dynamic wacc: re-enrichment of discounted cash flow
TRANSCRIPT
DYNAMIC WACC: RE-ENRICHMENT OF
DISCOUNTED CASH FLOW VALUATION TECHNIQUE
SKRIPSI
Presented in partial fulfillment of the requirements for
The Bachelor’s Degree in Accounting
By:
Nico
008201500065
FACULTY OF BUSINESS
ACCOUNTING STUDY PROGRAM
PRESIDENT UNIVERSITY
CIKARANG, BEKASI
2019
x
ACKNOWLEDGEMENT
With blessing of God, the researcher has finally finished the skripsi entitled Dynamic
WACC: Re-enrichment of Discounted Cash Flow Valuation Technique. This page
thus is entitled to all of the people, friend, and colleagues who have been supporting
the researcher in finishing the skripsi. Without their supports, it is impossible for the
researcher to get to this point.
The researcher would like to show high appreciation and gratitude to all of the
individuals who are involved in the process of this skripsi writing, those individuals
are:
1. Dr. Josep Ginting, CFA as the skripsi advisor who has been guiding the
researcher to explore further about the art of researching and logical thinking
in research process,
2. The researcher’s beloved family member who have been encouraging the
researcher to do better every time the burnout comes during the skripsi writing
process,
3. Friends and colleagues from President University who have become the
source of motivation for the researcher. The researcher will never forget the
time when we motivate each other to achieve the goal together,
4. All of the examiners, lecturers, and staffs whom the researcher cannot
mention one by one, without your support, it is impossible for the researcher
to finally achieve this point.
May all of us live a happy life and achieve the goals that we have set. The researcher
will not forget the merits and contribution that you have done to the researcher.
Cikarang, 1st February 2019
Nico
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TABLE OF CONTENTS
PLAGIARISM CHECK RESULT ............................................................................. i
DECLARATION OF ORIGINALITY .................................................................. viii
PANEL OF EXAMINERS APPROVAL ................................................................. ix
ACKNOWLEDGEMENT .......................................................................................... x
TABLE OF CONTENTS ........................................................................................... xi
LIST OF TABLES AND FIGURES ....................................................................... xiii
ABSTRACT .............................................................................................................. xiv
INTISARI ................................................................................................................... xv
CHAPTER I: INTRODUCTION .............................................................................. 1 1.1. Background of the Study .................................................................................... 1
1.2. Problem Statement .............................................................................................. 5
1.3. Study Objectives ................................................................................................. 7
1.4. Significant of the Study ...................................................................................... 8
1.5. Organization of Writing ..................................................................................... 9
CHAPTER II: LITERATURE REVIEW ............................................................... 11 2.1. Definition of Value and Valuation ................................................................... 11
2.2. Variety of Techniques in Valuation ................................................................. 14
2.3. Valuation Using Discounted Cash Flow Technique ........................................ 18
2.4. Forecasting Cash Flows .................................................................................... 23
2.5. Capital Structure and Cost of Capital ............................................................... 26
2.6. Cost of Capital, Pecking Order Theory, and DCF Problems ........................... 30
2.7. Proposed Valuation Technique ......................................................................... 32
CHAPTER III: METHODOLOGY ........................................................................ 36
3.1. Research Design ............................................................................................... 36
3.2. Sampling Design .............................................................................................. 40
3.3. Data Collection and Data Processing ............................................................... 44
3.3.1. Conducting Preliminary Filtering and Testing .......................................... 45
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3.3.2. Classifying Financial Informations into Forecasting Format .................... 46
3.3.3. Forecasting the Explicit and Post-Horizon FCF ........................................ 47
3.3.4. Determining the WACC of Each Model ................................................... 49
3.3.5. Discounting FCF to NPV for Each Model ................................................ 50
3.3.6. Comparing Fair Value per Stock for Each Model with Market ................ 51
3.4. Statistical Analysis ........................................................................................... 52
CHAPTER IV: DATA ANALYSIS AND INTERPRETATION OF RESULTS 55
4.1. Data Description ............................................................................................... 55
4.2. Results and Discussion ..................................................................................... 59
4.2.1. Data Interpretation and Theoretical Integration ........................................ 59
4.2.2. Data Validation Result through Quantitative Approach ............................ 65
CHAPTER V: CONCLUSION AND RECOMMENDATION ............................ 69
5.1. Conclusion ........................................................................................................ 69
5.2. Limitations and Recommendations .................................................................. 70
5.2.1. Limitations of Dynamic WACC Model .................................................... 70
5.2.2. Recommendations for Future Research ..................................................... 71
5.3. Implications ...................................................................................................... 72
REFERENCES .......................................................................................................... 74
APPENDIX ................................................................................................................ 97
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LIST OF TABLES AND FIGURES
Table 1 – Representative Samples Chosen ............................................................. 55
Table 2 – Descriptive Statistics of Actual Market Price ........................................ 55
Table 3a – Traditional WACC DCF Valuation Model .......................................... 57
Table 3b – Dynamic WACC DCF Valuation Model .............................................. 57
Table 4a – Traditional WACC Model and Market Price Comparison ............... 58
Table 4b – Dynamic WACC Model and Market Price Comparison.................... 58
Table 5a – Error in Traditional WACC Model ..................................................... 59
Table 5b – Error in Dynamic WACC Model ........................................................ 59
Figure 1 – Box Plot of Actual Market Price .......................................................... 56
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DYNAMIC WACC: RE-ENRICHMENT OF DISCOUNTED CASH FLOW VALUATION TECHNIQUE
ABSTRACT
The current and widely used traditional Discounted Cash Flows (“DCF”) valuation
technique implements constant Weighted Average Cost of Capital (“WACC”) as
discount factor in estimating the company’s value. However, previous studies in
firms’ financing behavior have shown that the implementation of constant WACC is
not applicable to real finance practice. Moreover, the recent studies in finance have
highlighted the importance of internal financing towards the financing behavior and
WACC of the company. In this study, the researcher would like to introduce new
DCF valuation technique which implements the dynamic WACC rather than the
constant one by emphasizing on the impact of a firm’s internal financing capability in
accordance to Pecking Order Theory. Based on the Root Mean Square Error
(“RMSE”) and Standard Error (“SE”) indicated by the statistical analysis from eight
public-listed non-financing companies from various industry sectors in Indonesia
Stock Exchange, the implementation of the dynamic WACC has better accuracy in
estimating the company’s value as indicated by the share price, aligned with the
Pecking Order Theory. Future research should develop and enrich the currently
implemented traditional DCF valuation technique from other dimensions, such as the
Free Cash Flows and the Terminal Value.
Keywords: DCF, WACC, Pecking Order Theory, Internal Financing
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DYNAMIC WACC: RE-ENRICHMENT OF DISCOUNTED CASH FLOW VALUATION TECHNIQUE
INTISARI
Teknik penilaian tradisional Discounted Cash Flows (“DCF”) yang saat ini
digunakan dengan luas mengimplementasikan Weighted Average Cost of Capital
(“WACC”) yang konstan sebagai faktor diskonto dalam mengestimasikan nilai
perusahaan. Namun, penelitian-penelitian sebelumnya telah menunjukan bahwa
implementasi WACC yang konstan tidak berlaku untuk praktek keuangan yang nyata
di lapangan. Selain itu, penelitian terkini di bidang keuangan telah menekankan
pentingnya pendanaan internal terhadap perilaku pendanaan dan WACC perusahaan.
Dalam penelitian ini, peneliti ingin memperkenalkan teknik penilaian DCF baru yang
mengimplementasikan WACC yang dinamis daripada konstan dengan menekankan
pada pengaruh kemampuan pendanaan internal perusahaan berdasarkan Pecking
Order Theory. Berdasarkan analisa statistik Root Mean Square Error (“RMSE”) dan
Standard Error (“SE”) yang dilakukan terhadap delapan perusahaan publik non-
keuangan di Bursa Efek Indonesia yang berasal dari beragam sektor industri,
implementasi WACC yang dinamis memiliki akurasi yang lebih baik dalam
mengestimasikan nilai perusahaan sebagaimana diindikasikan dengan harga saham,
sejalan dengan Pecking Order Theory. Penelitian selanjutnya seharusnya dapat
mengembangkan dan memperkaya teknik penilaian DCF tradisional dari dimensi-
dimensi lain, seperti Free Cash Flow dan Terminal Value.
Keywords: DCF, WACC, Pecking Order Theory, Internal Financing
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CHAPTER I:
INTRODUCTION
1.1. Background of the Study
Valuation is one of the most commonly discussed subject in finance study and
it plays vital roles in the practices of finance fields. Damodaran (2012) stated
that valuation is commonly used in portfolio management, acquisition
analysis and corporate finance. In regards with its practice in finance field, the
studies on valuation have been also developed rapidly. Therefore, it is not
surprising that there exists various valuation techniques in finance practice. In
his paper, Fernández (2007) classified the currently implemented valuation
techniques into six which are the Balance Sheet technique, Income Statement
technique, Mixed technique, Discounted Cash Flows (“DCF”) technique,
Value Creation technique, and Options technique. Each of the valuation
technique implements different assumptions and framework in estimating the
value of an asset.
Among all of the valuation techniques mentioned above, one of the most
commonly accepted valuation technique is the DCF technique (Fernández,
2007). While Balance Sheet and Income Statement techniques focus on the
accounting earnings reported in the financial statements, DCF technique is
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more focused in measuring the economic profit generated by the company.
Miller and Modigliani (1958) explained that the earnings generated from an
asset must be compared with the costs to obtain the respective earnings since
that will determine the “true worth” of the earnings. This concept was then
implemented in the widely used DCF valuation technique in current days.
In the DCF technique, the firm’s value is equivalent to the present value of its
expected free cash flows. This approach requires free cash flows forecasts
which are the proxies of the firm’s operation in future. After the free cash
flows have been estimated, the free cash flows will be discounted to Present
Value by using the Weighted Average Cost of Capital (“WACC”) to arrive at
the firm’s value. According to Fernández (2007), adjusting the forecasted free
cash flows with WACC to derive firm’s value reflects the “true” return for the
firm’s by utilizing the combination of debt and equity as capital. Based on the
aforementioned explanation, the implementation of DCF technique requires
quantitative process in determining the firm’s value.
Though the DCF technique involves quantitative process in determining the
firm’s value, it should be noted that the DCF method has limitation due to its
implied assumptions. One of the limitations implemented in the DCF
valuation technique is the application of WACC which then will be used as
the discount factor in the valuation technique. Since the current DCF model
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adopts the Miller and Modigliani (1958) framework, current DCF model also
assumes that the WACC used will be constant throughout the firms’ life
cycle. This was aligned with the capital structure theory proposed by Miller
and Modigliani (1958) which stated that under perfect market condition the
changes in financing mix will not affect the WACC. The capital structure
theory proposed by Miller and Modigliani (1958) thus referred as the
“Irrelevancy Theory”.
The implementation of this constant WACC in DCF valuation technique thus
raises questions regarding the applicability of DCF model in the current
market. Myers (2001) argued that should a firm’s WACC remain constant in
spite of its financing mix, a firm will not generate any innovation in financing
instruments and there will be no development in financing strategies.
However, the proof of existing major development in the financing innovation
has become the evidence that firms consider the financing mix in order to
maximize its performance and therefore, it shows that there is a limitation in
the concept of Miller and Modigliani (1958). In addition to that, Vélez-Pareja,
Ibragimov, and Tham (2008) found out that the constant WACC does not hold
true since the WACC also depends on the discount rate of the tax shield.
While the DCF technique focuses on the firms’ financing mix which is
constituted by the composition of external financing instruments, such as debt
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and equity instruments, there exists increasing attention in the internal
financing of the company as well. This can be seen from the research
conducted by Vogt (1994) which proved that the internal financing
capabilities could affect the investment and financing decisions of the firms.
Ross, Westerfield, Jaffe, Lim, and Tan (2015) also pointed out about the Cost
of Retained Earnings (“Kr”) which is resulted from the internal financing
capability as the component which constitutes the WACC. These literatures
imply that there should be a consideration of internal financing component in
calculating the WACC in the DCF valuation technique.
.
The current studies in valuation field are dominated with the comparative
researches which focus on proving the superiority of one valuation technique
over the others, such as the studies conducted by Sayed (2017), Courteau,
Kao, and Richardon (2000), Francis, Olson, and Oswald (2000), and Penman
and Sougiannis (1998). According to Lundholm (2001), the future research in
the valuation field must not focus on comparing the valuation techniques but
concern more on the methods to increase the accuracy of valuation technique.
The researcher believes that each of the existing valuation technique provides
estimated firm’s value based on its implied assumptions. However, the issue
with the valuation study field is to analyze whether the assumptions implied
by each valuation technique are still applicable in the practical world and
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whether there should be any re-enrichment that can be done to increase the
accuracy of the traditional model. The study conducted by Vélez-Pareja et al
(2008) integrated the Tradeoff Theory into the traditional DCF model and
concluded that the WACC shall follow the principle of tax shield benefits. It
is interesting for the researcher to analyze the WACC assumptions from the
perspective of other capital structure theory, especially by integrating the
internal financing components into the DCF valuation model. This could
provide new framework in valuing the firms and develop the traditional DCF
model.
1.2. Problem Statement
Myers (2001) pointed out that the implementation of constant WACC in DCF
valuation technique may not be congruent with the real economic
environments that the market faces. This statement then is strengthened by the
inquiry of Vélez-Pareja et al (2008) which stated that WACC cannot be
constant due to the tax shield considerations.
The issue to be highlighted in this study would be the incorrect application of
WACC in DCF valuation. By using the constant discount rate for discounting
the expected free cash flows, it implies that the company will use the same
capital structure throughout the firm’s life. However, it should be noted that
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the net income generated in the current year will increase the portion of equity
(internal financing capability), changing the capital structure and therefore
changing the cost of capital (WACC) to be then used as the discount factor in
discounting the free cash flows to the firm’s value. While the portion of equity
increase, under the constant cost of capital assumption, the company will be
assumed to issue more debt with the same cost of debt to maintain the current
cost of capital. However, it should be noted that issuance of debt would
depend on the company’s action and would be a matter of bias in the cash
flows forecast of the firm.
There raises questions regarding the capability for the debt holders to obtain
the exact same cost of debt in the future and the allocation of the debt
financing resources to the company’s investment. In accordance with the
Pecking Order Theory introduced by Myers (1984), for companies that have
better internal financing capability, the issuance of new debt will not be seen
as rational since the management of the firms could employ the internal
financing resources for the investment projects and therefore could conduct an
investment with lower-risk.
To sum it all, this study would like to highlight the problem of incorrect
discount factor errors due to the constant WACC implementation in DCF
valuation technique and offers new valuation model which covers the
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weakness of the traditional DCF model. Since internal financing capability is
also one of the drivers which affect WACC, the researcher would like to
develop new constructed valuation model which focuses on the influence of
internal financing capability towards the WACC.
1.3. Study Objectives
Based on the research problems mentioned in the previous section, the
objective of this research is to develop the concept of DCF practice and
implementation which adopts the capital structure theory of Miller and
Modigliani (1958) by addressing the constant WACC problem so that the
current valuation model would be more comprehensive and accurate.
As for the constant WACC as discount factor problem, the researcher would
like to develop a model in which the WACC as discount factor will be
assumed to be changed over the forecast period by referring the equity capital
component as the function of previous equity. WACC is constructed through
the elements of capital structure and in this study, the researcher will focus on
the influence of changes in internal financing capability as the variable which
will affect the WACC.
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This study aims to provide the readers about the logical framework behind the
traditional DCF valuation technique and the implied capital structure theory
and provide sufficient evidence regarding the better applicability of the
dynamic WACC model in terms of accuracy.
1.4. Significance of the Study
Recalling that the valuation process is one of the core subjects in the finance
study, the result of this research would be beneficial for both academicians
and practitioners in finance fields.
The result of this research would provide more insights for the academicians
regarding the exploration of alternative element in the DCF analysis approach
in the business valuation and therefore would enrich the finance literatures,
especially in terms of DCF valuation approach.
In addition to that, by emphasizing on the development of dynamic WACC,
the managements of companies will be able to utilize more comprehensive
version of DCF technique, resulting in better decision making in the business
management process.
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The development of DCF technique offered in this research will also be
beneficial for the shareholders who provide capital to the business or
companies. The shareholders will be able to have a more accurate target value
so that they could maximize their potential return and avoid the unfavorable
investments.
Since the valuation process is also one of the core parts in the merger and
acquisition, the development of DCF approach which is widely used in the
merger and acquisition (“MnA”) deals will provide better insights for the
public accountants regarding the assessment of the fairness in the merger and
acquisition deal which then would affect the goodwill account as reported in
the Statement of Financial Position of respective company.
1.5. Organization of Writing
This research paper is organized into five chapters from Chapter I until
Chapter V. Chapter I provides the introduction about the research problems
and the background which motivates the author to write this research paper.
Chapter II provides the literature reviews which emphasize the development
of prior theories regarding the concept of valuation and DCF approach and
supporting theories in the new valuation model proposed in this study. The
proposed model will be explained after the literature reviews in “Proposed
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Method” section. Chapter III provides the methodology including the
sampling and data processing methods in testing the validity and accuracy of
proposed method mentioned in prior section. Chapter IV provides the result of
the data processing as mentioned in prior chapter and interprets the
quantitative result of data processing. Chapter V provides the conclusion
regarding the research, limitations of the research, and the direction for the
future research.
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CHAPTER II:
LITERATURE REVIEW
2.1. Definition of Value and Valuation
Valuation is not a new topic in the accounting and finance field of studies. It is
widely used for the purpose of measuring and understanding the value of an
asset, investment, or even a company. According to Koller, Goedhart, and
Wessels (2010), value is interpreted as the defining measurement dimension in
the market’s economy. It integrates the long-term perspective and expectations
of the market towards an asset. The term “value” can be interpreted simply as
the “true worth” of an asset. Damodaran (2012) argued that understanding the
true value of an asset is crucial since an investor shall not purchase an asset at
the price beyond its expected value.
In determining the true worth of an asset, there will be a quantitative process to
be utilized in order to estimate the value of respective asset which is referred as
“valuation”. Damodaran (2012) stated that different assets require different
information inputs and valuation techniques in order to derive the estimated
value. For example, valuing real estate property will require different details of
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information inputs and different valuation formats from the process of valuing
publicly traded stocks.
As what has been mentioned on the first paragraph, understanding the value of
an asset would be critical since it would provide insights for investors regarding
the “ceiling” or limit that investor should pay in order to acquire those assets.
According to Damodaran (2012) and Koller, et.al (2010), there are some
practical roles of valuation in the business fields, which are:
a. In the portfolio management, understanding the value of an asset would
be useful for the long-term investors who are more focused on the firm-
specific valuation rather than the market valuation. It plays central role
for the fundamental analyst and provides peripheral role for the technical
analyst.
b. In the merger and acquisition analysis, valuation will provide the
bidding firm the fair value of the target firm before making the bid to
acquire the target firm, while for the target firm itself, the valuation will
provide them insights regarding minimum price before accepting the
deal offered by the bidding firm based on the fair value of the firm.
c. In corporate finance, understanding the value of the managed firm is
crucial since the main objective of the corporate finance is to maximize
the value of the firm. By utilizing the valuation, the managers could
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assess the impact of their financial policies, operational policies, and
corporate strategies towards the firm’s value.
The roles of valuation are crucial not only for the practice in finance field but
also for the practice in accounting field. Since the valuation affects the financial
substance of transactions, it will directly affects the way of those transactions to
be reported which would be the main concern of accounting field.
In accordance with the Conceptual Framework of Financial Reporting, one of
the crucial issue in the accounting field is the measurement or valuation of
accounting items so that all of the economic transactions can be presented in
financial statements at the fair value. After the adoption of International
Financial Reporting Standards (IFRS) in accounting practice, the fair value
concept which is explained in the International Accounting Standard (IAS) 39 is
heavily implemented in the financial reporting since it would increase the value
relevance of the informations provided in the financial reports for the decision
making process done by the users. In Indonesia which adopts the IFRS, the
importance of valuation is also recognized through the Pernyataan Standar
Akuntansi Keuangan (PSAK) 68 regarding the Fair Value Measurement.
It should be noted that even though valuation involves complex and analytical
process in order to derive the expected value of an asset, there are some pitfalls
that must be taken into the considerations according to Damodaran (2012):
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a. Valuation is not a pure science in which its proponents make it out to be
or will result in a pure objective true value. Even though the valuation
process involves quantitative model, however, the information inputs
might be colored with highly subjective bias. Therefore, it is important
to reduce the bias in the process of valuing an asset,
b. Valuation process is not timeless which means the derived value from
previous valuation may be changed due to the new information reveal in
the market which then will affect the perspective of an asset’s value,
c. Valuation doesn’t provide precise value since all of the inputs are in
form of estimation as well,
d. Good valuation doesn’t require complex quantitative model. Providing
too much financial details may result in the bias of input errors as well.
For the simplicity purposes, Koller, et al (2010) pointed out that the key
drivers of value creation are the growth and return on invested capital,
e. Good valuation shall not ignore the perspectives of other investors in the
current market and,
f. The most important thing about valuation is the process rather than the
outputs.
2.2. Variety of Techniques in Valuation
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Recalling that different assets require different information inputs and formats,
the valuation process can be classified into various techniques. Every valuation
techniques implies different concepts and approaches in order to estimate the
value of an asset, investment, or company. Based on the valuation objects and
techniques, Fernández (2007) classified the valuation techniques as follow:
a. Balance Sheet Technique
This technique implies that the value of a company would be equivalent
to the amount that is reflected in the company’s balance sheet without
considering the market’s condition, human resources, or other
organizational issues in the future which are not depicted in the
company’s balance sheet. There are so many indicators that can be used
for this balance sheet technique and one of the most common indicator
would be the book value of the company which is defined as the
difference between the total assets and liabilities.
b. Income Statement Technique
This techniques implies that the value of the company would be shown
by the income indicators such as earnings, sales, or other indicators.
Unlike balance sheet technique which is derived from pure accounting
value, the income statements techniques emphasized on the comparison
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of multiples by comparing the accounting income indicators with the
other relevant market indicator, commonly market price to derive a ratio.
It implies that the value of a company would be at the multiples of its
income indicators.
Until now, this technique is still used for providing quick valuation
insights regarding a company due to its simplicity in process. One of the
most commonly used multiple in finance practice would be the Price-
Earning Ratio (PER) in which the share value of a company would be the
multiples of its earnings.
c. Mixed (Goodwill) Valuation Technique
Since balance sheet method don’t provide insights regarding the impact
of non-accounting items towards the value of the company, the mixed
valuation method is formulated. This techniques implies that the value of
a company is equivalent to the sum of its accounting net assets value and
its goodwill. The “classic” goodwill valuation is expressed in form of the
equation below:
𝑽 = 𝐀 + (𝒏 × 𝑩) or 𝑽 = 𝐀 + (𝒛 × 𝑭)
Where A= net assets value, n=coefficient (1.5-3), B= net income,
z= percentage of sales, F= sales turnover.
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The first formula is commonly used for manufacturing companies while
the second formula is commonly used for retail companies. This
techniques implies that the goodwill of a company is derived from a
multiples of an economic indicator and will be added to the substantial
net asset value.
d. Discounted Cash Flows Technique
This technique seeks to determine company’s value by forecasting the
expected cash flows in the future and then discount them to the present
value by using certain discount factor which reflects the risk.
Up to now, this method is the most commonly used in the fundamental
analysis due to its rational concept and its generality to be used in valuing
not only equity instruments or companies but also most of the financial
instruments including debt instruments.
The discounted cash flow valuation formula is depicted as follow:
𝑉 =𝐶𝐹1
(1 + 𝑘)1 +𝐶𝐹2
(1 + 𝑘)2 +𝐶𝐹3
(1 + 𝑘)3 + ⋯+𝐶𝐹𝑛 + 𝐶𝑅𝑛(1 + 𝑘)𝑛
Where V= value of the company, CF= expected cash flows in the future,
k= discount factor, n= forecast period, and CR= terminal cash flow.
e. Value Creation Technique
This technique implies that the value of a company could be assessed
from the excess of returns it generated from the capital employed in its
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operation. One of the most common indicators to be used in this
technique is the Economic Value Added (EVA) indicator. According to
Chen and Dodd (1997), the formula of EVA is depicted as follow:
𝐸𝑉𝐴 = (𝑅𝑜𝐼𝐶 − 𝐶𝑜𝐶) × 𝐶
Where EVA= Economic Value Added, RoIC= return on invested capital,
CoC= Cost of Capital, C= total capital employed
This EVA valuation though cannot be used as the proxy in the market
price like Discounted Cash Flow Technique. It only provides a sole
amount which then can be used to determine the performance of the
company.
f. Black-Scholes-Merton Technique
This technique is only applicable to the option instrument in which the
option price will be affected by the underlying instruments and therefore
requires considerations regarding the changes in the underlying option
instruments. After the establishment of Black-Scholes model in the
option pricing in 1973, Merton (1976) provided additional insights
regarding the option pricing for discontinuous stock price return and
creating Black-Scholes-Merton model. The formula is depicted as below:
𝐹(𝑆, 𝜏) = �𝑃𝑛(𝜏)𝜀𝑛{𝑊(𝑉𝑛, 𝜏;𝐸,𝜎2, 𝑟)}∞
𝑛=0
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2.3. Valuation Using Discounted Cash Flow Technique
As mentioned in the previous section, Discounted Cash Flow (DCF) technique
implies that the value of a company is derived by discounting the expected cash
flows in the future by using certain discount factor which reflects the risk. The
formula of DCF technique is depicted as follow:
𝑉 =𝐶𝐹1
(1 + 𝑘)1 +𝐶𝐹2
(1 + 𝑘)2 +𝐶𝐹3
(1 + 𝑘)3 + ⋯+𝐶𝐹𝑛 + 𝐶𝑅𝑛
(1 + 𝑘)𝑛
Where V= value of the company, CF= expected cash flows in the future,
k= discount factor, n= forecast period, CR= terminal cash flow.
The core concept of DCF is aligned with the economic theory introduced by
Miller and Modigliani (1958) which stated that the value of an asset should be
perceived from economic perspective rather than solely accounting perspective
by taking into the account the risk factor.
Based on the formula depicted above, the value derived from the DCF valuation
technique is influenced by several factors which are:
a. Forecasted Cash Flow, this variable is the expected cash flows in the
future which act as numerators in the DCF formula. To be specific,
the forecasted cash flows discussed in DCF formula are the Free Cash
Flows which are derived from the reconciliation of some accounting
items. In the implementation of cash flows forecast, the free cash
20
flows would be forecasted for several period which is referred by
Jennergren (2008) as the explicit period while the rest of free cash
flows will be presented in terms of lump sum which reflects the post-
horizon period of free cash flows. Depending on the type of DCF
valuation implemented, the reconciliation process to arrive at the free
cash flows amount will be different.
b. Discount Factor, this variable reflects the risk in respect to the
forecasted free cash flows. By implementing the discount factor as
the denominator, the expected free cash flows in the future will be
brought back to its present value which represents the value of the
future free cash flows as in the present. Depending on the type of
DCF valuation implemented, the determination of the discount factor
will be different as well.
c. Period, this variable shows the so-called “explicit” cash flow period
in which the free cash flows are predicted explicitly by using given
assumptions. The remaining of the forecasted free cash flows will be
presented in lump sum with the basis of the latest forecasted free cash
flows in the explicit period. The lump-sum amount which represents
the rest of the forecasted cash flows is referred by Jennergren (2008)
as the post-horizon forecasted cash flows period.
21
According to Damodaran (2012), the Discounted Cash Flows valuation
technique may also be classified into two techniques in accordance with the
purpose of the valuation, they are Free Cash Flows to Equity (FCFE) technique
and Free Cash Flows to Firm (FCFF) technique. Both of those DCF techniques
provides different approach in deriving the value of a company, however,
theoretically speaking, the value derived from both approach shall be the same.
The implementation of different DCF techniques will result in different process
of reconciling the free cash flows and different discount factor to be used.
Free Cash Flow to Equity (FCFE) technique reflects only the value of the equity
holders of the company. It reflects the value of the company from the perspective
of the shareholders and excluding the claim from the debt holders in the
company. The FCFE is commonly used to determine the value of a company’s
stock and fundamentally provides insights regarding the “intrinsic value” of a
company’s stock to be then compared with the current market price. By
implementing the FCFE technique, the reconciliations of forecasted free cash
flows shall start from the Net Operating Profit After Tax (Koller, et al, 2010) of
the company which reflects the residual claim of the shareholders towards the
results of the company’s operation after deducted by the claim of the debt
holders which is in form of interest expense. As for the discount factor, the Cost
of Equity will be used to discount all of the FCFE to the present value. Further
22
literatures about the FCFE reconciliations and Cost of Equity will be discussed
in the next sections.
Free Cash Flow to Firm (FCFF) technique reflects the value of both the equity
and debt holders of the company. It reflects the value of the company from the
perspective of all capital holders in the company. The FCFF is commonly used
in the merger and acquisition analysis since both of the bidding and target firms
would like to know the value of the company as a whole rather than solely the
value of the company’s share. Implementing the FCFF in acquisition analysis
would also provide better insights regarding the impact of current capital
structure towards the value of the company.
By implementing the FCFF technique, the reconciliations of forecasted free cash
flows shall start from the Earnings Before Interest and Taxes (EBIT) of the
company which reflects the results of the company’s operation before deducted
by the claim of the debt holders which is in form of interest expense and also the
tax component. As for the discount factor, the Weighted Average Cost of Capital
(WACC) will be used to discount all of the FCFF to the present value. Further
literatures about the FCFF reconciliations and Weighted Average Cost of Capital
will be discussed in the next sections.
Even though the classification and formats of DCF technique are quite
distinguishable, Koller et al (2010) stated that there is a pitfall in the
implementation of DCF technique which would be about the matching between
23
the free cash flows and the discount factor for the FCFE technique. In FCFE
technique, it must be ensured that the free cash flows streams which act as the
numerator is actually resulted only from the equity capital and not debt capital.
FCFE technique will not be an issue if the company utilizes 100% equity capital
for the company’s operations but in the reality, most companies used the mix of
debt and equity as the capital and therefore it is very hard to trace the “real” free
cash flows from equity capital. To solve this issue, Koller et al (2010) suggested
that to arrive at the value of share price of the company, the valuation shall start
from the FCFF technique and by the end of the process, the firm value will be
deducted by the market value of the debt which represents the claim of the debt
holders to arrive at the share value for the equity holders’ claim.
2.4. Forecasting Cash Flows
In the DCF technique, the expected free cash flows in the future will be
discounted back to the present value, therefore, the forecasted free cash flows
would be one of the influencing variables in the DCF. According to Weygandt et
al (2010), the term “free cash flows” is defined as the excess of the operating
cash flows after deducted by the investment for non-current assets to be then
utilized in the operations of the company. It is mathematically expressed as
follow:
24
𝐹𝐶𝐹 = 𝐶𝐹𝑂 − 𝐶𝐹𝐼
Where FCF= free cash flows, CFO= operating cash flows, and CFI= investment
cash flows.
The excess represents the cash available for the capital holders of the company
and therefore, the free cash flows are perceived as proxy of value by capital
holders to determine company’s value since the free cash flows represent the
excess cash from the operation which are available to the capital holders. Thus,
this framework becomes the rationale of the DCF technique.
As what has been explained in the previous section, in order to derive the
numerator of DCF technique which is the free cash flows, a reconciliation
process of accounting earnings is required. Depending on the DCF technique
implemented and the desired goals of valuation, the free cash flows for each
respective technique will be derived by using different reconciliation process and
resulting in different amount of FCF.
For FCFE technique, the highlight of the valuation issue would be to determine
the company’s value from the perspective of the shareholders, the ones who
inject equity capital into the company (Damodaran, 2012). Therefore, the free
cash flows should represent the available claims only for the shareholders after
deducted by the claim of the debt holders. The reconciliation of free cash flows
of FCFE would start from the Net Operating Profit After Tax (NOPAT), adjusted
25
by the non-cash operating expenses such as amortization and depreciation. After
that it will be deducted by the reinvestment needs in both long-term assets and
working capital.
For FCFF technique, the highlight of the valuation issue would be to determine
the company’s value from the perspective of all capital holders, including both
debt holders and equity holders (Damodaran, 2012). Therefore, the free cash
flows should represent the available claims for all of the capital holders. The
reconciliation of free cash flows of FCFF would start from the Earnings Before
Interest and Taxes (EBIT), adjusted by tax expense and non-cash operating
expense such as amortization and depreciation. After that it will be deducted by
the reinvestment need in both long-term assets and working capital.
In addition to the reconciliation of free cash flows, the forecasting of FCF in
DCF technique can be classified into the explicit period and post-horizon period
(Jennergren, 2008). In the explicit period forecasting, the free cash flows are
forecasted based on the future assumptions implied by the analysts while in the
post-horizon forecasting, the free cash flows are presented as a lump sum which
is derived from the calculation of perpetuity based on the last explicit period
forecasting (Jennergren, 2008). The lump sum of FCF in the indefinite period is
commonly referred as “Terminal Value” (Damodaran, 2012). The
implementation of post-horizon period forecasting assumes that business will be
26
going-concern and continues to operate and generate cash flows for an undefined
period.
Another issue that could be highlighted in the forecasting of free cash flows is
the quality of analysts’ cash flow forecasts. According to Givoly, Hayn, and
Lehavy (2009), the analysts’ cash flow forecast quality has less accuracy
compared with the analysts’ earnings forecast. The analysts’ cash flow forecast
is weakly associated with the stock price movement and thus reflecting that the
analysts’ cash flow forecast can be considered as the so-called “naïve” extension
of analysts’ forecast (Givoly et al, 2009).
In addition to that, the research conducted by Walther and Willis (2013)
suggested that there is an influence of investor sentiment towards the analysts’
bias in forecasting which will result in optimistic approach and least accurate
forecasts.
2.5. Capital Structure and Cost of Capital
While the free cash flows are the numerators in the DCF formula which reflects
the expected benefits in the future that can be claimed by whether the equity
holders or all capital holders, the cost of capital is acting as the denominator in
the DCF formula which adjusts those expected benefits as quoted in present
value.
27
According to a widely used theory of capital structure proposed by Miller and
Modigliani (1958), the accounting profits are not the same with the economic
profits. One of the factors that need to be considered is the risk in which the
profits bear. The return of an investment shall be defined as profit if it exceeds
the risks of respective investment.
In the DCF technique, the free cash flows expected in the future are discounted
by the discount factor to bring the value of those expected free cash flows in the
future as in present value after taking into the account the risks related in
obtaining the free cash flows (Berk, et al, 2015). This framework is aligned with
the core postulate in finance which states that a “risky” dollar will be less
valuable compared with “safer” dollar.
As what has been mentioned in the previous section, different DCF technique
will require different discount factor as well. As for the FCFE, since the focus
of valuation would be from the perspective of the equity holders, the discount
factor applied in the FCFE would be the cost of equity that is derived from
Capital Asset Pricing Model (CAPM) (Fazzini, 2018). The CAPM formula is
presented as follow:
𝐾𝑒 = 𝑅𝑓 + (𝑅𝑚 − 𝑅𝑓) × 𝛽
Where Ke= cost of equity, Rf= risk free, Rm= market risk, β= correlation for
unsystematic risk.
28
The CAPM formula implies that the risk of equity holder would be the same as
the sum of risk free and a risk premium related with the respective company’s
share. This “risk” then will adjust the perception of equity holders towards the
expected free cash flows in the future through the desired minimum return since
they are allocating the financial resources to risky investment. (Fazzini, 2018).
In addition to the external equity sources of the company, the studies in finance
have developed increasing attention on the internal financing sources of the
company which is commonly called the “Cost of Retained Earnings”. Berk et al
(2015) states that the cost of retained earnings will be the same with the cost of
external equity since the internal company’s financing resources are actually the
company’s profit that is not distributed as dividends to the equity holders and
retained for the operation of the company. Therefore, the equity holders expect
a certain level of return from that undistributed dividends and it is reflected as
the same cost of equity. In this study, the term cost of equity will refer to the
combination of both internal and external equity financing resources.
As for the FCFF technique, the discount factor implied would be the so-called
Weighted Average Cost of Capital (WACC) which is the weighted average of
risks entitled in the capitals employed by the company since the main concern
of this technique would be the perspectives of all capital investors in the
company (Fazzini, 2018). This means the WACC will also incorporate the costs
incurred for debt financing. The formula is presented as below:
29
𝐾𝑐 = (𝐾𝑒 × 𝐸) + (𝐾𝑑 × (1 − 𝐸))
Where Kc= weighted average cost of capital, Ke= cost of equity, E= weight of
equity towards the capital employed, Kd= after-tax cost of debt,
(1-E)= weight of debt towards the capital employed. Based on the formula
above, it is clear that the costs of capital is highly influenced by the composition
of the capital structure in the company.
As for the theory of capital structure, there are some theories which are still
implemented currently. These theories of capital structure reflects the financing
behavior of each firm and how the financing strategies are used by the financial
managers to maximize the company’s value. According to Myers (2001), there
are some theories of capital structure which are:
a. Tradeoff Theory which states that the optimal capital structure will seek a
way to balance the tax advantages obtained from the debt financing with
the cost of financial distress.
b. Pecking Order Theory which states that the financing strategy of a
company will start from the safer financing instruments to risky
instruments (from internal funds to additional issuance of equity).
c. Free Cash Flow Theory which states that dangerous leverage effect
would be favorable for the value of the company.
30
d. Irrelevant Theory of Miller-Modigliani (1958) which states the capital
structure will not change the cost of capital and influence the initial value
of the company whatsoever.
From the dimension of discount factor, there are some issues that the
researchers had been pointed out. According to Koller et al (2010), predicting
the capital structure of a company, especially for the long-term period, might
not be possible since the issuance of new financing instruments is the corporate
action taken by the company. To tackle this issue, Koller et al (2010) suggested
that the debt instruments shall be forecasted under the same level for the future
forecast, implying that the current level of debt would provide enough leverage
for the operation in the future. On their research, Vélez-Pareja, Ibragimov, and
Tham (2008) had pointed out that the assumptions of constant discount factor is
misleading. A constant discount factor implies constant capital structure and
this cannot be true for most of the scenarios.
2.6. Cost of Capital, Pecking Order Theory, and DCF Problems
According to the historical evaluation conducted by Parker (1968), the early
concept of Discounted Cash Flows was found in Old Babylonian period (1800-
1600 B.C.) in Mesopotamia to be then widely used in actuarial science and
economy from 1200s until 1900s. In 1930, Fisher introduced the Theory of
31
Interest which explains the basic concepts of representing the future cash flows
as the present value. In 1950s, the implementation of discounted cash flows
began to be used widely due to the theoretical contribution by researchers such
as F. and V. Lutz, J. Hirshleifer, J.H Lorie and L.J Savage, Miller and
Modigliani, and Ezra Solomon while in 1959, the term internal rate of return was
popularized by Joel Dean.
Based on the historical development mentioned by Parker (1968), the theories in
1950s such as Miller and Modigliani (1958) theory had been adopted in the
implementation of Discounted Cash Flows valuation. As what is mentioned by
Myers (2001), the Miller and Modigliani (1958) assumes that company’s cost of
capital will be constant over the time and there would be no “magic” of financial
leverage towards the value of the company. This proposition is proven by
solving the cost of equity components in Weighted Average Cost of Capital
(WACC) which is presented as follow:
𝐾𝑒 = 𝐾𝑐 + (𝐾𝑐 − 𝐾𝑑) ×𝐷𝐸
The solving implies that any choices to inject debt with lower cost will result in
increasing “hurdle rate” of equity investors which is high enough to balance the
cost of capital and resulting in constant amount. Therefore, the adoption of this
theory in DCF valuation will justify the implementation of constant WACC as
discount factor.
32
While Miller-Modigliani (1958) argued that the capital structure is not
influencing the value whatsoever, Pecking Order Theory proposed by Myers
(1984) argued that due to the information asymmetries between investors and
managers, the company will tend to use internal funds first since the information
disclosure will happen for external financing. In addition to that, the managers
will focus on the safer financing instruments first to finance the company.
According to the research conducted Yulianto, Suseno, and Widiyanto (2017),
there exists applicability of Pecking Order Theory in the Indonesia’s companies
in spite of the fact that the results support weak form of Pecking Order Theory.
Up to now, many studies such as Baskin (1989) and Frank and Goyal (2003)
have proved that there is still no consistent evidence regarding the external firms’
financing behavior in accordance with the Pecking Order Theory. Yulianto et al
(2017) pointed out that one of the causes could be the market timing effect in the
decision of capital market structure. Unlike the external financing dimensions in
Pecking Order Theory, the internal financing dimension studies in Pecking
Order Theory obtained more robust and consistent result.
Vogt (1994) stated that the internal financing of a company affects the
investment decision of the company and had become alternative in the capital
structure while the recent research of Chen (2011) stated that the internal
financing is used for funding the company’s investment and thus it will change
the way investment behavior of the firm as well. In addition to that, Noor, Sinaga,
33
and Maulana (2015) also stated that companies listed in Indonesia, especially in
the agriculture sector, are applying the Pecking Order Theory in financing their
investment starting from the cheapest one, which is the internal financing. Study
of Noor et al (2015) also pointed out that the external financing will only be
issued if the company has internal financing deficit.
2.7. Proposed Valuation Technique
As what has been mentioned in the previous sub-section, Vélez-Pareja et al
(2008) argued that the implementation of constant cost of capital is misleading
and doesn’t reflect the economic reality. Though, the current practice of DCF
valuation technique still implements constant cost of capital as the discount
factor in deriving the present value of the free cash flows.
While the latest research of Vélez-Pareja et al (2008) had proposed a valuation
model which implied Tradeoff Theory in which they took into the account the
marginal benefits of the tax shield which will affect the capital structure and
therefore cost of capital, there is still no valuation model proposed regarding the
effects of internal financing as from the Pecking Order Theory towards the
change in capital structure and therefore the costs of capital to be then used in the
DCF valuation model.
34
The author would like to propose a DCF valuation model which will integrate
the effect of internal financing towards the costs of capital. The results of the
model and implication of using this model will be then explained in Chapter IV:
Results.
The model which is proposed by the researcher is as follows:
𝐾𝑐 = 𝐾𝑒 ∗ 𝐸𝑛−1 ∗ (1 + 𝑆𝑛)𝑛
𝐷 + 𝐸𝑛−1 ∗ (1 + 𝑆𝑛)𝑛 + 𝐾𝑑 ∗ (1 − 𝑇) ∗ 𝐷
𝐷 + 𝐸𝑛−1 ∗ (1 + 𝑆𝑛)𝑛
Where Ke= cost of equity, Kd= cost of debt, En-1= equity position from prior
year, D= debt position from the last year, Sn= rate of equity growth in the next
year, T=Tax.
The model proposed above is for the determination of costs of capital to be then
used in the DCF valuation model. The increase in equity position from last year
will be assumed from purely the increase of internal financing from the retained
earnings which is part of the equity while the debt level will be assumed at
constant level as in accordance with suggestion of Koller et al (2010) regarding
the forecast of corporate actions.
The fundamental of the model is to adjust the cost of capital from the increase
of internal financing and eliminating the effect of leverage to derive the value of
the company in case it utilizes current debt level with capabilities to grow
internal funds in the future. This can be seen from the return generated by the
company which is then retained as the part of equity. The changes in the
35
retained earnings thus changes the capital structure and therefore, dynamic
discount factor may be more appropriate rather than the constant one.
The implementation of dynamic cost of capital model could provide some
advantages as follows:
1. The capability of the model to capture and integrate the growth of internal
financing capacity and resources of the company towards the company’s
value;
2. The value derived from the dynamic WACC model will reflect the true
value of the company which represents the value of the company by relying
on its internal strength rather than the external financing capabilities. The
traditional model doesn’t only take into the account the operation of the
company as the proxy of value but also the additional cash flows from
external financing which then will be discounted and mislead the users who
perceive the capital injection as the increasing of value in the company;
3. The dynamic WACC model implies lower subjective assumptions about the
capital structure in the future and therefore a great valuation technique for
conservative company’s value analysis.
Like the other valuation techniques, the dynamic WACC model also implies
certain assumptions and therefore imposes several limitations for its
implementation in the practice. The limitations can be listed down as follows:
36
1. Due to its conservative nature of valuation, the dynamic WACC model may
undervalued startups firms with lower capability to generate internal
financing or even tend to have negative cash flow;
2. The dynamic WACC model doesn’t cover the valuation framework of
financial institutions due to its difference in nature of business and financial
structure;
3. Since this model covers only the analysis on the changes of WACC, there
could be some limitations on the other components of DCF analysis which
then could become the opportunity for the future researchers to be analyzed
further.
CHAPTER III:
METHODOLOGY
3.1. Research Design
This study implements the mixed method in constructing the model and testing
the constructed model. According to Sekaran (2016), mixed method is
implemented in a research to provide answers that cannot be provided solely by
implementing whether quantitative or qualitative approach alone. The
implementation of mixed method in a research requires both inductive and
37
deductive thinking, using multiple research methods or theories to provide
answers for the research problem using different inputs. Wiggins (2011) stated
that there is no rigid methodological approaches in conducting the mixed method
research. In addition to that, Tashakkori and Creswell (2007) argued that mixed
method research could provide more comprehensive understanding regarding a
phenomenon due to the combination of both qualitative and quantitative
approaches in analyzing a phenomenon which will result in offsetting the
weaknesses of each.
Wiggins (2011) stated that there are three ways to mix the qualitative and
quantitative methods, they are:
a. Triangulation which is simply defined as the utilization of multiple
methods to increase validity of a study,
b. Demarcation which is defined as the process of relating both the
qualitative and quantitative approaches in which one approach is used as
the dominant method while the other is used as the supporting method,
c. Reclassification which is referred as the application of how to utilize
both quantitative and qualitative methods so that they can be used as
exploratory and confirmatory ways.
According to Sekaran (2016), even though mixed methods could provide some
advantages for the research process, on the other hand the implementation of
mixed methods research will result in more complex research design and
38
therefore demands for comprehensive and clear explanation to enable the readers
to differentiate and understand each research component.
In this study, the researcher implemented the mixed methods model due to its
competitive advantage of explaining a particular phenomenon from the
perspectives of both quantitative and qualitative approaches. There were some
additional considerations that had been taken into the account by the researcher
and therefore had become the rationale for the researcher to implement mixed
methods approach in the study.
The first consideration is about the purpose of this research. The purposes of this
research is to develop new DCF valuation model and provide new insights for
the readers regarding the concept of DCF valuation. To achieve the purposes, the
researcher was concerned in both the conceptual framework of model
construction and the process of proving the accuracy of the model constructed.
The explanation of the conceptual framework of model construction requires
qualitative approach which analyzes and contrasts the existing capital structure
theories while the process of providing sufficient evidence regarding the model’s
accuracy requires quantitative approach which utilizes statistic analysis.
The second consideration would be about the type of data sources to be then
used as the basis of deriving the model and testing the accuracy. The data
sources which were taken for this study are in form of theories, hypothesis, and
secondary data. The implementation of qualitative approach alone will not be
39
sufficient for the researcher since it will provide a limitation regarding the
processing of secondary data as the evidence of the model’s accuracy while the
implementation of quantitative approach alone will also not be sufficient for the
research since it will provide a limitation regarding the comprehensiveness and
conceptual framework of the model construction which then can only be
comprehended by utilizing the theoretical integration provided in qualitative
approach.
In addition to that, the mixed method implied in this research can be classified as
the triangulation method in which the process of model constructing was done by
using qualitative approach in order to provide comprehensive logical flow and
then the validity of the constructed model was tested using quantitative approach.
Even though commonly, the qualitative approach focuses on the theory-building
approach, the implementation of theoretical integration approach in qualitative
research is also common (e.g.: Aselage and Eisenberger (2003) regarding the
perceived organizational support and psychological contracts, Rosso, Dekas, and
Wrzesniewski (2010) regarding the meaning of work, and other researches which
commonly focuses on behavioral and psychological researches). In this study,
the construction of model was rooted from the theoretical integration of firms’
financing behavior which up until now has been developed to several
independent theories as explained in Chapter II.
40
On the other side, the quantitative model was used as the supporting method in
which the process of providing sufficient evidence was done by utilizing
statistical analysis to ensure that there exists higher accuracy in the constructed
model compared with the traditional one. In addition to that, the implementation
of quantitative approach is also implemented in the process of sampling design
which will be explained in the next section.
To sum it all, the researcher implements mixed methods to conduct the research.
The research process will be done by using the triangulation mixing approach in
which the qualitative approach will be utilized in explaining the conceptual
framework of the DCF valuation model while the quantitative approach will be
utilized as the tool in providing sufficient evidence regarding the accuracy of the
model compared with the traditional one.
3.2. Sampling Design
In determining the samples, the researcher had set several criteria and scope
limitations to ensure that the samples selected are representative, valid, reliable,
and aligned with the purpose of the research.
As for the source of data, the researcher selected companies listed in Indonesia
Stock Exchange (IDX). The considerations for the researcher to select companies
listed in Indonesia Stock Exchange are not only due to the accessibility of the
secondary data but also the internal reliability and validity of the data. According
41
to Seale (1999), reliability and validity of the research are the crucial part which
ensures the trustworthiness.
The financial reporting of companies listed in IDX must follow regulation
implemented by Financial Services Authority (Otoritas Jasa Keuangan/ OJK)
regarding the financial reporting standards reflected in Regulation No.
KEP-347. In the Regulation No. KEP-347, it is stated that all financial reporting
for companies listed in IDX must follow the Statement of Financial Accounting
Standards of Indonesia (Pernyataan Standar Akuntansi Keuangan/ PSAK) which
has adopted the International Financial Accounting Standards (IFRS). By
following the unified measurements of financial reporting which is PSAK, all
accounting items reported in the financial reports are measured by using
consistent and representative measurement which therefore guarantees the
internal reliability and validity of the secondary data.
The companies taken in this study were from non-financial institutions. The
exclusion of financial institutions was done due to the differences of valuation
approach of financial institutions. According to Damodaran (2012), in non-
financial institutions, debts are perceived as the source of capital for the
operation of the companies while for financial institutions, debts are perceived as
the “raw materials” which then could be processed then sold at the higher price.
Thus, there is a vague definition for the source of capital for financial institutions
which doesn’t match with the framework of model constructed by the researcher.
42
In addition to that, Damodaran (2012) explained that the reinvestment of
financial institutions is different with non-financial institutions. While non-
financial institutions reinvest in fixed assets and working capital to support and
expand the operation, financial institutions reinvest heavily in intangible assets
such as brands and reputation. Thus, the problem in determining the
reinvestment rate could become challenges in determining the forecasted free
cash flows which is used in this model as well.
After the process of narrowing the samples’ scope, the next step would be to
determine the sample size. In this study, the researcher took eight public listed
companies in IDX which represents each of nine business industries listed in
Jakarta Stock Industrial Classification (JASICA), except for financial industries.
The researcher was aware that the determination of sample size in quantitative
research commonly requires a set of statistical guideline to ensure that the
number of selected samples are representative and therefore could lead to a valid
research conclusion, such as Hair (2010) or Burmeister and Aitken (2012).
However, it is worth mentioning that the quantitative process in this research was
utilized to obtain supporting evidence for the qualitative theoretical integration
and therefore the selection of samples follows the framework of qualitative
research to provide in-depth understanding regarding a phenomenon. Jason and
Glenwick (2016) stated that unlike quantitative research, the process of data
collection and analysis of qualitative research is interrelated. There are certain
43
points in the data collection and analysis of qualitative research which are
saturation and extension (Crabtree and Miller, 1999). Saturation refers to a
condition in which the addition of new data or sample will not provide new
understanding of the phenomenon while extension refers to a condition in which
the addition of new data or sample will provide new comprehension regarding
the study object.
The researcher argues that the selection of eight samples in this study has
reached a saturation point from the qualitative perspective since it already
provides sufficient understanding regarding the mechanism of constructed model
in each industries in JASICA, excluding the financial institutions. As long as the
limitation and mechanism of the constructed model are followed, the results
obtained within each population will be the same and the addition of new
samples will not be value-adding to the understanding of the results in the
constructed model.
To ensure that the selected companies of each industry are representative, there
are some filtering processes and criteria conducted as the basis of sample
selection. After the preliminary filtering, the representative samples were taken
by random sampling. The followings are criteria for the selection of
representative samples:
a. Completeness of financial information from year 2015-2017,
44
b. Exclusion of any negative equity total amount whether due to financial
distress or other causes. According to Damodaran (2012), distressed
companies require different valuation approach which is not integrated
in the constructed model,
c. Comparison test of Price-Earning Ratio (PER). According to Basu
(1975), PER implies the expectation of the investors regarding the
growth of respective companies and sometimes may be biased due to
information asymmetry. By ensuring that the PER of selected
companies are in range with the industries, the perspective of the
investors in the market regarding the fair value of the share will not be
biased.
After the determination of sample size, the next issue in the sampling design is
the determination of time-horizon. This study took three-year time horizon for
each representative sample. As what has been mentioned in the literature review,
the DCF valuation is influenced by risk perception of equity investors reflected
in the equation as the discount factor (cost of equity) and also the forecasted free
cash flows. The forecasted free cash flows are derived from the growth
assumptions regarding the prior performance of the company. Since
macroeconomic condition affects the company’s performance, therefore to avoid
bias for free cash flows forecast, the researcher took three years of time horizon
considering the similar pattern of macroeconomic condition throughout the years.
45
According to Statistics Bureau of Indonesia, the year-on-year (YoY) growth of
Indonesia’s GDP from 2015-2017 ranges from 4.88% to 5.07%, implying similar
macroeconomic condition pattern throughout the years. In addition to that, the
increasing of Bank Indonesia’s 7-Days Repo Rate in 2018 implies that there was
a changes in macroeconomic condition in 2018 and therefore, to adjust the effect
of this changes, the basis of years input for forecasting should be limited.
In overall, this study took samples of eight public listed companies in IDX which
are the representatives of each industry in JASICA. As for each sample taken,
the input for forecast years is deemed as three-years-time-horizon due to the
similar macroeconomic pattern which implies the similarity of both the
perception of risk from the investors and the companies’ performance. As for the
collection and analysis of the samples taken will be explained in the next section.
3.3. Data Collection and Processing
The steps of data collection and processing conducted in this study utilizes the
DCF valuation technique and can be classified as follow:
a. Conducting preliminary test and filtering to determine the samples taken
in the study,
b. Classifying financial informations derived from the financial statements
of respective samples from year 2015-2017 into forecasting format,
46
c. Forecasting for three years for both the explicit and post-horizon FCF by
using the historical 2015-2017 financial performance,
d. Determining the Weighted Average Cost of Capital (WACC) for both
Traditional and Proposed Model,
e. Discounting the forecasted FCF into Net Present Value (NPV) as of
January 1st, 2018 to determine the stock’s fair value of respective
samples based on each respective model, and
f. Comparing the stock’s fair value derived from DCF valuation technique
with the stock’s actual market price in January 1st, 2018 based on each
respective model.
3.3.1 Conducting Preliminary Filtering and Testing
As mentioned in previous section, prior to the data collection and
processing, the preliminary filtering and testing were conducted to
determine the public listed companies taken as samples.
The comparison test of Price-Earning Ratio (PER) was done by
comparing the 2017 PER of comparable in the respective industry
with each of the 2017 PER of the company sample taken. This step
was done by using Median Absolute Deviation (MAD) which was
introduced by Leys, Ley, Klein, Bernard, and Licata (2013). The
definition of this MAD analysis will be explained in the next section.
47
The purpose of conducting this PER comparison test is to eliminate
any outliers companies from the population in the industry, then after
considering the completeness of financial information and condition
of company’s equity, the respective sample can be taken for each
respective industry in JASICA.
By combining the PER comparison test with the other qualitative
criteria such as the completeness of financial information and equity
position, the number of samples taken can be narrowed down. Shall
all of the criteria is followed by the all of the comparable, then the
representative sample will be taken with random sampling.
3.3.2 Classifying Financial Informations into Forecasting Format
After the preliminary process had been conducted and samples had
been determined, the financial informations regarding the respective
companies are gathered from the financial reports from 2015-2017,
then those compiled data are classified into groups of major
accounting items. The purpose of classifying the financial data into
forecasting format was done so that the forecasting process can be
done in more convenient process.
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3.3.3 Forecasting the Explicit and Post-Horizon FCF
The historical financial performance of each respective samples will
then be used as the basis for forecasting the financial performance in
the future. After all the necessary items, such as earnings, working
capital, and capital employed have been forecasted, the FCF will be
calculated by the reconciliation process as mentioned in literature
review. The explicit FCF forecast will be done for three years and
from that point on the FCF forecast will be presented as post-horizon
FCF using terminal growth rate of 4.50%. The explicit forecasting of
three-years-time-horizon is in align with the suggestion from Koller
et al (2013) which suggests that the explicit forecasting period should
cover an optimum period in which it could reflect the required period
for the company to achieve stability. The explicit period should not
be too long since it will result in the forecasting bias due to future
uncertainty while it should not be too short since it will not cover the
period for the company to achieve stable growth.
According to Walther and Willis (2012), the analysts tend to conduct
an optimistic forecast due to the investors’ expectations and therefore,
in this study, the researcher would like to replicate the most common
condition in which the analysts conducted the optimistic forecast. The
optimistic forecast is reflected on the optimistic growth rate implied
49
on the financial performance and the terminal growth rate of 4.50%
considering the Indonesia GDP Growth from 2015-2017 which is
about 5.00% (Statistics Bureau of Indonesia).
As for the risk-free rate to be used as the discount factor input, the
rate of 6.5% will be used as the benchmark considering rate of the
government bonds and security analyst assumption which will be
attached in the Appendix.
In addition to that, Lobo (1992) stated that the analysts forecast is
superior compared with the time-series forecasting statistical model
so that in this research, the researcher conducts a financial forecast in
which the forecast assumptions of security analysts will be used as
the benchmark.
3.3.4 Determining the WACC for Each Model
After the FCF have been forecasted, the discount factor which is in
form of Weighted Average Cost of Capital (WACC) will be
determined by calculating each cost of debt and cost of equity
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multiplied by the weight of respective financing sources towards the
employed capital (Damodaran, 2012). The cost of debt is determined
by dividing the interest expense with the book value of the
outstanding debt both current and non-current, then adjusted by the
tax effective rate in the last year of actual financial performance. The
cost of equity is determined by utilizing the Capital Asset Pricing
Model (CAPM) in which the risk-free is deemed as 6.50%
considering macroeconomic condition in 2017 while the beta is
calculated by dividing the covariance of sample’s weekly closing
price with the market weekly closing price and then divided by the
variance of the weekly market’s closing price ranges from January 1st,
2015 to September 25th, 2018. The utilization of this time horizon
allows the researcher to account for the so-called “expectations”
factor from the investors regarding the uncertainties in the future.
In this step, the proposed model from the researcher regarding the
dynamic WACC will be tested and thus this step will be the most
crucial step in this study. While the traditional model will end after
multiplying the weight of financing sources with respective financing
costs and assumed that the WACC will remain constant in the future,
the dynamic WACC model will take into the account the changes of
51
internal financing which is the retained earnings to the weight of
equity which then will change the WACC for each forecasted year.
3.3.5 Discounting FCF to NPV for Each Model
The forecasted explicit and post-horizon FCF thus will be discounted
back to January 1st, 2018 by the WACC to derive the Net Present
Value (NPV) or the so-called “Fair Value”. Since the researcher
already have two scenarios in which one implies the traditional
valuation model and the other implies the dynamic WACC model,
there will be two fair values resulted in accordance with each model.
Recalling the suggestion of Koller et al (2010) regarding the
valuation of company’s stock and the framework introduced by
Damodaran (2012), the discounting process will result in the firm
value of the company and thus to arrive at the fair value of equity
claim, the net debt value shall be deducted from the calculation result.
After the calculation of fair value of equity claim, to arrive at the fair
value for each share, the result must be divided by the number of
outstanding share so that it will reflect the fair value per share which
then can be compared with the market price. Since the researcher
already have two scenarios in which one implies the traditional
52
valuation model and the other implies the dynamic WACC model,
there will be two fair values per share resulted in accordance with
each model.
It should be noted that the forecasted FCF basis for discounting
process for both traditional and dynamic WACC model is the same.
The variable which took into the account for the differences would be
only the WACC factor. This was aligned with findings of Jenergren
(2008) which stated that one of the common mistakes in comparison
of valuation methods is the inconsistency of FCF basis for deriving
the fair value.
3.3.6 Comparing Fair Value per Stock for Each Model with Market
After eliminating the bias of market through the PER comparison
filtering, the market closing price as of January 1st, 2018 will be used
to test the accuracy of fair value derived from each of the valuation
model. This process utilizes the analysis of Root Mean Squared Error
(RMSE) which will be explained in the next section.
3.4. Statistical Analysis
Based on the data collection and processing section mentioned above, this study
will utilize two statistical analysis which are Median Absolute Deviation (MAD)
53
and Root Mean Squared Error (RMSE) analysis. The MAD analysis will be
done for the preliminary testing and filtering in the PER Comparison test to
eliminate the outlier while RMSE analysis will be done for testing the accuracy
of the constructed model and hence providing evidence regarding the validity of
the constructed model.
Leys et al (2013) argued that to detect outliers in particular dataset, especially in
small samples, the implementation of commonly used Mean Standard Deviation
may impose some problems which are caused by the effect of the outliers
towards the mean and the assumptions of normal distribution of data points. On
the other hand, the alternative method proposed by Leys et al (2013) which is
the MAD provides advantage in detecting outliers since the outliers could not
affect the median of the data. Even though mean and median both reflect the
central tendency of a dataset, the mean of a dataset is impacted by the existence
of outliers while the median is not.
To implement the MAD in the preliminary testing and filtering of the research,
the PER of all comparable in one industry sector of JASICA will be arranged
from the lowest value to the highest, then the PER median will be ranked.
After the ranking of PER median in the dataset, the MAD analysis will be
calculated as follow:
𝑀𝐴𝐷 = 𝑏 𝑀𝑖��𝑥𝑖 − 𝑀𝑗�𝑥𝑗���
54
Where b= 1.4826, following the assumed constant regarding the data normality,
excluding the effect of outliers (Rousseeuw and Croux, 1993)
Mi= median of the absolute difference between each data point with the median
of the dataset, Xi= respective data point, Mj(xj)= median of dataset.
As for the conclusion drawing regarding the accuracy of constructed model, the
RMSE statistical analysis is done. According to Chai and Draxler (2014), the
implementation of RMSE will provide better insights regarding the distributions
of error resulted by the estimators and therefore the implementation of RMSE is
superior compared with the implementation of Mean Absolute Error (MAE)
which implies the uniform distribution of errors.
The formula of RMSE can be represented as follow:
𝑅𝑀𝑆𝐸 = �1𝑛�𝑒𝑖2𝑛
𝑖=1
Where e= error of the model compared with the true value of the samples.
Chai and Draxler (2014) suggested that to provide better insights of error in
which the error distribution is unknown, Standard Error (SE) could be used. The
formula is depicted as follow:
55
𝑆𝐸 = �1
𝑛 − 1�(𝑒𝑖 −∈�)2𝑛
𝑖=1
Where e= error of the model compared with the true value of the samples and
∈�= average of error.
Regardless of the implementation of whether RMSE or SE in the analysis, the
fundamental behind this analysis is to compare the error resulted by the
traditional DCF valuation model with the error resulted by dynamic WACC
model. Each model derives a fair value of the share and then it will be compared
with the closing market price as of January 1st, 2018 which is the proxy of true
value. The lower number of error resulted from one model will provide
evidence regarding superiority of one model towards another since it could
provide better accuracy in predicting the fair value of the share.
CHAPTER IV:
DATA ANALYSIS AND INTERPRETATION OF RESULTS 12
56
4.1. Data Description
After the process of PER comparison testing by using the MAD statistical
analysis introduced by Leys et al (2013), below is the selected companies which
then to be used in this study as the representative samples of each industry
sector in JASICA:
No. Companies' Names Share Tickers JASICA Sectors1 PT Indofood CBP Sukses Makmur, Tbk. ICBP Consumer Goods2 PT Mitra Adiperkasa, Tbk. MAPI Trade, Service, and Investment3 PT Astra Agro Lestari, Tbk. AALI Agriculture4 PT Semen Indonesia (Persero), Tbk. SMGR Basic Industry and Chemicals5 PT Astra International, Tbk. ASII Miscellaneous Industry6 PT Adaro Energy, Tbk. ADRO Mining7 PT Adhi Karya (Persero), Tbk. ADHI Property, Real Estate, and Building Construction8 PT Telekomunikasi Indonesia (Persero), Tbk. TLKM Infrastructure, Utilities and Transportation
Table 1 – Representative Samples Chosen
Below is the descriptive statistics of closing market price for each representative
samples presented in form of data tabulation and box plot:
No. Descriptive Statistics Value1 Mean 6,277 2 Median 6,290 3 Lower Quartile (Q1) 1,966 4 Upper Quartile (Q3) 9,681 5 Interquartile Range 7,715 6 Minimum Value 623 7 Maximum Value 12,950
Table 2 – Descriptive Statistics of Actual Market Price
57
Figure 1 – Box Plot of Actual Market Price
As for the data processing of the representative samples selection, please refer
to Appendix A-4.
The financial information of each representative sample taken from financial
statements from year 2015-2017 then will be categorized in the forecasting
format to enable more convenient forecasting process of the financial
performance.
Based on the forecasted financial performance in the future, the FCF then will
be discounted to the NPV by using WACC as the discount factor to derive the
fair value of the respective company sample. The table presented in the next
page represents the summary of FCFF, WACC, NPV, Net Debt Value, and Fair
Value per Stock for both traditional DCF Valuation Model and the Dynamic
WACC Valuation Model:
Market Price 1 Jan
2018
620 5620 10620
Boxplot
58
No. Share Tickers NPV FCFE (in Billions) WACC Fair Value/Share1 ICBP 110,749 10.37% 9,498 2 MAPI 17,987 8.51% 1,084 3 AALI 32,455 7.92% 16,904 4 SMGR 76,909 10.13% 12,970 5 ASII 382,206 8.58% 9,442 6 ADRO 77,696 9.84% 2,429 7 ADHI 13,606 6.12% 3,822 8 TLKM 463,757 8.79% 4,601
Table 3a – Traditional WACC DCF Valuation Model
1 2 31 ICBP 108,200 10.44% 10.48% 10.51% 9,280 2 MAPI 13,574 9.46% 9.53% 9.60% 818 3 AALI 30,390 8.01% 8.07% 8.13% 15,828 4 SMGR 72,428 10.23% 10.33% 10.44% 12,214 5 ASII 317,783 8.82% 9.06% 9.30% 7,850 6 ADRO 73,938 9.88% 10.00% 10.12% 2,311 7 ADHI 8,525 6.31% 6.55% 6.83% 2,395 8 TLKM 437,277 8.88% 8.96% 9.04% 4,338
WACC - Explicit YearNo.Share Tickers
NPV FCFE (in Billions) Fair Value/Share
Table 3b – Dynamic WACC DCF Valuation Model
As for the details of data processing of the representative samples and the
forecasting assumptions implied, please refer to Appendix A-5.
After deriving the fair value per share for each representative sample from both
traditional DCF valuation model and Dynamic WACC Model, the fair value per
stock as of January 1st, 2018 of each respective sample will then be compared
with the actual market closing price as of January 1st, 2018. The table presented
in the next page represents the comparison between the fair value per share
from each valuation model with the actual closing price in the market as of
January 1st, 2018:
59
No. Share Tickers
Market Price 1 Jan 2018
Traditional Model
1 ICBP 9,275 9,498 2 MAPI 623 1,084 3 AALI 12,950 16,904 4 SMGR 10,900 12,970 5 ASII 8,300 9,442 6 ADRO 1,990 2,429 7 ADHI 1,895 3,822 8 TLKM 4,280 4,601
Table 4a – Traditional WACC Model and Market Price Comparison
No. Share Tickers
Market Price 1 Jan 2018
Dynamic Model
1 ICBP 9,275 9,280 2 MAPI 623 818 3 AALI 12,950 15,828 4 SMGR 10,900 12,214 5 ASII 8,300 7,850 6 ADRO 1,990 2,311 7 ADHI 1,895 2,395 8 TLKM 4,280 4,338
Table 4b – Dynamic WACC Model and Market Price Comparison
To provide better insights regarding the accuracy and validity of each model in
determining the value of the stock, RMSE statistical analysis will be conducted
to summarize the error of each model in determining the value of each
representative sample. In addition to that, to mitigate the problem of unknown
error distribution, due to the small number of samples, the researcher also
conducted the SE statistical analysis method. Table presented in the next page is
the table representing the error of each model and the implied RMSE and SE:
60
No. Share Tickers
Market Price 1 Jan 2018
Traditional Model |Error| RMSE SE
1 ICBP 9,275 9,498 223 2 MAPI 623 1,084 461 3 AALI 12,950 16,904 3,954 4 SMGR 10,900 12,970 2,070 5 ASII 8,300 9,442 1,142 6 ADRO 1,990 2,429 439 7 ADHI 1,895 3,822 1,927 8 TLKM 4,280 4,601 321
1,785 1,288
Table 5a – Error in Traditional WACC Model
No. Share Tickers
Market Price 1 Jan 2018
Dynamic Model |Error| RMSE SE
1 ICBP 9,275 9,280 5 2 MAPI 623 818 195 3 AALI 12,950 15,828 2,878 4 SMGR 10,900 12,214 1,314 5 ASII 8,300 7,850 450 6 ADRO 1,990 2,311 321 7 ADHI 1,895 2,395 500 8 TLKM 4,280 4,338 58
1,151 965
Table 5b – Error in Dynamic WACC Model As for the interpretation of table above, it will be explained in the next section.
4.2. Result and Discussion
4.2.1 Data Interpretation and Theoretical Integration
Based on the data provided in the previous section, the core difference
between the constructed model and the traditional model of DCF valuation
technique is about the determination of the WACC through the forecasted
FCF period (Table 2a and 2b).
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While the traditional DCF valuation model assumes that the WACC will
remain constant throughout the company’s life, the constructed DCF
model proposed by the researcher takes into account the effect of internal
financing resulted from the retained earnings of the company as explained
in the Pecking Order Theory (Myers, 1984).
To provide better insight regarding the logical reasoning which result in
the different determination of WACC in both valuation models, the
formula of WACC must be revisited. The formula of WACC is as follow:
𝐾𝑐 = (𝐾𝑒 × 𝐸) + (𝐾𝑑 × (1 − 𝐸))
Where Kc= weighted average cost of capital, Ke= cost of equity,
E= weight of equity towards the capital employed, Kd= after-tax cost of
debt, (1-E)= weight of debt towards the capital employed.
The formula of WACC above then can be broken down into two, cost of
equity and cost of debt in which are calculated as follows:
𝐾𝑒 = 𝑅𝑓 + (𝑅𝑚 − 𝑅𝑓) × 𝛽
Where Ke= cost of equity, Rf= risk free, Rm= market risk, β= correlation
for unsystematic risk; and
𝐾𝑑 =𝐼
𝐵𝑉𝐷 × (1 − 𝑇)
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Where Kd= cost of debt, I= interest expense for the current year,
BVD=book value of debt, and T= effective tax rate.
From the formulas presented above, it is clear that the changes in whether
cost of equity, cost of debt, and the proportion of each financing
instrument will result in the changes of WACC. Therefore, this would be
the main driver in determining the WACC for each model.
To re-enrich the traditional model through integration of internal financing
and Pecking Order Theory, the WACC can be re-stated as follows:
𝐾𝑐 = 𝐾𝑒 ∗ 𝐸𝑛−1 ∗ (1 + 𝑆𝑛)𝑛
𝐷 + 𝐸𝑛−1 ∗ (1 + 𝑆𝑛)𝑛 + 𝐾𝑑 ∗ (1 − 𝑇) ∗ 𝐷
𝐷 + 𝐸𝑛−1 ∗ (1 + 𝑆𝑛)𝑛
In the traditional DCF valuation model, the WACC is assumed at constant
since it implies the irrelevancy of capital structure theory introduced by
Miller and Modigliani (1958) which states that the capital structure of the
company will not affect the cost of the capital of the company in a perfect
capital market. In the proposition, Miller and Modigliani (1958) solved the
equation of cost of equity from the original WACC which is as follow:
𝐾𝑒 = 𝐾𝑐 + (𝐾𝑐 − 𝐾𝑑) ×𝐷𝐸
The formula above implies that any efforts to change the proportion of the
financing sources to a cheaper one (which is debt) will result in the
63
increasing perception of risk regarding the remaining equity holders in
which the increase is just about equivalent to offset the effect of lowering
the WACC through increasing weight of debt and therefore, the WACC
will remain constant and the financing options will not affect the WACC
at all.
However, there are some critics regarding this theory. As mentioned by
Myers (2001), should the Miller and Modigliani is acceptable in the real
finance practice, there must be no financing strategy required for the
companies to survive in the industry, while in fact there are so many
financial innovations conducted by the Chief Financial Officer (“CFO”) of
the companies to achieve the optimal capital structure of the company.
In regards to the critics of Miller and Modigliani (1958), there are some
capital structure theories developed such as tradeoff theory, free cash flow
theory, and pecking order theory as what have been mentioned in the
literature review.
The difference of the constructed model with the traditional model of DCF
valuation lies in terms of the consideration of internal financing impact to
the perception of the investors and the WACC of the company. In align
with the suggestion from Koller et al (2010) which suggests that any
corporate actions such as debt issuance, of equity issuance shall be
assumed constant due to its unavailability of the forecasting, the
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constructed model offered the dynamics or changing of WACC through
the changing in internal financing capacity.
According to the Pecking Order Theory, the company will try to finance
its operations by using the safest financial resources first that is the
internal financing since it is considered as the “cheapest” financing
sources of the companies in which they don’t need to incur additional
costs to raise the funds for the operation’s financing. The internal
financing is derived from the company’s retained earnings, generated from
the operations of the current year and therefore will become part of the
equity proportion in the capital structure.
As what can be seen in Table 2a and 2b, the dynamic WACC model
provides higher WACC than the traditional model. This is caused by the
increasing of retained earnings in the company which then increases the
proportion of equity towards the capital employed. According to Berk et al
(2015), there is a dimension in cost of capital called the cost of retained
earnings which is formulated exactly the same as the cost of common
equity. The philosophy behind the cost of retained earnings is the lost
opportunity for the investors who reinvest the earnings back to the
business rather than withdrawing the earnings in form of dividends
income and therefore expects a certain amount of return based from the
investment. This philosophy is align with the cost of common equity in
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which the return expectation is derived from the perception of the risk
towards the company that the equity investors are investing in. In this
study, the combination of both common equity and retained earnings will
be referred as the “cost of equity”.
Therefore, based on the aforementioned premises and theories, the
dynamic WACC model provides better framework and understanding in
valuing the fair value of company’s stock in some dimensions.
The dynamic WACC is capable to explain and integrate the impact of
internal financing to the changes in capital mix and therefore, the value of
the company compared with the traditional model which assumes that the
capital mix are at constant rate. The weakness of implying the traditional
model is that the company is assumed to issue debt over time along with
the increase of the company’s performance without considering the
utilizations of the new issued debts to the operation of the company.
In addition to that, by emphasizing on the internal capacity of the
company to grow its own equity and assuming constant level of debt, this
dynamic WACC model implies that the “real value” of the company is
resulted from the operations of the company and its capacity to reinvest
those internal funds to expand the operation of the company. This
implication covers the weakness of free cash flow and irrelevant theories
which imply that the value of the company can be affected by the increase
66
of leverage. Even though integrating the effect of financial leverage will
provide more insights regarding the company’s fair value, however, from
the perspective of the equity holders, the ability to internally grow over
the time will be the best indicator to identify worth-investing company.
The last advantage of the dynamic WACC model is the focus on present
condition of financial leverage without overweighing the impact of
financial leverage in the future. Unlike traditional model which assumes
new debt issuance over the explicit forecast period or future, the dynamic
WACC model focuses on finding the true value “at the present time” by
subtracting the current level of debt from the firm’s value to derive the
share’s fair value. This concept was in align with the suggestion of Koller
et al (2010) which states that matching the cost of equity with real cash
flow stream for the equity is not feasible unless the company’s capital mix
is 100% equity.
4.2.2 Data Validation Result through Quantitative Approach
Based on what have been explained in the previous section, the Dynamic
WACC model proposed by the researcher possesses conceptual
advantages over the traditional WACC model. In addition to the
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conceptual advantages, the researcher had tested the validity of the
Dynamic WACC model through the quantitative approach as well.
It can be seen from the table 4a and 4b provided in the data description
section that the Root Mean Squared Error (RMSE) of the traditional
WACC model is 1,785 while the RMSE of the Dynamic WACC model is
1,151. It should be noted that in the quantitative testing, both of the
Traditional and Dynamic WACC models are tested against the same
market prices of each representative sample. All of the variables in both
models are kept constant except the WACC variable.
Recalling that RMSE indicates the error resulted by the estimators (“in
this research, the model”) in predicting the actual output (Chai and
Draxler, 2014), higher RMSE indicates higher error of one model in
predicting the actual output and vice versa. Therefore, it can be concluded
that the higher RMSE of Traditional WACC model which is 1,785
indicates lower accuracy of the model compared with Dynamic WACC
model which is 1,151.
The researcher is aware that the figure represented by the RMSE in the
Dynamic WACC model is highly influenced by the number of
representative samples taken and the distribution of each data point in the
representative samples. The distribution of the market price of each
representative sample as of January 1st, 2018 can be seen in Table 2.
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From the Box-Plot provided in Figure 1, the data from representative
samples are widely distributed. This could result in the biased RMSE
interpretation of each representative sample. Though the MAD
preliminary filtering has been done, it can only mitigate the bias of market
over-confidence towards certain share compared with the industry
performance. However, mitigating the mean bias of cross-sectional data
from representative sample is not feasible, especially in case of small
sample scope.
Though RMSE has provided insight regarding the accuracy of the model,
to provide more valid accuracy interpretation, the researcher utilizes the
SE statistical analysis as well. Based on the data presented in Table 4a and
4b, the Traditional WACC model possesses SE of 1,288 while the
Dynamic WACC possesses SE of 965. While RMSE indicator shows the
mean error of an estimator towards actual data set, the SE indicator adjust
the error by comparing each error with the average of errors implied by
the estimator.
In nature, SE indicates the same measurement of error with RMSE and it
is interpreted the same way with RMSE. The SE of Traditional WACC
model is higher than the Dynamic WACC model which indicates that the
Dynamic WACC model proposed by the researcher is still more accurate
compared with the Traditional WACC model. The reduction of 323 in SE
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indicator can be interpreted as the increase of accuracy in Dynamic
WACC model compared with the Traditional WACC model.
Based on the validation of both qualitative and quantitative approaches, it
can be seen that the Dynamic WACC model provides better conceptual
advantages and accuracy in determining the fair value of company’s share
price both from RMSE and SE indicators.
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CHAPTER V:
CONCLUSION AND RECOMMENDATION
5.1. Conclusion
The purpose of this study is to construct new DCF valuation model which
integrates the internal financing impact on the capital structure of the company
through theoretical integration and provides sufficient evidence regarding the
validity and accuracy of the model through quantitative approach.
By using the MAD as the filtering process in sampling design and random
stratified sampling, the researcher obtained eight companies to be then used as
the representative samples of each industry sector in JASICA. Free cash flows
of each representative samples then were forecasted by using the financial
information from the prior year as basis. The fair value estimation results of the
new DCF valuation model and the traditional model thus were compared to the
actual market price as of January 1st, 2018 and analyzed by using RMSE and SE
to mitigate the impact of small number of samples.
Based on the statistical analysis RMSE and SE that are presented in the
previous section, it can be concluded that the constructed model proposed by
the researcher provides better accuracy in determining the fair value of the
company and thus more reliable in determining the market price expectation
71
compared with the traditional model since RMSE and SE of Dynamic WACC
model is lower compared with the Traditional WACC model.
5.2. Limitations and Recommendations
5.2.1 Limitations of Dynamic WACC Model
As what has been mentioned in the literature review, every valuation
technique provides different approach and assumptions in estimating the
fair value of an asset. Thus, the fair value resulted from each model is
limited to the approach and assumptions implied in the model.
In the Dynamic WACC model constructed by the researcher, the model
implies that the debt level of a company is assumed at constant due to the
suggestion of Koller et al (2010) which suggested that the corporate
actions such as issuance of debt and equity are not feasible to be predicted.
The Dynamic WACC model implies that the “dynamic” aspect of the
WACC is resulted solely due to the increase of internal financing
(Retained Earnings) which is generated as the operation’s result. Since the
Retained Earnings changed the equity proportion towards the capital
employed, therefore, the WACC is increased along with the forecast
periods. In addition to that, the model also applies optimistic approach in
the FCF forecasting since this was in align with Walther and Willis (2013)
72
which stated that the analysts’ forecast commonly is very optimistic due to
the impact of investors’ expectations towards the company. The Dynamic
WACC model doesn’t cover the financial industry sector in JASICA due
to the difference of valuation framework and business operations
compared with the non-financial industry.
5.2.2 Recommendations for Future Research
Though the assumptions in Dynamic WACC model may provide
advantages from the perspective of practical dimension, there are still so
many opportunities for the future researches to develop other valuation
model.
Future research may integrate other dimensions which affect the WACC.
The research of Vélez-Pareja et al (2008) integrated the Tradeoff Theory
which focuses on the changes of leverage level due to the impact of tax
shield generated by the debt financing, while the model constructed by the
researcher integrates the Pecking Order Theory which focuses on the
changes of internal financing capacities which affect the equity proportion
towards the company.
In addition to that, future research may focus on the development of the
valuation of financial institutions. As what the researcher had been
73
observed during the literature review, most of the researches conducted in
valuation subject are more focused on the non-financial industry rather
than the financial industry. This could become an opportunity for the
future research.
According to Lundholm (2001), the research in valuation subjects should
not focus only on comparing the existing models, but also focuses on
increasing the accuracy of the valuation. This suggestion therefore may be
very useful for the framework in the future research.
The last dimension that the researcher can offer for the future researcher
would be about the observation in the other dimension in the DCF
valuation model, such as periods and terminal value.
5.3. Implications
The researcher believes that the Dynamic WACC model constructed by the
researcher is suited for the current practical condition of finance field. The
implementation of this Dynamic WACC model can provide advantages as
follow:
a. Better and more reliable discount factor by taking into account the
increasing of investors’ demand towards the company’s internal financing
74
sources. This framework was aligned with the literatures of Berk et al
(2015).
b. Capability to integrate the internal financing capacity as the valuation
framework. This model emphasizes the importance of the company to self-
develop themselves through the retained earnings of the company. Unlike
the Free Cash Flows Theory which implies that the excessive financial
leverage will provide value for the company;
c. By expressing the equity value as the firm value deducted by the net debt
value, the model provides better methodology in matching the free cash
flows with the respective discount factor.
By implementing the Dynamic WACC model, the sell-side analysts could
provide better target price which integrates the real increase of market’s
expectation towards certain company’s share while also focusing on the internal
capacity of the company to grow rather than misleadingly taken into the account
the excessive amount of leverage as the efforts to increase shareholders’ value.
By focusing on this internal capacity of the firm to grow over time, the Merger
and Acquisition analysis can also be benefited. The bidder firm can avoid the
unfavorable MnA deal due to the extreme optimistic synergy valuation since the
Dynamic WACC model provides “adjustment” towards the optimistic valuation.
Therefore, the researcher suggests that the implementation of Dynamic WACC
constructed by the researcher will provide better insights and framework in the
75
valuation and better accuracy compared with the traditional DCF valuation
model.
APPENDIX
A-1) Growth Domestic Product (GDP) of Indonesia 2011-2018
Year GDP Growth (Y-o-Y)2013 5.56%2014 5.01%2015 4.88%2016 5.03%2017 5.07%
004%
005%
005%
005%
005%
005%
006%
006%
2013 2014 2015 2016 2017
GDP Growth (Y-o-Y)
98
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