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  • 标题:Social and financial efficiency of microfinance institutions in Pakistan.
  • 作者:Khan, Zahoor ; Sulaiman, Jamalludin
  • 期刊名称:Pakistan Development Review
  • 印刷版ISSN:0030-9729
  • 出版年度:2015
  • 期号:December
  • 语种:English
  • 出版社:Pakistan Institute of Development Economics
  • 摘要:Keywords: Efficiency, Microfmance Institutions, DEA
  • 关键词:Economic efficiency;Industrial efficiency;Microfinance institutions;Poverty

Social and financial efficiency of microfinance institutions in Pakistan.


Khan, Zahoor ; Sulaiman, Jamalludin


Targeting financially marginalised communities in an efficient way is the most desirable and possibly the most effective strategy for microfmance institutions (MFIs) to reduce incidences of absolute poverty, create self-employment opportunities, and improve socioeconomic wellbeing of the poor communities. This paper attempts to investigate social and financial efficiency of Pakistani microfinance institutions to bring forth optimal strategies for financing non-bankable poor in an efficient and self-sustainable way. The investigation of efficiency of the MFIs in Pakistan can help the major stakeholders of the industry in understanding the current scenario and to design optimal policy agenda for the future. The sample size of this study consists of all MFIs in Pakistan for the year 2013. The data about the MFIs has been taken from 'Mixmarket' database. After specifying 19 different DEA models, with the help of three input and four output variables, representing various dimensions of MFIs such as cost structure, financial structure and organisational characteristics, the study reveals that MFIs efficiency is sensitive towards the selection of input and output variables, the choice of CCR and BCC models and the number of input and output variables in the model. The study further reveals that there is no single way to efficiency, however, it mainly depends on the scale, age and types of MFIs. Microfinance banks perhaps are not appropriate financial institutions to extend microcredit to poorer community members and to achieve the goal of women empowerment through the extension of credit to women. Our rough estimates suggest that inefficient MFIs should focus on the optimal use of Asset (which is common among the socially efficient MFIs irrespective of their types and size) followed by reducing operating costs and improving the quality of loan officers.

JEL Classification: 043, L25

Keywords: Efficiency, Microfmance Institutions, DEA

1. INTRODUCTION

Financial efficiency and profitability of 'for profit' institutions have been traditionally measured with the help of financial ratios [Hassan and Sanchez (2009)]. However, financial ratios are inappropriate to investigate the sources of inefficiency, estimate financial or social efficiency with multiple inputs and outputs, and to decompose the sources of efficiency or inefficiency into technical, technological and scale efficiencies or inefficiencies respectively [Hassan and Sanchez (2009)]. Microfinance Institutions (MFIs) are special institutions, which simultaneously consider their social role to uplift the marginalised community members along with their commercial objective to secure self-sustainability. In standard literature this phenomenon is coined MFIs as being 'double bottom line" institutions. [Gutierrez-Nieto, Serrano-Cinca, and Mar Molinero (2007); Gutierrez-Nieto, Serrano-Cinca, and Molinero (2007)]. This simultaneity differentiates MFIs from conventional financial institutions. The achievement of socioeconomic efficiency is indispensable for MFIs to operate independently and on a wider scale. Thus investigation of socioeconomic efficiency of MFIs is important for monitoring and optimal policy implications.

Efficiency assessment techniques are broadly divided into parametric; such as Stochastic Frontier Analysis (SFA), Thick Frontier Analysis (THA) etc., and nonparametric techniques such as Data Envelopment Analysis (DEA) [Berger and Humphrey (1997); Gutierrez-Nieto, et al. (2007)]. According to Berger and Humphrey (1997) the popular efficiency assessment technique is DEA. This technique does not assume any prior specific shape of distribution and is also free from specific functional form. In spite of the mentioned strengths of DEA, it also has some demerits as well. Before investigating efficiency of Pakistani MFIs, it is important to consider the limitation of DEA. Otherwise it may yield misleading results. For example, an inefficient DMU may become efficient and vice versa because of inappropriate specification of the model or irrelevant input or output variables [Gutierrez-Nieto, et al. (2007)]. How to avoid or minimise the biasedness of this technique is a question of central importance for researchers and policy institutions? The DEA technique identifies an efficient MFI based on extreme information therefore, it is unsafe to conclude that an MFI is efficient or otherwise based on a single input-output specification. To deal with this issue, this paper attempts to identify an efficient MFI based on all possible and theoretically important combinations of input and output variables. This idea was developed by Cinca and Molinero (2004). There are different statistical techniques such as "Factor Analysis" to identify factor inputs or outputs, which are more important than other combinations of input and output variables for model specifications.

Pakistan initiated microfinance programmes in 1980s. The Agha Khan Rural Support Programme (AKRSP) and the Orangi Pilot Project were the first microcredit programmes initiated in Pakistan. Today microfinance sector in Pakistan consists of; Microfinance banks, Rural Support Programmes, NGOs, Islamic microfinance NGOs and specialised MFIs. Major changes have been observed in the Microfinance sector in Pakistan. First, there were no practices of the provision of other financial services like micro-insurance, deposit; micro-pensions etc., except microcredit but in recent days MFIs provide a set of financial products and policies. Second, microcredit programmes were imitated to help the poor and marginalised people without any commercial objectives but todays' most of the MFIs have changed their intentions and now they are looking for both: commercial gains and social success. Third, microfinance programmes in Pakistan were multidimensional in nature but todays' microfinance programmes are more specific and specialised.

Pakistan is one of the developing countries, which recognised the importance of microfinance as a strong tool for socioeconomic uplifting of the poor and financially marginalised segments since the early 80's. Although, the country has initiated the efforts for the last 30 years against poverty and gender disparity; however, the desired outcome has not been achieved. Under the "Microfinance Strategy 2007", the state bank of Pakistan set a target to reach 3 million borrowers until the end of 2010. Further, the target is expected to grow from 3 million to 10 million by the end of 2015 [SBP(2011)]. (1) Flowever, until the end of fiscal year 2012-13, around 2.43 million poor have only been reached by microfinance institutions [Mixmarket (2012)].

This paper aims to gauge financial and social efficiency of Pakistani MFIs across the country to know the underlying factors which make a particular DMU efficient or otherwise. These factors have been investigated in different dimensions such as organisational characteristics, cost and financial structure of MFIs, the ability of MFIs to generate maximum profit, disburse maximum loans, and targeting 'poorer and financially marginalised' community members.

2. THEORETICAL FRAMEWORK OF THE STUDY

The roots of micro-financing, to facilitate the poor by providing small loans for productive utilisation and self-employment, can be traced back to philosophical concern of conceptualising poverty as lacking of access to financial capital [Engberg-Pedersen and Munk Ravnborg (2010); Hulme and Shepherd (2003)]. According to this concept poor are assumed to be productive, capable of running their own small businesses and creditworthy to payback their loans. This idea initiated the extension of microcredit to the poor at different formal and informal levels [Ledgerwood (1999)]. Informal credit has remained a more dominant source for the poor who were not able to produce physical collateral for conventional financial institutions [Rhyne and Christen (1999)]. In nutshell, conceptualisation of poverty as lack of access of the poor to financial capital, the extension of financial capital for self-employment and productive utilisation of credit, marginalisation of poor by the traditional banks due to lack of physical collateral, exploitation of the poor by informal credit sources and focus of business models on alleviation of poverty are some of the factors which initiated microfinance activities across the globe.

The operations of microfinance institutions can be broadly observed into two contexts. First, Microfinance institutions can be observed as financial intermediaries such as they collect deposits from the clients and non-clients, they provide saving facilities to the clients and then mobilise the funds among the clients who need them [Christen and Drake (2002); Qayyum and Ahmad (2006)]. In this context, microfinance institutions are more or less similar to conventional banks in terms of their operations. Second, microfinance institutions can be treated as production units [Gonzalez (2007); Haq (2008)]. MFI institutions use certain inputs such as credit officers, capital and produce outputs such disbursement of loans, generating revenue and targeting the poor clients [Armendariz and Morduch (2010); Qayyum and Ahmad (2006)]. Production approach seems more appropriate than intermediary approach because all MFIs do not provide the facility of saving and deposits, except microfinance banks (which is only one kind of MFIs) thus, this approach does not fit to maximum MFIs [Gutierrez, Serrano-Cinca, and Molinero (2007)]. Efficiency theories, to test financial or social efficiency and overall performance of microfinance thus do not seem good in production approach. The neo classical theory of production and production efficiency seems more suitable when the MFIs are assumed as productive units (such as firms), while they are producing almost same products, working in the same regulatory and environment, using more or less same inputs. Based on the assumptions of neoclassical economists, producers always operate efficiently in terms of both technical aspects and economic aspects as well [Kokkinou (2010)]. For example, technical efficiency means optimisation by not wasting productive resources while economic efficiency means producers optimise by solving allocation problem involving prices. The difference in production may result from the differences in;

(i) Technology of production.

(ii) Differences in the efficiency of the production process.

(iii) Differences in the environment where production is taking place.

There is a fair chance of difference in production even when technology and production environment are almost the same, firms or industries may exhibit different productivity levels due to differences in their production efficiency [Kokkinou (2010)]. Thus, this study attempt to investigate social and financial efficiency of the MFIs under the assumption of constant return to scale (input oriented CCR-model) and variable return to scale (input oriented BCC-model). The following Figure 1 shows theoretical framework of the study.

[FIGURE 1 OMITTED]

Inputs: Factors which are used to produce something or deliver a service. These can affect the production process, Industry characteristics can be affected from external factors.

Production Process: This is a link between factors input and output. This may compromise the quality and quantity of inputs, exogenous factors, and industry characteristics while it can affect output and industry characteristics in turn. This may encompasses production technology, internal environment, scale of production.

Output: This may be in the form of physical production or the provision of service. Output is affected by inputs through the production process and affects organisational performance.

External Factors: Factors which are exogenous such as intervention of the government through regulation polices, donors, rating agencies. These factors may affect the whole process-starting from input selection to operational performance.

Industry Characteristics: Industry characteristics such as the number of FMIs in the industry, capital or labour intensity of the industry, what product is being produced or what service is being offered. Industry characteristics are affected by and also affect inputs, production process, output and organisational performance.

3. MATERIAL AND METHODS

The sample size of the study consists of all Pakistani MFIs, available with latest complete information on Microfinance Information Exchange (MIX). The study therefore; uses cross sectional data for the year 2012. The selection of input and output variables is based on the literature [Gutierrez-Nieto, et al. (2007); Hassan and Sanchez (2009); Mamiza Haq, Michael, and Shams (2010)]. After going through the literature three inputs (Assets, Operating Costs (OC) and Loan Officers (LO)) and four outputs (two financial variables such as Gross Loan Portfolio (GLP), Financial Revenue (FR) and two social variables such as Women Borrowers (WB) and indicator of poorer clients' index (P)) selected to investigate how efficiently MFls in Pakistan transform the selected inputs to achieve their twin objectives; optimal social and financial efficiency. Based on Gutierrez, et al. (2007) calculating poverty index requires to weight each MF1 as; w = [{l-(Ki-Min (k)) / Range of K] where i represents the number of a particular MFI. Min (k) is the minimum of Average Loan per Borrower (ALPB) while max (k) is the maximum of ALPB. The range represents the difference between maximum and minimum (Max (K) - Min (k)). Based on the weight (w) assigned to each MFI, the indicator of poverty has been thus obtained. Pi is an index of support of the poor, based on ALPB. This index favours those MFIs which have smaller ALPB. Pi for a specific MFI can be obtained when its weight (w) is multiplied by number of borrowers (B); wB = [{(l-(Ki-Min (k) / Range of K} * B], It is a combination of two outreach indicators; width of outreach (number of borrowers) and depth of outreach (ALPB). Women borrowers and poverty index, both, are used as social indicators of MFIs.

MFIs in Pakistan consist of seven specialised microfinance banks, three Non-Banking Financial Institutions (NBFI) and nineteen NGOs. Keeping into consideration the limitation of same input and output variables for DEA models, this study adopted a production approach and avoided deposits with MFIs as input because the majority MFIs (particularly, NGO are mostly not regulated and thus are not able to mobilise savings and collect deposits from their clients) do not provide the facilities of saving or deposit collections. The following Table 1 represents input and output variables, their definitions and measurement units.

Data envelopment analysis efficiency score, with the help of the selected input and output variables, is estimated under BCC [Banker, Chames, and Cooper (1984)] and CCR [Chames, Cooper, and Rhodes (1978)] input based models through 19 different specifications. Each specification of input/s and output/s represents a unique combination to reveal the sources of efficiency or inefficiency for each MFI. For example, the input variables represent three dimensions; asset (capital structure), operating cost (cost structure) and loan officers (the quality of human resources) and the output variables represent financial indicators (gross loan portfolio and financial revenue) and social indicators (indicator of poverty and targeting the women clients). First 12 models (Al, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, and C4) represent a corresponding one to one relationship among the input and output variables. This will help to identify the channels of efficiency for each MFI. The next four models (ABC1, ABC2, ABC3 and ABC4) represent the combinations of all inputs with respect to financial and social indicators. Subsequent two models (ABC 12 and ABC34) represent financial and social efficiency models. These are more comprehensive models of financial and social efficiency than the previous models because they take into consideration all input and output variables, which make an MFI efficient or otherwise. The final model (ABC 1234) represents overall efficiency based on all the selected input and output variables.

These models were estimated through DEA, a non-parametric technique, used for calculation of social and financial efficiency without prior information about the shape of the distribution of a data set. This technique allows the researchers to calculate social or financial efficiency with multiple inputs and outputs [Gutierrez, et al. (2007); Gutierrez and Lezama (2011); Flaq, Skully, and Pathan (2010); Kabir and Benito (2009)]. This technique is equally beneficial for commercial and non-commercial DMUs. Both input-oriented (IO) and output-oriented (OO) versions of the DEA methodology have been applied to the data for the sake of efficiency score comparison. In order to specify the mathematical formulation of the IOM, if there are K MFIs (in the language of DEA it is called DMUs) using N inputs to produce M outputs then inputs are denoted by [X.sub.jk](j=l .... n) and the outputs are represented by [y.sub.ik] (i=l .... m) for each MFI k (k=1 .... K). The efficiency of the DMU can be measured as shown by [Coelli, Rao, and Battese (1998); Qayyum and Ahmad (2006); Shiu (2002); Worthington (1999)].

Technical Efficiency = (Sum of weighted output/Sum of weighted input)

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1)

Where [y.sub.ik] is the quantity of the 7th output produced by the kth MFI, XjS is the quantity of jth input used by the kth MFI, and [u.sub.i] and Vjare the output and input weights respectively. The DMU maximises the efficiency ratio, TEk, subject to;

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (2)

The above Equation (2) indicates that efficiency measures of an MFI cannot exceed 1, and the input and output weights are positive. The weights are selected in such a way that the MFI maximises its own efficiency. To select optimal weights the following mathematical programming (output-oriented) is specified [Coelli, et al. (1998); Qayyum and Ahmad (2006); Shiu (2002); Worthington (1999)].

4. CCR AND BCC INPUT ORIENTED MODELS

Input-orientated DEA model looks at the amount by which inputs can be proportionally reduced, where the amount of output is supposed to be fixed. On the contrary, the output-orientated model looks at the amount by which outputs can be proportionally expanded, where the amount of input is supposed to be fixed. The DEA can be conducted under the assumption of constant returns to scale (CRS) or variable returns to scale (VRS)

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (3)

Subject to

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]

Where [theta]o is the proportion of DMUo's inputs needed to produce a quantity of output equivalent to its benchmarked DMU output identified and weighted by the [lambda]i. [S.sup.*.sub.i] sr +is the slack variables of input and output respectively. [[lambda].sub.j] is a (n x 1) column vector of constants and indicate benchmarked DMUs.

The CCR model developed by Charnes, et al. (1978) estimate the efficiency of DMU with the assumption of Constant Return to Scale (CRS). This assumption may fail in imperfect markets. The CRS assumption is only appropriate when all firms are operating at an optimal scale. The use of the CRS specification when all firms are not operating at the optimal scale results in measures of Technical Efficiency (TE) which are confounded by scale efficiencies (SE). The use of the VRS specification permits the calculation of TE devoid of these SE effects.SE can be calculated by estimating both the CRS and VRS models and looking at the difference in scores. VRS model is essentially the CRS with an additional constraint added to the LP problem.

The BCC model developed by Banker, et al. (1984) is a modified version of CCR. This model helps to investigate scale efficiency. If striction Y?k=i = 1, is connected, then CCR model becomes BCC [Banker, Charnes, Cooper (1984)] model.

The modified form of CCR can be written as:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (4)

Subject to

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]

5. ESTIMATION TECHNIQUES AND METHODOLOGICAL CONCERNS

Following the model specification suggested by Cinca and Molinero (2004) the study estimated DEA efficiency for each feasible specification. Thus 19 different specifications of input and output variables have been estimated. Finally, super efficiently for all specified models have been estimated to rank the efficient MFIs [Lovell and Rouse (2003)]. In terms of input oriented models, super efficiency of a DMU represents the maximum possible proportional increase in an input vector retaining the DMU efficiency [Khodabakhshi (2007)].The DEA efficiency and super efficiency of all selected models have been estimated in the Efficiency Measurement System (EMS 1.3 version). The following Tables 2 and 3 show the results of various DEA efficiency models under the BCC and CCR models. The BCC models are used to estimate pure technical efficiency while CCR models are used to estimate overall technical efficiency. The ratio of CCR and BCC are then used to estimate scale efficiency and returns to scale [Banker and Thrall (1992); Ruggiero (2011)]. The maximum value of a technical or pure technical efficient MFI is 100. It means that the MF1 is 100 percent efficient to transform inputs into outputs. Any MFI for which the efficiency score is less than 100 is considered inefficient in managerial and technical aspects [Charnes, et al. (1978)].

6. RESULTS AND DISCUSSION

Tables 2 and 3 show efficiency scores, which resulted from input oriented CCR and BCC models for 29 MFIs with 19 specifications, to comprehend that what makes an MFI efficient or otherwise. The last three columns (ABC 12, ABC34, ABC 1234) of the Tables 2 and 3 present financial, social and overall efficiency respectively. None of the MFIs is 100 percent efficient under all specifications. A total of 10 out of 29 MFIs while only 2 FMIs were found 100 percent efficient on social, financial and overall efficiency dimensions under BCC and CCR models respectively. An MFI, which is efficient on social or financial dimensions is also 'overall efficient'. Under both model structures (BCC & CCR) the number of efficient MFIs increases when it has used more input and output variables. This is evident from the last three columns of the Tables 2 and 3. As these models involve more input and output variables, therefore the numbers of efficient MFIs are also higher than the rest of models' results.

The efficiency result of MFIs also varies across the return to scales. Under the CCR models, assuming a constant return to scale, only two out of twenty nine MFIs are overall efficient (means efficient on social, financial and overall dimensions-including all input and output variables) while under BCC models, assuming variable returns to scale, ten MFIs are efficient on social, financial and overall dimensions. This finding of the study cautions about misleading results, resulting from a single specification of DEA efficiency estimated for a DMU. Notwithstanding, such a single specification may not reveal the sources of efficiency or inefficiencies. The difference between the results of the CCR and BCC models of efficiency reveals the difference between managerial, technical and scale efficiencies. The MFIs, which are socially, financially and overall efficient under CCR models such as ASA- Pakistan and Orangi are at least efficient by either managerial or scale dimensions. Relaxing the assumption of constant return to scale enhanced the number of efficient MFIs. This reflects that majority of MFIs are efficient based on the managerial and technical skills but not on the scale dimensions. Thus the difference between BCC and CCR efficiency models reveal the sources of inefficiency , which resulted from the scale of the DMUs. The findings reveal that 2 out of 10 efficient MFIs, based on three comprehensive specifications (ABC 12, ABC 34, ABC 1234) under CCR are efficient based on managerial and scale dimensions (Please see Table 3 last three columns). Estimating efficiency of DMUs with a single specification and from full dataset will not reveal that how a particular DMU has achieved efficiency? Similarly, if a DMU is inefficient we shall not be able to detect the reasons of inefficiency.

Super efficiency for all 19 specifications of models has been estimated to know the rank of the efficient MFIs. As super efficiency of inefficient MFIs remains the same therefore, this technique only helps to rank the efficient MFIs [Scheel (2000)]. Based on the CCR input efficiency model, the super efficiency of Oranagi (an NGO based MFI) is 216.60 percent followed by ASA- Pakistan (an NFBI) with a 120.90 percent score. It can be interpreted as keeping the same output level; an increase in the inputs usage by Orangi and ASA- Pakistan by 116 percentage points and 20 percentage points respectively will not affect the efficiency level of these MFIs.

7. CONCLUSION AND POLICY IMPLICATIONS

The assessment of MFIs' efficiency is imperative for all stakeholders for optimal policy measures. Data envelopment analysis is a popular non-parametric, non-stochastic, liner programing based efficiency technique. This paper concentrates on the technical aspects of DEA efficiency score that how it varies across the selection of inputs and outputs, the number of inputs or outputs and the selection of DEA estimation technique. The sample size of this study consists of all MFIs in Pakistan. We have modelled all feasible and meaningful specifications. After 19 different specifications with the help of three input and four output variables, representing various dimensions of MFIs such as cost structure, financial structure and organisational characteristics, we have used input oriented BCC and CCR data envelopment analysis oriented models. We have also estimated super efficiency for all MFIs to rank them according to their potential. This study attempted to investigate financial and social level of efficiency of MFIs and to gauge tracks to efficiency.

The study attempted to achieve the required objectives using appropriate methodology. The study used Data Envelopment Analysis technique to investigate social and finical efficiency. The findings of the study revealed that NGOs and NBFI were more efficient, based on the achievements of social and financial objectives than microfinance banks. Financial and social efficiency of MFIs were estimated by two ways to reveal information about 'managerial and technical' aspects of MFIs. The study revealed that none of the microfinance institutions was found 100 percent efficient under all financial and social efficiency models. There were 13 MFIs, which were pure technically efficient in financial aspects out of the 29 MFIs. Bukhsh foundation scored highest (77.7 percent) and remained financially efficient under 15 of 19 different pure technical efficiency models. Subsequently, non-banking financial institutions and microfinance banks stood second in financial efficiency ranking (55.5 percent) based on pure technical score.

Like financial performance of MFIs, there was also a difference in social performance of MFIs, which resulted from variation in institutional characteristics. Twelve MFIs were found socially efficient based on input oriented pure technical efficiency models. Out of total socially efficient MFIs, nine were NGOs, one microfinance bank (Khushali bank) and two non-banking financial institutions (ASA- Pakistan, Orix leasing). The study reveals and recommends the following; The study reveals that efficiency score resulted from DEA, is sensitive towards the choice of inputs, outputs, functional form and number of inputs and outputs. Based on the sensitivity of this technique, the study warns against single specification of DEA and recommends multiple specifications of DEA efficiency models to conclude whether a particular DMU is efficient or otherwise. It was noticed that two MFIs could yield the same efficiency score, however; their way to achieve efficiency was quite different from each other. The MFIs had used different channels, which were considered their strengths, such as controlling operational cost or optimal utilisation of loan officers and Assets. It was also noticed that MFIs were more efficient in their managerial and technical skills rather than the scale of operation of MIFs. It is recommended to estimate pure technical and scale efficiencies separately, to comprehend the sources of efficiency or inefficiency about various DMUs to identify peers for corresponding MFIs accordingly. The overall super efficiency result of an MFI, based on collective social and financial output variables (variable 1,2,3, and 4), is at least as efficient as financial or social super efficiency models for that MFI. Increasing the number of input and output variables changes the efficiency score of DMUs. This is evident from Tables 2 and 3. The higher the number of input and output variables, the higher the efficiency chance for an MFI and vice versa. In this case the estimation of super efficiency is important along with technical and scale efficiencies. This allows the researchers to rank the MFIs, based on super efficiency score. Technical and scale efficiency in isolation cannot rank MFIs according to their corresponding efficiency levels.

Zahoor Khan <zahoor.khan@imsciences.edu.pk> is Assistant Professor, Institute of Management Sciences, Hayatabad, Peshawar. Jamalludin Sulaiman is Professor, School of Social Sciences, Universiti Sains Malaysia, Malaysia.

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(1) Please see Table 1.3 and 1.4.
Table 1

Inputs and Outputs and Their Definitions and Measurement

Symbol       Variable Name     Variable Definition               Unit

Input (A)    Total Assets      Total of all net asset             $
                                 accounts
Input (B)    Operating Cost    Expenses related to
                                 operations, such as all          $
                                 personnel Expenses, rent
                                 and utilities,
                                 transportation, office
                                 supplies, and depreciation
Input (C)    Number of loan    The number of individuals who    Number
               officers          are actively employed by
                                 the MFI to disburse loan
                                 and collect repayments.
Output (1)   Gross loan        Gross loan portfolio
               portfolio         outstanding principal            $
                                 balance of all of the MFI's
                                 outstanding loans including
                                 current, delinquent and
                                 restructured loans, but not
                                 loans that have been
                                 written off.
Output (2)   Financial         Financial revenue generated
               revenue           from the gross loan              $
                                 portfolio and from
                                 investments plus other
                                 operating revenue
Output (3)   Indicator of      Poverty Index, it is a
               Benefit to        combination of two outreach
               the poorest       indicators; width of
                                 outreach (number of
                                 borrowers) and depth of
                                 outreach (ALPB).
Output (4)   Number of women   Number of active borrowers       Number
               borrowers         who are female

Source: Adopted from [Gutierrez, et al. (2007); Gutierrez and
Goitisolo Lezama (2011)].

Table 2

DEA Efficiency of MFIs Based on BCC Input Oriented Models

DMUs                A1     A2     A3     A4     B1     B2     B3

Akhuwat             54     33     41     15     45     37     43
Apna MF Bank        83     74     9      10     42     59     15
ASA Pakistan       100    100    100    100     79     90    100
Asasah              8      53     79     79     16     16     18
BRAC-PAK            73     95     58     60     20     34     20
Buksh Foundation   100    100    100    100     29     29     29
CSC                 62     85     31     38     22     47     15
CWCD                82     80     28     14     28     41     15
DAMEN               77     89     30     4      59     99     27
FFO                79%     75     63     66     32     42     30
FMFB--Pakistan      48     68     10     5      45     64     12
GBTI                33     40     10     12     37     61     25
JWS                 69     74     36     41     29     51     20
Kashf Bank          57     81     1      1      22     36     1
Kashf Foundation   100     98    100    100     63     65     85
Khushali Bank      100     76     67     11     83     55     39
NRSP                99     84    100     50    100    100    100
NRSP Bank           63     85     13     3      59     80     16
Orangi              6      32     50     5     100     86    100
Orix Leasing        62     53     45     45     46     63     42
POMFB               18     42     6      4      12     40     7
PRSP                28     52     20     11     29     72     26
RCDS                59     76     34     36     27     58     21
SAFWCO              64     61     56     28     35     57     40
SRSO                86     61     48     51     75     68     47
SRSP                85     48     97     94     69     69     69
Sungi               98     79    100    100    100    100    100
TMFB               100    100     1      4     100    100     1
TRDP                83     61    82%     51     69     81     96

DMUs                B4     C1     B2     C3     C4    ABC1   ABC2

Akhuwat             18     21     10     30     16     61     38
Apna MF Bank        15     34     26     13     14     90     79
ASA Pakistan       100     22     17     59     82    100    100
Asasah              23     43     30     52     78     88     56
BRAC-PAK            24     14     14     23     38     73     95
Buksh Foundation    29    100    100    100    100    100    100
CSC                 22     39     40     31     52     72     93
CWCD                15     25     21     18     13     82     80
DAMEN               50     69     60     41    100    100    100
FFO                 35     32     28     35     47     81     79
FMFB--Pakistan      7      45     45     26     19     79     83
GBTI                25     58     56     39     46     61     81
JWS                 30     37     31     29     52     79     80
Kashf Bank          1      52     53     5      5      82     98
Kashf Foundation   100     27     19     75    100    100     98
Khushali Bank       10     61     42    100     39    100     71
NRSP                95     17     12    100     39    100    100
NRSP Bank           4      43     41     27     7      96    100
Orangi              18     99     46    100     28    100     88
Orix Leasing        54     65     50     65    100     82     76
POMFB               7      28     41     20     16     29     54
PRSP                16     15     20     21     16     35     78
RCDS                29     36     35     30     54     69     83
SAFWCO              28     29     22     33     31     71     66
SRSO                62     47     26     49     89    100     69
SRSP                69     90     80    100    100    100    100
Sungi              100     43     38     52     62    100    100
TMFB                5     100    100     5      27    100    100
TRDP                72    31%     19     54     50     99     81

                                 ABC    ABC    ABC
DMUs               ABC3   ABC4    12     34    1234

Akhuwat             52     22     61     52     61
Apna MF Bank        20     20     91     20     91
ASA Pakistan       100    100    100    100    100
Asasah             100    100     88    100    100
BRAC-PAK            58     60     95     60     95
Buksh Foundation   100    100    100    100    100
CSC                 48     62     93     62     93
CWCD                30     21     82     30     82
DAMEN               54    100    100    100    100
FFO                 69     72     81     72     81
FMFB--Pakistan      26     19     83     31     85
GBTI                41     46     81     46     81
JWS                 52     64     82     64     82
Kashf Bank          5      5      98     5      98
Kashf Foundation   100    100    100    100    100
Khushali Bank      100     28    100    100    100
NRSP               100     95    100    100    100
NRSP Bank           30     7     100     30    100
Orangi             100     30    100    100    100
Orix Leasing        80    100     82    100    100
POMFB               20     16     54     20     54
PRSP                30     21     78     30     78
RCDS                53     62     83     62     83
SAFWCO              74     42     73     74     82
SRSO                72     95    100     95    100
SRSP               100    100    100    100    100
Sungi              100    100    100    100    100
TMFB                4      18    100     18    100
TRDP               100     77     99    100    100

Source: Authors' own calculations.

Table 3

DEA Efficiency of MFIs Based on CCR, Input Oriented Models

DMUs                A1     A2     A3     A4     B1     B2     B3

Akhuwat             54     30     34     13     36     36     35
Apna MF Bank        81     66     5      7      37     55     3
ASA Pakistan       100     89     82     88     54     90     69
Asasah              77     48     70     73     12     14     17
BRAC-PAK            73     85     48     53     16     34     16
Buksh Foundation    60    100     24     19     3      10     2
CSC                 61     77     28     35     19     45     14
CWCD                78     72     27     7      22     37     12
DAMEN               77     80     26     36     51     98     26
FFO                 74     68     59     63     22     37     27
FMFB--Pakistan      39     47     8      5      29     64     9
GBTI                31     36     7      11     25     55     9
JWS                 68     66     31     37     27     49     19
Kashf Bank          57     71     0      0      16     36     0
Kashf Foundation    81     71     63     68     40     65     48
Khushhali Bank      61     51     27     9      32     49     22
NRSP                65     57     38     35     62    100     55
NRSP Bank           51     59     11     3      37     80     12
Orangi              65     29     42     5     100     82    100
Orix Leasing        60     48     39     41     39     59     40
POMFB               17     38     5      2      9      38     5
PRSP                27     47     17     10     23     72     22
RCDS                58     68     30     32     26     57     20
SAFWCO              63     55     47     26     34     55     39
SRSO                86     55     40     45     57     67     40
SRSP                66     40     80     75     18     20     33
Sungi               85     75    100    100     46     75     84
TMFB                53     64     1      4      32     72     1
TRDP                82     55     68     45     64     78     81

DMUs                B4     C1     B2     C3     C4    ABC1   ABC2

Akhuwat             16     19     8      22     15     61     37
Apna MF Bank        6      24     16     2      7      87     77
ASA Pakistan        87     21     16     32     62    100    100
Asasah              21     24     13     41     77     84     56
BRAC-PAK            21     13     13     16     32     73     93
Buksh Foundation    2      10     13     7      10     60    100
CSC                 20     27     28     23     52     70     92
CWCD                4      14     11     9      4      78     80
DAMEN               44     61     52     38     96    100    100
FFO                 34     15     12     22     43     74     76
FMFB--Pakistan      6      44     44     17     17     58     73
GBTI                16     28     27     12     33     42     56
JWS                 27     29     23     24     52     77     80
Kashf Bank          0      49     49     0      1      76     90
Kashf Foundation    62     26     19     38     74     88     83
Khushhali Bank      9      61     41     50     31     83     65
NRSP                60     16     12     17     29     85    100
NRSP Bank           4      42     40     17     7      68     82
Orangi              14     84     31    100     21    100     84
Orix Leasing        49     44     29     53    100     77     60
POMFB               2      16     29     9      6      23     50
PRSP                15     13     18     15     15     34     73
RCDS                26     29     28     27     53     67     83
SAFWCO              25     23     16     32     31     70     65
SRSO                55     43     23     37     76    100     69
SRSP                37     17     9      39     66     69     46
Sungi              100     13     9      28     50     85     84
TMFB                4     100    100     4      23    100    100
TRDP                64     27     15     40     49     98     80

DMUs               ABC3   ABC4   ABC12   ABC34   ABC1234

Akhuwat             52     22     61      52       61
Apna MF Bank        6      10     88      10       88
ASA Pakistan        99    100     100     100      100
Asasah              97    100     84      100      100
BRAC-PAK            52     57     93      57       93
Buksh Foundation    25     20     100     25       100
CSC                 47     62     92      62       92
CWCD                30     8      80      30       80
DAMEN               54     96     100     96       100
FFO                 67     71     76      71       76
FMFB--Pakistan      18     17     73      24       73
GBTI                1      33     56      33       56
JWS                 50     64     80      64       80
Kashf Bank          0      1      90       1       90
Kashf Foundation    91    100     90      100      100
Khushhali Bank      57     26     86      63       87
NRSP                6      60     100     65       100
NRSP Bank           23     7      82      23       82
Orangi             100     24     100     100      100
Orix Leasing        79    100     77      100      100
POMFB               12     6      50      12       50
PRSP                30     21     73      30       73
RCDS                51     62     83      62       83
SAFWCO              73     41     71      73       81
SRSO                70     93     100     93       100
SRSP               100     96     69      100      100
Sungi              100    100     85      100      100
TMFB                3      16     100     16       100
TRDP               100     77     98      100      100

Source: Authors own calculation.

Table 4

DEA Super Efficiency of MFIs Based on CCR Input Oriented Models

DMUs            A1     A2     A3     A4     B1     B2     B3     B4

Akhuwat         54     30     34     13     36     36     35     16
Apna MF BK      81     66     5      7      37     55     3      6
ASA Pakistan   117     89     82     88     54     90     69     87
Asasah          77     48     70     73     12     14     17     21
BRAC-PAK.       73     85     48     53     16     34     16     21
Buksh Found     60    112     24     19     3      10     2      2
CSC             61     77     28     35     19     45     14     20
CWCD            78     72     27     7      22     37     12     4
DAMEN           77     80     26     36     51     98     26     44
FFO             74     68     59     63     22     37     27     34
FMFB--Pak       39     47     8      5      29     64     9      6
GBTI            31     36     7      11     25     55     9      16
JWS             68     66     31     37     27     49     19     27
Kashf Bank      57     71     0      0      16     36     0      0
Kashf Found     81     71     63     68     40     65     48     62
Khushali Bk     61     51     27     9      32     49     22     9
NRSP            65     57     38     35     62    102     55     60
NRSP Bank       51     59     11     3      37     80     12     4
Orangi          65     29     42     5     157     82    119     14
Orix Leasing    60     48     39     41     39     59     40     49
POMFB           17     38     5      2      9      38     5      2
PRSP            27     47     17     10     23     72     22     15
RCDS            58     68     30     32     26     57     20     26
SAFWCO          63     55     47     26     34     55     39     25
SRSO            86     55     40     45     57     67     40     55
SRSP            66     40     80     75     18     20     33     37
Sungi           85     75    121    114     46     75     84    115
TMFB            53     64     1      4      32     72     1      4
TRDP            82     55     68     45     64     78     81     64

DMUs            C1     C2     C3     C4    ABC1   ABC2   ABC3   ABC4

Akhuwat         19     8      22     15     61     37     52     22
Apna MF BK      24     16     2      7      87     77     6      10
ASA Pakistan    21     16     32     62    117    111     99    108
Asasah          24     13     41     77     84     56     97    106
BRAC-PAK.       13     13     16     32     73     93     52     57
Buksh Found     10     13     7      10     60    112     25     20
CSC             27     28     23     52     70     92     47     62
CWCD            14     11     9      4      78     80     30     8
DAMEN           61     52     38     96    105    126     54     96
FFO             15     12     22     43     74     76     67     71
FMFB--Pak       44     44     17     17     58     73     18     17
GBTI            28     27     12     33     42     56     16     33
JWS             29     23     24     52     77     80     50     64
Kashf Bank      49     49     0      1      76     90     0      1
Kashf Found     26     19     38     74     88     83     91    104
Khushali Bk     61     41     50     31     83     65     57     26
NRSP            16     12     17     29     85    102     61     60
NRSP Bank       42     40     17     7      68     82     23     7
Orangi          84     31    189     21    181     84    209     24
Orix Leasing    44     29     53    104     77     60     79    108
POMFB           16     29     9      6      23     50     12     6
PRSP            13     18     15     15     34     73     30     21
RCDS            29     28     27     53     67     83     51     62
SAFWCO          23     16     32     31     70     65     73     41
SRSO            43     23     37     76    106     69     70     93
SRSP            17     9      39     66     69     46    107     96
Sungi           13     9      28     50     85     84    122    115
TMFB           120    192     4      23    100    136     3      16
TRDP            27     15     40     49     98     80    103     77

DMUs           ABC12   ABC34   ABC1234

Akhuwat         61      52        61
Apna MF BK      88      10        88
ASA Pakistan    121     108      121
Asasah          84      106      106
BRAC-PAK.       93      57        93
Buksh Found     112     25       112
CSC             92      62        92
CWCD            80      30        80
DAMEN           128     96       140
FFO             76      71        76
FMFB--Pak       73      24        73
GBTI            56      33        56
JWS             80      64        80
Kashf Bank      90       1        90
Kashf Found     90      104      104
Khushali Bk     86      63        87
NRSP            105     65       108
NRSP Bank       82      23        82
Orangi          181     209      217
Orix Leasing    77      120      120
POMFB           50      12        50
PRSP            73      30        73
RCDS            83      62        83
SAFWCO          71      73        81
SRSO            106     93       106
SRSP            69      107      107
Sungi           85      122      122
TMFB            136     16       136
TRDP            98      103      103

Source: Authors' own calculation.
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