Estimation of bank default probability

Investigation of the influence of various microeconomic financial and macroeconomic factors on the probability of a bank default. Analysis of the main reasons for revoking a banking license by the Central Bank of Russia using two binary choice models.

Рубрика Банковское, биржевое дело и страхование
Вид дипломная работа
Язык английский
Дата добавления 01.12.2019
Размер файла 513,8 K

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As for microeconomic financial indicators of bank performance, the rise of the both RONA and the share of highly liquid assets increases the bank financial stability and makes the default less probable to occur. As we proposed in the hypothesis H1 («The increase in the amount of bank net assets accounts negatively to the probability of default for both «money laundering» and «economic reasons» default probabilities»), the problem called «too big to fail» is clearly seen in our model. Thus, the first hypothesis is confirmed.

As for the indicators referred to the allocation of Bank's Assets, we are troubled to interpret the insignificance of the share of overdue debt to loans to individuals and the same indicator for legal entities at least at the level of 10 percent. As for the loans to individuals, we are also troubled to interpret the negative influence of increasing the volume of retail lending to the default probability, because usually retail lending is the most risky one. As for the loans to legal entities, the indicator is statistically significant (at least at 10 percent level) for the «money laundering» bank default. The crediting of enterprises and organizations usually is much less risky, than retail crediting. This fact explains the negative influence of increasing the volume of legal entities lending to the default probability. As we proposed in the hypothesis H2 («The increase in the amount of the interbank loans given accounts negatively to the probability of default for both «money laundering» and «economic reasons» default probabilities »), our model confirm a fact, the banks involve in crediting other banks are more stable and less predisposed to the bankruptcy. Thus, the second hypothesis is confirmed.

As for the indicators referred to the Investments, we are troubled to interpret the negative influence of investments to principal notes on the default probability. The rise of the investments in bonds makes the default less probable to occur. Usually bonds are associated with smaller risk and more safe way to absorb interests. This fact makes cash flows more predictable and decreases banks default probability. Contrary to what was proposed in the hypothesis H3 («Investments in shares indicator will be statistically significant both «money laundering» and «economic reasons» default probabilities at least at 10 percent of statistical significance»), the investments in shares indicator has statistical significance at least at 10 percent only in «money laundering» model. Probably, investments in shares increases the default probability for banks involved in «money laundering», because they execute operations with illiquid securities and this fact makes them an object of the supervisory authority close attention and thus increases the license revocation probability. Thus, the third hypothesis is denied.

As for the indicators, referred to the Banks Liabilities, the interbank loans gained indicator appears to be statistically insignificant. The rise of the deposits of individuals makes bank defaults more probable. We suppose that the explanation of this phenomenon is the fact, that very often depositors provoke chain reaction of deposits outflow from the bank. The banking history knows a lot of such incidents, when this process ends with the bank default. Funds of enterprises and organizations indicator is statistically significant only for the «money laundering bank default». The rise of funds of enterprises and organizations in the bank increases the default probability of banks, involved in money laundering. Probably those banks mainly operates with enterprises that are parts in capital outflow chains. An increase of those funds signifies more aggressive capital outflow and thereafter more close attention of supervisory authority. This fact increases the default probability. Bonds and principal notes indicator is statistically significant only for the «economic reasons bank default». The rise of bonds and principal notes among banks liabilities increases the default probability of banks, because bank borrowed capital is increased with bank own capital remained at the same level. This fact increases the default probability.

Here we will make a resume on the hypotheses confirmation. Confirmed hypotheses:

H1: The increase in the amount of bank net assets accounts negatively to the probability of default for both «money laundering» and «economic reasons» default probabilities.

H2: The increase in the amount of the interbank loans given accounts negatively to the probability of default for both «money laundering» and «economic reasons» default probabilities.

Denied hypotheses:

H3: Investments in shares indicator will be statistically significant both «money laundering» and «economic reasons» default probabilities at least at 10 percent of statistical significance.

Conclusion

This work is a demonstration of econometric theory implementation into the bank default probability estimation. Our work showed that the division of bank defaults on the basis of different license revocation reasons seems to be appropriate taking into account the possibilities of econometric modelling and statistical packages.

The first conclusion consists in the fact, that we can estimate the bank default probability estimation using publicly available accountings. Quite high predictive quality of the models suggest the viability of this approach.

The second conclusion consists in the fact that the change in the macroenvironment influences differently on the probability of default for different reasons of the default.

The third conclusion consists in the fact that varying time lags helps to forecast bank default. In addition it should be mentioned that different default reasons mean different time lags due to various contribution of factors in the probability of bank default.

Of course, there is a wide field for further researchers to deepen the study of this issue.

It may be deepen in sense of using advance econometric approaches, such as multinomial regression analysis or neuronets. Probably correct specification may lead us to the results that will outperform binary choice logit regression analysis.

Also further researches may involve new predictors in the analysis. Actually the most promising trends are found in the use of factor analysis, which allow to combine the set of factors into the smaller set or even one factor.

As another form of widening this research, it is possible to make binary choice modelling on the basis of premodelling clustering through underlying economic reasons or the use of data science approaches, for example cluster analysis.

At the end, we want to state, that our work is a necessary basis for the following works in this field, because it demonstrates the opportunity to make econometric regression analysis using publicly available information at present days. The debates on this issue are found promising and the relevance of bank default probability estimation is not in doubt.

References

1) Иванов В. В., Фёдорова Ю. И. (2015). Результаты моделирования вероятности наступления дефолта банка на примере российской банковской системы. Экономика и современный менеджмент: теория и практика, 6 (50), 6-20.

2) Карминский А. М., Костров А. В. (2014). Совершенствование моделей вероятности дефолта российских банков: использование рейтингов и панельных данных. XIV Апрельская международная научная конференция по проблемам развития экономики и общества: в 4-х книгах. Книга 1. М.: 538-546.

3) Пересецкий А. А. (2007). Методы оценки вероятности дефолта банков. Экономика и математические методы, 43 (3), 37-62.

4) Пересецкий А. А. (2013). Модели причин отзыва лицензий российских банков. Влияние неучтенных факторов. Прикладная эконометрика, 30 (2), 49-64.

5) Altman E. I. (1968). Financial ratios, discriminant analysis and the prediction of corporate bankruptcy. Journal of Finance, 23 (4), 589-609.

6) Altman E. I., Haldeman R., Narayanan P. (1977). Zeta analysis: A new model to identify bankruptcy risk of corporations. Journal of Banking and Finance, 1 (1), 29-54.

7) Bondarenko M. V., Maria Semenova M. V. (2018). Do high deposit interest rates signal bank default? Evidence from the Russian retail deposit market. Financial Economics, WP BRP 65/FE/2018, 1-28.

8) Bovenzi J. F., Marino J. A., McFadden F. E. (1983). Commercial bank failure prediction models. Economic Review, 68, 14-26.

9) Cole R. A., Gunther J. W. (1995). Separating the likelihood and timing of bank failure. Journal of Banking and Finance, 19 (6), 1073-1089.

10) Cole R. A., Gunther J. W. (1998). Predicting bank failures: A comparison of on- and off-site monitoring systems. Journal of Financial Services Research, 13 (2), 103-117.

11) Estrella A., Park S., Peristiani S. (2000). Capital ratios as predictors of bank failure. FRBNY Economic Policy Review, 6 (2), 33-52.

12) Godlewski C. J. (2007). Are ratings consistent with default probabilities? Empirical evidence on banks in emerging market economies. Emerging Markets Finance and Trade, 43 (4), 5-23.

13) Izan H. Y. (1984). Corporate distress in Australia. Journal of Banking and Finance, 8 (2), 303-320.

14) Jagtiani J., Kolari J., Lemieux C., Shin H. (2003). Early warning models for bank supervision: Simpler could be better. Economic Perspectives, 27 (3), 49-60.

15) Kavussanos M. G., Tsouknidis D. A. (2016). Default risk drivers in shipping bank loans. Transportation Research Part E: Logistics and Transportation Review, 94 (C), 71-94.

16) Kolari J., Glennon D., Shin H., Caputo M. (2002). Predicting large US commercial bank failures. Journal of Economics and Business, 54 (4), 361-387.

17) Lennox C. (1999). Identifying failing companies: a reevaluation of the logit, probit and DA approaches. Journal of Economics and Business, 51 (4), 347-364.

18) Martin D. (1977). Early warning of bank failure: A logit regression approach. Journal of Banking and Finance, 1 (3), 249-276.

19) Ohlson J. A. (1980). Financial ratios and the probabilistic prediction of bankruptcy. Journal of Accounting Research, 18 (1), 109-131.

20) Peresetsky A. A., Karminsky A. M., Golovan S. V. (2004). Probability of default models of Russian banks. Competitiveness and modernization of economy, 1, 407-417.

21) Peresetsky A. A., Karminsky A. M., Golovan S. V. (2011). Probability of default models of Russian banks. Economic Change and Restructuring, 44 (4), 297-334.

22) Raffaella Calabrese & Paolo Giudici (2015). Estimating bank default with generalised extreme value regression models. Journal of the Operational Research Society, 66 (11), 1783-1792.

23) Scott J. (1981). The probability of bankruptcy: A comparison of empirical predictions and theoretical models. Journal of Banking and Finance, 5 (3), 317-344.

24) Westgaards S., Wijst van der N. (2001). Default probabilities in a corporate bank portfolio: a logistic model approach. European Journal of Operational Research, 135, 338-349.

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Abstract

The object of this paper is to investigate the influence of both different microeconomic financial and macroeconomic factors on the bank default probability. Moreover, we differentiated the different reasons for recalling the banking license by Russian Central Bank through two binary choice models. The data stands for five years of Russian banking sector development: from the first quarter of 2014 to the fourth quarter of 2018. The contribution of our work to the bank default probability estimation can be described in two points. Firstly, we use the combination of factors, which differs from combinations of factors in other works. Secondly, we use two simultaneous binary choice models differentiating various reasons of default. This issue is rarely seen in such researches, because other papers most commonly ignore differing the reasons of recalling the license.

Целью данной работы является исследование влияния как различных микроэкономических финансовых, так и макроэкономических факторов на вероятность дефолта банка. Более того, мы дифференцировали различные причины отзыва банковской лицензии Центральным Банком России с помощью двух моделей бинарного выбора. Данные представлены за пять лет развития банковского сектора России: с первого квартала 2014 года по четвертый квартал 2018 года. Вклад нашей работы в оценку вероятности дефолта банка можно описать в двух пунктах. Во-первых, мы используем комбинацию факторов, которая отличается от комбинации факторов в других работах. Во-вторых, мы используем одновременно две модели бинарного выбора, дифференцирующие различные причины дефолта. Данный аспект редко встречается в подобных исследованиях, поскольку другие статьи чаще всего игнорируют разделение причин отзыва лицензии.

Appendix

Dataset for license revocation with wording «economic reasons». Histograms

Table 1 RONA

Table 2 Natural logarithm of Net Assets

Table 3 Highly Liquid Assets to Net Assets

Table 4 Loans to Individuals to Net Assets

Table 5 Overdue Debt to Loans to Individuals to Net Assets

Table 6 Interbank Loans Given to Net Assets

Table 7 Loans to Enterprises and Organisations to Net Assets

Table 8 Overdue Debt to Loans to Enterprises and Organisations to Net Assets

Table 9 Investments in Shares to Net Assets

Table 10 Investments in Bonds to Net Assets

Table 11 Investments in Principal Notes to Net Assets

Table 12 Deposits of Individuals to Net Assets

Table 13 Funds of Enterprises and Organisations to Net Assets

Table 14 Interbank Loans Gained to Net Assets

Table 15 Bonds and Principal Notes to Net Assets

Dataset for license revocation with wording «money laundering». Histograms

Table 1 RONA

Table 2 Natural logarithm of Net Assets

Table 3 Highly Liquid Assets to Net Assets

Table 4 Loans to Individuals to Net Assets

Table 5 Overdue Debt to Loans to Individuals to Net Assets

Table 6 Interbank Loans Given to Net Assets

Table 7 Loans to Enterprises and Organisations to Net Assets

Table 8 Overdue Debt to Loans to Enterprises and Organisations to Net Assets

Table 9 Investments in Shares to Net Assets

Table 10 Investments in Bonds to Net Assets

Table 11 Investments in Principal Notes to Net Assets

Table 12 Deposits of Individuals to Net Assets

Table 13 Funds of Enterprises and Organisations to Net Assets

Table 14 Interbank Loans Gained to Net Assets

Table 15 Bonds and Principal Notes to Net Assets

Dataset for license revocation with wording «economic reasons». Descriptive statistics

Table 1 Macroeconomic variables

Change in GDP

Deflator Index

Key Interest Rate of Central Bank

The Exchange Rate of the Ruble to the US Dollar

Mean

2,144570

106,9141

9,650590

54,72913

Median

6,924986

107,4000

9,750000

57,65000

Maximum

11,72334

114,2067

17,00000

72,92990

Minimum

-16,64006

102,5000

5,500000

32,65870

Std. Dev.

10,08277

2,627834

2,773650

12,13142

Skewness

-1,010060

0,500564

0,975541

-0,715524

Kurtosis

2,182010

3,362723

3,790236

2,238238

Jarque-Bera

2449,809

584,7711

2285,387

1355,484

Probability

0,000000

0,000000

0,000000

0,000000

Sum

26545,49

1323382,

119455,0

677437,2

Sum Sq. Dev.

1258273,

85469,53

95217,93

1821539,

Observations

12378

12378

12378

12378

Table 2 Microeconomic financial variables

RONA

Natural Logarithm of Net Assets

Highly Liquid Assets to Net Assets

Mean

0,764635

15,63178

16,38441

Median

0,800000

15,36613

10,94000

Maximum

763,1400

23,99718

99,97000

Minimum

-207,2400

7,602401

0,010000

Std. Dev.

9,901205

1,996606

17,04378

Skewness

35,89458

0,526328

2,693744

Kurtosis

2925,151

4,118093

11,42321

Jarque-Bera

4,35E+09

1203,083

51004,18

Probability

0,000000

0,000000

0,000000

Sum

9351,486

191395,6

200610,7

Sum Sq. Dev.

1198856,

48805,92

3556475,

Observations

12230

12244

12244

Table 3 «Assets» variables group

Loans to Individuals to Net Assets

Overdue Debt to Loans to Individuals

Interbank Loans Given to Net Assets

Loans to Enterprises and Organizations to Net Assets

Overdue Debt to Loans to Enterprises and Organizations

Mean

13,23973

9,862268

13,43664

34,93628

7,548095

Median

8,100000

4,960000

6,930000

35,07000

3,080000

Maximum

96,14000

100,0000

95,97000

96,81000

100,0000

Minimum

0,000000

0,000000

0,000000

0,000000

0,000000

Std. Dev.

16,01238

14,46946

16,90364

21,49491

14,67679

Skewness

2,242526

3,135989

1,791836

0,142943

4,142897

Kurtosis

8,816704

15,42895

6,320609

2,285124

22,32777

Jarque-Bera

27523,36

98878,71

12177,25

302,4161

225604,4

Probability

0,000000

0,000000

0,000000

0,000000

0,000000

Sum

162107,2

120753,6

164518,3

427759,8

92418,88

Sum Sq. Dev.

3139059,

2563259,

3498229,

5656646,

2637244,

Observations

12244

12244

12244

12244

12244

Table 4 «Investments» variables group

Investments in Shares to Net Assets

Investments in Bonds to Net Assets

Investments in Promissory Notes to Net Assets

Mean

0,601097

8,863382

0,959257

Median

0,000000

1,870000

0,000000

Maximum

49,29000

96,08000

73,41000

Minimum

0,000000

0,000000

0,000000

Std. Dev.

2,315475

13,38379

3,504151

Skewness

7,699469

2,010275

7,397390

Kurtosis

91,67743

7,365847

83,40866

Jarque-Bera

4132765,

17970,85

3410178,

Probability

0,000000

0,000000

0,000000

Sum

7359,827

108523,2

11745,14

Sum Sq. Dev.

65639,91

2193039,

150332,7

Observations

12244

12244

12244

Table 5 «Liabilities» variables group

Deposits of Individuals to Liabilities

Funds of Enterprises and Organizations to Liabilities

Interbank Loans Gained to Liabilities

Bonds and Promissory Notes Issued to Liabilities

Mean

30,54313

27,73794

6,294725

1,878194

Median

30,49500

24,51500

0,000000

0,010000

Maximum

86,26000

96,91000

102,9800

65,42000

Minimum

0,000000

0,000000

0,000000

0,000000

Std. Dev.

22,96919

17,70197

12,92900

4,874038

Skewness

0,132618

0,854309

3,051145

5,124744

Kurtosis

1,787781

3,545393

13,69426

38,35332

Jarque-Bera

785,5681

1641,118

77343,88

691229,5

Probability

0,000000

0,000000

0,000000

0,000000

Sum

373970,1

339623,4

77072,61

22996,61

Sum Sq. Dev.

6459208,

3836462,

2046527,

290847,8

Observations

12244

12244

12244

12244

Dataset for license revocation with wording «money laundering». Descriptive statistics

Table 1 Macroeconomic variables

Change in GDP

Deflator Index

Key Interest Rate of Central Bank

The Exchange Rate of the Ruble to the US Dollar

Mean

2,139364

106,9238

9,643049

54,69138

Median

6,924986

107,4000

9,750000

57,65000

Maximum

11,72334

114,2067

17,00000

72,92990

Minimum

-16,64006

102,5000

5,500000

32,65870

Std. Dev.

10,09326

2,631550

2,775670

12,12900

Skewness

-1,006481

0,503942

0,979623

-0,712392

Kurtosis

2,173988

3,367997

3,792727

2,234652

Jarque-Bera

2427,717

590,3530

2290,673

1341,343

Probability

0,000000

0,000000

0,000000

0,000000

Sum

26329,15

1315911,

118677,0

673086,8

Sum Sq. Dev.

1253661,

85219,71

94809,66

1810368,

Observations

12307

12307

12307

12307

Table 2 Microeconomic financial variables

RONA

Natural Logarithm of Net Assets

Highly Liquid Assets to Net Assets

Mean

0,821446

15,62889

16,48204

Median

0,810000

15,36168

11,00000

Maximum

763,1400

23,99718

99,97000

Minimum

-207,2400

7,602401

0,010000

Std. Dev.

9,821340

1,999839

17,13602

Skewness

36,92685

0,529414

2,682217

Kurtosis

3032,790

4,103484

11,31527

Jarque-Bera

4,66E+09

1188,887

49776,46

Probability

0,000000

0,000000

0,000000

Sum

10010,14

190672,5

201080,9

Sum Sq. Dev.

1175349,

48788,13

3582151,

Observations

12186

12200

12200

Table 3 «Assets» variables group

Loans to Individuals to Net Assets

Overdue Debt to Loans to Individuals

Interbank Loans Given to Net Assets

Loans to Enterprises and Organizations to Net Assets

Overdue Debt to Loans to Enterprises and Organizations

Mean

13,26056

9,845455

13,49197

34,79625

7,552376

Median

8,120000

4,960000

6,990000

34,91500

3,080000

Maximum

96,14000

100,0000

95,97000

94,82000

100,0000

Minimum

0,000000

0,000000

0,000000

0,000000

0,000000

Std. Dev.

16,02242

14,38487

16,91650

21,39848

14,70517

Skewness

2,240721

3,117114

1,786010

0,139167

4,146011

Kurtosis

8,807880

15,31007

6,298845

2,278386

22,32692

Jarque-Bera

27355,85

96788,34

12017,87

304,0836

224829,5

Probability

0,000000

0,000000

0,000000

0,000000

0,000000

Sum

161778,8

120114,6

164602,0

424514,3

92138,99

Sum Sq. Dev.

3131702,

2524271,

3490963,

5585862,

2637937,

Observations

12200

12200

12200

12200

12200

Table 4 «Investments» variables group

Investments in Shares to Net Assets

Investments in Bonds to Net Assets

Investments in Promissory Notes to Net Assets

Mean

0,604814

8,869327

0,953890

Median

0,000000

1,885000

0,000000

Maximum

49,29000

87,61000

73,41000

Minimum

0,000000

0,000000

0,000000

Std. Dev.

2,346990

13,36650

3,503724

Skewness

7,746757

1,993521

7,487502

Kurtosis

91,66747

7,231623

85,01734

Jarque-Bera

4118501,

17183,26

3533473,

Probability

0,000000

0,000000

0,000000

Sum

7378,737

108205,8

11637,46

Sum Sq. Dev.

67196,49

2179515,

149755,9

Observations

12200

12200

12200

Table 5 «Liabilities» variables group

Deposits of Individuals to Liabilities

Funds of Enterprises and Organizations to Liabilities

Interbank Loans Gained to Liabilities

Bonds and Promissory Notes Issued to Liabilities

Mean

30,44075

27,84022

6,297652

1,870832

Median

30,38500

24,63000

0,000000

0,010000

Maximum

86,26000

96,91000

102,9800

65,42000

Minimum

0,000000

0,000000

0,000000

0,000000

Std. Dev.

22,93442

17,71881

12,94308

4,870367

Skewness

0,136748

0,850284

3,050998

5,143042

Kurtosis

1,789798

3,538992

13,68528

38,57068

Jarque-Bera

782,5228

1617,742

76966,52

696964,2

Probability

0,000000

0,000000

0,000000

0,000000

Sum

371377,1

339650,7

76831,35

22824,16

Sum Sq. Dev.

6416522,

3829954,

2043617,

289366,1

Observations

12200

12200

12200

12200

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