International Conference on Rural Finance Research: Moving Results into Policies and Practice FAO Headquarters Rome, Italy 19-21 March 2007 Access to Credit and Borrowing Behaviour of Rural Households in a Transition by Cuong H. Nguyen This paper was chosen through an open call for research in rural finance, whereby the selected individuals were invited to Rome, Italy, to share their results during the conference and to discuss key issues in shaping the rural finance research agenda as well as ways of strengthening the ties between research, policy and practice. Access to Credit and Borrowing Behaviour of Rural Households in a Transition Economy Cuong H. Nguyeny Centre for Economic Reform and Transformation Heriot-Watt University, Edinburgh, UK January 2007 Abstract This paper assesses the determinants of rural household credit activity using data from Vietnam. We pay particular attention to identifying the separate channels of credit demand and credit supply on the amount of credit obtained by households. Credit amount per capita in the commune that the household resides in and the distance from that commune to the nearest bank branch provide the identifying variation for credit supply. The health condition of household head helps to identify credit demand. To …nd the impacts of household characteristics on credit demand and supply, we estimate a bivariate probit with partial observability and a Heckman selection model. We …nd that there is uniform access to formal credit aross rural communes in Vietnam, although quantitative rationing does exist. The education level of household head seems to have inverse u-shape a¤ects on formal credit participation: the least and the most educated households borrow least. The problem of limited screening power and asymmetric information is revealed in the result that the further the distance from a commune to a bank branch, the less likely a formal bank will lend to residents of that commune. Prediction of formal credit demand is estimated reducing over the years suggesting lack of investment opportunity for rural households. With respect to policy implications, we suggest that the government could expand other programmes like job creation or vocational training, and could introduce a policy calling for more investment in far and distant rural areas. JEL classi…cation: O12; O16; O17 Keywords: rural credit; credit access; credit rationing Earlier versions of this paper was presented at the Annual Conference of the Scottish Graduate Programme in Economics 2006, the 3rd Leicester PhD Conference on Economics 2006; and the International Conference on Finance and Economics of Emerging Markets, Istanbul 2006. It has also won the Prize for the Best Paper at the 3rd Leicester PhD Conference on Economics. y I am grateful to Mark Scha¤er and Julian Fennema for their guidance throughout this research. I also bene…ted from useful comments by Gaia Garino and conference participants. Any remaining errors in the paper are mine. 1 1 Introduction The rural credit markets in developing countries are often described as repressed, imperfect, and fragmented. It is a common that segments of borrowers have di¤erent levels of access to certain types of loans and certain types of credit institutions (Ho¤ & Stiglitz 1990). In some markets, would-be borrowers may …nd themselves excluded or dissuaded from formal sector. Possible reasons for these constraints have been mentioned in various studies emphasizing the limited availability of formal credit, the riskiness and uncertainty of rural credit market, the problem of asymmetric information between lenders and rural borrowers, the weak enforcement system, and the poorly developed economic infrastructure (see e.g. (Ho¤, Braverman & Stiglitz 1993), (Aghion & Morduch 2005)). Formal credit applicants may then adjust by turning to substitute, but possibly more expensive …nancing sources or may modify their …rst best allocation plans in other ways . In contrast to formal …nance, informal …nance provides a much easier conditions to get loan. Borrowers and lenders often live in the same areas and easy to get to know each others. Lenders usually do not require any collateral or documents, they treat each other by informal laws. Borrowers are incentive to repay basing on the relationship and trust, or sometime borrowers are threatened to repay by violence. The di¤erence level of accessible to loan explains for the fact that informal money lenders still exist and even dominated the market in some places, although they are accused of taking their position to exploit the poor by charging high interest rate and short term loan, which is sometimes pushing borrowers to state of unable to repay (Aleem 1990) Interaction and relationship of rural credit market agents, credit behaviours of rural borrowers in the face of risk and uncertainty have been covered in a vast literature which could be listed endlessly, e.g. (Aghion & Morduch 2005), (Bardhan & Udry 1999), (Bell 1990), (Jain 1999), (Kochar 1997), (Morduch 1999), (Ray 1998), (Townsend 1995), and (Ho¤ et al. 1993). While the overlap with earlier studies in 2 methodology and general results is inevitable, the contribution of this paper is to provide more empirial evidences on determinants of rural household credit activity using data from a transitional economy Vietnam. We pay particular attention to identifying the separate channels of credit demand and credit supply on the amount of credit obtained by households. Credit amount per capita in the commune that the household resides in and the distance from that commune to the nearest bank branch provide the identifying variation for credit supply. The health condition of household head helps to identify credit demand. We employ a bivariate probit model with partial observability and a Heckman selection model to disentangle a¤ects of demand and supply. The results are somewhat interesting. We …nd an uniform access to formal credit aross rural communes in Vietnam, however quantitative rationing does exist. Predicted level of rationing is relatively high although it seems to decrease over years. The education level of household head appears to have inverse u-shape a¤ects on formal credit participation: the least and the most educated households borrow least. Distance to the nearest bank branch seems to reduce both accessibility and amount of credit received of rural residents. Prediction of formal credit demand is estimated to be large but decreased between the survey time suggesting lack of investment opportunity in rural areas. Structure of the paper is as follow. It …rst provides some general statistics of Vietnam rural credit markets, characteristics of lenders and borrowers as well as the credit attributions. Determinants of credit participation are analysed in section 4. Section 5 studies impacts of household characteristics on credit amount obtained. Conclusion and policy implications are presented in section 6. 3 2 The Data Data for this study is the Vietnam Living Standard Survey (VLSS) conducted in 1992/93 and 1997/98 by the General Statistical O¢ ce of the Government of Vietnam, funded by United Nation Development Programme (UNDP) and the World Bank. The surveys contain detailed information of 4,800 households from 150 communes in VLSS93 and 6,000 households from 194 communes in VLSS98. Samples were weighted basing on the statistics of Vietnam Population Census in 1989 with approximately 80% of Vietnamese households lived in rural areas. The communes were randomly selected from a total of proximately 10,000 communes in 646 districts, and 64 provinces and cities in Vietnam, and then an average of 30 households were randomly selected for interview in each commune. For the purpose of the paper, we select only households who are residing in rural areas at the time of the surveys, which are including 3839 households in 120 communes for VLSS93, and 4882 households in 150 communes for VLSS98. The two surveys are similar in many respects which provide data in both household and commune level. The household questionnaire was based on the format of the World Bank’s Living Standards Measurement Surveys with adaptation to Vietnamese characteristics. The surveys collected information of household as a whole and also information of individuals within that household, such as personal pro…le, education, health status, employment, agriculture production, consumption, credit and saving activities. The commune questionnaire was only applied to rural areas, collected basic data on commune geographical information, general economic conditions, transportation and infrastructure, and credit. For information on credit activities, households are asked to report whether they borrow any money from other individuals or organisations within the last 12 months, and details of loan they taken inluding source of loan, amount, duration, interest rate and collateral. General characteristics of households, household heads and communes are presented in table 1. 4 3 The Vietnam Rural Credit Market Similar to other developing countries, the Vietnam rural credit market is considered to be repressed, segmented and dual structured where formal and informal …nance exist side by side (see, for example, (Do & Iyer 2003), (Huong, Thai, Thao, Kovsted, Rand & Tarp 2002), (McCarty 2001)). The formal sector consists of the government’s commercial banks, private banks and other organised credit institutions, led by the Vietnam Bank for Agriculture and Rural Development (VBARD) and the Vietnam Bank for the Poor (restructured recently as Vietnam Bank for Social Policies). The informal …nancial network includes private money lenders, relatives, friends, and local rotating savings and credit associations. Until 1993, the rural market had been dominated by informal sector which accounted for more than 70 percent of the market share. However, parallel with economic reform and growth, there is a remarkably increasing role of formal sector. Over 5 years span between the two surveys, the formal credit expands steadily from 28 percent of market share in 1993, to 46 percent in 1998 (see table 4 and table 5), and 70 percent by 2001 (McCarty 2001). Facing hazard of limited information about loan applicants, one of the …rst solution for lenders is to require collateral for their loan (table 4, 5). However, it is not a surprise to observe a large discrepancy of collateral requirement between formal and informal lenders which is well analysed in the literature (see e.g. (Varghese 2005)). In 1998, about 70 percent of formal loans required collateral while only 3 percent of informal loans did so. The most usual forms of collateral are land ownership documents, house, …x assets or jewelry (table 6). A part from collateral requirement, formal sector seems to overcome informal sector in term of loan size, loan duration and interest rate. The average rate of interest charged by informal lenders in 1993 is 80% per annum which is double the rate of formal lenders (table 4). A similar interest rate is found by (Aleem 1990) in his study on Parkistan rural market. While there are noticable di¤erences between lenders, borrower and non-borrower 5 characteristics are quite similar (table 1). In general, borrowing household seems to be bigger in size, better in education of household head, and holding a larger land size. Most of borrowers are also working in agricultural production account for more than 60% of borrowing samples. 4 Determinants of Credit Market Participation As pointed out in the previous section, there are a massive movement of borrowers from informal to formal credit during 1993 to 1998. The expansion of formal credit sector is reported in both loan numbers and loan amount provided, and all sample communes are serviced by at least one formal credit institution. However, even in the case that formal credit is available to people of a commune, not everybody can borrow, or at least there are people cannot borrow as much as they would like to. If we assume that formal …nance is more desirable and most of people would choose formal …nance as their …rst priority when they demand investment capital, then the unsuccessful applicants could be considered as riskier or weaker (in some aspects such as poorer or not targeted) than successful applicants. The credit rationing mechanism and selection process of formal institutions will push those failed applicants back to informal source. This work is not an attempt to understand why formal credit institutions operate in some certain regions and not in others. It will, however, assess determination factors of household participation in credit market to learn the household and credit provider behaviour toward demand and supply of credit. The features of a transitional economy like Vietnam making our analysis particularly interesting because of the changing in economic environment and legal regulations over the time of the survey i.e. the Land Law that went to e¤ect by December 1993 which passed the …rst survey while well precede the second one. We expect these changes in the economic conditions will contribute to changes in credit behaviour of rural households. 6 4.1 The Model of Partial Observability Let Dij and Sij 1 , respectively, be latent variables of notional credit demand and credit supply of the household i in the commune j. Thus, the two variables will be expressed in a simpli…ed form as Dij = Hijd + uij (1) Sij = Hijs + vij where H d ; H s are the vectors of exogenous household and commune variables; and the coe¢ cients to be estimated; and u and v the normal distributed errors for demand and supply of household credit respectively. Set Dij and Sij as dummy variables of demand and supply of household credit, where Dij = 1 if Dij > 0 (2) = 0 if otherwise and Sij = 1 if Sij > 0 (3) = 0 if otherwise In case of perfect or full observation, we will be able to observe values of both demand and supply, and therefore observe the equilibrium of borrowing. Loan amount that a household acquire is simply the intersection of demand and supply line i.e. D = S: However, in our study, due to insu¢ cient information provided by the survey 1 Depending on the dependent variable of the equation to be analysed, we will understand D and S as demand and supply of formal credit, or informal credit, or simply credit regardless of source. In case of not being clearly stated, we should think of D and S as a general term of demand and supply of credit. 7 data, we observe neither D or S. Instead we observe the value of Bij ; which is the product of D and S; the dummy variable of credit participation2 Bij = 1 if household ij participates in a credit market (Dij = 1 and Sij = 1)(4) = 0 if otherwise (Dij = 0 or Sij = 0) In this simple model, following the literature ((Iqbal 1986), (Kochar 1997)), we assume that formal credit participation of a household solely determined by the formal institutions’s decision on access. In other words, households are all having demand for formal credit and those who appear having no credit activities are assumed being rationed out. The model turns into an analysis of credit supply and its results will generally inform us how much characteristics of household a¤ect its accessibility to formal credit markets. Hence, probability of being credit participant is represented by a single access equation and easily estimated following univariate probit model estimation Pr(access) = Pr(Bij = 1jHij ) = Pr(Sij = 1jHij ) = 0 + 1 Hij + "ij A possible reason for the popularity of this univariate probit model is its simpleness to implement and conformable results to theoretical predictions. However, the model su¤ers from substantial drawback due to its unrealistic assumptions on formal credit demand. In practice, non-borrowing household could simply have no credit demand rather than be denied by formal credit lenders. To relax the assumption on credit demand and address the problem of nonobservable credit demand and supply, we employ the model of partial observability. This model is …rst introduced by (Poirier 1980), and developed and applied in various empirical studies (see e.g. (Abowd & Farber 1982), (Feinstein 1989), and (Heywood 2 Generally, we de…ne B as household borrowing status. If we apply B by source of credit, then we should also interprete D and S by credit source accordingly. 8 & Mohanty 1995)). Following the structure speci…ed in equations 1, 2, 3, and 4, credit participation status (B: = 1) is only observed when there exist both demand and supply (S: = 1 & D: = 1). The last three combinations of S:and D: (S: = 0 or D: = 0) are indistinguishable since we only learn that there is no credit activity (i.e. B: = 0):According to Poirier (1980), the probability distribution of B:is driven by a bivariate process representing binary choice of credit demander and supplier concerning the level of observability of D: and S: Pr(Bij = 1) = Pr(Dij = 1; Sij = 1) (5) (6) = Pr(Dij > 0; Sij > 0) = Pr(Hijd + uij > 0; Hijs + vij > 0) = Pr( Hijd < uij ; = 1 F ( Hijd ; Hijs < vij ) Hijs ) = F (Hijd ; Hijs ; ) and Pr(Bij = 0) = Pr(Dij = 0 or Sij = 0) (7) = 1 Pr(Dij = 1 & Sij = 1) (8) = 1 F (Hijd ; Hijs ; ) (9) We then obtain the log likelihood function3 as 3 The di¤erence between full and partial observability likelihood function is in its information matrix where the former has four observable outcomes of S. and D., and the later has only two. Full observability information matrix: ' = S0 D0 + S1 D0 + S1 D0 + S1 D1 Partial observability information matrix: ' = B0 B1 9 Log L( ; ; ) = n X Bij ln(F (Hijd ; Hijs ; )) + (1 Bij ) ln(1 F (Hijd ; Hijs ; )) (10) where is the correlation between uij and vij ; F (:) denotes the bivariate standard normal distribution. 4.2 Identi…cation and Variable Selection The identi…cation criteria for Poirier’s model is relatively weak. Under the general principle (Rothenberg 1971), and as details in (Poirier 1980), the partially observed bivariate probit models will be (locally) identi…ed i¤ the information matrix corresponding to 10 is non-singular. In other words, we need to distinguish demand from supply equation, i.e. at least one variable included in the explanatory variable sets of demand or supply equation (either Hijd or Hijs ) but not in both. The identi…cation variable sometimes simply stems from the method of sampling involved or from exogenous facts a¤ecting one of the two equations. For example, variation in rain fall across regions is often used as instrument for credit demand as lower rain fall level leading to less agricultural production activities and hence lower demand for investment credit (e.g. (Kochar 1997)) In our study, the credit demand for formal and informal sectors is identi…ed by a proxy variable measuring number of illness days of household head and his/her spouse in four weeks before the time of the survey. As mentioned, informal sector is the main source of consumption credit while formal sector remains as investment capital provider. It is likely that facing health problem and sudden money require, households will initially search informal source for consumption borrowing and in the mean time having less demand for investment credit. In addition, health condition is often not observable by formal lenders hence plays no important role in credit supply decision. 10 More di¢ cult, however, is the identi…cation of the formal credit supply equation 1. There are a number of variables have been used in literature which are argued that having no impact on demand but on supply side, such as household’s land holding size which formal institutions used as eligible criteria to lend (see e.g. (Khandker 2005), (Pitt & Khandker 1998)), or weather condition in the studied regions (see e.g. (Kochar 1997)). The VLSSs contain questions on land holding size of each sample household, however there is no evidence that formal institutions will solely base on this information to decide whether to lend to a household or use this information as eligible condition. Hence, it is not possible for us to use this variable as identi…cation. Fortunately, data at commune level provides measure of distance from the nearest formal institution’s branch to the commune’s committee. This variable highly a¤ects bank’s ability to observe household’s behaviours and screening process. Consequently, the further distance from household’s commune is, the more unwilling bank would like to lend to households in that commune. In other word, distance and formal credit supply are negatively correlated while distance and demand present no relation. This allow us to employ distance variable as identi…cation in the supply equation. Unfortunately, this measure is only available in the VLSS98 but not in the VLSS93. In addition, another possible identi…cation measure is commune credit per capita which is proxy for the availability of formal funds. This variable is exogenous to demand of credit from household but could be in‡uent on supply decision. Banks and formal institutions may know more about the commune with high amount of formal credit already lent there and as a result, it could be easier for applicants from that commune to obtain formal credit. Besides the identi…cation variables, Hijs and Hijd contain other information on household and commune characteristics. In common with other studies on rural credit markets (see e.g. (Bell, Srinivasan & Udry 1997), (Udry 1990), (Siamwalla, Pinthong, Poapongsakorn, Satsanguan, Nettayarak, Mingmaneenakin & Tubpun 11 1990)), exogenous variables expected to have impact on credit participation of rural household includes gender of household head, age, household size, education level, house value, employment area, and land holding size. Other variables of commune and loan characteristics consist of geographical dummy, average interest rate charged by credit sectors in the region. 4.3 Estimation Results The results from the univariate probit model estimation are reported in table 8. For formal sector, household size and rate of working adults are found to have large positive and signi…cant a¤ects on credit participation in both surveys. Given the employment nature in rural Vietnam where agricultural production dominated, more labour available in a house is clearly an advantage as agriculture projects are easier to form and implement. Without hiring extra labour, small family does not have motivation and capacity to expand the family business conducing to a less credit demand and then credit participation. Age of household head plays important role in formal credit access. The inclusion of age_square in the regression reveals signi…cant and negative coe¢ cients which imply that middle age household heads (aged 33 to 41 in VLSS93 and VLSS98 respectively) most likely to obtain loan from formal institutions. Household head being male signi…cantly increases probability of receiving formal loan in 1993 while this impact disappears in the second survey. Household working in agriculture production is found signi…cantly correlated to borrowing from formal source in VLSS98 while its coe¢ cients in VLSS93 are positive but nonsigni…cant. This result re‡ects the course of economic development, decollectivization of agriculture and a major change in land regulation in 1993 which eventually create more incentives for households to invest and improve their living conditions. Land holding size and house ownership are also found to have positive impacts. 12 While education level of household head does not in‡uent formal credit access in VLSS93, it shows inverse u-shape impacts in VLSS98. Household heads with secondary school education appear to borrow more frequent than household heads with college or university education, or household heads with very low or no education. A possible reasons for this relationship is that high education helps head of households easier to …nd paid job and then do not have to work in farm or small self-business. Hence, demand for credit is reduced. For those who never attend school or have little education, it simply harder for them to get their loan application approved. Formal banks are more likely to refuse applicants without appropriate level of education, being literate to …ll application form at least. Finally, we …nd no signi…cant correlation between formal borrowing activities and distance to the nearest bank branches. Further more, in the 1998 survey, when asked to report main formal credit institutions operating in the commune, every commune is able to name at least one. Also, formal borrowers are found in all communes included in the sample. These evidences together suggest an uniform access to formal credit at the commune level in rural Vietnam. The results for informal sector are not-surprisingly di¤erent. The coe¢ cients on age of household head, education, gender, agricultural work, house owner and land holding size are all found not signi…cant. Commune credit per capita, however, signi…cantly reduce informal credit activities in VLSS98. This is in line with other study results (see e.g. (Jain 1999)) and our previous observation of increasing roles of formal sector and crowding out of informal sector in rural credit markets. Results on health condition of household heads con…rm our prediction on behaviours of agents in informal markets. Poor health condition seems to push household toward informal sector who is able to provide quick disbursement and consumption loans. The second model of partial observability bivariate probit generalises the univariate probit by relaxing the assumption that all households have positive demand 13 for credit. The probability of participation is now jointly determined by household’s demand for credit and lender’s decision on access. Estimates of this model are reported in table ?? and table 9, which only apply to formal sector. The separation of demand and supply equation provides a mixture results. While estimates using VLSS93 show no major di¤erence between the two models except the signi…cant impact of education level on credit demand, results using VLSS98 yield considerable di¤erences in the access equation comparing to results from univariate probit. First, the signi…cant levels of variables used by formal institutions to make supply decision di¤ers noticeably from those used by households to determine credit demand. While most of coe¢ cients are signi…cant in supply equation, notably maritial status, agricultural employment, house owner and land holding size, only rate of working adult and health condition of household head have signi…cant coe¢ cients in the demand side. These di¤erences suggest a gap between real demand and supply of credit and there are households self-rationed out of the formal markets. The model identi…cation variables perform well as expected. Health condition of household head signi…cantly decreases demand for formal credit. On the supply side, credit per capita spurs formal sector accessibility while distance signi…cantly reduces supply. Finally, a major di¤erence of the two models is in their predictions of the extent of formal credit rationing and formal credit demand. Relaxing the assumption of all household demanding credit applied in univariate model, the bivariate model estimates the probability of a household demanding formal credit at 81.66% in 1993 (table ??) and 57.63% in 1998 (table 9), and probability of access relatively low at 30.72% and 39.75%. The separate predictions of demand and supply equations suggest that access for formal sector do not meet demand for formal credit in both years of the surveys, although there is improvement in probability of access in the later year. Particularly, the probability of participating in formal credit sector, given by 14 joint probability of demand and supply, are 29.81% and 66.62% in 1993 and 1998 respectively. In other words, there is a large reduction of credit rationing from 76.59% to 33.38% between the two surveys time span. The results imply expansion and development of formal sector which improve formal credit accessibility for rural households. Of households that demand formal credit, majority obtain loans in 1998. While credit rationing still exists, the rationing rate is not as high as 79.23% in 1993 and 64.16% in 1998 as suggested by univariate model. The reason for this discrepancy lies in assumption and prediction of formal credit demand. The reduction of formal credit demand and low level of accessibility suggest important policy implications. First, the decreased demand of formal credit among rural population from 1993 to 1998 re‡ects limitted investment opportunity and strong competition of informal sector. This problem is also highlighted in recent micro…nance studies(see e.g. (Aghion & Morduch 2005)) which point out that credit is not the …nal and more certainly not the only solution to help people in rural areas of developing countries out of poverty. Hence, beside expanding formal sector to provide cheaper and more ‡exible credit, or to extent the out reach of …nancial services, governments in developing countries should continue to improve the economic infrastructure, health and education system, and most importantly the economic and legal system. For example, land reform which consoles land rights (i.e. holding, trading, exchanging, collateralising) may signi…cantly increase household’s investment incentives and demand for credit (see e.g. (Do & Iyer 2003), (de Soto 2000)). 5 Determinants of Credit Amount Obtains Thus far, the focus has been on the determinant factors of overall probability of credit market participation of rural households. In what follows, the focus will be on the determinant factors of credit amount obtains. The VLSSs provide data on every separate loans that a household held in the reference years including loans 15 with di¤erent lenders and di¤erent loans with the same lender. Hence the amount of loan that a household received from the same source of credit could be derived. Assume that a lender’s decisions on supply of di¤erent loans to the same household are homogenous, then household characteristics will be judged identically on every loan application and sum of loan amount obtained from the same lender could be considered as one loan amount. Therefore, the unit of observation here is a loan amount from each source of credit. Every household will only appear once in the dataset whether it does not borrow, or borrow only one loan from one source, or borrow more than one loan from more than one source of credit. Depending on source of credit, a household may appear as non-formal borrower even though it does take credit from informal source, and vice versa. Until now, all types of lenders from the same sector are considered as homogenous and hence they will act in the same way considering characteristics of credit applicants. The reason for studying the determinants of loan amount obtains is due to the fact that not every household could be able to borrow as much as they want to or in other words there is a high possibility of quantitative credit rationing (Petrick 2005). In the previous section, the analysis has been on credit access/participation of households which is referring to complete rationing where some households could not borrow even the smallest loan amount. Those models do not aim to and also are not able to explain what factor causing the di¤erences in loan size that households had. The variation of average loan size by lenders can be found in table 4 and table 5. For both reference years, loan size from government banks and relatives are respectively higher than average of formal and informal sectors, and the loan size actually increase more than three times for the 5 years gap between the two surveys. These increases however are not likely equally distributed among borrowers. Hence, the following analysis contributes to build up a broader picture of relationship between lenders and borrowers in rural credit market. 16 5.1 Econometric Framework The framework for our analysis of determinant factors of household’s borrowing amount is the models of limited dependent variables, which …rst introduced by the pioneering work of Tobin (1958)4 . Since 1970s, the Tobit model has become a regularly applied model in various areas of economics due to the advance of computational capacity and technology as well as the increased availability of microdata. An excellent literature review of theoretical development and empirical application of Tobit and its generalisations models are provided in (Amamiya 1984). Following the literature, our model is set up as below Let Lij be the loan amount that household i in the commune j received by the time of the survey, and as mentioned, this is a sum of all loan amount from the same source. One will observe that Lij > 0 if household is a borrower and Lij = 0 if not. The loan amount Lij is determined by households and regional characteristics which can be expressed as Lij = Hij + "ij if Hij + "ij > 0 (11) = 0 otherwise where Hij is the vector of household and regional characteristics, the vector of coe¢ cients to be estimated and "ij the residual. "ij is assumed to be normally and independently distributed. The censoring feature of Lij destroys the assumption of linear relationships between the loan amount obtained by household and its characteristics so that the linear OLS regression is inappropriate. However, applying maximum likelihood estimation, the Tobit model can consistently derive the vector of ^ for the loan amount 4 The model used in (Tobin 1958) and its generalisations are popularly known among economists as the Tobit models 17 equation 11 5 . On the basis of signi…cance and potential contribution to the model’s performance, the following covariates are included in the vector Hij : gender of household head, age, marital status, household size, rate of working adult, education, dummy for agriculture employment, dummy for house owner, size of agricultural land holding, number of illness day of the most two important members, distance from commune to the nearest bank branch, and credit per capita in commune. The results of Tobit model estimation will be presented in the next section ??. Although the Tobit model has been popular in empirical economic research to solve problem of censored data, it still faces limitations. As noted by (Cragg 1971), among others, the standard Tobit speci…cation is quite restrictive because it imposes that both participation decision and decision concerning the size of the loan depend on the same factors. In other words, household could borrow as much as they want and money lenders always provide credit if there is demand. In addition, the Tobit model considers zero observation of Lij as an equilibrium and in its speci…ed world, rationing in the credit market does not exist. These assumptions unlikely re‡ect the facts in real world. In further details, the standard Tobit model speci…ed in equation 11 is likely to su¤er from sample selection bias due to non-random decision of household to participate in credit market. In that case, characteristics of borrowing households are systematically di¤erent from non-borrowing households’and Tobit estimations result in biases. In addition, given the participation decision, households have to face accessible constraints from credit suppliers. A non-borrowing households may actually want to acquire credit but have been rejected or ceiled by lenders. If loan amount that a borrower received is again non-random, the Tobit estimates are biased and further correction need to be applied (Maddala 1983). This problem of selection 5 The standard Y likelihood function Y for the Tobit model (Type 1 model as called by (Amamiya 1 1984)) is: L = [1 (Hij = )] [(Lij Hij )= ] where and are the distribution and 0 1 density function respectively of the standard normal variable. 18 is commonly addressed by applying the Heckman model which employs an additional regressor to correct for bias in the participation decision (Heckman 1979). Following the logic of Heckman selection model (Heckman 1979), a household musts pass a participation hurdle before he is observed with positive loan amount. The reduced forms of participation and credit amount equations are described as follow Pij = Hijp + uij Pij = (12) 1 if Pij > 0 0 if Pij 0 and the credit amount equation Lij = Hij + "ij if Pij = 1 (13) = 0 if otherwise where Pij is latent variable, Pij and Lij the dependent variables, Hijp and Hij the vectors of characteristics, and the coe¢ cients to be estimated, and uij and "ij the error terms for participation and credit amount obtained respectively (uij ~N (0; 1); corr(uij ; "ij ) = " ). "ij is assumed to be normally distributed but E("ij ) 6= 0 because of the truncation in Lij 6 : Pij = 1 and Pij = 0 indicate credit market participation and non-participation respectively. Clearly, a positive loan amount is only observed if Pij = 1: Given the above structure, there are two distinguished cases. First, assume that participation decision and loan amount obtained by households are independent, i.e. u" = 0; then the selection or participation process do not have e¤ect on the 6 As discussed in (Wooldridge 2002), Section 17.4.1., the Heckman two-step estimation requires a weaker assumption on the distribution of u and ": For MLE, we need to assume that (u; ")~N (0; 0; 2u ; 2" ; u" ) 19 outcome equation of credit amount, or in other words, there is no sample selection problem. Hence, can be consistently estimated by OLS using the selected sample. However, any correlation between the two errors, i.e. u" 6= 0, will make the regression results in bias and we need to take account of selection7 . (Heckman 1979) suggests a two-step procedure to estimate this model. In the …rst step, the probit equation (selection) 12 is estimated by MLE and sample selection correction term is constructed. For each observation in the selected sample, we compute bij = p (Hij ^) p (Hij ^) (the inverse Mills ratio). In the second step, 13 is then estimated by OLS including the correction term bij as an additional regressor. The loan amount equation 13 can now be re-written as E(Lij jHij ; Pij = 1) = Hij + 5.2 ^ u u" ij (14) Estimation Results While there is no identi…cation required for the Tobit model, it is important to discuss the identi…cation strategy for the Heckman model. In theory, the Heckman selection model is formally identi…ed even if no exclusion restrictions applied, i.e. Hij Hijp ; due to the non-linearity of the inverse Mills ratio. However, this identi…- cation bases on distributional assumptions on the error terms rather than variation in the explanatory variables. It often results in collinearity between the estimated inverse Mills ratio and the covariates in the outcome equation which will essentially lead to large standard errors. This problem is well presented in literature (see, for example, (Wooldridge 2002)) and the common solution is to introduce at least one instrument variable which identi…es the selection equation from the outcome equation, i.e. the variable that independent with explanatory variables, and a¤ects selection process but not the outcome. As discussed in the previous section (see ??), we have several options for in7 In other words, u and " are assumed to be bivariate normally distributed 20 struments. The foremost to mention is the variable capturing distance from the commune that a household resides in to the nearest formal bank branch. This variable is obviously exogenous to household and commune characteristics that a¤ect the credit demand of a household. However distance could be important for banks to decide whether to agree on supply of credit due to problem of screening and high lending cost. However, in addition to the a¤ect on formal credit access possibility, distance can also a¤ect the amount that formal banks willing to lend to a household. The correlation between distance and outcome of loan amount obtained is expected to be negative i.e. the further distance a household resides from a formal bank, the smaller loan he receives. Hence, distance should be contained in both participation selection and loan size outcome equations. The variable of health condition and commune credit per capita are other feasible options. Due to limited observation and asymmetric information about characteristics of loan applicants, formal banks cannot observe health status of household members applying for credit and cannot use this unobserved information for its decision on credit supply. Loan amount that a household received is, therefore, will not be a¤ected by its head’s health status. However, it is reasonable to argue that household head with bad health condition will not seek for formal credit to expand production. Consequently, bad health condition has negative impacts on demand for formal loan and then on formal credit participation. Similarly, variable captured commune credit per capita is independent with household demand for credit but well associates with formal credit accessibility of households residing in that commune. In other words, the higher commune credit per capita the higher formal credit accessibility for its residents. The results of the Tobit and the Heckman selection models are reported in table 10 and table 11 respectively. The Tobit model is applied on both formal and informal loans while Heckman model only for formal sector. Generally, Tobit results for the two surveys on formal credit are quite similar, 21 with some exceptions. Age of household head, household size, and working adult rate are found to increase loan amount that household received in both years. It is not a surprise to see the signi…cant and positive impacts of land holding size, although house ownership and working in agriculture only signi…cant in 1998. This is in line with the stylised facts of increasing collateral requirements from formal credit institutions which are mostly …xed assets (see table 6). The distance variable is again prove to negatively and signi…cantly correlate with formal credit activities. In this case, the further distance from household to bank branch, the less loan amount that household receives. From demand side, households face higher transaction cost e.g. travelling time to formal branch and expenses, hence formal credit demand would also decrease. For the informal sector, the most notable results are coe¢ cents of credit per capita and househol-head’s health condition. While the latter variable operates as expected to increase informal loan amount, the former variable is found to significantly reduce loan size that informal borrower obtained. This result highlights competition pressure of formal sector development on informal lenders. Also, better access to formal credit allows household to acquire larger amount investment capital from cheaper formal source leaving smaller amount consumption loan (but quicker dispensation) for informal source. This contributes to the segmentation characteristic of rural credit market. The Heckman model estimation results are in table 11. Both for VLSS93 and VLSS98 the signi…cant of ^ and the well di¤erent from zero of rho suggest that correction for participation selection is indeed necessary. The results, however, are quite similar to the Tobit except that there is noticeable change in the signi…cant level and magnitude of coe¢ cients. For VLSS93, while household size remains almost the same positive impacts as in previous estimates, land holding size becomes non-signi…cant. In VLSS98, distance from bank branch continues to be signi…cant constraint for formal credit participation and amount of loan household obtains. 22 Although working in agriculture still plays signi…cant role in formal credit participation as in the Tobit model, it does not help to increase loan size with Heckman model estimate. The coe¢ cient of impact plunge down implying the less important role of agricultural employment. 6 Conclusion and Policy Implications The empirical analysis of this paper has drawn an overview picture of Vietnam rural credit market during the period from 1993 to 1998. It highlights characterisitcs and interactions of formal and informal sectors; characteristics of borrowers; and its impacts on credit participation and credit amount obtained. The employed econometric models view probability of participating in credit markets and credit amount received as a joint determination of the function of household’s demand for credit and the function of lender’s decision on supply. Estimation results imply that education, health condition, …xed assets holding and distance from household to formal bank branch are among the most important factors a¤ecting household’s credit activities. In addition, there is evidence of uniform accessibility to formal sector across communes although level of credit rationing is found to be signi…cant. Rather than solely concentrate on the structural interpretations of the estimated coe¢ cients, we would like to draw attention to the prediction of the models, particularly the estimates of the probability of demand and supply of formal credit. The estimates of both univariate probit model and bivariate probit model with partial observability suggest a low participation probability. The high demand for formal credit in 1993 is turn out to be high level of credit rationing due to limitation of formal credit access. The improved formal access in 1998 however is anticipated by the reduction of formal demand. Given this result, the role of formal credit in supporting rural development may be limited. This is also suggested by other researches (see e.g. (Bell et al. 1997), (Kochar 1997)) 23 The results of this paper imply some important policy implications. First, even though formal credit network continues to expand greatly to cover most rural areas, there is question on the outreach and ‡exibility of credit services. Credit scoring system should be developed to reduce collaterals requirement which actually considered as one of the most constraints for formal credit access. Land regulations and …xed asset legal entitlement should be reviewed together with improvement of administration e¢ ciency to enable households to use their …xed property as collateral for credit. 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(2002), Econometric Analysis of Cross Section and Panel Data, The MIT Press. 27 A Figures and Tables 28 29 Table 1: General household characteristics VLSS93 VLSS98 Borrower All Borrower All Male head of household (Male=1) .79 .77 .80 .76 Age 43.07 44.85 45.24 47.52 Marrital status (Married = 1) .84 .82 .85 .82 Household size 5.22 4.97 5.13 4.81 Education level 1.32 1.33 3.21 3.14 Years in school 6.89 6.64 Work in agriculture (Yes=1) .83 .82 .72 .69 House ownership (Yes=1) .97 .96 .97 .96 House area (m2) 59.59 61.85 67.56 69.67 House value (VND mil.) 7.25 7.82 27.17 24.53 Annual-crop-land holding size (m2) 953.05 918.78 2657.28 2447.98 Commune’s nonfarm employment (Yes=1) .44 .46 .57 .59 Total consumption (VND mil.) 5.48 5.35 11.91 11.76 Consumption per capita (VND mil.) 1.07 1.12 2.42 2.59 N 1985 (51.71%) 3839 2584 (52.95%) 4882 Note: (1) Education highest diploma ranging from 1-6 including pre-school, primary school, lower secondary school, upper secondary school, vocational training, university. (2) House ownership: 1=whole property, 2=part of property, 3=rent. (3) Number of loans are calculated as average among borrowing households only (n=2585). The land holding size is calculation of land for agricultural production purpose only. Standard deviations are in parentheses. Variable Table 2: Distribution of borrowers by region Region Coastal Inland Delta Hills/Midlands Low Mountains High Mountains N a) As percentage of total Formal sourcea Informal sourcea 6.82 9.09 47.72 51.57 6.42 7.41 21.40 18.87 17.64 13.06 1,729 1,309 borrowing households from the same source Table 3: Distribution of borrowing households by emplyment of household head Employment All samplea Formal Borrowersb Informal Borrowersb Working in Agriculture 63.83 70.34 64.14 Self employment 13.62 11.61 14.63 Paid employment 13.05 11.90 13.65 Unemployed 9.50 6.15 7.58 N 4,883 1,740 1,319 a) As percentage of total borrowing households. b) As percentage of total borrowing households from the same source 30 31 a b VLSS93 Loan number Loan amount Loan durationc Interest rated Colaterale Formal source 28.17 1260.41 9.21 (14.22) 40.36 (10.40) 58.96 (26.01) - Bank for the poor - Other government banks 57.53 1482.71 6.98 39.51 77.8 - Private banks 14.77 1118.07 9.87 63.27 4.09 - Other credit organisations 27.70 875.45 16.98 29.93 49.06 Informal source 71.83 1402.72 10.72 (13.14) 90.83 (17.63) 4.04 (3.98) - Money lenders 22.14 1371.09 8.54 108.35 9.52 - Relatives 50.68 1768.30 13.33 73.43 .24 - ROSCA - Other individuals 27.18 746.73 8.84 108.99 6.68 a) As percentage of total loan number; b) Loan amount in thounsand VND; c) Loan duration measured in month; d) Interest rate is average P Lr annual interest rate (%) weighted by loan amount aross households borrowing from the same source: r = P Li i i ; e) As percentage of total loan amount. Standard deviation in parentheses Variable Table 4: Mean characteristics of loan by source 32 a VLSS98 Loan number Loan amount Loan duration Interest rate Colateral Formal source 46.31 4335.75 18.40 (17.42) 13.76(3.15) 68.19 - Bank for the poor 15.6 1926.48 21.98 12.84 48.61 - Other government banks 60.97 5319.33 16.55 15.13 90.43 - Private banks .29 1391.04 18.67 20.97 30.61 - Other credit organisations 23.14 3391.69 21.39 10.67 23.23 Informal source 53.69 4004.18 9.58 (14.12) 36.90(14.2) 3.74 - Money lenders 18.81 3536.41 9.57 46.2 9.04 - Relatives 43.17 3778.66 11.32 27.93 2.71 - ROSCA 1.15 2095.92 18.27 150.82 0.00 - Other individuals 36.87 4566.42 7.92 38.09 2.35 a) As percentage of total loan number; b) Loan amount in thounsand VND; c) Loan duration measured in month; d) Interest rate is average P Li ri P ; e) As percentage of total annual interest rate (%) weighted by loan amount aross households borrowing from the same source: r = Li loan amount. Standard deviation in parentheses Variable Table 5: Mean characteristics of loan by source Table 6: Distribution of collateralised loan by collateral assets - VLSS 1997/98 Variable Land House Furniture/Fixed-assets Formal source 58.59 31.64 4.77 - Bank for the poor 44.81 42.21 10.39 - Other government banks 62.20 27.87 4.05 - Private banks 100.00 - Other credit organisations 45.31 50.00 3.91 Informal source 8.02 90.38 1.60 - Money lenders 29.17 68.75 2.08 - Relatives 3.77 95.60 0.63 - ROSCA - Other individuals 4.95 92.08 2.97 Note: All numbers are percentage 33 Others 5.00 2.60 5.88 0.78 - - 34 Variable VLSS93a VLSS98a Investment Consumptionb Relend Investment Consumptionb F ormal source 71.24 28.67 .09 79.15 20.80 - Bank for the poor 74.31 25.69 - Other government banks 86.24 13.59 .17 83.57 16.35 - Private banks 51.63 48.37 50.00 50.00 - Other credit organisations 50.52 49.48 71.13 28.87 Inf ormal source 43.45 56.32 .23 40.16 59.59 - Money lenders 59.83 39.49 .68 60.83 39.17 - Relatives 37.57 62.36 .07 27.93 71.69 - ROSCA 35.71 64.29 - Other individuals 41.09 58.77 .14 44.08 55.69 Note: a) Numbers are in percentage; b) Including repay other loan Table 7: Distribution of loan by bowworing purpose Relend .05 .08 .25 .38 .22 Table 8: Probit result - VLSS98 Variables VLSS93 VLSS98 Formal Informal Formal Informal Gender .15* .02 .03 .06 Age .02* -.01 .04*** -.02 Age^2 -.03** .00 -.05*** .003 Marritial status -.09 -.13* .04 -.11 Household size .04*** .06*** .09*** .05*** Working adult rate .21** .17** .18** .12* Education level .02 -.03 .03 -.04 Schooling year .04* .01 Schooling year square -.003*** .00 Farm .09 .05 .26*** -.04 House owner .17 .21* .33*** -.05 Land-holding-size .07** -.02 .01** -.002 Health status .01* .01** .003 .014*** Credit per capita .11 -.22 0.14** -.20*** Distance -.003 -.000 Pr(participation) .2077 .3932 .3584 .2694 N 3839 4724 Results with robust standard errors adjusted for intracommune correlation. * signi…cant at 10 percent, ** signi…cant at 5 percent, *** signi…cant at 1 percent. 35 Table 9: Partial Observability Bivariate Probit - VLSS98 Variable Demand Coe¢ cient -.43 -.06 -.11 .12** .34*** Standard Error .28*** -.00 .02 .41*** .07* Supply Coe¢ cient .02 .02 -.13 1.10*** -.05 .002 .07 .37 -.01 -.002 -.01* Standard Error .04 .05*** .25*** -.35 .07** -.005*** .19*** .29** .05*** .01 .25*** -.01*** -2.45*** Gender Age Maritial Status Working adult rate Schooling year Schooling year square Farm .74** .03 House owner Land-holding-size .24** .31*** Commune population .04*** .003*** Health status .03** Credit per capita .79*** Distance Constant -2.34*** -2.31*** -2.28 Pr(Demand) .8166 .5763 Pr(Supply) .3072 .3975 Pr(SupplyjDemand) .2981 .6662 rho 0.6163 0.9433 N 3839 4724 * signi…cant at 10 percent, ** signi…cant at 5 percent, *** signi…cant at 1 percent. Table 10: Tobit results Variables VLSS93 VLSS98 Formal Informal Formal Informal Gender .44** .03 .53 .48 Age .04 -.02 .34*** -.13 Age^2 -.05 .001*** -.40*** .01 Marritial status -.29 -.12 .25 -1.45* Household size .17*** .26*** .96*** .67*** Working adult rate .73** .26 1.34** 1.18 Education level .07 -.04 .08 -.21 Schooling year .40** -.03 Schooling year square -.02*** .01 Farm -.001 -.20 1.37*** -.38 House owner .56 .82* 3.34*** .61 Land-holding-size .12** -.16* .09** -.02 Health status .02* .01 .02 .12*** Commune population .003 -.00 .07 .04 Credit per capita .07 -.25* .81** -1.54*** Distance -.09*** -.01 N 3839 4724 * signi…cant at 10 percent, ** signi…cant at 5 percent, *** signi…cant at 1 percent. 36 Table 11: The Heckman Selection Model Estimation Results Variables VLSS93 Participation Loan amount Gender .15** .47 Age .02* .02 Age^2 -.0003** -.00 Maritial status -.10 -.31 Household size .05*** .25*** Working adult rate .26** .45 Education level .02 .05 Schooling year Schooling year square Farm .09 -.56* House owner .18 .72 Land-holding-size .07*** -.01 Health status .01* Credit per capita .01 Distance rho .78 ^ 2.20* N 3839 * signi…cant at 10 percent, ** signi…cant at 5 percent, *** 37 VLSS98 Participation Loan amount .01 .81 .04*** .29** -.0004*** -.003** .05 .18 .08*** 1.03*** .18** .95 .03 -.03 .05** .37* -.003*** -.02* .22*** .20 .29** 4.19*** .01** .08** -.01** .16*** -.01*** -.11*** .73 6.78*** 4724 signi…cant at 1 percent.