In terms of data collected during three years from 2014 to 2016, there were 303,
305 and 327 firms being surveyed in 2014, 2015 and 2016 respectively. With 935
entries of companies, 100% selected companies for sample are non-financial
enterprises listed on HOSE during three years from 2014 and 2016. These firms are
monitored in terms of default until 2017 to compare with empirical results from
selected models.
* The application of accounting-based approach via Z- Score model (1968) and Z-Score
model (1993) is conducted to calculate the value of Z index for each company’s entry and
compare with the reality
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recast
model by Altman (1983), prediction model by Deakin (1972), logit and probit analysis
models including Ohlson's bankruptcy prediction model (1980), forecast model by
Zmijewski (1984), Fulmer's model (1984), forecast model by Zavgren (1985)....
It can be seen that foreign researchers who studied default models via
accounting-based approach primarily focused on solving two objectives:
(1) Evaluate conditions at which the model works effectively.
(2) Concentrate on explanatory variables that can be used to design the suitable
model.
1.1.2. Accounting-based approach in Vietnam:
6
In Vietnam, many studies on accounting-based approach were carried out.
They are Dinh The Hien (2008); Lam Minh Chanh (2007); Nguyen Trong Hoa
(2009); Hoang Tung (2011), Nguyen Thanh Cuong, Pham The Anh (2010); Khong
Thanh Hoa (National Economics University, 2008); Dao Thi Thanh Binh (Hanoi
University, 2011); Nguyen Phuc Canh and Vu Xuan Hung (2014); Tram Thi Xuan
Huong et al (2015); Pham Thi Tuong Van (2016); Nguyen Duy Collect (2016);
Tristan Nguyen and Trung Dung Doan (2018)...
Although many studies aimed at improving default prediction by using Z-score model,
these research with a concentration on accounting-based approach have these following
strengths and shortcomings:
❖ Strengths
+ Data was easily collected from financial statements and public information.
+ Data was widely accepted and used in reality.
❖ Shortcomings
+ Data in financial statements are data from the past which does not possess
prediction features for the future.
+ Data can be forged and overstated which leads to results being inaccurate.
+ Different methods of accounting can produce different outcomes.
1.2. Corporate defaults in market-based approach
1.2.1. Market-based approach in the world:
An overview of research using market-based approach via traditional methods and
option pricing shows that there are many studies following this orientation such as option
pricing – Moody’s – KMV (1993), research by Bharath (2004); Chan et al. (Chan, Faff, and
Koffman, 2008; Gharghori, Chan and Faff, 2007); Lu (2008)...
1.2.2. Some research using KMW-Merton model in Vietnam
Some notable studies are Lam Chi Dung and Phan Dinh Anh (2009), Le Long Hau
(2010), Nguyen Thi Canh and Pham Chi Khoa (2014)...
1.3. Research comparing accounting-based approach and market-based
approach
Some studies focusing on comparing accounting-based approach and market-
based approach in corporate default forecast are Beaver et al. (2005); Agarwal and
Taffler (2006), Liu et.al (2010); Illegeist et al. (2004); Mensah (1984) and Hillegeist et
al (2004); Saunders and Allen (2002)...
. Research on corporate default forecast whether using which approach all had
strengths and weaknesses and required to be modified to suitably apply with each
context. In Vietnam, there has not been a study that is able to clarify the efficiency of
7
corporate default prediction through using two above approaches, therefore to provide
conclusion on the efficiency of forecast model usage as well as recommendations for
application.
Through the overview of above studies, the author discovered several
shortcomings as follows:
Firstly, corporate default forecast models are studied and applied widely in countries
with developed market economy while this is not a similar case in Vietnam. A few research
on this subject were conducted but still suffer various limitations.
Secondly, there is a lack of legal documents, suitable forecast models and methods to
identify corporate defaults in the context of applying default prediction. Also, there have not
been standard methods as well as regulations for the identification of default point for
Vietnamese enterprises in order to use them as the basis for practical application.
Thirdly, studies on corporate default prediction in Vietnam only researched the
application of only one forecast model and not multi-approaches or models to compare and
select the most appropriate method.
Taken all these above limitations into consideration, the author decided to
conduct “A study on accounting-based approach and market-based approach in
corporate defaults in Vietnam” with the aim of providing solutions to them.
Additionaly, the thesis can be considered to be significant theoretically and practically,
especially in the context of Vietnam’s regulations related to corporate default forecast
being modified to be complied with international standards.
CHAPTER 2:
THEORETICAL FRAMEWORK ON CORPORATE DEFAULT FORECAST
2.1. Corporate defaults
2.1.1. Definition of corporate defaults and bankruptcy
The thesis clarifies the definition of default risk, default and bankruptcy. Law
on Bankruptcy promulgated on June 19, 2014 stated that “Bankruptcy means a status
where an enterprise or cooperative becomes insolvent and is subject to a people's
court's decision declaring bankruptcy”. It also clarified that insolvent enterprise or
co-operative means an enterprise or cooperative failing to perform an obligation to
repay a debt within three (3) months from the maturity date.
The research stated that corporate default is a company’s failure to meet the legal
obligations (or conditions) of a loan, tax and employee payments Theoretically, it is
possible to use one or mix with other criteria to identify default which can possibly
lead to bankruptcy. According to Law on Bankruptcy 2014, bankruptcy means a status
8
where an enterprise or cooperative becomes insolvent and is subject to a people's
court's decision declaring bankruptcy.
2.1.2. Characteristics of default risk: imbalanced distribution of interest rate,
asymmetric information on default risk, unsystematic risks.
Measurement of default risk is conducted via four primary quantities:
❖ Probability of default
❖ Loss given default
❖ Expected loss
❖ Present value of the expected loss
2.1.3. Factors affecting probability of corporate defaults
- Business factors
- Non-business factors
2.1.4 Corporate default threshold
By carrying out research on regulations related to the identification of default
threshold in Vietnam and the world, the study base on these following criteria to
classify default companies:
(1) The company fails to fulfil obligations to a debt within 90 days from the
maturity date
(2) Business results suffer loss for three consecutive years or cummulative loss
exceeds authorized capital stated in the most recent audited financial
statement upon the time of evaluation.
(3) The company has negative revenue for a year and share capital in that year is
lower than authorized capital.
(4) Audit organizations refuse to audit or provide opinions for the company’s
most recent financial statement.
2.2. Corporate default forecast models
2.2.1. Model using accounting-based approach
* Model by Altman (1968)
Z = 1,2X1 + 1,4X2 + 3,3X3 + 0,64X4 + 0,999X5
In which: Z = Composite index
X1 = Working capital / Total assets
X2 = Retained earnings / Total assets
X3 = Earnings before interest and taxes (EBIT)/ Total assets
X4 = Market value of share capital / Book value of total debts
X5 = Revenue / Total assets
9
The research applies classification if Z-score is smaller than 1.81, the company
defaults.
* Z-score forecast model by Altman (1993):
Z= 6,567X1 + 3,26X2 + 6,72X3 + 1,05X4
In which: Z = Composite index
X1 = Working capital / Total assets
X2 = Retained earnings / Total assets
X3 = Earnings after interest and taxes (EAIT)/ Total assets
X4 = Book value of equity capital / Book value of total debts
The research applies classification if Z-score is smaller than 1.10, the company
defaults.
2.2.2. Model using market-based approach
• KMV model
According to KMV model, default pount is approximately estimated by short-
term debts and half of long-term debts
DPT = STD + 0.5*LTD
In which
+ DPT: default point
+ STD: Short-term debts
+ LTD: Long-term debts
In addition, before calculating probability of default, KMV firstly calculates
one more quantity called Distance to Default (DD). Distance to Default is the
expected difference between the asset value of the firm relative to the default barrier,
after correcting and normalizing for the volatility of assets.
DD=
Probability of default has a correlation with Distance to Default. If the larger the
Distance to Default is, the smaller the probability of default will be and the company
is unlikely to default.
10
Figure 2.1. Definition of KMV model
Calculation of distance to default includes two steps:
1. Calculation of Absolute Distance to Default- DD’
2. Calculation of Relative Distance to Default - DD
Absolute Distance to Default (DD’) is expressed as a distance between expected assets
and Default Point (DPT) or it can be displayed as a sum of initial distance and the growth of
that distance within the period T
=
+ −
1
2
Dissimilar to Merton model, in KMV model µA is no longer risk-free rate but
expected rate of the return of the firm's asset and DPT is Default Point instead of
nominal value K. Expected growth of assets is equal to − 2 instead of
µA. While rate of return is normally distributed, consequently future value of
investment (or effective yield of return) is distributed lognormaly. The relationship
between two distributions is as follows:
!" ~ $ % −
2
2 , √(
Dividing absolute value DD’ with calibrated (according to T – usually
annualized) volatility of assets, we can calculate DD in relative terms as a multiplier of
standard deviation. Therefore, the research can identify the probability of default
according to this following formula:
PD = 1 - N(d2) = N (-d2)
In KMV model, probability of default (PD) is replaced with Expected Default
Frequency (EDF).
11
Figure 2.5. Graph demonstrating the correlation between EDF and DD
• Methods to identify default point when using KMV model
When applying KVM model in each market, at each period and for each subject,
a different default point will be used.
In the research by Anthony Saunders (2006) in Credit Risk Measurement, out of
40.000 surveyed enterprises, 3.400 default companies defaulted with data collected
from 1996 to 2001 and the default point of KMV model in 2011 was 20%.
Lopez (2002) in The Empirical Relationship between Average Asset Correlation,
Firm Probability of Default studied 2000 populations in credit portfolio investments including
companies from the US, Japan and Europe with data collected in 2000 to establish Credit
Ranking based default value of KMV.
The model was also used by many researchers such as Allen M. Featherstone,
Michael R. Langemeier, and Kent Haverkamp (2006) in Credit Quality of Kansas
Farms to calculate probability of default and respective credit ranking for 51.382 data
inputs from 1980 to 2003.
The author used Credit ranking by Lopez (2002) with D = 18.25% ro identify whether
companies default or not.
Chapter 2 provided the corporate default basis and studied the default threshold
for Vietnamese companies. The thesis selected Z-score (1968) and Z- Score model
(1999) for accounting-based approach and KMV model for market-based approach.
These are representative models requiring theoretical and empirical research for
Vietnamese enterprises.
12
CHAPTER 3
RESEARCH METHODS
3.1. Research design
The application is implemented through these four following steps:
Step 1: Financial and market data are collected from secondary sources including
financial accounting reports, market data archived at Stoxplus Company, reports of
companies listed on Ho Chi Minh Stock Exchange from 2014-2016.
Data was collected an inserted into fields to calculate default index:
- In terms of finance: Working capital, short-term debts, long-term debts,
earnings after taxes, return on assets at each period of time, total assets, retained
earnings, earnings before interest and taxes, market value of share capital, book value
of total debts, revenue.
- In terms of market: prices in each transaction day of the year, transaction
volume in each transaction day of the year to calculate the market’s asset capitalization.
Step 2: Application of default forecast models via accounting-based and
market-based approaches to predict corporate defaults.
* Application of accouting-based approach via Z-score model
+ Applying Z-score model (1968), discriminant function is as follows:
Z = 1,2X1 + 1,4X2 + 3,3X3 + 0,64X4 + 0,99X5
Z-score is the foundation of classifying default and non-default companies.
- If the company has Z-score index being smaller than 1,81, it is classified as a
default company.
- If the company has Z-score index being higher than 1,81, it is classified as a
non-default company.
+ Applying Z-score model (1993)
Z= 6,567X1 + 3,26X2 + 6,72X3 + 1,05X4
If the company has Z-score index being smaller than 1,10, it is classified as a
default company
- If the company has Z-score index being higher than 1,10, it is classified as a
non-default company.
* Application of market-based approach via KMV model
The research identified default point through estimation of short-term debts and
half of long-term debts:
DPT = STD + 0.5*LTD (19)
In which:
13
+ DPT: default point
+ STD: Short-term debts
+ LTD: Long-term debts
In addition, before calculating probability of default, KMV firstly calculates
one more quantity called Distance to Default (DD). Distance to Default is the
expected difference between the asset value of the firm relative to the default barrier,
after correcting and normalizing for the volatility of assets.
DD=
Calculation of distance to default includes two steps:
1. Calculation of Absolute Distance to Default- DD’
2. Calculation of Relative Distance to Default - DD)
Absolute Distance to Default (DD’) is expressed as a distance between expected assets
and Default Point (DPT) or it can be displayed as a sum of initial distance and the growth of
that distance within the period T
=
+ −
1
2 21
According to the model’s definition of default, the company’s assets in the
normally distributed time T have value lower than default point and therefore, the
research can identify probability of default via this following formula:
PD = 1 - N(d2) = N (-d2)
In KMV model, probability of default (PD) is replaced with Expected Default
Frequency (EDF).
• Default point
Lopez (2002) selected probability of default P for customers with D ranking in
The Empirical Relationship between Average Asset Correlation, Firm Probability of
Default
In case of P >= 18.25, the company does not default.
In case of P <18.25, the company defaults.
Step 3: Results and pratical observations of corporate defaults
The study created a table to compare results collected from Z-Score model
(1968); Z-Score model (1993) and KMV model with pratical observations
Step 4: Using MCC and ROC methods to test Z-score and KMV models
● Through the usage of Z-score and KMV models, the research compared and
classified status quo of Vietnamese firms:
14
- Type I error (Rejection of its correctness and assumption of it being incorrect)
and type II error (approval of of its correctness while it is incorrect)
Regarding a forecast with positive and negative possibilities, results are classified
into these four following groups: TP (True positive) and TN (true negative) state correct
forecast while FP (false positive) and FN (false negative) state incorrect forecast.FN is
equivalent with type I error and FP is equivalent with type II error.
Table 3.1. Confusion matrix
Content Default Non default
Rejection Correct prediction (TN) Type I error (FN)
Non-rejection Type II error (FP) Correct prediction (TP)
* Using MCC (Matheews correlation coeficient) to test the accuracy of two
models:
The formula is as follows:
MCC =
∗*+
∗+, -
.+
.+**.+
*.+*
MCC is in the range from -1 to 1; the closer it is to 1, the better the model is.
Using absolute FN and FP, the research calculate error rate: FNR (false negative
rate) and FPR (false positive rate).
Additionally, the study considered sensitivity and probability of type II error to
test the accuracy of models.
False negative rate (FNR) demonstrates the degree of incorrect prediction for an
event when it is positive but the conclusion is negative: FPR=FN/(FN+TP).
False negative rate (FNR) illustrates the degree of incorrect prediction for an event
when it is negative but the conclusion is positive:
A good MCC model is essential to have low FNR and FPR. In credit ranking,
the false classification of capital loaning application from good to bad will lead less
serious consquences than the other case.
● Using ROC (Receiver Operating Characteristic) to test the accuracy of two
models.
15
Figure 3.1. ROC
Sobehart and Keenan (2001) offered the usage of ROC to confirm internal credit
ranking for companies and area under ROC (AU ROC).
Figure 3.2. Area under ROC
● Classification of AU ROC
Figure 3.2: Classification of AU ROC
AU ROC Significane (accuracy of ROC)
AU > 0.9 Very good
0.8 <AU≤0.9 Good
0.7 <AU≤0.8 Average
16
0.6 <AU≤0.7 Not good
0.5<AU≤0.6 Not be able to discriminate
AU ROC can be under 0.5 but at that time, it is necessary to reconsider criteria
with large deviation that lead to probability of correct negative customers being smaller
that probability of incorrect positive customers (Y<X).
3.2. Research data and in-depth interviews
3.2.1. Research data
* Data from 2014 to 2016 on Ho Chi Minh Stock Exchange has 935 company
entries
3.2.2. In-depth interviews
- Implementation of in-depth interviews is to clarify research orientation, test the
practical application and propose appropriate recommendations/
- Interviewees: leaders of credit institutions, securities companies and managers
(State Bank, Securities Commission)
- Contents of interview: collection of information, opnions and evaluation on
(i) The usage of quantification models in default forecast in Vietnam and
interviewees’ units.
(ii) The influence degree of factors such as capital structure, business efficiency,
scope of assets, state managing mechanism on corporate defaults.
(iii) Solutions and recommendations
- In-depth interview contents were prepared and designed according to
questions’ categories.
Chapter 3 demonstrated the research design according to four steps in using
models via accounting-based and market-based approaches to predict corporate
defaults and compare with status quo of companies. The chapter also suggested the
usage of MCC and ROC to compare the accuracy when applying forecast models.
CHAPTER 4
APPLICATION OF ACCOUNTING-BASED AND MARKET-BASED
APPROACHES IN CORPORATE DEFAULT FORECAST
4.1. Business performance of companies listed on HOSE from 2014 to 2016
Until the end of 2017, there were 344 enterprises active on HOSE. In 2017, there
were 31 newly listed companies with considerable first listed value and fastly-growing
transaction volume through many years.
17
Table 4.1.Market transaction throughout years (2014, 2015, 2016, 2017)
Year
Number of
trading
sessions
Transaction volume
(billion VND)
Market capitalization
(billion VND)
2014 247 536.484 985.258
2015 248 487.407 1.146.925
2016 251 748.608 1.491.778
2017 250 1.061.183 2.614.150
Source: HOSE annual reports
It can be said that along with increasing number of companies listed on HOSE
in terms of scale and quantity, many enterprises also cancel their listing due to losses
from business operation.
4.2. Application of default forecast models with companies listed on HOSE
4.2.1. Application of models and results
In terms of data collected during three years from 2014 to 2016, there were 303,
305 and 327 firms being surveyed in 2014, 2015 and 2016 respectively. With 935
entries of companies, 100% selected companies for sample are non-financial
enterprises listed on HOSE during three years from 2014 and 2016. These firms are
monitored in terms of default until 2017 to compare with empirical results from
selected models.
* The application of accounting-based approach via Z- Score model (1968) and Z-Score
model (1993) is conducted to calculate the value of Z index for each company’s entry and
compare with the reality.
Results shown at Appendix 2: Results according to index of Z-score, KMV and
the reality
The research aggregrated results from Z- Score model (1968) and Z-Score model
(1993) to calculate Confusion matrix.
Table 4.2: Results aggregrated from Z- Score model (1968) and Z-Score model (1993)
Entries of
surveyed
companies
Results of Z – Score
model (1968)
Results of Z – Score
model (1993) Results from reality
Default Non-
default
Default Non-default Default Non-
default
935 488 447 135 800 69 866
18
Source: Author’s calculation
Table 4.3: Confusion matrix according to Z-Score model (1968)
Content Default Non-default Total
Rejection TN: 68 Type I error (FN): 420 488
Non-rejection Type II error (FP): 1 TP: 446 535
Total 69 866 935
Source: Author’s calculation
Table 4.4: Confusion matrix according to Z-Score model (1993)
Content Default Non-default Total
Rejection TN:51 Type I error (FN): 84 135
Non-rejection Type II error (FP): 18 TP: 782 800
Total 69 866 935
Source: Author’s calculation
• Evaluation of results achieved from the application of Z-score model:
+ Z-score model (1968): The number of type I errors was high which predicted
companies having the possibility of default but in reality, they did not. This means if
credit institutions and investors apply this model, many investment opportunities will
be missed. However, the number of type II error was considerably low which means
that if the model is used to eliminate risks, it can effectively operate.
+ Z-score model (1993): corporate default forecast rates were improved compare
with Z-score model (1968), especially the number of type I errors notably decreased.
* The application of market-based approach via KMV model is conducted and results are
used to compare with the reality. Results shown at Appendix 1: Results according to index
of Z-score, KMV and the reality
Table 4.5: Results aggregrated from KMV model
Entries of
surveyed
companies
Results of KMV model Results from reality
Default Non-default Default Non-default
935 91 844 69 866
Table 4.6: Confusion matrix according to KMV model
Content Default Default Total
Rejection TN: 60 Type I error (FN): 31 91
Non-rejection Type II error (FP): 9 TP: 835 844
Total 69 866 935
19
* Evaluation of results achieved from the application of KMV model: The model
predicted there were 835 non-default companies which is nine ones lower than the
reality – this is considered as relatively close with the reality.
4.2.2. Evaluation through testing results
* Correlation coefficient:
Table 5.7: Calculation of correlation coefficient
Content Z-Score (1968) Z-Score (1993) KMV
MCC 0,261 0.477 0,735
FNR ( type I error rate) 0,485 0.097 0,036
FPR (type II error rate) 0,015 0.26 0,13
Source: Author’s calculation
+ Results:
- MCC of Z-score (1968) was 0,261(lowest) while MCC of Z- Score (1993) was
higher being 0,477. This proved that the accuracy of Z- Score model (1993) was higher than
Z- Score model (1968) when being applied in Vietnamese firms. MCC of KMV index was
0,735 (highest) which means KMV model having the highest accuracy compared with the
two Z-score models.
- Type I error rate (FNR): Z-score index (1968) had type I error rate being 0,485 which
was relatively high. This showed that the model predicted defaults in many companies but in
reality, it did not happen. Notably, type II error rate was 0 which means the model correctly
predicted those companies having defaults. If Z-score model (1968) is applied, many good
enterprises for investment will be eliminated and not selected. This also demonstrates the
great impact of financial index including leverage coefficient on companies in developing
countries like Vietnam is more significant than those in developed nations. There were some
enterprises with Z-score index (1968) being relatively lower than standard still did not default
as data transparency and accounting methods could not illustrate the complete value of these
firms.
- Type II error rate (FPR): in KMV model, FNR was 0,015 which is l
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