Loans And Advances Evaluation With Discriminant Analysis: A Case Study Of Five Commercial Banks
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Loans And Advances Evaluation With Discriminant Analysis: A Case Study Of Five Commercial Banks
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LIST OF TABLES

4.1 Data Table for Performing and Non-Performing credits

4.2 Classification Function Coefficients

4.3 Measure of Relative Discriminatory Power by Stepwise Method

4.4 Validation count

ABSTRACT: The study examined critical factors that discriminate between Nonperforming loans and advances and performing ones in commercial Banks. Non-performing credits has been a major cankerworm that continuously affects the Nigerian Banking System. A linear discriminant function was developed after considering the eight factors responsible for discriminating between Performing credits and Non-performing credits. The study revealed that only two factors; years of experience and the tenor of the credit facility were the most important discriminatory factors that successfully discriminate between Performing and Non-performing credits. The model developed for the analysis is Y = 0.282 X4 – 0.234X8 . This

model was evaluated using F-value, Chi-square, Eigenvalue,

Canonical correlation and Wilk’s Lambda, and it was confirmed to be significant in discriminating between the two credit groups.

 

TABLE OF CONTENTS

CHAPTER ONE

1.0 Introduction 1

1.1 Background of the Study 1

1.2 Discriminant Function Analysis as a Multivariate

Technique 4

1.3 Statement of Problem 6

1.4 Limitation and Scope 6

1.5 Aims and Objectives 7

1.6 Significance of the Study 8

1.7 Purpose of Discriminant Analysis 8

1.8 Classification Problems Examples 9

1.9 Definitions of Terms 10

CHAPTER TWO

2.0 Review of Related Literature 15

2.1 Discriminant Function Analysis 19

2.2 Problems In Discriminant Analysis 21

2.3 Commercial Loans and Advances 24

CHAPTER THREE

3.0 Research Methodology 30

3.1 Sources of Data 30

3.2 Sampling Procedure 31

3.3 Method of Data Analysis 31

3.4 Problems Encountered During Data Collection. 31

3.5 Discriminant Analysis 32

3.5.1 The Form of Data for A Discriminant Analysis 33

3.5.2 Fisher’s Linear Discriminant Function 34

3.6 Stepwise Discriminant Function Analysis 38

3.6.1 Wilk’s Lambda Distribution 39

3.6.2 Near-Exact and Asymptotic Distributions for the Generalized Wilks  Statistic 42

3.6.3 The Theory of Canonical Correlation in Discriminant

Function Analysis 45

3.7 Probability Of Misclassification 47

3.8 Cutting Scores 49

3.8.1 Relative Discriminatory Power of the Variables 49

3.8.2 Computer Programme Used In the Analysis 50

3.9 Evaluation of Performance of the Model 51

CHAPTER FOUR

4.1 Data Description. 52

4.2 Data Presentation 52

4.3.1 Application Of Stepwise Discriminant Method 58

CHAPTER FIVE

5.1 Summary of Findings 66

5.2 Conclusion 67

5.3 Recommendations 69

References 71

Appendices 76

 

CHAPTER ONE

1.0 INTRODUCTION

1.1 BACKGROUND OF THE STUDY

Non-performing loans and advances have been a major problem affecting the banking industry. It creates problem of liquidity into

the system and also is a sign that a bank is unhealthy. As at the end of March, 2004, the CBN’s ratings of all the banks classified 62 as sound/satisfactory, 14 as marginal and 11 as unsound, while 2 of the banks did not render any returns during the period. The weakness of some ailing banks are manifested by their overdrawn positions with the CBN, high incidence of nonperforming loans, capital deficiencies, weak management and non corporate governance.

A further analysis of the returns of the marginal and unsound banks reveals that they account for 19.2 percent of total assets of the banking system, 17.2 percent of total deposit liabilities while the industry non-performing assets account for 19.5 percent.

Although below the trigger points for declaring the system as distressed, they are nevertheless of major supervisory concern (Soludo 2004).

Banks consolidation and 25bn recapitalization in Nigeria reduces the number of deposit money banks from 89 as at end-June 2004, to 25 banks as at January 2006. The reform is designed to ensure a diversified strong and reliable banking sector which will ensure the safety of depositors’ money, play active developmental roles in Nigerian players in the African Regional and Global Financial system.

In the United States of America, there had been over 7000 cases of bank mergers since 1980. In Korea, for example, the system was left with only 8 commercial banks with about 4,500 branches after consolidation. A bank in South Africa – Amalgamated Banks of South Africa (ABSA) has asset base larger  than all of the Nigerian commercial banks put together (Soludo 2004)

The Central Bank of Nigeria removed 5 Banks’ Chief Executive

Directors (CEO) and their Executive Directors on 14th of August,

2009 for excessive high level of non-performing loans in five banks which was attributable to poor corporate governance practices, lax credit, administration processes and absence or non-adherence to banks credit risk management practices. Thus, the percentage of non-performing loans to total loans ranged from 19% to 48%

(Vanguard Online, 14 August, 2009).

Furthermore, additional three Banks’ Managing Directors and

Executive Directors were also fired on 2nd October, 2009 for the same offences. The huge provisioning for the non-performing loans have virtually eroded the shareholders fund. Thus, the banks are under-capitalized for their current levels of operations and are required to increase their provisions for loan losses, which impacted negatively on their capital (Sanusi 2009).

In other words, these banks were unable to meet their maturing obligation as they fall due without resorting to the CBN or Inter Bank market. Their liquidity ratios ranged from 17.65% to 24% as at May 31, 2009 (Regulatory minimum is 25%). Hence, the need to identify the factors contributing to non-performing credits in Nigeria Banking Industries.

In furtherance of the efforts of the Central Bank of Nigeria (CBN) to assist the banks affected by the outcome of the recent CBN/NDIC Special Examination, published the list of non-performing loans of N100m and above for Bank PHB, Spring Bank, Unity Bank, Wema Bank and Equitorial Trust Bank on The Nation Newspaper. The number of the non-performing loans of N100m and above for the banks stated above respectively are 149, 221, 120, 79 and 45 (The Nation, October 14, 2009)

The banking sector reform is valid for now.

 

1.2 DISCRIMINANT FUNCTION ANALYSIS AS A

MULTIVARIATE TECHNIQUE

Multivariate analysis can be referred to as all statistical methods

that simultaneously analyze multiple measurements on each

individual or object under investigation. Any simultaneous analysis

of more than two variables can be loosely considered as multivariate

analysis. As such, multivariate techniques are extensions of

univariate analysis (analysis of single-variable distributions) and

bivariate analysis (cross-classification correlation).

5

However, to be considered truly multivariate all of the variables

must be random variables that are interrelated in such ways that

their different effects cannot be meaningful interpreted separately.

Discriminant analysis is a multivariate technique concerned with

separating distinct set of objects or observations and with allocating

new objects to previously defined groups.

It can be referred to as a statistical technique by which we can

make decisions to categorise groups or classify individuals (objects)

into their respective groups usually on the basis of some

measurement observed on the individuals (objects). This implies

that the basic problem of discriminant analysis is to assign an

observation, X, of unknown origin to one of two (or more) distinct

groups on the basis of the value of the observation.

In some problems, fairly complete information is available about the

distribution of X in the two groups. In this case we may use this

information and treat the problem as if the distribution are known.

6

1.3 STATEMENT OF PROBLEM

The Central Bank of Nigeria is saddled with the responsibility to act

and protect all depositors and creditors and ensure that no one

loses money due to bank failure. The commercial banks give out

depositors money as loan and advances which should be paid back

at expiration of such facilities.

The basic question is what factors contribute or identifies nonperforming

loans or performing loans. What factors or indices

should be looked into, to avoid non-performing loans which can

eventually make a bank to have liquidity problem which can

culminate to classify a bank as distressed and depositors losing

their hard-earned money. Hence, the research is focused on

Discriminant Function analysis of performing loans/advances and

non-performing loans/advances.

1.4 LIMITATION AND SCOPE

This project work is limited to commercial loans and advances

granted by commercial banks in Nigeria between 2006 and 2008,

7

both year inclusive. Consumer loans are not included in this

analysis.

1.5 AIMS AND OBJECTIVES

The study is aimed at performing a discriminant analysis on

performing loans/advances and non-performing loans/advances.

Using data compiled from schedules received from 5 randomly

selected commercial Banks (Skye Bank, Intercontinental Bank,

Union Bank, UBA Bank, and Bank PHB) through their

Account/Credit officers. The project seeks to achieve the following

sets of objectives:

1. To identify the socio-economic characteristics that

discriminate between performing loans/advances and

nonperforming loans/advances;

2. To be able to predict the likelihood that loans/advances given

out by a bank will belong to a group of performing or not

based on the rule to be derived with Fisher’s Discriminant

Analysis.

8

1.6 SIGNIFICANCE OF THE STUDY

Non-performing loans/advances cause liquidity problems in the

banking industry whereby banks were unable to meet up with their

obligations as they fall due. This study is justified in that it will add

to the body of knowledge pertaining to factors contributing to nonperforming

loans/advances.

The inferences from the research will enable the management of

various banks to restructure their loans and advances to address

the socio-economic characteristics that contributed to nonperforming

loans.

1.7 PURPOSE OF DISCRIMINANT ANALYSIS

 To classify cases into groups using a discriminant prediction

equation.

 To investigate independent variable mean difference between

groups formed by the dependent variable.

 To assess the relative importance of the variable in classifying

the dependent variable.

9

 To discard variables which are of little discriminating power to

the group distinctions.

1.8 CLASSIFICATION PROBLEMS EXAMPLES

Instances of classification problems can be applied in many field of

endeavour such as the following:

1. A medical practitioner who intends to classify new born babies

into different categories of blood groups, based on measurements

obtained from the blood samples of the babies.

2. A geologist can as well wish to classify fossils into their respective

categories of fossils-groups on the basis of measurements on the

ages, size and shapes of the fossils.

3. A guidance and counselling consultant might desire to categorise

students with different course in a university, for which they are

best-suited based on measured scores of the students in related

subjects in the J.M.E results.

4. A biochemist might desire to classify foods into the distinct

categories of food nutrients as protein, fat and oil, vitamin,

10

carbohydrates, minerals and water based on measurement of the

comparative amount of different nutrients in the food.

5. An agronomist can as well be faced with the problem to classify a

particular breed of animal or plant into its proper class.

6. An automobile engineer might as well decide to classify an engine

into one of the several categories of engine on the basis of

measurements of its power output, shape and size.

All the above related problems of classification can be effectively

solved by discriminant analysis.

1.9 DEFINITIONS OF TERMS

a) Performing credit: A credit facility is deemed to be performing

if payments of both principal and interest are up-to-date in

accordance with agreed terms. The borrower must effect payment

such that outstanding unpaid interest must not exceed 90 days.

b) Distress Institution: is a financial institution with several

financial operational and management weakness which have

rendered it difficult to meet its obligation to its customers, owners

and economy as at when due.

11

c) Non-performing credit: a credit facility should be deemed as

non-performing when any of the following conditions exists:

(i) interest or principal is due and unpaid for 90 days or

more;

(ii) interest payments equal to 90 days interest or more have

been capitalised, rescheduled or rolled over into a new loan

(except where facilities have been reclassified as specified in

(iii) below);

(iii) the practice whereby some licensed banks merely

renew, reschedule or roll-over non-performing credit

facilities without taking into consideration the repayment

capacity of t

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