- •University of applied sciences bfi vienna
- •Relationship between liquidity ratios and profitability in Russian banks using regression analysis
- •Table of contents
- •Abstract
- •Introduction
- •Methodology
- •Assumptions
- •Basic definitions
- •Liquidity risk
- •Liquidity risk management
- •Liquidity ratios
- •Profitability ratios
- •Regression analysis
- •Setting up the model
- •Interpret the results - the final step involves interpreting results, which vary based on the testing and analysis that will be performed.
- •Literature
Liquidity ratios
quick liquidity ratio = high liquid assets (1 day)/ liabilities without term
current liquidity ratio = liquid assets (30 days) / current liabilities (30 days)
long-term liquidity ratio = credits with maturity date > 1 year / equity and liabilities with maturity date > 1 year
According to Instruction of Central Bank of Russia №139-I «About required standards», 03.12.2012 banks are required to have minimum or maximum level for liquidity ratios:
H2 quick liquidity ratio = min 15%
H3 current liquidity ratio = min 50%
H4 long-term liquidity ratio = max 120%
Profitability ratios
Return on equity (ROE) = Net income/total equity
ROE equals net income divided by average total stockholders’ equity and measures the percentage return on each dollar of stockholders’ equity. It is the aggregate return to stockholders before paying cash dividends.
Return on assets (ROA) = Net income/total assets
ROA equals net income divided by average total assets and thus measures net income per dollar of average assets owned during the period.
Regression analysis
In statistical modeling, regression analysis is a statistical process for estimating the relationships among variables. It includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables (or 'predictors'). More specifically, regression analysis helps one understand how the typical value of the dependent variable (or 'criterion variable') changes when any one of the independent variables is varied, while the other independent variables are held fixed. Most commonly, regression analysis estimates the conditional expectation of the dependent variable given the independent variables – that is, the average value of the dependent variable when the independent variables are fixed. Less commonly, the focus is on a quantile, or other location parameter of the conditional distribution of the dependent variable given the independent variables. In all cases, the estimation target is a function of the independent variables called the regression function. In regression analysis, it is also of interest to characterize the variation of the dependent variable around the regression function which can be described by a probability distribution. The performance of regression analysis methods in practice depends on the form of the data generating process, and how it relates to the regression approach being used. Since the true form of the data-generating process is generally not known, regression analysis often depends to some extent on making assumptions about this process. These assumptions are sometimes testable if a sufficient quantity of data is available [3, p.27].
Setting up the model
The first step in running regression analysis in Excel is verifying that the software has the capabilities to perform the calculations.
Gather and upload data - gather all the requisite data needed to perform the calculations. All information will be gathered from the website of Central Bank of Russian Federation: https://www.cbr.ru/credit/transparent.asp
Banks |
quick liquidity ratio,% |
current liquidity ratio,% |
long term liquidity ratio,% |
ROE,% |
after tax profit |
equity |
Sberbank |
110 |
151 |
165 |
10,15 |
236256 |
2328156 |
VTB |
61 |
99 |
58 |
3,79 |
48580 |
1282028 |
Gazprombank |
50 |
151 |
52 |
-8,33 |
-34365 |
412370 |
VTB 24 |
84 |
118 |
78 |
0,26 |
461 |
179100 |
Otkritie |
274 |
113 |
79 |
1,83 |
2303 |
126034 |
Rosselhoz |
148 |
285 |
67 |
-29,61 |
-69207 |
233712 |
Alphabank |
132 |
162 |
54 |
21,89 |
49591 |
226554 |
Table 1: Data on 01.01.2016, million rubles
Run the regression - after uploading data go to the data tab and select Data Analysis to bring up the Data Analysis ToolPak. Select Regression in the list of options for analysis tools, and click OK. Use the Regression tool to input your X and Y ranges for the data sets. Select and output the range for the results of the regression. Depending on the options you select using the regression tool, there are multiple tables of output, and potentially charts as well. The resulting output is the regression analysis;
SUMMARY OUTPUT
Регрессионная статистика |
|
Множественный R |
0,69292231 |
R-квадрат |
0,48014133 |
Нормированный R-квадрат |
-0,0397173 |
Стандартная ошибка |
16,368749 |
Наблюдения |
7 |
Дисперсионный анализ |
|||||
|
df |
SS |
MS |
F |
Значимость F |
Регрессия |
3 |
742,3967 |
247,4655656 |
0,9236 |
0,525278194 |
Остаток |
3 |
803,8078 |
267,9359442 |
|
|
Итого |
6 |
1546,205 |
|
|
|
|
Коэффициенты |
Стандартная ошибка |
t-статистика |
P-Значение |
Нижние 95% |
Верхние 95% |
Нижние 95,0% |
Верхние 95,0% |
Y-пересечение |
19,6646 |
24,1387 |
0,8147 |
0,4749 |
-57,155 |
96,4847 |
-57,155 |
96,4847 |
quick liquidity ratio |
0,0064 |
0,0890 |
0,0723 |
0,9469 |
-0,2768 |
0,2897 |
-0,2768 |
0,2897 |
current liquidity ratio |
-0,1704 |
0,1079 |
-1,5794 |
0,2124 |
-0,5137 |
0,1730 |
-0,5137 |
0,1730 |
long term liquidity ratio |
0,0735 |
0,1704 |
0,4312 |
0,6955 |
-0,4690 |
0,6159 |
-0,4690 |
0,6159 |
