Valuation of Technology-Based Companies

Author(s):  
João Zambujal-Oliveira ◽  
César Serradas

The cash flows of technology-based companies show high degrees of uncertainty. As traditional valuation methods can hardly capture these characteristics, they are insufficient for valuing these kinds of companies. On the contrary, real options theory can quantify the value associated with management flexibility, growth opportunities, and synergies. This chapter assesses the corporate value of a technology-based company. By gathering information from historical cash flows and using Monte Carlo simulations, the chapter generates future returns paths and primarily uses them for valuations by discounted cash flow methods. The generated volatility is subsequently used to value the measurement carried out by real options theory. The value obtained under the real options binomial approach is about 40% higher than the one obtained by the discounted cash flow method. This difference can be attributed to the value associated with uncertainty and flexibility.

Author(s):  
Ernesto Heredia-Zavoni ◽  
Sandra Santa-Cruz

Real Options methods are currently used to assess investment projects considering: (1) the decision options that one can have along the development of the project, such as to expand it, or reduce it, or to abandon it, or to differ it, and (2) the uncertainty in some financial variables for the assessment of the economic investment. In these two regards, Real Options methods are superior to the traditional Net Present Value method. The purpose of the present paper is to establish the basis for Real Options modeling for decision making on design, inspection, maintenance, and decommissioning of offshore structures. The use of Real Options theory is sought in order to account for: (1) uncertainties in the financial variables involved in risk assessment based on expected costs, such as the economic consequences due to failure of a system; and (2) uncertainties associated with the resistance and loading of the structure for reliability assessment. An application of Real Options Theory is given in the paper for decision making on maintenance for an offshore structure. Cash flow from oil revenue is modeled as a stochastic process. Preventive and corrective maintenance is analyzed as a critical situation where the decision maker has the option to pay the costs of maintenance in order to obtain a benefit. Expressions are derived for the estimation of the value of the maintenance option; they are based on the derivation of the Black-Scholes equation for the evaluation of financial options. It is shown that the value of such project is equal to the sum of the net cash flow of the project (as with a Net Present Value evaluation) plus the value of the maintenance option. Projects with one and two decision times along the life of the structure are formulated and analyzed. Closed form solutions are obtained for such cases. An example is given in order to illustrate the differences between maintenance decisions using the Net Present Value and the Real Options method.


2009 ◽  
Author(s):  
Αδαμαντία Βέρρα

Οι παραδοσιακές μέθοδοι Προεξόφλησης των Ταμειακών Ροών (Π.Τ.Ρ) δεν είναι κατάλληλες για την αξιολόγηση επενδυτικών σχεδίων που χαρακτηρίζονται από αβεβαιότητα (uncertainty), μη αναστρεψιμότητα του επενδεδυμένου κεφαλαίου (irreversibility) και διοικητική ευελιξία στη λήψη αποφάσεων (managerial flexibility). Για την αξιολόγηση των επενδύσεων αυτού του τύπου η θεωρία των Πραγματικών Δικαιωμάτων Προαίρεσης (Π.Δ.Π) αποτελεί τη βέλτιστη εναλλακτική πρακτική (Dixit & Pindyck, 1994). Υποκεινούμενη από τη συνεχή αναδιάρθρωση των ενεργειακών αγορών και το αυξημένο ενδιαφέρον για τις επενδύσεις σε Ανανεώσιμες Πηγές Ενέργειας (Α.Π.Ε) που οφείλεται κυρίως στις περιβαλλοντικές ανησυχίες, χρησιμοποιώ τη θεωρία των χρηματοοικονομικών Δικαιωμάτων Προαίρεσης προκειμένου να κατασκευάσω ένα “εργαλείο” αξιολόγησης επενδυτικών σχεδίων που λαμβάνει υπόψη του τα ανωτέρω χαρακτηριστικά στην υλοποίηση ενός επενδυτικού σχεδίου υπό συνθήκες αβεβαιότητας στα έσοδα. Για το λόγο αυτό χρησιμοποιώντας τη θεωρία των Π.Δ.Π. (Real Options Theory), αξιολογώ την επενδυτική απόφαση υλοποίησης ενός αιολικού πάρκου στην Ελλάδα και προσπαθώ να βρω τη βέλτιστη επενδυτική απόφαση, τη σχέση μεταξύ εσόδων και επένδυσης όταν οι ταμειακές εισροές ακολουθούν τη διαδικασία Επιστροφής στο Μέσο (G.M.R.process) καθώς επίσης και την επίδραση των παραμέτρων της οικονομίας και της επένδυσης στην απόφαση και στην πιθανότητα υλοποίησης του επενδυτικού σχεδίου. Η παραδοσιακή μέθοδος της Καθαρής Παρούσας Αξίας (Κ.Π.Α) χρησιμοποιείται επικουρικά για να δείξουμε ότι σε ένα δυναμικό περιβάλλον όπου οι τιμές ηλεκτρισμού παρουσιάζουν μεγάλη διακύμανση, οι προσεγγίσεις Π.Τ.Ρ (Disounted Cash Flow Methods) δεν παρέχουν βέλτιστες λύσεις. Για την εύρεση της αξίας του Δικαιώματος επένδυσης, της βέλτιστης επενδυτικής απόφασης και της μέτρησης του αντίκτυπου της αβεβαιότητας στην επένδυση μέσω ενός μέτρου πιθανότητας, ήταν αναγκαία η επίλυση της εξίσωσης Kummer μέσω μιας Coonfluent Hypergeometric συνάρτησης, η χρήση διασυνοριακών συνθηκών (value matching, smooth pasting), η εφαρμογή της Implicit Finite Difference μεθόδου και η χρησιμοποίηση των προγράμματων Mathematica και Matlab. Τα βασικά αποτελέσματα του υποδείγματός μου μπορούν να συνοψιστούν ως εξής: (1) παρά την απελευθέρωση των αγορών ενέργειας, τα έσοδα που προκύπτουν από την τιμολόγηση της ενέργειας σε ένα ρυθμιζόμενο σύστημα (feed-in tariff system), μπορούν εξίσου να αναπαραχθούν και σε ένα δυναμικό περιβάλλον όπως είναι η Ευρωπαϊκή Αγορά Ενέργειας (ΕΕΧ), (2) εάν στόχος του φορέα χάραξης πολιτικής είναι να ενθαρρύνει περαιτέρω την πραγματοποίηση των επενδύσεων σε αιολικά πάρκα, μια διαφοροποιημένη πολιτική επιχορήγησης βασισμένη στο συντελεστή ισχύος (C.F) κάθε επενδυτικού σχεδίου πρέπει να εφαρμοστεί, (3) οι παράμετροι της οικονομίας και του επενδυτικού σχεδίου επηρεάζουν την πιθανότητα υλοποίησης της επένδυσης, (4) όταν η αβεβαιότητα και η αναστρεψιμότητα είναι παρούσες, οι τυποποιημένες μέθοδοι Π.Τ.Ρ. δεν είναι κατάλληλες να χρησιμοποιηθούν ως πολιτική ή ρυθμιστικό εργαλείο στον καθορισμό της βέλτιστης πολιτικής τιμολόγησης. Η κύρια συμβολή της διατριβής μου στην υπάρχουσα βιβλιογραφία αφορά: (1) τη μοντελοποίηση των στοχαστικών ταμειακών εισροών ενός επενδυτικού σχεδίου στον τομέα των Α.Π.Ε. χρησιμοποιώντας τη στοχαστική διαδικασία Επιστροφής στο Μέσο (G.M.R process), (2) τη χρήση του μέτρου πιθανότητας που εισήγαγε ο Sarkar (2003) προκειμένου να μελετήσω την επίδραση της αβεβαιότητας εισοδήματος στη βέλτιστη απόφαση επένδυσης, (3) τη χρήση πραγματικών δεδομένων από την Ελληνική και Γερμανική Αγορά ενέργειας προκειμένου να εξετάσω την εγκυρότητα του θεωρητικού μου υποδείγματος, και (4) τη χρήση των Πραγματικών Δικαιωμάτων Προαίρεσης ως εργαλείο στη χάραξη ενεργειακής πολιτικής.


2010 ◽  
Vol 105-106 ◽  
pp. 798-801
Author(s):  
Bao Cheng He ◽  
Hong Tao Jiang ◽  
Shu Zhi Yao ◽  
Bao Yuan He

The success of ceramic companies is highly dependent on research and development (R&D). Thus, a pivotal aim of management is to allocate resources to the best scientific and financial R&D projects. But the valuation of ceramic R&D is a difficult task for managers. The conventional discounted cash flow (DCF) methods fail to consider the value of managerial flexibility provided by R&D projects. Real options Analysis (ROA) offers a superior way of capturing the value of flexibility. It enables decision-maker to value projects more accurately by incorporating managerial flexibilities into the valuation model. However, ROA can’t effectively deal with the volatility of parameters in itself under high uncertain circumstance. In view of the limitation of ROA, this paper uses Monte Carlo simulation to solve the parameters volatility problems. In the end, the case study proves that Monte Carlo simulation can improve R&D investment decisions, especially for highly unpredictable ceramic R&D projects.


2021 ◽  
Vol 18 (1) ◽  
pp. 67-74
Author(s):  
A. A. Solodov

The method of discounted cash flows (DCF) is one of the main and popular methods of economic assessment of business, which is used all over the world. However, the actual behavior of business projects evaluated by this method often differs from that predicted, and the difference can be tens of times.It should be noted that at present, the discounted cash flow method is a subject of extensive literature, but there are no analytical arguments for large discrepancies between the theory and practice of the method. The aim of the study is to provide a theoretical explanation of the forecasting errors inherent in the discounted cash flow method. The research method is related to the analysis of the traditional method of discounted cash flows, which shows that the key indicator that affects the final result is the net income for a certain period of time. Analyzing the economic content of the flows that appear in the formation of net income, we can conclude that for a trade-type enterprise, the cash flow of receipts associated with current operations is significantly random and, therefore, requires the use of stochastic description methods.The paper offers a mathematical model of the mentioned cash flow. It is assumed that the event associated with a purchase (cash receipt) is modeled on the time axis by a point with a random time of occurrence. Then, obviously, the number of points n that appear on a fixed time interval will be a random number. A justification is given for the fact that the point process is a Poisson random point process or simply a Poisson point process, in which the times of occurrence of points W1 ,W2 , ..., Wi and their number N(t) at time t are random variables. We introduce the function λ(t), which characterizes the average number of cash receipts (purchases) per unit of time. From an economic point of view, it is driven by consumer preferences of buyers, and from a mathematic point of view it is a function of the intensity of appearance of points of the Poisson process. The monetary values of purchases made by customers are described by random positive ui values which arise at the Wi moments of the occurrence of shopping events, simulate a random process of cash receipts at the enterprise.Introduction to the consideration of the random Poisson flow of business receipts and their values, which are also random positive values with an arbitrary probability distribution, is the key assumption of the work. The proposed approach allowed us to develop a stochastic model of the company’s revenues, generalize the method of discounted cash flows, obtain a number of simple ratios, and on this basis explain the growth of the method forecast error with an increase in the duration of the forecast horizon.New results of the study are the use of stochastic methods to describe business revenues and expressions obtained on this basis for the variance and standard deviation of the company’s net cash flow, depending on the number of forecasting periods. It is shown that the growth of the standard deviation of the net cash flow, i.e. the forecasting errors, is a fundamental feature of the method in this interpretation. For the initial estimates, a simple expression is obtained and corresponding graphs are given.In conclusion, it is noted that the presented graphs of the behavior of the standard deviation of the method estimates show that the estimate from below of the mentioned deviation slowly grows with an increase in the number of prediction periods and depends only on the number of periods. It is noted that this growth is calculated in relation to the first forecast period, which itself may contain errors, and it is determined only by consumer preferences. Of course, you can choose the forecast period not a month, but, for example, a year, but then the error of the first period will be significantly increased. Thus, this review makes it possible to explain some aspects of the growth of the error of the discounted cash flow method with the forecast time.


2014 ◽  
pp. 264-270
Author(s):  
Marian Turek ◽  
Adam Sojda

The article presents the use of real options in determination of mining enterprise value. The value estimation is based on discounted cash flow method. The adoption of fuzzy numbers allows introducing a risk aspect to the known method of determination of enterprise value. A classic discounted cash flow method uses one scenario on the basis of which one value is determined. The method presented is grounded on three scenarios: optimistic, the most probable, pessimistic. On this basis the values defining a fuzzy number are indicated. Algorithm of this defuzzification, based on the idea of real options enables indicating a concrete value.


2017 ◽  
Vol 65 (6) ◽  
pp. 899-908
Author(s):  
M. Klimek ◽  
P. Łebkowski

AbstractThe paper analyses the problem of discounted cash flow maximising for the resource-constrained project scheduling from the project contractor’s perspective. Financial optimisation for the multi-stage project is considered. Cash outflows are the contactor’s expenses related to activity execution. Cash inflows are the client’s payments for the completed milestones. To solve the problem, the procedure of backward scheduling taking into account contractual milestones is proposed. The effectiveness of this procedure, as used to generate solutions for the simulated annealing algorithm, is verified with use of standard test instances with additionally defined cash flows and contractual milestones.


2004 ◽  
Vol 9 (3) ◽  
pp. 315-333 ◽  
Author(s):  
ROBERTO C. YAP

The Philippine forest plantation lease is modelled as an option whose value arises from market uncertainty and the irreversibility inherent in sunk costs required to establish plantations. The value of this option could be a significant factor in the planting decisions of leaseholders. Real options theory could help explain why in spite of the prospects of adequate financial returns, Filipino leaseholders are slow to establish plantations. The opportunity cost of investing is demonstrated to be highly sensitive to uncertainty of the future value of the plantation. Real options analysis is also utilized to evaluate policies intended by the Philippine government to promote plantation development.


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