results show that there is no significant difference in longitudinal mean effect (at) and industrial mean effect (Ii) except for transportation industry, but there is a significant difference between sectoral effect (Sj) as follow:

S1 = Sectoral mean of five public-goods industry groups
S2 = Sectoral mean of five private-goods industry groups
 
Ho: S1 = S2 against Ha: S1 ¹ S2
Critical t0.025,40 = 2.021 against LSD's t = 15.554
Decision Rule: Reject Ho if |t| > LSD t-value.

Results of the Study

From the results of statistical comparison and inference conducted in the previous section, there is a strong indication that real options are more evident in the private sector than in the public sector in its relatively lower commitment in fixed assets across industries and over time. It is expected that these results are more sharply contrasted between regulated and unregulated industries in which competitive intensity between the two groups differs.

Conclusion and Recommendation Back to Top

It is concluded that in the highly competitive markets in both public and private sectors of the U.S. economy, there exist real options such that the private-sector industries with equal number of firms and whose products and services are complementary to those of the public-sector industries will make relatively less commitment in fixed assets investment. In the same token, the public-sector industries whose expected future cash flow streams are less uncertain and less elastic to price changes than those of the private-sector industries tend to be highly committed to the long-term illiquid capital investments.

For future research in this area, it is recommended that efforts be put into the quantification and valuation of public-sector real options in different competitive environments as well as across the nations. To this research direction will the applications of real options be of greater benefits in the areas of domestic economic policy-making, dynamic game theory with asymmetric information for the prevention and alleviation of market failures, and strategic foreign economic policy initiatives of the emerging and transitional economies to attract and retain high-quality FDI. More specific research can be done at the firm level where causalities between product prices, investment costs, project's time frame, and the firm's investment/divestment behavior, as theoretically modeled in the recent literatures, can be tested.


References

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Dixit, A. (1989). "Entry and Exit Decisions under Uncertainty." Journal of Political Economy, 97, 3, 620-638.

Dixit, A., and Pindyck, R. (1994). Investment under Uncertainty. Princeton: Princeton University Press.

Grenadier, S. (1995). "Valuing Lease Contracts: A Real-Options Approach." Journal of Financial Economics, 38, 297-331.

McDonald, R., and Siegal, D. (1984). "Option Pricing when the Underlying Asset Earns a Below-Equilibrium Rate of Return: A Note." Journal of Finance, 39, 261-265.

Merville, L., and Mishra, C. (1991). "Capital Investment and Firm Leverage: A Corporate Real-Options Approach." Research in Finance, 9, 49-73.

Myers, S., and Majd, S. (1990). "Abandonment Value and Project Life." Advances in Futures and Options Research,4, 1-21.

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Trigeorgis, L. (1991). "A Log-Transformed Binomial Numerical Analysis Method for Valuing Complex Multi-option Investments." Journal of Financial and Quantitative Analysis, 26,3, 309-326.

Trigeorgis, L. (1993). "The Nature of Option Interactions and the Valuation of Investments with Multiple Real Options." Journal of Financial and Quantitative Analysis, 28, 1, 1-20.

Trigeorgis, L. (1996). Real Options: Managerial Flexibility and Strategy in Resource Allocation. Cambridge: The MIT Press.

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* Worapot Ongkrutaraksa is a lecturer in Finance and Strategic Management at Maejo University's Faculty of Agricultural Business, Chiang Mai, Thailand. He used to conduct his post-graduate research in financial economics at Kent State University and international political economy at Harvard University through the Fulbright sponsorship between 1995 and 1998.

E-mail: [email protected]

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