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Real Options for Port Infrastructure Investments
P. Taneja, M.E. Aartsen, lA. Annema, M. van Schuylenburg
Abstract- Ports are a vital part of the maritime transportation system. The urgent need for redevelopment of
older ports and investments in port expansions, and the
dilemma of a long payback time etched with uncertainty calls for new strategies. Flexibilities in a (real) system, that enable it to change according to the future that unfolds, are known as real options. An evaluation technique, commonly known as Real Options Analysis, can be applied to value flexibility during project appraisal. This can improve decision-making related to port investments and asset management.
I. INTRODUCTION
Ports are a vital part of the maritime transportation system
and the economy of a nation. Port infrastructure includes
the entrance channels, berths, quay walls, cargo handling
equipment, storage yards and sheds, hinterland connections,
administrative buildings, and security structures. The global
trends in trade, transport, and logistics are placing increasing
demands on port infrastructures [1]. In addition to the routine
and restorative maintenance, there is an urgent need for
adaptation and redevelopment of older ports, and new
investments in port expansions. Added to the requirement of
huge capital investments in large scale infrastructures is the
dilemma of a long payback time for the investments, etched
with a great deal of uncertainty. All of these have led many in
the port sectors to seek new strategies to face and manage
these challenges.
Meanwhile, a new paradigm has replaced the conventional
notion that risk is undesirable [2] - [4]. It recognizes that risk
and uncertainty also provide opportunities, and that it is
important to reduce downside losses, and capture upward
opportunities. This can be done through incorporating
flexibility so that an infrastructure system can be adapted
according to the future that unfolds. Such flexibilities related
to real systems and projects are known as real options. These
can be built in a system, or be inherent to an engineering
Manuscript received July 1, 2010. This research is carried out within the framework of Port Research Centre Rotterdam-Delft and Next Generation Infrasructures, and sponsored by Water Research Centre Delft and Public Works Department Rotterdam.
P. Taneja is a part time researcher at Delft University of Technology (OUT), and is employed at the Public Works Department, Rotterdam as design engineer ([email protected])
M.E. Aartsen is Investment Manager at the Port of Rotterdam Authority and advises the executive board on investment decisions, participations and other economic issues ([email protected])
lA. Annema is Assistant Professor Transport Policy at OUT and has worked at the Netherlands Environmental Assessment Agency and the Netherlands Institute for Transport Policy Analysis ([email protected])
M. van Schuylenburg is a Manager Projects at the Port of Rotterdam Authority and a technical expert in transport logistics. (m. [email protected]).
system (though not always recognized). Incorporating
flexibility (i.e., a real option) into a system comes at a cost,
e.g., extra investments, or smaller stages investments which
can mean missing out on economies of scale, loss of market
and revenue, or project delays. A method for economic
evaluation, that enables planners to make a trade-off between
the value of incorporating flexibility and the cost of doing so,
is commonly given the name Real Options Analysis (ROA).
The use of this method is in general not widespread, and even
more limited in the maritime sector.
In this paper we examine how far the practices related to
investment decision making and asset management at the Port
of Rotterdam (PoR) can benefit from a real options approach
(which represents real options thinking and analytical
techniques). We attempt to find an answer to the following
questions through examining ports as infrastructure systems:
What are the limitations of the current evaluation methods
for Port of Rotterdam (Section UB)?
Which tools can help to evaluate the costs and values of a
system with flexibility (Section nC)?
What kind of flexible features does an infrastructure
system possess (Section IlIA)?
How can we recognize these features (Section IllB)?
What types of models are recommended to evaluate
projects facing major uncertainties in the port sector, such
as future demand and new technology (Section IV)?
Based on the answers, we draw conclusions in Section V over
the relevance and significance of modem evaluation methods
for the port sector.
n. EVALUATION METHODS
A. Standard practice at PoR
The Port of Rotterdam Authority (PoRA) is the developer
and manager of the PoR, the fourth largest port in the world.
It provides space, and invests in infrastructure for its clients in
addition to public infrastructure such as road-, rail-, inland
waterway and pipeline connections. The major goal, just as
any other private enterprise, is profit making for its
shareholders. Three types of projects can be distinguished at
PoR: site or real estate related client projects, public- or
nautical infrastructure related public projects, and a third
category which includes strategic and internal projects [5].
Only the client projects generate revenues for the port. Before
making an investment decision, a business case, which is a
test of the viability of a project, is set up. It forecasts the
present and future cash flows over the economic lifetime of
the project, and the financial feasibility of a project is
determined by applying discounted cash flow method (DC F)
which is standard practice for project appraisal world wide
for the last 30 years. An investment criterion of minimum
internal rate of return (IRR) of 8.5% has been set up for most
projects, and it is assumed that all risks are completely
accounted for by the discount rate.
The uncertain factors related to a project e.g., future cargo
flows, investment costs, project lifetime, raw material and
product prices, interest and exchange rates, tax and regulatory
policies, all have an impact on the projected cash flow. This
impact is taken into account by considering a certain positive
and negative variation around the base case scenario, which
results in an optimistic and pessimistic scenario. If a project
seems to face larger risks, say, because of uncertain demand,
a higher rate of return is used, or alternatively, the payback
period, normally set to 25 years, is reduced.
B. Limitations in the evaluation procedure
The decision making process with respect to project
investments is linear, and selects among a set of alternatives
to fulfill a project goal, without the possibility of interactions
or feedbacks. The (highly subjective) estimate of the discount
rate is likely to change over time with changing market
conditions and opportunity costs associated with other
projects at the firm. Further, the DCF method assumes that
decisions are made now, and will not change later, so that the
cash flow streams for future are fixed for the course of the
project. Flexibility in decision-making, design and
operations, enhances the value of a project, but cannot be
included in the standard DCF methods. This lack of suitable
analytical and evaluation techniques has been for long, a
barrier against investments in flexibility.
In summary, the financial techniques such as OCF method
are adequate for a stable environment, where the projects
have deterministic requirements and the management has a
clear strategy. But port projects, due to their long lifetime,
face the challenge of uncertainty, and require new techniques.
C. Real options analysis
Flexibilities related to real systems and projects are known
as real options (RO). RO can be created on decisions, or built
in physical infrastructures [6], [7]. These options are
extremely valuable in times of uncertainty. Among the many
modern evaluation methods, e.g., Decision Tree Analysis
(OT A), Monte Carlo Simulations, Real options Analysis
(ROA), and Portfolio optimization, ROA is said to have most
potential for investments under uncertainty [4], [14], [24].
RO for investment decisions have been mentioned in recent
government documents in the Netherlands [8], [9].
ROA is a systematic and integrated decision analysis
process, based on pioneering work by Black and Scholes in
1973. It is a technique that originated in the financial world
that now applies the thinking behind financial options to
evaluate physical or real assets. It is the right, but not the
obligation to take an action, affecting a real physical asset at a
predetermined cost, for a predetermined period of time [10].
ROA estimates the value of each cash flow stream by finding
a portfolio of traded securities that generates the same cash
flow stream and then uses the market value of this portfolio as
the estimate of market value of the cash flow stream. It uses
OCF methods as a building blocks (in fact, for a no
uncertainty situation, DCF is a special case of ROA), and uses
the same approach as OT A, but combines it with a consistent
valuation model.
III. FLEXIBILITY IN INFRASTRUCTURE PROJECTS
A. Introduction
Real options are sometimes embedded in a project, at other
times they have to be created and defined, through strategic
thinking, skilful negotiation, and wise investment decisions.
Infrastructure projects in general, permit integration of
physical attributes that makes flexibility in function, use and
operation feasible. Similarly, management generally
possesses a degree of flexibility in decision making (and can
use include mechanisms which permit this flexibility). These
two aspects of flexibility in infrastructures (Fig. 1) are
discussed here.
1) Flexibility in decision making ('on' infrastructures)
In most infrastructure investments, deferment or staged
investments are feasible. Phasing of major capital
investments allows taking advantage of new knowledge as
uncertainty clears with time. An example is the
pre-engineering phase, wherein environmental impact
studies, geotechnical surveys, traffic volume analysis or
market expectation studies are used determine the viability of
a project. Traditional valuation methods cannot evaluate the
benefits offered by these learning options.
Infrastructure projects are market or demand driven. In
port projects, the demand refers to cargo or ship traffic, and in
a real estate project, the demand could be for office or
housing space. Construction of such projects could be phased
in response to development of demand. The project could be
abandoned, expanded or contracted depending on demand
Fig.1 Types of flexibility in infrastructures
shifts or switched to another cargo sector or function.
An infrastructure project involves (long-term) contracts
with clients, financiers and construction contractors, all
involving much uncertainty. Yet other projects are high-risk,
consequently various mechanisms are included to deal with
such uncertainty by allowing parties to react to unexpected
events and to hedge against risks. These mechanisms can
include cargo guarantees, revenue guarantees, company
guarantees, partnerships, reduced payback period, etc. All of
these represent flexible options in a contractual package.
According to real options theory, all options have value and
should be included in the project evaluation.
Governments often grant various forms of support for
infrastructure projects, which may include a subsidy, a
guarantee or even a direct capital contribution, which would
add direct value to the project as well as indirect value by
attracting investors. The design of such contractual elements
is subjective due to shortfall in methods of evaluation. These
options must be accounted for in the negotiation stage or the
true value of the project might deviate substantially from
what was perceived at the onset of such an agreement [11]
[12]. ROA can be applied for designing such options.
2) Physical flexibility ('in' infrastructures)
Value can be created by building in physical options so that
a system can adapt in response to new or different functional
requirements. The result is a lengthened economic (useful)
lifetime and reduced risk of loss of investment. This is most
valuable if done early in a project. Some examples are:
designing a quay wall which can carry the weight of a future
larger crane, or a stronger foundation for vertical expansion
of a structure in the future. Another example is buildings
which are designed to be used both as houses and offices.
This means extra initial costs, but offers (in the strongly
cyclic office market), considerable flexibility advantages
later. Similarly, value can be created by incorporating options
that make flexible strategies during operation phase possible.
E.g., a quay wall used for handling inland ships in addition to
deep sea ships will provide operational flexibility for the
terminal operator, (though it requires extra investment in
equipment).
B. Identifying real options in projects
Real Options are not implicitly recognized by
organizations such as PoR since they do not form a part of the
DCF method, and real options thinking does not belong to the
firm's culture. A list of questions has been compiled on the
basis of a literature study [13] [14] in Table l. Answering
these questions can help a project manager to identifY if
flexible options exist in an infrastructure project. This is
illustrated with an example.
Case of a port project with options
In the period 1996-1999, PoR formed a consortium with
one of its clients Odfjell Terminals Rotterdam BV and some
other firms, to investigate the innovative concept for storage
of oil products in a quay wall. Besides the expected benefits
due to multi-functionality, this would win (scarce) space in
the existing port. After an initial economic evaluation, if the
innovative alternative proved non-viable, a traditional quay
wall with a single function of mooring ships would be
constructed for the client. A lot of time, money and research
and engineering effort went into developing a technically
feasible design concept. However, this innovative design
proved to be expensive, and when the business case for
various parties proved to be non-viable, the project was given
a no-go. The traditional alternative was selected. An analysis
of the project, based on criteria in Table 1, follows.
The success criterion with respect to this project is profit
(measured in terms of IRR). The major source of uncertainty
is the economic feasibility of the innovative alternative; this is
mainly a market risk. This uncertainty will not be resolved
over a short time, and since the client needs the facilities
soon, the decision cannot be postponed. The project involves
contingent decisions; therefore, the decision-making can be
phased. The first phase will involve conceptual designs and
estimation, after which one of the two alternatives will be
selected. The second phase will involve construction of the
selected alternative. Flexibility in changing project direction
is available only at the end of first phase. This project can
create growth opportunities, since the innovative
multi-functional quay concept can be used at various
locations and for many clients in the port, and save scarce
space. Such a project has following options embedded in it
(Table 2), which can be exercised by the owner of the options,
i.e., PoRA.
Option
TABLE 1 IDENTIFYING REAL OPTIONS
Establish success criteria
What is the success criterion with respect to this project? Reduce uncertainty
What are the sources of uncertainty in this project? Can you shape this uncertainty? Can you do research get more information on the uncertainties? Can you insure or hedge against some of the risks? Can you transfer risks to those that are most capable to manage them?
IdentifY managerial options
Are the sources of uncertainty in this project private or market risks? When will the uncertainty be resolved? Is it advantageous to postpone decisions? Can decision-making be phased? Are there contingent decisions in the project? Is there flexibility in changing project direction to maximize its value? What is the investment cost in relation to the estimated payoff? Will this project create other growth opportunities? If so, is it possible to include their potential value in the business case? What are the actions required to obtain or retain flexibility? Can project be abandoned after the start and salvage value collected?
IdentifY design options
Can some of the following be incorporated in the design? Modularity Adaptability to changing functions Evolvability with reference to new technology
IdentifY operational options
Can the processes/ operations be made flexible? Set up decision rules
What are the actions req uired to change strategy? What is the decision rule for changing strategy?
TABLE 2
OPTIONS AVAILABLE IN ODFJELL PROJECT
o tion Do nothing option Build a new quay wall Form a collaboration Invest in a feasibility study of innovative infrastructure Choose traditional alternative in place of innovative solution Lease extra quay capacity to another client Sell design concept to another client Negotiate revenue guarantees with Odfjell Terminate collaboration *Sell assets/ share in projects
T e
growth option
staging and learning option switching option put option put option
abandonment option
Initiate arbitration process in case of breach call option of contract, claimin com ensation
* As landlord port PoR would NOT exercise this option
It is possible to include the potential value of many of these
options in the project value through an ROA, in which case,
the business case might have been feasible. Through real
options thinking, the parties could have recognized that the
investment in the first phase was a learning option. It would
result in an option of being able to sell the innovative concept
to other port users to be applied at other locations in the port.
The business cases were based on a ceiling price which
included quantified risk in categories such as unexpected
events and incomplete design due to innovative nature of the
project. In reality, these risks would be much lower for
subsequent projects. Even in absence of exact quantification,
revealing these options to the management might have
convinced them to select the innovative solution, instead of
the traditional solution.
IV. REAL OPTIONS METHODS FOR PORT OF ROTTERDAM
A. Introduction
This section discusses real option models for dealing with
the major uncertainties in port projects and their limitations. It
also makes recommendations that could prove beneficial for
projects and situations at PoR
B. Real options modelling for port projects
The selection of a real options model begins with
identification of uncertainties in the system, which require
flexible solutions. The major uncertainties for ports are
demand and future technology (e.g., evolution in ship sizes
and in equipment, transport-, handling- and logistic
concepts). Flexible options incorporated in designs to handle
these uncertainties can be valued using methodologies
indicated in Table 3 based on [15].
If the value of the flexible design is defined solely by the
(single) uncertain market variable, financial methods may be
used to provide guidance on the value of the flexible design.
These include the Black-Scholes formula for call options
[16], [17], and the binomial lattice model [18], [19].
If the major source of uncertainty is a non-market variable
or if the market variable is an input to another function that
determines project value and exercise is based on economic
rather than physical terms, then a simulation model based on a
cost-revenue model under uncertainty is appropriate [10],
[20], [21]. The economic criteria could be the NPV, the
payback period, or even total costs over the lifecycle of the
infrastructure in case the benefits are difficult to estimate. The
objective, in most cases, is to compare alternatives (designs
with or without different forms of flexibilities)
If exercise of the design's flexibility depends on how the
system performs physically in the future, a simulation model
that includes an engineering model of the system's physical
performance under uncertainty is needed.
Some examples of evaluation of projects with managerial
options using Black-Scholes formula and binomial models
can be found in [14], [24], but their applicability for PoR
market in their current form needs more research, as
discussed in the following section.
C. Limitations of ROA for the PoR market
The financial option pricing models assume that the rate of
return on the underlying asset is lognormally distributed, the
prices are random which assures that markets are competitive,
and allows pricing models to work; the volatility is known
TABLE 3
EVALUATION MODELS FOR PORT PROJECTS
Uncertainty Demand throu2hput Future technolo2Y Type of market non-market uncertainty
Source of historical data, expert expert opinion, iriformation opinion, monitoring monitoring external
external environment environment Evaluation - Monte Carlo model based Monte Carlo simulation model on cost- revenue model based on cost-
revenue for flexible designs
Assumptions/ - Exercise based on Exercise based on Requirements economic criteria- economic criteria rather
Financial model requires than physical path independence and a performance complete market
Limitations choice of probability choice of probability distributions and discount distributions and rate is subjective discount rate is
subjective
and constant and complete liquidity of the underlying asset
[14]. The port market is very different from the financial
market, which limits the use of RO models based on options
theory for the port market in Rotterdam
Firstly, the value of an engineering project depends on the
path taken, whereas the value of stocks is determined solely
by supply and demand. New venture or activities can
influence the project value, so that the criteria of path
independence are not met.
Secondly, the port market cannot be called a complete
market. The port dues and land lease rent are the main sources
of revenue for the PoR (approx. in the ratio 55% and 45%).
Often, concessions or subsidy arrangements in the contractual
agreements with the terminal operator are incorporated to
shape demand or limit risks. The current practice is to hedge
against the market risks by means of guarantees which lead to
a minimum return on investment of 6% - 7% for client related
projects. The other major source of income is the land lease
tariffs which are determined per project by the PoRA (land
owner), based on a variety of considerations. The land market
thus does not conform to requirements of a complete market.
The more or less monopolistic position of PoR may also
contribute to the market imperfection.
Complete markets also assume that all external effects have
been internalized. However, costs such as the costs of
congestion (resulting in reduced handling capacity and
service quality and can therefore be seen as lost revenues) are
generally not discounted in the price. Similarly, benefits such
as increased efficiency due to clustering of similar companies
are also not included in the revenue figures.
Models based on options theory require quality data over
costs and revenue as well as an insight in the volatility of
these parameters. Financial markets, with innumerable
transactions involving valuation of stocks, have enough data
for volatility estimation, but other markets may be different.
Simulation models, on the other hand, can prove useful in
supporting decision making. And real options thinking, or a
qualitative approach to real options can make enormous
contribution as well, as discussed in the following section.
D. Recommendations for PoR projects
Having examined various evaluation methods for port
projects and markets, we will now make some
recommendations that could benefit projects and situations at
PoR.
1) Business case under uncertainty
A simulation model using historical data if available, and
otherwise, expert opinion to define the distribution of
uncertain variables, as well as the relationship between the
variables, seems to be the most realistic for evaluation of port
projects. The source of uncertainty is expressed as a value
function in a cash-flow model. The resulting probability
distribution of NPV and additional statistical parameters
provide relevant and more complete information for financial
analysts and decision makers. This requires little effort, and
the results are easy to understand.
Phasing should be incorporated in all projects if the
investment horizon is sufficiently long, and if feasible within
the constraints of the client's requirements, procedures and
legalities. Phasing provides the option to alter plans (e.g.,
speed up, defer, or abandon a project) in case of altered
circumstances. Maasvlakte 2 is an ongoing port expansion
project requiring extensive construction. Phased construction
gives PoR the option to abandon the following phase of the
project, and avoid a part of the capital expenditure if the
market deteriorates.
PoR is exploring investment opportunities in foreign ports.
ROA using simulations can be a useful tool for selecting
between different locations, which offer different
combinations of land purchase costs, local and state taxes,
and supporting infrastructure.
2) Valuingflexibility
Flexibility in design, operations, and management
decision-making can enable the managers to develop
strategies to react to changing circumstances, take advantages
of opportunities and insure themselves against downside risk.
Simulation models can be applied to evaluate the value of this
flexibility in designs. Examples can be found in [21], where
the design of a flexible quay wall for bigger future ships, and
a flexible design of mooring dolphins with reserve capacity
have been evaluated.
3) Incorporating and valuing contractual options
Cargo-guarantees, revenue-guarantees, collaborations,
partnerships, reduced payback period etc., all represent
flexible options in a contractual package and should be
included in the project evaluation.
4) Research and development and innovation
PoR has an extensive R&D agenda, which focuses on
product, process and social innovation. E.g., PoR is debating
on pilot projects in the existing Rotterdam area in order to
study the feasibility of multi-user terminals. These would
increase the utilization rate of existing quay waJls and result
in flexibility for the users. The initial effort of such pilot
projects is small, and the subsequent phase need only be
initiated if the results are promising. This creates upside
opportunity while reducing downside risks. Similarly the
planned innovative projects, e.g. in cooperation with General
Electric can be seen as learning options justifying
investments [22].
5) Flexibility considerations (real options thinking)
According to [23], analytical, quantitative tools, even ones that can model dynamic decision-making, are not able to model the more qualitative nature of uncertainty. But in the face of high uncertainty, a qualitative approach to the finance side of project analysis is also essential. The RO framework
could be used to - qualitatively define, structure, and understand a project's uncertainties; recognize the value of flexibility in decision making; formalize the problem of choosing among technically feasible alternative forms of flexibility; help decision-makers to consider options that might be ignored at time nil, thus decreasing economic exposure to risk.
V. CONCLUSIONS
Infrastructure projects often encompass flexible options
which may be physical or managerial in nature. Such
flexibilities related to real systems and projects are known as
real options. Traditional economic analysis does not include
the value of this flexibility, and grossly underestimates the
true intrinsic value of a project.
Flexibility, innovation, and research and development are
crucial for success of projects, but involve extra costs. These
costs can be justified if included in the economic analysis as
valuable options which can result in future benefits.
Simulation models seem to be most relevant of all proposed
analysis techniques, for engineering projects and for the PoR
market. Such an analysis requires time and effort, but it
reveals the true potential project value, which facilitates
better decision-making for project appraisal and asset life
cycle management. Real options thinking compels decision
makers to take into account a life cycle perspective and
consider flexible options which will decrease economic
exposure to risk.
The following sequence of steps is recommended
pertaining to projects at Port of Rotterdam:
Qualitatively define, structure, and understand a project's
uncertainties;
Consider all available investment alternatives at time zero
(including 'no-project option' or 'change policy');
Recognize the value of flexibility and include flexible
design alternatives;
Include flexible strategies (e.g. staging, delay, growth,
engineering processes are amenable to this);
Describe the possible futures with decision trees and
future uncertainties with probability for added insights;
Apply DCF, simulations, decision tree analysis or real
options analysis depending on the situation (objective of
analysis, validity of assumptions, ease of use and
interpretation).
REFERENCES
[I] T. Notteboom and W. Winkelmans, "Structural changes in logistics: how will port authorities face the challenge?," Maritime Policy
and Management, vol. Vol. 28 No. I, pp. 71-89, 2001. [2] R. de Neufville, Applied Systems Analysis: Engineering planning and
technology management. New York: McGraw-Hili Inc. New York, 1990.
[3] A K. Dixit and R. S Pindyck, Investment Under Uncertainty. Princeton, NJ Princeton University Press, 1994.
[4] 1. A Dewar, Assumption-Based Planning: A tool for RedUCing Avodable Surprises: Cambridge University Press, 2002.
[5] PoR, "PM@PoR," Port of Rotterdam, Internal report, 2010. [6] M. A Cardin and R. de Neufville, "Direct Interaction Approach to
Identify Real Options In Large-Scale Infrastructure Systems," vol. MIT, MA, 2009.
[7] T. Wang and R. de Neufville, "Real Options in Projects," presented at the Real Options Annual International Conference in, Paris, France, 2005.
[8] C. Koopman and F. van Beek, "Toekomstvaste infrastructuur of flexibele opties? Omgaan met scenarios in het investeringsbeleid" ed. Kennisinstituut Mobiliteits Mangement, 2007.
[9] CPBINEI, "Evaluatie van Infrastructuurprojecten; leidraad voor kostenbatenanlyse," O. E. E. Infrastructuur, Ed., ed, 2000.
[10] R. de Neufville, et al., "Real Options by Spreadsheet: Parking Garage Case Example," ed. 2005.
[II] CY1. Cheah and 1. Liu, "Valuing governmental support in infrstructure projects as real options," Construction Maangement and Economics, vol. 24, pp. 545-554, 2006.
[12] S. Charoenpornpattana, T. Minato, S. Nakahama, "Government Supports as bundle of Real Options in Built-Operate-Transfer Highways Projects". Available:
http://www.realoptions.org/papers2003/CharoenMinatoNakaham a.pdf
[13] M. A. Cardin, et aI., "Extracting Value from Uncertainty: A Methodology for Engineering Systems Design," in INCaSE 2007 - 17th Annual International Symposium Proceedings, 2007.
[14] P. Kodukula and C. Papudesu, Project Valuation Using Real Options: A Practitioner's Guide. Fort Lauderdale: US: 1. Ross Publishing, 2006.
[15] L. V. Greden, "Flexibility in building design: A real options approach and methodology to address risk," Phd thesis, MIT, Massachusetts 2005.
[16] F. Black and M. T. Scholes, "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, vol. 81, pp. 637-654, 1973.
[17] R. A. Brealey and S. C. Myers, Principles of Corporate Finance Massachusetts Institute of Technology, 2003.
[18] 1. C. Cox, et aI., "Option Pricing A Simplified Approach," Journal of Financial Economics, vol. 7, 1979.
[19] T. Copeland and V. Antikarov, Real Options: A practitioner's guide: Texere Publishing Limited, New York, NY., 2001.
[20] O. de Weck, and C. Eckert, "A Classification of Uncertainty for Early Product and System Design," 2007.
[21] P. Taneja, W.E.Walker, H. Ligteringen, and M. van Schuylenburg, "Adaptive port planning using Real Options," fAME 2010, Portugal, 2010.
[22] Havenbedrijf Rotterdam N.V., "Annual Report 2008," Rotterdam2008. [23] T. M. Alessandri, D.N. Ford, et al., "Managing risk and uncertainty in
complex capital projects," The Quarterly Review of Economics and Finance vol. 44, pp. 751�767, 2004.
[24] 1. Mun, Real Options Analysis: Tools and Techniques for valUing strategic investments and decisions, Wiley finance series, 2002.