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XHK 330.4
I). Shestakov
COMPANY’S SOURCE OF FINANCING VALUATION USING
STRATEGIC REAL OPTION APPROACH
The article is devoted to the investigation and evaluation o f the company expanded NPV depending on
its availablefinancing options using real option approach that synthesize the newest developments in cor­
poratefinance and real options and game theory It enables to estimate the value o fmanagerial decisions,
and thus is suitable to valuing strategy and itsflexibility
Keywords: strategic real options, game theory, strategic planning, strategy valuation, real option effect,
expanded net present value (ENPV), discounted cash flow (DCF), terminal value (TV), free cash flow to eq­
uity (FCFE), exercise value (EV).
Problem descriptionand the analysis of the
last publications. Any project whether it is launch­
ing or developing requires financing, that in most
cases is covered by own funds just partially, where­
as the rest of by attracted facilities. On the other
hand, financing attraction varies in different forms,
such as loan, mezzanine, equity financing, or even
concluding forward contracts. Therefore, the dilem­
ma of better choice between available financing op­
tions almost exists [1].
Correct decision thus is especially important as a
real option implies the value that includes any direct
and indirect costs and benefits connected with using
such an option, besides its direct influence on in­
vestment attractiveness ratios and ultimate valua­
tion of a project. Moreover, since financing attrac­
tion requires a valid business valuation, the real op­
tion effect is an integral part of any calculations
connected with such.
By and large, corporate or strategic real option
models synthesize the newest developments in
corporate finance and real options and game theo­
ry to help bridge the gap between traditional cor­
porate finance and strategic planning [7]. It ena­
bles to estimate the value of managerial deci­
sions, and thus is suitable to valuing strategy and
its flexibility [5; 6].
Purpose of investigation. The purpose of our
investigation is to assess the company expanded Net
Present Value (ENPV) depending on its available fi­
nancing options using simplistic real option method
that does not conclude to Black-Scholes approach
whereas direct and indirect costs reflecting only.
Methodology descriptionand main results of
the research. In pursuit of its decision-making
goals, real-options modeling conclude into ENPV,
rather than simple NPV, that is much more relevant
base for either a feasibility study of any project, an
investment and managerial decision. The key here is
that ENPV criterion incorporates, along with simple
NPV of expected cash flows from an immediate in­
vestment, the flexibility of the combined options
embedded in the project [7].
In our modeling we apply DCF (Discounted
Cash Flow) approach rather than standard NPV one
as its analog [3]. Fundamental difference between
them, from the one hand, is that in the first case we
can apply different discount rate through analyzed
periods whether the latter applies single discount
rate (left-site part of DCF Value formula below).
From the other hand, using DCF valuation we apply
Terminal Value (TV, right-site part of DCF Value
formula below) that is the present value at a future
point in time of all future cash flows when we ex­
pect stable or perpetuity growth rate forever. TV is
most often used in multi-stage cash flow analysis
and allows for the limitation of cash flow projec­
tions to a several-year period.
FCFE
DCF V a l u e - + (1)
where, FCFE (Free Cash Flow to Equity) is the
cash flow paid to the equity shareholders ofthe project
after all expenses, reinvestment and debt repayment
where
1
^ (1 + r}n CFT V = -------U + r j (2)
r - growth rate Cl + r)
Having modified NPV, i.e. DCF Value, we as­
sess Exercise Value (EV) of each option that is the
present value of managerial decisions including all
direct and indirect costs connected with each of
them. Combining modified NPV with EV we ad­
justed to Expanded NPV.
FCFE
ENFV - I ( T T r r ' TV ' EV (3)
© Ulecmame ff. 10., 2014
Шестаков Д. Ю. Оцінка вартості джерел фінансування компанії за допомогою стратегічних реальних опціонів 79
1 Fund Raising
Finane mg Options
I I Loan facilities
2 Mezzanine financing
.3. Equity financing
2 Forward Contract
2 1 Decrease investments
2 2 Use Current facilities
Fig. 1. Financing Options decision tree
The company considered three development op­
tions which are basement for further capital expendi­
ture (CapEx) and all consecutive calculations includ­
ing available forms of financing, these are:
1) company follows its investment plan without
any delay in development with funds required to be
raised in the amount of USD 7,4 mln;
2) company decreases investments within current
year (0 period) up to USD 2,4 mln by postponing it
for the consecutive period (I period);
3) company delays its development based on new
equipment purchase until the consecutive period and
keeps on working on old (further - Current) facilities.
Basing on the development options, two funda­
mentally different financing options available to the
Company are common fund raising and concluding
forward contract with five subsequent options showed
on the fig. 1.
In the table 1 Company's financing options are
decrypted by the key distinctive constituents.
We applied present value approach with regard
to all cash inflows and outflows used in fund raising
expense calculations, options exercise value and
Company expanded value (ENPV) estimation.
From the tables 2 and 3 showed below we can
see the exercise value of a particular financing op­
tion and its impact on Company valuation respec­
tively. Behind that, it becomes clear the ENPVs are
also depended on Total Discounted FCFE measure,
though in a smaller degree.
Basing on the available financing options and
Company ENPV respectively, we can resume that
the most appropriate option to choose is 2.2. - con­
cluding forward contract with delay in development
until the consecutive period and keep on working on
the current facilities, that is depicted on the figure 2.
By and large, real options valuation brings about
a clear conclusion that the most beneficial choice is
using forward contract financing. To understand
Table 1. Financing Options Description
Financing
Options
1
Common Fund Raising
2
Concluding Forward Contract
1.1.
Raising loan facilities by 15,0%
rate per annum
-
1.2.
Attraction of mezzanine financing
based on IRR 30,0 % cost
-
1.3.
Attraction of equity financing
based on IRR 40,0 % cost -
2.1. _
Financing through concluding forward contract with a
5,0 % discount in price, 2,5% insurance rate
2.2. -
Financing through concluding forward contract with
a 10,0% discount in price, 2,5 % insurance rate, 10%
production losses
Table 2. Options Exercise Value Assessment
FinancingOptions 1.1. 1.2. 1.3. 2.1. 2.2.
Initial fund raising expense, mln USD (0,40) (0,40) (0,40) (0,97) (0,62)
CapEx debt service cost, mln USD (1,24) (2,23) - - -
WorkCap debt service cost, mln USD (0,12) (0,03) - (0,80) (0,19)
Other indirect costs, mln USD - (2,09) (7,36) - (0,15)
Productionlosses, mln USD - - - - (0,15)
Equityalienation, mln USD - (2,09) (7,36) - -
ExerciseValue, mln USD (1,76) (4,74) (7,76) (1,77) (0,96)
Source: Author’s calculations based on [1; 2].
Table 3. Company ENPV Valuation
FinancingOptions 1.1. 1.2. 1.3. 2.1. 2.2.
Company ENPV, mln USD 34,47 31,66 28,20 34,71 35,82
Total Discounted FCFE, mln USD 6,92 7,10 6,65 7,18 7,48
Exercisevalue, mln USD (1,76) (4,74) (7,76) (1,77) (0,96)
Terminalvalue, mln USD 29,30 29,30 29,30 29,30 29,30
80 НАУКОВІ ЗАПИСКИ. Т. 159. Економічні науки
1 1 Fund Raising
Financing Options
I I E N P V - USD 34.5mln
I 2 B N P V -U S D 31.7m In
13 ENPY = USD 28.2 mln
12 Forward Contract
K J
2 1 ENPV » USD 34.7 mln
2 2 ENPV - USD 35.8 m b
Terminal Value
USD 29.3 mln
Fig. 2. Financing Options Decision Tree by ENPV
how real option approach helps us in decision mak­
ing, we can depict ENPV by its constituents via de­
cision tree showed on the figure 3.
Conclusions. We find out using real option ap­
proach is more appropriate method to assess a com­
pany value under various financing options exist­
ence and therefore much better tool for a decision­
making than standard Net Present Value approach,
that doesn't disclose all variables of an option in a
proper manner and thus affects true profitability and
investment attractiveness.
Further research potential includes but not
limited by investment timing modeling in com­
bine with dynamic modeling, as well as with oth­
er financial models. Moreover, different range of
1.1. EV / Total Disc.FCFE
USD (1.8) mln /6.9 mln
1 Fund Raising
< r
12 EV / Total Disc FCFE
USD (4.7) mln 7.1 mln
1 3 EV Total Disc FCFE
USD (7.7) mln 6.5 mln
2 Forward Contract
2 1 EV / Total Disc FCFE
U S D (l,8 )m ln /7 .2 mln
2 2 EV /T otal Disc FCFE
U SD (1.0) mln / 7.5 mln
Fig. 3. Expanded Net Present Value Constituents
tools can be applied, i.e. synchronization of
Excel-model with Matlab in terms of generation
massive and random data, substitution method
usage for consecutive sensitivity and Value at
Risk analysis of the latter.
The upcoming work will synthesize strategic re­
al options and Harry Markovitz's efficient portfolio
approaches. Following the efficient portfolio ap­
proach we will use Expanded NPVs and Standard
Deviations to analyze and pick up the best combina­
tion of both.
References
Ван Хорн Д. К. Основыфинансовогоменеджмента /
Д. К. Ван Хорн, Д. М. Вахович мл. - 12-е изд. - СПб : Ви­
льямс, 2008. - 1232 с. 5.
Кит П. Управленческая экономика. Инструментарий руково­
дителя/ П. Кит, Ф. Янг. - 5-е изд. - СПб :Питер, 2008. - 624 с.
Огиер Т. Настоящая стоимость капитала: практическое ру- 6.
ководство по принятию финансовых решений / Т. Огиер,
Д. Рагман, JI. Спайсер. ; пер. с англ. В. Теплых, А. Ватчен-
ко. - Днепропетровск : Баланс Бизнес Букс, 2007. - 288 с. 7.
Abel A. Options, the value of capital, and Investment /
A. B. Abel, A. K. Dixit, J. C. Eberly, R. S. Pindyck ; MIT-
CEEPR 95-006. - Massachusetts : Massachusetts Institute of
Technology, 1995. - 22 p.
Dixit A. K. Investment under uncertainty / A. K. Dixit,
R. S. Pindyck ; Library of Congress Cataloging-in-Publication
Data. - Princeton : Princeton University Press, 1994. - 468 p.
Luehrman T. A. Strategy as a portfolio ofreal options / Timothy
A. Luehrman ; Reprint Number 98506. - Boston : Harvard
Business Review, 1998. - P. 89-99.
Smit H. T. J. Strategic Investment: real options and games /
H. T. J. Smit, L. Trigeorgis. - Princeton : Princeton University
Press, 2004. - 459 p.
Шестаков Д. Ю.
ОЦІН КА ВАРТО СТІ ДЖ ЕРЕЛ Ф ІНАНСУВАННЯ КОМ ПАНІЇ ЗА
ДОП ОМ О ГОЮ СТРАТЕГІЧНИХ РЕАЛЬН ИХ О ПЦІОНІВ
У статті досліджено та оцінено розширену чисту приведену вартість компанії (ENPV) залеж­
но від доступних джерел фінансування за допомогою методики реальних опціонів, що є синтезом
найновішихрозробок в сфері корпоративних фінансів, реальних опціонів та теорії ігор. Використа­
ний підхід дозволяє оцінити вартість управлінськихрішень та відповідно здійснити оцінку страте­
гії та її гнучкість.
Ключові слова: стратегічні реальні опціони, теорія ігор, стратегічне планування, оцінка стратегії,
ефект реальних опціонів, розширена чиста приведена вартість (ENPV), дисконтовані грошові потоки
(DCF), вартість постійного грошового потоку (TV), вартість вільного грошового потоку капіталу
(FCFE), вартість виконання (EV).
Матеріал надійшов 15.02.2014

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SCIENTIFIC PAPERS NAUKMA. ECONOMICS. VOL 159 (2014)

  • 1.
  • 2. XHK 330.4 I). Shestakov COMPANY’S SOURCE OF FINANCING VALUATION USING STRATEGIC REAL OPTION APPROACH The article is devoted to the investigation and evaluation o f the company expanded NPV depending on its availablefinancing options using real option approach that synthesize the newest developments in cor­ poratefinance and real options and game theory It enables to estimate the value o fmanagerial decisions, and thus is suitable to valuing strategy and itsflexibility Keywords: strategic real options, game theory, strategic planning, strategy valuation, real option effect, expanded net present value (ENPV), discounted cash flow (DCF), terminal value (TV), free cash flow to eq­ uity (FCFE), exercise value (EV). Problem descriptionand the analysis of the last publications. Any project whether it is launch­ ing or developing requires financing, that in most cases is covered by own funds just partially, where­ as the rest of by attracted facilities. On the other hand, financing attraction varies in different forms, such as loan, mezzanine, equity financing, or even concluding forward contracts. Therefore, the dilem­ ma of better choice between available financing op­ tions almost exists [1]. Correct decision thus is especially important as a real option implies the value that includes any direct and indirect costs and benefits connected with using such an option, besides its direct influence on in­ vestment attractiveness ratios and ultimate valua­ tion of a project. Moreover, since financing attrac­ tion requires a valid business valuation, the real op­ tion effect is an integral part of any calculations connected with such. By and large, corporate or strategic real option models synthesize the newest developments in corporate finance and real options and game theo­ ry to help bridge the gap between traditional cor­ porate finance and strategic planning [7]. It ena­ bles to estimate the value of managerial deci­ sions, and thus is suitable to valuing strategy and its flexibility [5; 6]. Purpose of investigation. The purpose of our investigation is to assess the company expanded Net Present Value (ENPV) depending on its available fi­ nancing options using simplistic real option method that does not conclude to Black-Scholes approach whereas direct and indirect costs reflecting only. Methodology descriptionand main results of the research. In pursuit of its decision-making goals, real-options modeling conclude into ENPV, rather than simple NPV, that is much more relevant base for either a feasibility study of any project, an investment and managerial decision. The key here is that ENPV criterion incorporates, along with simple NPV of expected cash flows from an immediate in­ vestment, the flexibility of the combined options embedded in the project [7]. In our modeling we apply DCF (Discounted Cash Flow) approach rather than standard NPV one as its analog [3]. Fundamental difference between them, from the one hand, is that in the first case we can apply different discount rate through analyzed periods whether the latter applies single discount rate (left-site part of DCF Value formula below). From the other hand, using DCF valuation we apply Terminal Value (TV, right-site part of DCF Value formula below) that is the present value at a future point in time of all future cash flows when we ex­ pect stable or perpetuity growth rate forever. TV is most often used in multi-stage cash flow analysis and allows for the limitation of cash flow projec­ tions to a several-year period. FCFE DCF V a l u e - + (1) where, FCFE (Free Cash Flow to Equity) is the cash flow paid to the equity shareholders ofthe project after all expenses, reinvestment and debt repayment where 1 ^ (1 + r}n CFT V = -------U + r j (2) r - growth rate Cl + r) Having modified NPV, i.e. DCF Value, we as­ sess Exercise Value (EV) of each option that is the present value of managerial decisions including all direct and indirect costs connected with each of them. Combining modified NPV with EV we ad­ justed to Expanded NPV. FCFE ENFV - I ( T T r r ' TV ' EV (3) © Ulecmame ff. 10., 2014
  • 3. Шестаков Д. Ю. Оцінка вартості джерел фінансування компанії за допомогою стратегічних реальних опціонів 79 1 Fund Raising Finane mg Options I I Loan facilities 2 Mezzanine financing .3. Equity financing 2 Forward Contract 2 1 Decrease investments 2 2 Use Current facilities Fig. 1. Financing Options decision tree The company considered three development op­ tions which are basement for further capital expendi­ ture (CapEx) and all consecutive calculations includ­ ing available forms of financing, these are: 1) company follows its investment plan without any delay in development with funds required to be raised in the amount of USD 7,4 mln; 2) company decreases investments within current year (0 period) up to USD 2,4 mln by postponing it for the consecutive period (I period); 3) company delays its development based on new equipment purchase until the consecutive period and keeps on working on old (further - Current) facilities. Basing on the development options, two funda­ mentally different financing options available to the Company are common fund raising and concluding forward contract with five subsequent options showed on the fig. 1. In the table 1 Company's financing options are decrypted by the key distinctive constituents. We applied present value approach with regard to all cash inflows and outflows used in fund raising expense calculations, options exercise value and Company expanded value (ENPV) estimation. From the tables 2 and 3 showed below we can see the exercise value of a particular financing op­ tion and its impact on Company valuation respec­ tively. Behind that, it becomes clear the ENPVs are also depended on Total Discounted FCFE measure, though in a smaller degree. Basing on the available financing options and Company ENPV respectively, we can resume that the most appropriate option to choose is 2.2. - con­ cluding forward contract with delay in development until the consecutive period and keep on working on the current facilities, that is depicted on the figure 2. By and large, real options valuation brings about a clear conclusion that the most beneficial choice is using forward contract financing. To understand Table 1. Financing Options Description Financing Options 1 Common Fund Raising 2 Concluding Forward Contract 1.1. Raising loan facilities by 15,0% rate per annum - 1.2. Attraction of mezzanine financing based on IRR 30,0 % cost - 1.3. Attraction of equity financing based on IRR 40,0 % cost - 2.1. _ Financing through concluding forward contract with a 5,0 % discount in price, 2,5% insurance rate 2.2. - Financing through concluding forward contract with a 10,0% discount in price, 2,5 % insurance rate, 10% production losses Table 2. Options Exercise Value Assessment FinancingOptions 1.1. 1.2. 1.3. 2.1. 2.2. Initial fund raising expense, mln USD (0,40) (0,40) (0,40) (0,97) (0,62) CapEx debt service cost, mln USD (1,24) (2,23) - - - WorkCap debt service cost, mln USD (0,12) (0,03) - (0,80) (0,19) Other indirect costs, mln USD - (2,09) (7,36) - (0,15) Productionlosses, mln USD - - - - (0,15) Equityalienation, mln USD - (2,09) (7,36) - - ExerciseValue, mln USD (1,76) (4,74) (7,76) (1,77) (0,96) Source: Author’s calculations based on [1; 2]. Table 3. Company ENPV Valuation FinancingOptions 1.1. 1.2. 1.3. 2.1. 2.2. Company ENPV, mln USD 34,47 31,66 28,20 34,71 35,82 Total Discounted FCFE, mln USD 6,92 7,10 6,65 7,18 7,48 Exercisevalue, mln USD (1,76) (4,74) (7,76) (1,77) (0,96) Terminalvalue, mln USD 29,30 29,30 29,30 29,30 29,30
  • 4. 80 НАУКОВІ ЗАПИСКИ. Т. 159. Економічні науки 1 1 Fund Raising Financing Options I I E N P V - USD 34.5mln I 2 B N P V -U S D 31.7m In 13 ENPY = USD 28.2 mln 12 Forward Contract K J 2 1 ENPV » USD 34.7 mln 2 2 ENPV - USD 35.8 m b Terminal Value USD 29.3 mln Fig. 2. Financing Options Decision Tree by ENPV how real option approach helps us in decision mak­ ing, we can depict ENPV by its constituents via de­ cision tree showed on the figure 3. Conclusions. We find out using real option ap­ proach is more appropriate method to assess a com­ pany value under various financing options exist­ ence and therefore much better tool for a decision­ making than standard Net Present Value approach, that doesn't disclose all variables of an option in a proper manner and thus affects true profitability and investment attractiveness. Further research potential includes but not limited by investment timing modeling in com­ bine with dynamic modeling, as well as with oth­ er financial models. Moreover, different range of 1.1. EV / Total Disc.FCFE USD (1.8) mln /6.9 mln 1 Fund Raising < r 12 EV / Total Disc FCFE USD (4.7) mln 7.1 mln 1 3 EV Total Disc FCFE USD (7.7) mln 6.5 mln 2 Forward Contract 2 1 EV / Total Disc FCFE U S D (l,8 )m ln /7 .2 mln 2 2 EV /T otal Disc FCFE U SD (1.0) mln / 7.5 mln Fig. 3. Expanded Net Present Value Constituents tools can be applied, i.e. synchronization of Excel-model with Matlab in terms of generation massive and random data, substitution method usage for consecutive sensitivity and Value at Risk analysis of the latter. The upcoming work will synthesize strategic re­ al options and Harry Markovitz's efficient portfolio approaches. Following the efficient portfolio ap­ proach we will use Expanded NPVs and Standard Deviations to analyze and pick up the best combina­ tion of both. References Ван Хорн Д. К. Основыфинансовогоменеджмента / Д. К. Ван Хорн, Д. М. Вахович мл. - 12-е изд. - СПб : Ви­ льямс, 2008. - 1232 с. 5. Кит П. Управленческая экономика. Инструментарий руково­ дителя/ П. Кит, Ф. Янг. - 5-е изд. - СПб :Питер, 2008. - 624 с. Огиер Т. Настоящая стоимость капитала: практическое ру- 6. ководство по принятию финансовых решений / Т. Огиер, Д. Рагман, JI. Спайсер. ; пер. с англ. В. Теплых, А. Ватчен- ко. - Днепропетровск : Баланс Бизнес Букс, 2007. - 288 с. 7. Abel A. Options, the value of capital, and Investment / A. B. Abel, A. K. Dixit, J. C. Eberly, R. S. Pindyck ; MIT- CEEPR 95-006. - Massachusetts : Massachusetts Institute of Technology, 1995. - 22 p. Dixit A. K. Investment under uncertainty / A. K. Dixit, R. S. Pindyck ; Library of Congress Cataloging-in-Publication Data. - Princeton : Princeton University Press, 1994. - 468 p. Luehrman T. A. Strategy as a portfolio ofreal options / Timothy A. Luehrman ; Reprint Number 98506. - Boston : Harvard Business Review, 1998. - P. 89-99. Smit H. T. J. Strategic Investment: real options and games / H. T. J. Smit, L. Trigeorgis. - Princeton : Princeton University Press, 2004. - 459 p. Шестаков Д. Ю. ОЦІН КА ВАРТО СТІ ДЖ ЕРЕЛ Ф ІНАНСУВАННЯ КОМ ПАНІЇ ЗА ДОП ОМ О ГОЮ СТРАТЕГІЧНИХ РЕАЛЬН ИХ О ПЦІОНІВ У статті досліджено та оцінено розширену чисту приведену вартість компанії (ENPV) залеж­ но від доступних джерел фінансування за допомогою методики реальних опціонів, що є синтезом найновішихрозробок в сфері корпоративних фінансів, реальних опціонів та теорії ігор. Використа­ ний підхід дозволяє оцінити вартість управлінськихрішень та відповідно здійснити оцінку страте­ гії та її гнучкість. Ключові слова: стратегічні реальні опціони, теорія ігор, стратегічне планування, оцінка стратегії, ефект реальних опціонів, розширена чиста приведена вартість (ENPV), дисконтовані грошові потоки (DCF), вартість постійного грошового потоку (TV), вартість вільного грошового потоку капіталу (FCFE), вартість виконання (EV). Матеріал надійшов 15.02.2014