Abstract
We examine the efficiency–outreach debate in the context of Indian microfinance institutions (MFIs). We employ the stochastic distance function approach for 75 MFIs during 2004–2011. We find that there are significant inefficiency effects but efficiency is improving over time. Among the determinants of inefficiency, average loan balance per borrower and number of women borrowers appear to improve efficiency. This suggests that the efficiency–outreach debate is more nuanced than that presented in the literature and depends on the way outreach is defined. Profitability, size and leverage seem to increase efficiency, whereas age of the MFI is associated with higher inefficiency.
Introduction
In developing countries, the reach of financial intermediaries is greater in urban areas and limited in rural or informal markets even though the latter comprise a vast segment of the economies. For instance, in India more than two-thirds of the population dwells in rural agglomerations with agriculture being the major occupation. Rajan (2014) points out that despite much financial inclusion efforts by policy makers, very few among the target population have been reached and huge potential of enabling factors such as technology is yet to be exploited. Socio-economic features of backward areas make it financially non-viable for banks to set up their branches among populations with low or nil incomes leading to financial exclusion (Kumar, 2012, 2013).
It is in this context that the role of microfinance institutions (MFIs) is important in rendering financial access to rural sections and near poor households. However, the literature on MFIs has pointed out that focus on financial sustainability may lead to dilution of outreach (Hermes & Lensink, 2011). The argument goes that the poor cannot be helped in the long run if the MFIs are not financially sustainable or efficient. However, the quest for efficiency may lead to a focus on wealthier clients and compromise on the outreach goals of MFIs—lending to the poor and women—a phenomenon known as ‘mission drift’ (Cull et al., 2007). Hermes, Lensink and Meesters (2011) examined the trade-off between efficiency and outreach by estimating efficiency of MFIs using stochastic frontier analysis (SFA). Using a cross-country sample of 435 MFIs, they found that there is a trade-off between efficiency and outreach whereby those institutions that have lower average loan size and lend more to women are less efficient. Cull et al. (2007) had reported similar findings. In this article, we analyse data from the world’s largest microfinance market, namely India, and study efficiency of Indian MFIs. Our main objectives are to estimate efficiency using the stochastic distance function approach (which has not been used before in this literature) and to analyse the determinants of efficiency. In doing so we try to ascertain whether there is a trade-off between efficiency and outreach (measured by average loan size and number of women borrowers).
MFIs have been successfully serving the poor in many transition economies. The Grameen Bank in Bangladesh as pioneered by Muhammad Yunushas served numerous rural poor with women being the major beneficiaries. It was set up on a joint liability principle in which a group of 5 to 10 members would jointly avail a loan and guarantee its repayment. Bank Rakyat Indonesia (BRI) is an example from Indonesia where it is one of the largest state-owned banks with an extensive branch network. BRI offers loans, voluntary savings products, fund transfer services as well as training and consulting services (Robinson, 2002). Examples of successful microfinance have been noted in Latin America. For example, BancoAdemi has been one of the Latin America’s first sustainable MFIs. BancoSol is a Bolivia based MFI that bases its lending methodology on individual credit technology with minimum profit orientation. Peru based Mibanco was created in 1998 with the objective of assisting small and micro-businesses. It targets markets where demand for micro-credit is highest and supply weakest (Fernando, 2004). India has been a relatively late entrant to the microfinance model but has now become the world’s largest microfinance market. As per reported information for the year 2013 (mixmarket.org), MFIs in India have disbursed loans to 31.3 million borrowers amounting USD 4.6 billion. Simultaneously, they have also mobilised savings of USD 36.4 million encompassing 50,116 depositors. Although the objectives and reach of MFIs in India have been reasonable, it is not without impediments. The absence of uniform regulation, over-indebtedness and poor operating procedures have contributed to failure and distress as observed in the Krishna crisis in Andhra Pradesh in 2010 where several MFIs collapsed after a period of rapid growth (Mader, 2013).
Efficiency can be studied by assessing how well a firm is able to utilise its resources to meet its output objectives. Consequently, we may define inefficiency as the extent by which a firm falls short in producing output vis-à-vis the most efficient firm in the same industry that uses the same level of inputs. There exists considerable literature analysing the efficiency of MFIs across the globe that can be classified into two groups as per the methodology employed to measure efficiency. One strand has applied the parametric approach of SFA, where MFIs are assumed to be producing a single output which becomes the dependent variable of the estimable production function (Hermes et al., 2011; Servin, Lensink, & van den Berg, 2012). A restriction of standard SFA methodology is that it is unable to handle more than one dependent variable. Other studies have employed the non-parametric and deterministic approach of data envelopment analysis (DEA) that is capable of handling multiple outputs (Haq Skully, & Pathan, 2010; Masood & Ahmad, 2010). However, DEA has the limitation of not being able to provide tests of significance of the efficiency estimates. The stochastic distance function approach strikes a compromise between the above two frequently used methods by incorporating multiple outputs in the production function and at the same time allowing tests of significance. 1 To the best of our knowledge, ours is the first study to analyse MFI efficiency by employing the stochastic distance function approach. Utilising an unbalanced panel of 75 MFIs from 2004 to 2011, our findings point to significant inefficiency effects that have fallen sharply over last few years. Among the determinants of inefficiency, we find that average loan balance per borrower, number of women borrowers, size and profitability appear to enhance MFI efficiency. On the other hand, age of the MFI is associated with lower efficiency.
This article makes several contributions to the microfinance literature. This is the first study to use the stochastic distance function approach to analyse MFIs which helps us to overcome the drawbacks of the much used SFA and DEA methods. Second, we estimate efficiency of MFIs based on a large panel data from India which is the largest microfinance market in the world. 2 Finally, we contribute to a key debate in the microfinance literature over efficiency versus outreach by pointing out that this trade-off is more nuanced than is usually perceived as the relationship between the two depends on the way outreach is measured. The remaining article is organised as follows. The database and variables are described in Section 2 followed by the econometric model and methodology discussed in Section 3. The results are reported in Section 4 with the concluding remarks and summary presented in Section 5.
Data Source and Key Variables
The information for the existing analysis is obtained from the publicly available Microfinance Information Exchange (MIX) Network. 3 It is a repository of comprehensive quality information on more than 2000 MFIs across the globe and has been used by many published studies such as Ahlin et al. (2011) and Tchakoute-Tchuigoua (2010). We used this website to gather a comprehensive panel of Indian MFIs. At the outset, we included only those MFIs that have quality audited information. As per MIX database such firms are ranked with at least four diamonds. 4 Such filtering is expected to provide a reliable dataset for valid analysis. The next stage comprises of setting the initial year of the panel. As the number of MFIs available from 2004 onwards improves significantly, we set 2004 as the initial year for the study. Thus, the final dataset is an unbalanced panel encompassing 75 MFIs from 2004 to 2011. The monetary variables as per MIX database are available in terms of US dollars. In order to interpret results in terms of local currency they are converted to Indian rupees and treated in real terms by deflating with the wholesale price index.
Next, we select the set of output and input variables. As per the production function approach (Benston, 1965), financial institutions are considered as providers of service to customers with physical variables, that is, labour, material, information system as the inputs and number of loan and deposit accounts as output. Alternately, the intermediation function approach (Berger & Humphrey, 1992) regards them as intermediaries between depositors and borrowers with operating and interest expenses as inputs, loans and other major assets count as outputs. The difference between the two approaches essentially boils down to whether or not deposits are considered as output. Since MFIs are essentially credit providers, the production approach, where deposits are output, may not be appropriate. Therefore, we follow the intermediation approach. MFIs have to cater to marginalised masses and at the same time take care of financial viability of the business. In such a scenario, the number of borrowers and amount lent along with financial revenues are important factors for consideration as output. Labour is an input along with expenses. Expenses characteristics are classified separately into operating (primarily on personnel, depreciation, administrative) and financial expense (such as interest and fee of associated liability).
To summarise, the output variables chosen are financial revenue (y1), gross loan portfolio (y2) and number of active borrowers (y3). The number of personnel (x1), operating expenses (x2) and financial expenses (x3) constitute the input variables. A wide array of factors has been selected as determinants of inefficiency. These include the key outreach variables of average loan balance per borrower and the number of active women borrowers. This is intended to capture the key missions of MFIs that is to lend to the poor (showing up as low ALB) and to women clients. We control for size of the MFI using asset size (AST). Natural logarithm transformation has been applied for all these variables. Return on assets (ROA) is included among determinants as a control for profitability. Debt equity ratio (DER) is included as a measure of leverage. Age is included as years of operation since the year of establishment of the MFI. It is expected to account for learning or performance improvement over the years through experience. Additionally, time trend has been included to capture possible time effects. Finally certain environmental aspects have been captured by dummy variables as explained below.
Although there is no uniform regulatory body for supervision of MFIs, there is some sector-specific regulation by the banking regulator the Reserve Bank of India (RBI) and local state governments. MIX database provides information whether a MFI is regulated or not. This dichotomous information is included as a possible efficiency determinant, namely, DUM (RGL) taking value unity in case the MFI is regulated and zero otherwise. Generally, MFIs operating in southern states are perceived to be more efficient. This hypothesis is tested by adding a dummy variable for MFIs whose primary location is southern states. The dummy variable DUM (LCN) takes the value unity for MFIs based in the southern states of Andhra Pradesh, Kerala, Karnataka and Tamil Nadu. The legal status of MFIs varies from non-banking financial institution, bank, credit union to NGO. On one side where banks are strictly regulated and are free to accept public deposits, services of NGOs are of a more limited nature, usually not including deposit taking and with no supervision by the RBI. Thus, it makes sense to control for NGOs vis-à-vis other financial agencies with the legal status dummy DUM (LS) equal to unity for NGOs and zero otherwise.
Model and Methodology
As explained earlier, we use the stochastic output distance function approach. According to Cuesta and Orea (2002), this approach has the advantage that it allows modelling of multiple outputs and multiple inputs without requiring price information, thereby making it adequate for analysis of financial services. The commonly used technique of SFA requires input price data for estimating cost frontier and output price data for estimating profit frontier. In the microfinance sector, output and input price data are either not available or not reliable due to absence of perfectly competitive market conditions. The other popular method is DEA which does not necessarily require price information. But DEA has the disadvantage that it does not allow for hypothesis testing unless a two-stage procedure is followed, and the two-stage procedure suffers from severe econometric problems (Simar & Wilson, 2007). The stochastic distance function approach is able to overcome the limitations of both SFA and DEA. It has been previously used to study efficiency in a number of industries such as banking (Das & Kumbhakar, 2012), agriculture (Irz & Thirtle, 2004) and hospitals (Ferrari, 2006). This is the first article that applies this methodology to estimate efficiency in the microfinance sector.
We follow Cuesta and Orea (2002) for the empirical specification. The general form of the stochastic output distance function is as follows:
where ϑit is the standard error term and ui is the inefficiency term following a half normal distribution such that uit = {exp[–η(t – T)]}ui.
Imposing linear homogeneity and using the translog function, we obtain the following estimable regression:
where
Here, yjit represents jth output of the ith MFI at the tth time point. The corresponding outputs for j = 1, 2, 3 are financial revenue (FR), gross loan portfolio (GLP) and number of active borrowers (NAB), respectively, with NAB arbitrarily chosen as numeraire to normalise outputs. Similarly, xkit (k = 1, 2, 3) denote inputs, viz., number of personnel (NP), operating expenses (OE) and financial expenses (FE), respectively; t is time trend used as the index of technology.
Since we are interested in analysing the determinants of inefficiency, we follow
Battese and Coelli (1995)
to specify the inefficiency component uit by truncation
(at zero) of
The vector of variables explaining inefficiency is depicted by zit; δ is the vector of parameters to be estimated and εit captures the standard noise term. The detailed inefficiency equation is specified as follows:
Here, average loan balance per borrower is captured by ALB it and the number of women borrowers by WB it . The variable t captures time trend and AST it controls for MFI asset size. Profitability is measured by ROA. Other MFI specific variables are the DER, years of operation of MFI (AGE) and finally the three MFI specific dummy variables for regulation, location and legal status.
Empirical Results
Before moving on to estimation results, a glance over the mean behaviour of pertinent variables is useful (see Table 1). Average AST swelled from USD 7.22 million per MFI in 2004 to USD 64.765 million in 2011, about a nine-fold increase over seven years. The mean size of loan portfolio per MFI has also marked consistent improvement from USD 6.213 million in 2004 to USD 57.057 million in 2011. The number of borrowers per MFI has increased six times for this period, from 55 thousand in 2004 to 367 thousand in 2011. Among the borrowers, WB have also shown marked improvement over time, albeit with a minor decline in 2011 compared to 2009. To supplement increased workload of MFIs, staff strength has grown over the years to slightly more than one thousand per MFI in 2011. Both performance measures ROA and Return on Equity (ROE) depict erratic behaviour with no clear trend. DER has fallen over the years from nearly 90 per cent in 2004 to 7 per cent in 2009 before reverting back to 29 per cent in 2011. Capital asset ratio improved from 18 per cent in 2004 to 25 per cent in 2011 except for 2007 when it slipped to 16 per cent.
Average Scores of Key Variables for Selected Years
Average Scores of Key Variables for Selected Years
The Frontier 4.1 statistical program has been employed to carry out maximum likelihood estimation of the stochastic distance frontier and inefficiency equation simultaneously in a single stage that is known to increase the efficiency of estimates (Coelli, 1996). We begin with estimation of a simple model where the distance function is as specified earlier but the inefficiency equation contains only the two key outreach variables of ALB and WB. The estimation results of translog distance function are provided in the top panel of Table 2. Foremost, it is crucial to examine if at all there exist significant inefficiency in MFI operations demanding frontier analysis. It may be noted that the variance parameter (γ) is significant at the 1 per cent level which implies that inefficiency effects are indeed playing a significant role.
Our interest is in the determinants of inefficiency shown in the lower panel of Table 2. ALB appears to have a strong negative impact on inefficiency with the t-statistic value being –3.052. This implies that those MFIs who lend more to large borrowers on an average are also the more efficient institutions. Therefore, lending to the relatively poorer (who are smaller borrowers) appears to reduce efficiency. This suggests that there is a trade-off between efficiency and outreach. This is similar to the finding of Hermes et al. (2011). Next, the coefficient of number of WB is negative and significant at the 1 per cent level. This indicates that lending to WB is associated with higher efficiency of the lending institutions. There exists contradictory evidence in the literature regarding the effect of women clients on MFI performance. Some studies suggest that since women have better repayment rates and lending to them may be less expensive it may improve MFI efficiency (e.g., Armendariz de Aghion & Morduch, 2005). However, Hermes et al. (2011) find evidence that MFIs that have more WB as clients are less efficient.
Our analysis suggests an inverse relationship between inefficiency and WB suggesting that WB in the Indian microfinance market are more reliable in repaying their obligations and thus enhance efficiency of MFIs. This suggests that there is no trade-off between efficiency and outreach if targeting WB is considered as a mission of MFIs. In that sense there is no ‘mission drift’ even for the most efficient institutions. The broad conclusion emerging from the evidence so far is that there is a need to nuance the sustainability–outreach or efficiency–outreach debate. The message we draw depends on the definition of outreach. Women empowerment is one of the key goals of MFI sector in countries like India where women suffer from lack of access to the labour market and face significant challenge in society. In this context, MFIs that are helping women get access to finance are able to do so without compromising on their financial sustainability. Therefore, the trade-off is non-existent in this respect.
Estimation of Stochastic Distance Function with Inefficiency Effects
Next, we repeat the above estimation with different combinations of the inefficiency equation. For the purpose of discussion we present only the inefficiency equation estimates from these different combinations and not the distance function estimates (see Table 3). Model 1 is the same as the simple inefficiency model in Table 1. Model 2 replaces number of WB with the percentage of WB. This is done to study whether the share of women among all the active borrowers is important. The coefficient is negative and significant at the 5 per cent level confirming that more efficient MFIs have higher share of WB among their clients. Model 3 incorporates time, size, profitability, leverage and age. The key results remain unchanged, that is, there is a trade-off when outreach is defined as lending to the poor (coefficient of ALB is –0.578 and significant at the 1 per cent level) but the trade-off disappears when it comes to lending to women (coefficient of WB is –0.249 and significant at the 1 per cent level). The coefficient of time is negative and significant indicating that average MFI efficiency is coming down over the years. This can be attributed to the fallout of the crisis in Andhra Pradesh and the industry has not fully recovered from the effects of the subsequent government action. Size is negative and significant which means that larger MFIs are more efficient suggesting the benefits of scale. Higher profitability and leverage are associated with higher efficiency as shown by the negative and significant coefficients of ROA and DER. Profitable MFIs are the ones that generate more loans and higher revenues while leverage helps MFIs fund their lending activities. The size and leverage results are similar to the findings of Masood and Ahmad (2010). AGE has a positive and significant coefficient suggesting that learning benefits are absent in the MFI sector and older MFIs are less efficient. This is consistent with the findings of Hermes et al. (2011). In model 4, when we replace number of WB with its percentage, we lose the significance of this variable and the coefficient of ALB surprisingly turns positive. The results for the control variables (except DER) go through.
Results from Estimation of Different Inefficiency Models
In model 5, we examine the possibility of non-linear effects in the way average loan size affects inefficiency. The coefficient of ALB appears to be positive while the coefficient of ALB-square is negative (both are statistically significant). This means there is a concave relationship between inefficiency and ALB indicating that there is a threshold level of average loan size up to which inefficiency would rise. However, beyond the threshold average loan size, inefficiency starts declining and efficiency increases. This can be explained by the fact that servicing small loans is costly for any financial institution and scale economies kick in only after the average loan per borrower is of a minimum value. The rest of the results are similar as before. In addition to non-linearity, we also study the role of environmental factors using three dummy variables. The only dummy that is statistically significant is the one for legal status indicating that NGOs are less inefficient than other types of MFIs probably because of the less stringent regulation faced by them unlike non-banking finance companies that are regulated by the RBI. The dummy variables for regulation and location do not seem to play a significant role in efficiency of MFIs. In model 6, we replace WB by the percentage of women among total borrowers and once again the coefficient is not statistically significant. However, the remaining results are similar as before. As robustness checks, we used alternative definitions of some of the variables (such as ROE for profitability, capital to asset ratio for leverage) but the results remain qualitatively unchanged.
Finally, we take a look at the average efficiency scores in the Indian MFI industry. The efficiency values are estimated based on model 6 (other models generate very similar results). Year-wise averages along with standard deviations are plotted in Figure 1. The mean efficiency stood at 0.03 in 2004 that substantially improved over the years to reach 0.31 in 2011. In spite of the improvement, the numbers indicate that there are significant inefficiencies present in the Indian MFI industry.
The average efficiency scores of top and bottom MFIs are tabulated in Table 4. FFSL is found to be the most efficient MFI among the lot. This MFI started operations in Andhra Pradesh but soon ventured into neighbouring states of Tamil Nadu and Karnataka. FFSL is followed by BASIX which was founded by Vijay Mahajan known as the pioneer of microfinance industry in India. BASIX has operations spread across 17 states in India. The next most efficient institutions are the Karnataka-based SKDRDP and the Rajasthan based Pustikar. The poor performing MFIs constitute the Tamil Nadu based CCFID and Disha that operates out of Uttar Pradesh and Uttaranchal.

Average Efficiency Scores: Best and Worst MFIs
MFIs are crucial in rendering basic banking services to underprivileged rural poor and empowering them (especially women) towards selfreliance. By virtue of micro-level operations, MFIs have the benefit of through assessment and close monitoring of individual/group behaviour unlike banks who service a much larger and heterogeneous population. Across the globe, MFIs have been operating with varying degrees of success and India has become the largest microfinance market in the world. In this context, we examine operating efficiency of MFIs in the Indian scenario. The study utilises stochastic distance function methodology to incorporate multiple outputs simultaneously for an unbalanced panel of 75 MFIs from 2004 to 2011. The methodology has the advantage that other than handling multiple outputs, it also allows testing of hypothesis. We find that indeed inefficiency effects are significant with declining trend for the last couple of years. ALB and WB have a significant effect on inefficiency. We find that while lending to poorer clients increases inefficiency, targeting the women among the clients enhances efficiency. This leads us to believe that the efficiency–outreach trade-off is more nuanced than that has been presented in the literature. Indian MFIs exhibit a trade-off when it comes to reaching out to the poor but there is no such trade-off when it comes to women empowerment.
It is clear that MFIs would strive to lend to women as it helps them to fulfil one of their missions without compromising on financial sustainability. However, lending to the poorer clients does not generate financial benefits. Zeller and Johansson (2006) argue that it is not necessarily a cause for concern. If MFIs strive for financial sustainability and hence lend to better off borrowers, they may end up helping poverty alleviation by improving economic conditions at the local and national levels. The effects of this economic growth would ultimately benefit the poor and thereby outweigh any neglect of the poor in loan disbursal. While this may well be true in the long run, greater efforts need to be simultaneously undertaken by the government to ensure that lending to the poor can also become an attractive proposition. This can be done by the policy makers by various ways such as providing discounted refinancing facilities for small size loans, helping the poor directly through cash transfers or by generating employment and entrepreneurship opportunities for the poor in the local communities.
