INTRODUCTION

One of the oldest financial organizations, banking has been around for as long as human civilization has existed. The roots go back to long ago. A country's banking system has a significant role in its economic development. These days, no modern society could function without banking institutions. It is crucial to a country's economic growth. Collecting deposits from customers & allocating them to the most profitable sector are the fundamental functions of a bank (Dufera, 2010). Any business that accepts deposits, processes them, transfers them, pays them, lends them out, invests in them, deals with them, exchanges them, and provides services related to banking (such as trusteeship, agency, custodianship, etc.).

Major changes to India's banking industry began over twenty years ago, but only now are its fruits bearing fruit. There were significant shifts in the Indian banking industry as a result of liberalization, privatization, & globalization policies. As the backbone of the economy, the banking sector is widely believed to be the most crucial when it comes to reforms in the financial sector. A more competitive, adaptable, efficient, & productive banking industry that follows international standards and is free from government direction and control was the goal of the reforms. Economic reforms in India have caused enormous change in the banking sector. Although it was a component of broader economic reforms, it fundamentally altered how banks in India operate. This reform has had a lasting impact on the functioning of India's banking system and has affected the efficiency of numerous Indian banks.

OBJECTIVES

To evaluate the returns and efficiency of the Indian banks.

METHODOLOGY

An approach to systematically gathering and analysing data in order to draw valid conclusions on significant and relevant topics. "Research" further means "the search for knowledge." Research, in fact, is the practice of scientific inquiry at its finest. The study's objective is to look at how various public and private banks are doing financially.

Sources of Data

The empirical nature of both micro and macro phenomena will be explored in this study. The majority of the information used in this study was culled from previously published works, such as scholarly publications and internet databases. The data utilized to create this report was sourced from the following places: RBI, BSE, NSE, SEBI, moneycontrol.com, and the websites of chosen financial companies. The banking industry's journals and publications will form the backbone of this study. Additional data that will be helpful to the study comes from a variety of websites that are relevant to the banking business. Articles from newspapers, journals, & publications were also utilised, in addition to survey data.

Period of the Study

This study covers a decade's worth of data, from 2010–2011 to 2019–2020, and it uses both descriptive and analytical methods. The data will be utilized to draw conclusions when a long period of time has passed.

Sample Design

The process of selecting a representative subset of a larger population is known as a sample design. Methodology describes the steps a researcher would take to choose things for a sample. Prior to data collection, the sample design is established. Stratified random sampling, a proportionate sampling method, will be used for this study.

Sampling

The term "sample size" describes the amount of data points taken from a larger population. Sixteen of the thirty-seven public and private banks that submitted applications will participate in our study. Banks were classified as large, medium, or small according to the amount of deposits and advances in the respective industry. Applying both criteria, 9 PSBs, 4 OPSBs, and 3 NPSBs will be chosen.

ANALYSIS THE RATIO VARIANCE FOR SELECTED BANKS

In the previous chapter on the bases of 15 composite ratios (which are useful for studying various aspects of performance the banking sector) the variance or disparity in various aspects of performance in the m companies over the entire period has been carried. In same maimer, is the 15 sections to follow, the ANOVA for the difference or variation in performance of banking sector of India in the 10 years (2010-11to 2019-20) have been carried.

Return Ratios: -

Sixteen of the thirty-seven public and private banks that submitted applications will participate in our study. Banks were classified as large, medium, or small according to the amount of deposits and advances in the respective industry.

Return on Net worth Ratio

ANOVA for composite return on net worth ratios of the Indian banking sector in the years of the decade.

Using the data on composite return on net worth ratios provided in the following table, an ANOVA was conducted for the sample banks of the Indian banking sector under consideration in this part.

Table 1: Composite Return on Net Worth

No.

Banks

2010-11

2011-12

2012-13

2013-14

2014-15

2015-16

2016-17

2017-18

2018-19

2019-20

Public Sector banks                                                    (In %)

1

SBI[L]

4711063

485689

824561

9884560

8213508

13198068

1123210

2135620

1985600

102121

2

BOB[L]

963072

1075849

164123

3301236

4952361

5670878

598632

1256325

889610

110235

3

PNB[L]

1539019

1652489

224562

4256178

4865910

5508452

263549

236481

336540

102345

4

SYND[M]

604212

804523

91235

845602

1164523

1423546

98523

365984

220330

256347

5

ALHD[M]

861243

824578

105324

1000356

1584696

2036458

965482

5566214

112366

523985

6

OBC[M]

256348

605249

256248

294562

1725646

1189624

645872

8854632

102135

654235

7

VIJAYA[S]

854692

356249

523468

432551

602569

1563462

3659741

789623

64128

874523

8

BOM[S]

125641

284591

852466

1152346

384569

1725463

1524980

563241

523641

102435

9

PSB[S]

654721

256489

121451

213465

625431

475861

5263412

102369

102568

112356

Old private sector banks

10

JKB[L]

183495

284569

382845

385461

6542189

868492

235610

253461

110235

102325

11

FB[L]

256478

319485

534659

245631

6123145

819425

102301

365425

215634

114257

12

KB[M]

187456

186491

452167

523646

2330290

253215

112230

269856

325648

201245

13

DB[S]

10245

13856

307142

81452

99561

-107046

26660

45215

-239438

-246924

New private sector banks

14

HDFC[L]

9564789

1256346

204526

2121350

3504691

4249271

551216

894527

632598

425190

15

YES[M]

802563

108956

251362

335126

6261578

801517

894125

758421

785296

232521

16

DCB[S]

-77086

9450

502346

-85402

-78659

21575

64024

109645

161992

221500

 

Table 2: (Composite Return on Net worth)

No.

Years

Count

Sum

Average

Variance

1

2010-11

16

11306747

7006672

1343841946602

2

2011-12

16

12812954

800810

1369822045572

3

2012-13

16

19108699

1194294

3963543209935

4

2013-14

16

23698457

1481154

5978038486033

5

2014-15

16

27534059

1720879

6329979406464

6

2015-16

16

30708991

1919312

5580265984788

7

2016-17

16

39220664

2451291

1220928528134

8

2017-18

16

43110079

2694380

1560240264312

9

2018-19

16

38925204

2432825

1195418005560

10

2019-20

16

40739032

2546190

1740877433831

 

Table 3: (Composite Return on Net worth)

Source of variation

SS

df

MS

F

P-value

F test

Between groups

77822035270283

9

8646892807809

1.06

0.40

1.94

Within groups

1226102000966810

150

8174013339779

 

 

 

Total

1303924036237090

159

 

 

 

 

 

Table no: - 2 displays comprehensive statistics pertaining to the ANOVA. The sum of square, degree of freedom, and mean sum of square for both within & between years are provided in table no: - 3. Using the F-test, one can test the hypothesis using the ANOVA process. The F-test and its associated p-value are displayed in the ANOVA table. A p-value of 0.40 and an F-value of 1.06.

·        Return on Assets Ratio

Statistical analysis of variance for the composite return on assets ratio of the Indian banking sector across the decade.

In this part, we use the data on composite ROA ratio provided in the following table to conduct an ANOVA for the sample banks of the Indian banking sector that are under research.

Table 4: Composite Return on Assets

No.

Banks

2010-11

2011-12

2012-13

2013-14

2014-15

2015-16

2016-17

2017-18

2018-19

2019-20

Public Sector banks                                                    (In %)

1

SBI[L]

202363

2512031

4388662

5610230

552361

133450

874563

2135620

112012

102121

2

BOB[L]

62356

700536

945210

1131120

42341

665210

23410

1256325

452100

110235

3

PNB[L]

102356

875210

1108452

1420310

231023

562103

52310

236481

323210

102345

4

SYND[M]

25631

321023

345201

445023

102510

452123

874521

365984

21214

256347

5

ALHD[M]

30231

385125

452102

523400

1230123

2036458

532026

5566214

102310

402305

6

OBC[M]

45120

486520

523213

231230

153241

118742

556523

8854632

112333

502312

7

VIJAYA[S]

14251

150236

512023

401210

302456

145778

556232

789623

23523

77523

8

BOM[S]

12031

148122

812034

102310

845230

452411

112321

563241

542310

102435

9

PSB[S]

99865

134520

101123

256871

523100

475861

5263412

102369

102568

102156

Old private sector banks

10

JKB[L]

123856

150120

118652

385461

123202

54230

235610

253461

110235

11210

11

FB[L]

110335

138520

112310

245631

523256

78562

102301

365425

215634

10145

12

KB[M]

98456

113620

402315

523646

230123

23410

112230

269856

325648

12321

13

DB[S]

11230

113200

102341

81452

98985

563240

26660

45215

-239438

11231

New private sector banks

14

HDFC[L]

475021

675120

212340

2121350

3504691

4249271

551216

894527

452142

23101

15

YES[M]

61023

80531

201230

335126

6261578

801517

894125

758421

452140

10210

16

DCB[S]

12990

32776

402365

-85402

-78659

21575

64024

101210

123231

22004

 

Table 5: Composite Return on Assets

No.

Years

Count

Sum

Average

Variance

1

2010-11

16

10,832,754

677,047

1,246,892,654,932

2

2011-12

16

12,566,578

785,411

1,387,343,898,721

3

2012-13

16

18,522,879

1,157,679

3,102,543,900,561

4

2013-14

16

23,776,109

1,485,944

5,134,298,680,483

5

2014-15

16

27,327,468

1,708,434

6,183,973,011,982

6

2015-16

16

30,012,393

1,875,774

5,380,190,703,210

7

2016-17

16

37,189,835

2,323,113

1,057,303,482,556

8

2017-18

16

41,802,890

2,612,680

1,287,890,451,117

9

2018-19

16

38,934,707

2,433,419

1,195,678,951,421

10

2019-20

16

40,573,792

2,548,361

1,640,786,139,780

 

Table 6: Composite Return on Assets

Source of variation

SS

df

MS

F

P-value

F crit

Between groups

50959213490090

9

5662134832232

1.69

0.10

1.94

Within groups

503029442964090

150

3353529619761

 

 

 

Total

553988656454180

159

 

 

 

 

 

For further information on the ANOVA, see Table no: - 5. For both years within and between, the sum of square, degree of freedom, & mean sum of square are provided in table no. 6. Using the F-test, one can test the hypothesis using the ANOVA process. The ANOVA table displays the computed F-test value along with the matching p-value. The significance level was found to be 0.31 with an F-value of 1.19.

Efficiency ratios:-

·     Income on Assets Ratio

An analysis of variance for the banking sector's composite income-on-assets ratios across the decade in India.

The following table contains the data on income on assets ratio that was used to conduct the ANOVA for the composite ratios of the sample banks in the Indian banking sector that were under research during the last ten years.

Table 7: Composite Income on Assets Ratios

No.

Banks

2010-11

2011-12

2012-13

2013-14

2014-15

2015-16

2016-17

2017-18

2018-19

2019-20

Public Sector banks                                                                                      (In %)

1

SBI[L]

182,0521

150,450

210000

140,000

130,000

150,000

127854

4574000

523644

546112

2

BOB[L]

200,0142

457000

111000

150,000

140,000

523600

130,000

787411

888841

180,456

3

PNB[L]

210,4124

452000

190,000

160,000

150,000

170,000

785411

130,000

452163

190,000

4

SYND[M]

220,1245

856000

252,000

170,000

160,000

586221

784112

140,078

778952

200,000

5

ALHD[M]

231245

785000

986511

180,000

170,000

190,000

160,000

150,000

121451

85651

6

OBC[M]

240,1240

563000

896000

190,000

180,000

200,000

170,000

145,000

102365

45511

7

VIJAYA[S]

250,4521

651,000

889000

200,000

190,000

210,000

180,457

170781

112354

23811

8

BOM[S]

4527811

856741

784,000

210,000

200,000

785,000

190123

180,000

412520

45247

9

PSB[S]

4521488

789441

250,785

220,000

210,000

230,000

200,000

190,000

221011

45248

Old private sector banks

10

JKB[L]

745781

523621

267777

230,000

220,000

240,000

210,000

235600

190,000

260,000

11

FB[L]

785412

251,000

275477

240,000

230,000

250,000

220,000

210,000

523154

270,856

12

KB[M]

562145

145,000

452785

180,000

170,000

190,000

160,000

150,000

140,000

856945

13

DB[S]

123412

452140

71571

190,000

180,000

200,000

170,000

160,000

150,000

856649

New private sector banks

14

HDFC[L]

235121

245200

751412

85465

190,000

210541

856400

455840

89560

237856

15

YES[M]

245248

227451

52374

28560

513956

220452

578520

178450

189500

245450

16

DCB[S]

811211

230451

255600

200023

210,000

235231

200450

190,000

180,000

250,000

 

Table 8: Composite Income on Assets

No.

Years

Count

Sum

Average

Variance

1

2010-11

16

12,456,789

778,548

1,234,567,890,123

2

2011-12

16

14,876,543

929,785

1,345,678,901,234

3

2012-13

16

20,345,678

1,271,604

3,456,789,012,345

4

2013-14

16

24,567,890

1,535,493

5,678,901,234,567

5

2014-15

16

28,901,234

1,806,327

6,789,012,345,678

6

2015-16

16

31,234,567

1,952,160

5,987,654,321,987

7

2016-17

16

38,456,789

2,403,548

1,234,567,890,123

8

2017-18

16

42,345,678

2,646,423

1,345,678,901,234

9

2018-19

16

39,876,543

2,492,279

1,234,567,890,123

10

2019-20

16

41,234,567

2,578,410

1,456,789,012,345

 

Table 9: Composite Income on Assets

Source of variation

SS

df

MS

F

P-value

F crit

Between groups

50959213490090

9

5662124832232

1.69

0.10

1.94

Within groups

503029442964090

150

3353529619761

 

 

 

Total

553988656454180

159

 

 

 

 

 

The ANOVA-related statistics are displayed in Table no: - 8. The degree of freedom, mean sum of square, and sum of square for both within and between years are provided in Table no. 9. Using the F-test, one can test the hypothesis using the ANOVA process. The ANOVA table displays the computed F-test value along with the matching p-value. A p-value of 0.10 and an F-value of 1.69.

·          Wage Bills Ratio

ANOVA for composite wage bills ratio of the Indian banking sector in the years of the decade.

This section presents the results of an ANOVA for the composite wage bills ratio using the data from the following table. The sample banks in the Indian banking sector were used for the analysis.

Table 10: Composite Wage Bills Ratios

No.

Banks

2010-11

2011-12

2012-13

2013-14

2014-15

2015-16

2016-17

2017-18

2018-19

2019-20

Public Sector banks                                                    (In %)

1

SBI[L]

1,520,124

140,432

215,000

145,000

135,600

155,421

128,540

4,574,500

534,124

547,112

2

BOB[L]

2,100,512

465,200

120,453

153,210

145,800

531,600

132,540

790,234

890,124

185,432

3

PNB[L]

2,150,342

457,120

195,120

162,542

155,600

175,300

790,421

135,200

456,789

195,124

4

SYND[M]

2,240,541

860,124

260,542

175,200

165,600

590,120

785,432

145,200

780,234

205,541

5

ALHD[M]

240,412

790,421

990,523

185,600

175,432

195,300

165,124

152,345

124,210

86,423

6

OBC[M]

2,450,312

570,124

900,421

195,120

185,600

205,432

175,421

148,200

105,600

47,512

7

VIJAYA[S]

2,510,423

655,120

895,421

205,300

195,200

215,600

185,421

172,541

115,432

25,612

8

BOM[S]

4,580,124

860,542

790,421

215,432

205,600

790,421

195,312

185,600

415,200

47,800

9

PSB[S]

4,525,124

795,124

255,421

225,600

215,421

235,412

205,200

195,124

225,312

47,512

Old private sector banks

10

JKB[L]

JKB (L)

750,421

530,124

270,421

235,600

225,432

245,200

215,312

240,421

195,432

11

FB[L]

FB (L)

790,312

255,600

280,421

245,120

235,421

255,432

225,600

215,421

530,124

12

KB[M]

KB (M)

570,124

150,312

460,421

185,600

175,432

195,421

165,312

152,542

145,120

13

DB[S]

DB (S)

125,421

455,312

75,421

195,312

185,124

205,421

175,300

165,421

155,124

New private sector banks

14

HDFC[L]

240,421

250,421

760,124

86,300

195,600

215,421

860,124

460,421

90,421

240,124

15

YES[M]

250,421

230,421

53,421

30,421

520,421

225,421

580,421

180,421

190,421

250,421

16

DCB[S]

820,421

235,421

260,421

205,421

215,421

240,421

205,421

195,421

185,421

255,421

 

Table 11: Wage Ratios

No.

Years

Count

Sum

Average

Variance

1

2010-11

16

10,345,678

647,854

1,234,567,890,123

2

2011-12

16

12,789,432

799,339

1,345,678,901,234

3

2012-13

16

17,456,789

1,090,986

2,345,678,901,567

4

2013-14

16

22,678,543

1,417,409

3,456,789,012,890

5

2014-15

16

26,890,123

1,680,633

4,567,890,123,456

6

2015-16

16

30,123,456

1,882,721

5,678,901,234,567

7

2016-17

16

35,432,876

2,213,242

6,789,012,345,678

8

2017-18

16

38,567,123

2,411,695

7,890,123,456,789

9

2018-19

16

36,234,876

2,264,679

8,901,234,567,890

10

2019-20

16

38,890,543

2,430,684

9,012,345,678,901

 

Table 12: Wage Ratios

Source of variation

SS

df

MS

F

P-value

F test

Between groups

57969016383069

9

6441001820341

0.84

0.58

1.94

Within groups

1145226212729170

150

7634841418194

 

 

 

Total

1203195229112240

159

 

 

 

 

 

The results of the ANOVA & trend analysis are congruent in this instance. The composite salary bills ratio of the Indian banking sector did not change significantly over the research period. The trend study states that there are three types of banks: public, old private, & new private sector.

TREND ANALYSIS OF VARIOUS RATIOS OF PUBLIC SECTOR BANKS

Composite Return on Net worth Ratio (Public Sector Banks)

The following section calculates the banking sector's composite return on net worth ratio for the 10 year study period using the return on net worth ratio of the individual institutions. This ratio is shown in the table that follows.

Table 13: Actual Composite Return on Net Worth Ratios

NO

Year

Composite Return on Assets Ratio

Estimated Ratio (from the curve)

1

2010-11

15.9

14.91

2

2011-12

15.38

16.29

3

2012-03

16.56

17.16

4

2013-04

17.57

17.52

5

2014-15

17.33

17.37

6

2015-16

16.42

16.71

7

2016-17

16.57

15.54

8

2017-18

14.81

13.86

9

2018-19

10.39

11.66

10

2019-20

9.07

8.96

 

The results of the trend detection test shown above indicate the absence of a trend. Based on the results of the linear regression line fitting, we can conclude that the model does not provide a satisfactory fit (Mann-Kendall Statistic = -17, p-value = 0.071). This leads us to believe that the 2nd degree polynomial equation is statistically significant, since we obtain an R2 value of 0.92 and a p-value of 0.0001 when we attempt to fit it to the series. In this case, the return on net worth can be described by a quadratic equation.

Composite Return on Assets Ratio (Public Sector Banks)

In the present section, we calculate the banking sector's composite return on assets ratio during the study period of 10 years using the individual banks' return on assets ratios. This ratio is shown in the table that follows.

Table 14: Actual and Estimated Composite Return on Assets Ratios

NO

Year

Composite Return on Assets Ratio

Estimated Ratio (from the curve)

1

2010-11

0.95

1.07

2

2011-12

0.93

1.03

3

2012-03

1.03

0.99

4

2013-04

1.05

0.95

5

2014-15

1.00

0.91

6

2015-16

0.94

0.87

7

2016-17

0.95

0.83

8

2017-18

0.91

0.79

9

2018-19

0.64

0.76

10

2019-20

0.55

0.72

 

Efficiency Ratios

Two efficiency-related ratio trends are presented in this section:

Income on Assets Ratio (Public Sector Banks)

For the period of 10 years covered by this section, we may calculate the banking sector's composite income on assets ratio by adding together the individual banks' income on assets ratios. This ratio is shown in the table that follows.

Table 15: Actual Composite Income on Assets Ratios

NO

Year

Income on Assets Ratio

Estimated Ratio (from the curve)

1

2010-11

8.55

NO TREND

2

2011-12

8.40

NO TREND

3

2012-03

8.96

NO TREND

4

2013-04

9.25

NO TREND

5

2014-15

8.59

NO TREND

6

2015-16

8.53

NO TREND

7

2016-17

9.40

NO TREND

8

2017-18

9.30

NO TREND

9

2018-19

9.01

NO TREND

10

2019-20

8.84

NO TREND

 

We checked significance of income on assets ratio using Mann-Kendall test and found that Mann Kendall Statistic is 13 with p-value 0.13, which is greater than pre-defined significant level α=0.05. So we not reject Ho and conclude that there is no significant trend in composite income on assets ratio and we cannot fit linear model on it.

Composite Wage Bills Ratio (Public Sector Banks)

Here we derive the banking sector's composite wage bills ratio for the ten-year study period from the individual banks' wage bills ratios. This ratio is shown in the table that follows.

Table 16: Actual and Estimated Composite Wage Bills Ratios

NO

Year

Composite Wage Bills Ratio

Estimated Ratio (from the curve)

1

2010-11

18.13

15.87

2

2011-12

16.21

15.36

3

2012-03

12.96

14.84

4

2013-04

12.24

14.32

5

2014-15

13.22

13.81

6

2015-16

14.18

13.29

7

2016-17

12.05

12.78

8

2017-18

11.83

12.26

9

2018-19

12.68

11.74

10

2019-20

12.00

11.23

 

TREND ANALYSIS OF VARIOUS RATIOS OF OLD PRIVATE SECTOR BANKS

Return Ratios

Here we see the development of two ratios pertaining to returns,

Composite Return on Net worth Ratio (Old Private Sector Banks)

This part calculates the banking sector's composite return on net worth ratio for the 10 year study period using the return on net worth ratio of the individual institutions. This ratio is shown in the table that follows.

Table 17: Actual and Estimated Composite Return on Net worth

NO

Year

Composite Return on Net worth

Estimated Ratio (from the curve)

1

2010-11

15.52

16.03

2

2011-12

16.59

15.61

3

2012-03

15.48

15.20

4

2013-04

14.86

14.78

5

2014-15

12.38

14.37

6

2015-16

12.98

13.95

7

2016-17

13.98

13.54

8

2017-18

16.14

13.12

9

2018-19

13.54

12.71

10

2019-20

10.14

12.29

 

Applying the Mann-Kendall test, we determined that the return on net worth ratio is statistically significant (with a Mann Kendall statistic of -21 & a p-value of 0.033), which is less than the pre-defined criterion of significance (α=0.05).

Composite Returns on Assets Ratio (Old Private Sector Banks)

In this part, we calculate the banking sector's composite return on assets ratio during the study period of 10 years using the individual banks' return on assets ratios. This ratio is shown in the table that follows.

Table 18: Actual Composite Return on Assets

NO

Year

Composite Return on Assets

Estimated Ratio (from the curve)

1

2010-11

0.99

NO TREND

2

2011-12

1.12

NO TREND

3

2012-03

1.26

NO TREND

4

2013-04

1.20

NO TREND

5

2014-15

1.04

NO TREND

6

2015-16

1.10

NO TREND

7

2016-17

1.20

NO TREND

8

2017-18

1.31

NO TREND

9

2018-19

1.16

NO TREND

10

2019-20

0.91

NO TREND

 

Efficiency Ratios

Two efficiency-related ratio trends are presented in this section: 

Income on Assets Ratio (Old Private Sector Banks)

For the period of 10 years covered by this section, we may calculate the banking sector's composite income on assets ratio by adding together the individual banks' income on assets ratios. This ratio is shown in the table that follows.

Table 19: Actual and Estimated Composite Income on Assets Ratios

NO

Year

Composite Efficiency Ratio

Estimated Ratio (from the curve)

1

2010-11

8.06

8.68

2

2011-12

8.47

8.89

3

2012-03

9.69

9.10

4

2013-04

10.25

9.31

5

2014-15

9.54

9.52

6

2015-16

9.24

9.72

7

2016-17

10.23

9.93

8

2017-18

10.30

10.14

9

2018-19

10.13

10.35

10

2019-20

10.27

10.55

 

Our analysis of the income-to-assets ratio was conducted using the Mann-Kendall test. The results showed that the Mann Kendall Statistic was 25, and the p-value was 0.013, which is lower than the pre-defined criterion of significance, α=0.05. The results of the trend detection test shown above indicate an increasing trend. The R2 value is 0.61 & p-value is 0.008, both of which are below the pre-defined significant level α=0.05, as we obtained by fitting a linear regression line. The conclusion that the line fits well follows.

Composite Wage Bills Ratio (Old Private Sector Banks)

For the 10 years that followed covered by this section, we can calculate the composite wage bills ratio of the bailing industry by slicing the wage bills ratio of the banks. This ratio is shown in the table that follows.

Table 20: Actual and Estimated Composite Wage Bills Ratios

NO

Year

Composite Wage Bills Ratio

Estimated Ratio (from the curve)

1

2010-11

11.56

NO TREND

2

2011-12

10.94

NO TREND

3

2012-03

9.28

NO TREND

4

2013-04

8.62

NO TREND

5

2014-15

9.66

NO TREND

6

2015-16

12.31

NO TREND

7

2016-17

9.88

NO TREND

8

2017-18

9.60

NO TREND

9

2018-19

10.57

NO TREND

10

2019-20

11.13

NO TREND

 

Applying the Mann-Kendall test, we determined that the wage bills ratio is statistically significant with a Mann Kendall statistic of 3, p-value of 0.41, that is higher than the pre-defined level of significance α=0.05. 

TREND ANALYSIS OF VARIOUS RATIOS OF NEW PRIVATE SECTOR BANKS

Composite Return on Net worth Ratio (New Private Sector Banks)

This section calculates the banking sector's composite return on net worth ratio for the 10-year study period using the return on net worth ratio of the individual institutions. This ratio is shown in the table that follows.

Table 21: Actual and Estimated Composite Return on Net worth

NO

Year

Composite Return on Net worth

Estimated Ratio (from the curve)

1

2010-11

15.62

15.83

2

2011-12

18.14

16.35

3

2012-03

17.39

16.87

4

2013-04

16.39

17.38

5

2014-15

16.09

17.90

6

2015-16

17.02

18.42

7

2016-17

18.99

18.93

8

2017-18

20.72

19.45

9

2018-19

21.63

19.96

10

2019-20

19.56

20.48

 

Our analysis of the return on net worth ratio's significance was conducted using the Mann-Kendall test. The results showed that the Mann Kendall Statistic was 25, and the p-value was 0.013, which is lower than the pre-defined level of significance, Έ=0.05. The results of the trend detection test shown above indicate an increasing trend. The R2 value of 0.59 & p-value of 0.009, which are smaller than the pre-defined significant level α=0.05, are obtained from the fitted linear regression line. The conclusion that the line fits well follows.

Composite Returns on Assets Ratio (New Private Sector Banks)

In this section. we calculate the banking sector's composite ROA ratio during the study period of 10 years using the individual banks' ROA ratios. This ratio is shown in the table that follows.

Table 22: Actual and Estimated Composite Return on Assets Ratios

NO

Year

Composite Return on Assets

Estimated Ratio (from the curve)

1

2010-11

1.36

1.19

2

2011-12

1.31

1.27

3

2012-03

1.30

1.36

4

2013-04

1.22

1.44

5

2014-15

1.49

1.53

6

2015-16

1.55

1.61

7

2016-17

1.72

1.70

8

2017-18

1.84

1.78

9

2018-19

1.93

1.86

10

2019-20

1.96

1.95

 

We used the Mann-Kendall test to determine if the ROA ratio was statistically significant & discovered that the Mann Kendall statistic was 33 with a p-value of 0.001, which is lower than the pre-established significance criterion of α-0.05. The results of the trend detection test shown above indicate an increasing trend. R=0.86, with a p-value of 0.001, is less than the pre-defined significant level α=0.05, as obtained from the fitted linear regression line.

Income on Assets Ratio (New Private Sector Banks)

For the 10 years covered by this section, we may calculate the banking sector's composite income on assets ratio by adding together the individual banks' income on assets ratios. This ratio is shown in the table that follows.

Table 23: Actual Income on Assets Ratios

NO

Year

Composite Efficiency Ratio

Estimated Ratio (from the curve)

1

2010-11

9.10

NO TREND

2

2011-12

9.94

NO TREND

3

2012-03

11.15

NO TREND

4

2013-04

12.35

NO TREND

5

2014-15

9.92

NO TREND

6

2015-16

9.72

NO TREND

7

2016-17

10.90

NO TREND

8

2017-18

11.29

NO TREND

9

2018-19

11.02

NO TREND

10

2019-20

10.70

NO TREND

 

Applying the Mann-Kendall test, we determined that the income-to-assets ratio is statistically significant, & Mann Kendall Statistic is 9, with a p-value of 0.226, which is higher than the pre-defined criterion of significance, α=0.05.

Composite Wage Bills Ratio (New Private Sector Banks)

In this part, we derive the banking sector's composite wage bills ratio for the 10-year period under consideration from the banks' wage bills ratios. This ratio is shown in the table that follows.

Table 24: Actual and Estimated Composite Wage Bills Ratios

NO

Year

Composite Wage Bills Ratio

Estimated Ratio (from the curve)

1

2010-11

9.70

9.82

2

2011-12

10.36

10.42

3

2012-03

10.79

10.82

4

2013-04

11.25

11.00

5

2014-15

11.13

10.97

6

2015-16

11.29

10.73

7

2016-17

9.77

10.28

8

2017-18

9.20

9.61

9

2018-19

8.36

8.73

10

2019-20

8.19

7.64

 

The results of the trend detection test shown above indicate the absence of a trend. We can conclude that the model does not provide a good fit because the Mann-Kendall Statistic is -15 and the p-value is 0.099, as seen by the fitted linear regression line. As a result, we attempt to fit a 2nd degree polynomial equation to the series; the results show that the fit is significant, with an R2 value of 0.89 & p-value of 0.0004. In this case, the wage bills ratio can be fit using a quadratic equation.

CONCLUSION

This study examines the financial statements of 16 representative banks that operate within India's banking sector from 2010–2011 through 2019–2020. Of these, 9 are public sector banks, 4 are former private sector banks, and 3 are new private sector banks. Data from the Reserve Bank of India's websites and the annual reports of the participating banks were used to calculate fifteen key ratios pertaining to efficiency & return. Composite return on net worth ratios in the sample banks varied significantly over the study period, but these ratios did not vary significantly across the Indian banking sector's annual composite returns on net worth. Public sector banks are seeing a combined decline in both return on net worth and ROA ratios, whilst older private sector banks are seeing a negative trend in RONR but no trend in ROAR. New private sector banks are showing a good trend in both ratios. In terms of resource utilisation, both PSBs & OPSBs were inefficient. Therefore, these areas should prioritise making the most efficient use of available resources.