Abstract
Abstract
Based on Ratha and Shaw’s (2007) model for estimating bilateral remittances, this study attempts to develop a new method for computing bilateral and aggregate remittances for the top five remittances-receiving countries for the period 2010-16. Considering tempered altruism as a motive for sending remittances, we develop an analytical framework based on the lifecycle hypothesis of saving to compute bilateral and aggregate remittances. We compare our bilateral and aggregate remittance values with the World Bank's values based on Ratha and Shaw’s (2007) model. Our analytical framework seems to be an improvement over the Ratha and Shaw model in several ways. First, our model considers several theoretical aspects of motivations to remit like saving, investment and wealth accumulation. Second, it addresses the issues of underestimation and overestimation, i.e. inaccuracy, of bilateral and aggregate remittances in various ways (for instance, by considering GDP per capita instead of GNI per capita we control for overestimation of remittances whereas by considering every kind of migrants from all destination countries we control for underestimation) and mitigates the probability of both these issues through the proposed model. Third, it compares regional bilateral remittances between the new model and the Ratha and Shaw model, delving on the reasons behind underestimation and overestimation, i.e. inaccuracy. We conclude that our analytical model has the potential to provide a general framework for computing bilateral and aggregate remittances which can be used for most of the remittance-receiving countries.
Introduction
Bilateral remittances are the flow of remittances between the two countries. The top five remittance-receiving countries, that is, India, China, Mexico, the Philippines and Egypt, receive the highest volume of bilateral remittances from the USA, the UK and the Middle-East countries.1, 2 In 2018, these top five remittance-receiving countries received around USD 241 billion of remittances out of USD 689 billion of total remittance inflows. 3 Remittances have been extensively studied in the literature (Acosta et al., 2009; Aggarwal et al., 2011; Barajas et al., 2009; Catrinescu et al., 2006; Giuliano & Ruiz-Arranz, 2006 Gupta et al., 2009) either as a cause or as an effect with respect to various economic variables such as economic growth, inequality, poverty, investment and financial development, to name a few. It is also to be noted that most of these studies use aggregate remittances data, widely available with the central banks of respective countries. However, the data on bilateral remittances remains scarce to date.
An understanding of bilateral remittances is important because it determines the preference of migrant workers regarding their choice of the host country. Demand for their special skills and the corresponding higher wages are found to be one of the factors for their choice of host countries (Walmsley et al., 2005). Further, migrants’ decision to send remittances depends not only on the needs of the households at the home country but also on some host country-specific factors. For instance, some of the host countries offer more opportunities for the skilled workers, more conducive interest rates, low volatility of wages and low barriers to migration which may influence remittances inflows by migrants to the home country in a positive way.
Given the significance of bilateral remittances data, some studies have attempted to construct bilateral remittance databases from the central bank reported data for the EU countries and a few developing countries. For instance, Frankel (2010) constructs a database by utilizing data from the Inter-American Development Bank, the European Commission’s bilateral remittances data and the data constructed by Leuth & Ruiz-Arranz (2008). The latter construct a database from primary data sources, from various central banks, the International Transaction Reporting System, migration surveys and so on. Frankel’s database consists of data for 64 pairs of countries having approximately 1600 observations. Similarly, other studies (De Sousa & Duval, 2010; Docquier et al., 2012; Schiopu & Siegfried, 2006) have constructed such databases from secondary sources such as money transfer operators, central bank reports and published surveys. While Ahmed and Martinez-Zarzoso (2014) use central bank data in the case of Pakistan, this data seems to be limited in its availability in terms of the number of years. Regarding developing countries, there is a scarcity of data on bilateral remittances per se because central banks of most of the developing countries are not able to report accurate bilateral remittances data because of the usage of various informal channels such as hawala and migrant networks for informal remittance transfers (Freund & Spatafora, 2005).
Currently, a comprehensive bilateral remittance database starting from 2010 is published by the World Bank and prepared by Ratha and Shaw (2007). Their method of estimation is based on migrant stocks, income that migrants earn abroad and home and host countries’ income. The remittances sent by the migrants are estimated from the per capita incomes of the home and host countries. The resultant number, further, is multiplied by the relevant bilateral stock of migrants, to get total remittances received by that particular home country. The estimated bilateral remittances data, applying the above approach, is available with the World Bank as bilateral remittance matrices from 2010 to date. This database has been used by a few studies in various context contexts (Aggarwal, et al., 2011; Azizi, 2017; Lew & Arvin, 2012).
The bilateral remittances data of Ratha and Shaw is said to be complete in the aggregate sense but inaccurate in terms of volumes (Alvarez et al., 2015). The reason for such inaccuracy may be because of their method of estimation, which is briefly discussed as follows. First, Ratha and Shaw’s method relies on differences in per capita income alone as a basis for remittance estimation, the assumption that migrants send remittances because home country’s GNI per capita is lower than that of the host country. While per capita income difference may be one of the reasons, it may not be the only reason. For instance, in the Indian context, Nepal is a preferred migrant destination because of historical ties and cultural similarities (Subedi, 1991). The number of Indian migrants in Nepal was close to 800,000 as of 2013. 4 Nepal’s GNI per capita has been consistently lower than that of India. Given the large Indian migrant population in Nepal, there is a rather high probability of remittances flowing from Nepal to India. But Nepal does not appear in India’s bilateral remittances matrix prepared by Ratha and Shaw. Second, the use of GNI per capita instead of GDP per capita as a measure of per capita income may overestimate remittances as GNI includes all factor income including remittances. 5 Furthermore, some host countries have been excluded by the Ratha and Shaw model in the estimation of bilateral remittances. Such cases were observed wherein the remittances received are comparatively smaller or the number of migrants (from the respective remittance-receiving countries) are relatively fewer. For instance, remittances from countries such as Pakistan, Eritrea, Estonia and the Bahamas to India, although smaller than other countries, do occur. However, such cases are omitted or ignored in Ratha and Shaw’s database. 6
Based on the above discussion, the present study attempts to fill the abovementioned gaps in the literature by constructing a new aggregate and bilateral remittances database. The study has mainly two objectives. First, it addresses the aspect of accuracy by considering remittances from the perspective of motives. In line with this, we propose a method of estimation with an analytical framework that is based on the lifecycle hypothesis of savings (LCHS). Second, by applying the proposed analytical model, we empirically compute bilateral and aggregate remittances for the top five remittance-receiving countries for the period 2010–2016 and compare them with the World Bank’s database (based on Ratha and Shaw’s method) on bilateral and aggregate remittances.
The rest of the article is organized as follows: The second section describes the analytical framework, the third section details empirical estimation and results and the fourth section concludes the study.
Analytical Framework
The starting point of our analytical framework is the model proposed by Ratha and Shaw (2007), described briefly as follows:
Suppose Yi is the GNI per capita of the home country and Yj is the GNI per capita of the host country and rij is bilateral remittances flowing from (host country) j to (home country) i, rij is estimated by the following relationship:
Equation (2) shows remittances at an aggregate level:
where i is the home country and j is the host country. rij are country-level remittances where remittances flow from j to i. Mij is the bilateral stock of migrants where migrants flow from i to j 8 .
Assumptions of Ratha and Shaw’s model: The model assumes that if the home country’s per capita income is less than the host country’s per capita income, remittances flow from the host country to the home country. In this model, remittances are assumed to be the difference between GNI per capita of the home and the host countries. The reason that migrants would always send a minimum amount of remittances is mentioned as compensation that they would send to cover for the opportunity loss of employment that the migrant creates at home.
Based on the above discussion, we conclude that Ratha and Shaw’s model has some limitations, described below. We, in the subsequent section, attempt to improve upon Ratha and Shaw’s model by modifying these assumptions.
Inaccuracy: Issues of Underestimation and Overestimation
Ratha and Shaw’s bilateral remittances estimations have been considered as inaccurate (Alvarez et al., 2015). The reasons for such inaccuracy maybe because of the model’s assumptions and the method of estimation. Their model assumes that migrants send remittances because the home country’s GNI per capita is lower than that of the host country. Furthermore, their method suffers from the following limitations that have led to inaccuracy in bilateral remittances data: omission of some host countries, use of GNI per capita rather than GDP per capita and lack of theoretical framework describing motives to remit.
While estimating bilateral remittances, Ratha and Shaw’s model omits some host countries where the migrants’ population and remittances are relatively smaller. The omission of such countries may also be because of their intention to match the aggregate of bilateral remittances values with the World Bank’s aggregate remittance data. Because of this, bilateral remittances estimated by them could be inaccurate.
Further, when Ratha and Shaw consider GNI per capita instead of GDP per capita, the difference between remittances and other factor income from abroad is not clear. Also, remittances are considered the only additional income that the household receives. In both these cases, remittances would be overestimated.
We think that such inaccuracies can also be minimized by developing an analytical framework based on an economic theory explaining the motivations to remit. Ratha and Shaw’s model lacks such a theoretical consideration. We attempt to improve upon Ratha and Shaw’s model by developing an analytical framework for computing bilateral and aggregate remittances in the following ways.
To control for possible underestimation, we assume that migrants9 from all host countries, irrespective of their migrant status and skill, send remittances because they are motivated by tempered altruism and the macroeconomic conditions at the home country.
Similarly, overestimation is controlled in two ways. First, we consider GDP per capita in place of GNI per capita as a measure of income. Unlike GNI per capita, GDP per capita excludes any income from abroad and includes income from productive activities within the domestic economy. This way, remittances are estimated separately and not as total factor income from abroad, minimizing overestimation of remittances. Second, overestimation can be controlled by considering remittances as one of the additional incomes of the household, rather than the only additional income. For instance, in developing countries, remittance-dependent households resort to earning additional income from farming, small businesses, entrepreneurship and so on. Though such households depend on remittances, it can be noted that remittances are not the only additional income which the households receive (Holden et al., 2004; Sana & Massey, 2005). Hence, we consider additional income (non-remittance additional income) in terms of value-added from businesses or farming activities in our model.
Finally, we attempt to correct for inaccuracies in the bilateral remittance values by proposing a theoretical framework. The proposed model is based on the economic theory related to motivations to remit (Lucas & Stark, 1985). In developing the analytical framework, we use the ‘tempered altruism’ motive of remittances wherein the migrants as well as the households benefit from remittances. The remittances that the household receives are not only used for their own consumption and investments but also invested for the migrants’ gain. This way, there is a mutual benefit of the migrant as well as the household. We address the consumption motive by considering the consumption function from the LCHS model and including household age dependency and unemployment rates. We address the investment motive by considering savings and wealth form the LCHS model, and with the interest rate spread as a discount rate for remittances as future income. The interest rate spread gives an idea about the stream of cash flows that the household or migrant would receive in future, from the investment of remittances.
In literature, the determinants of remittances are observed as inequality, economic growth, inflation and interest rates. We include each of these as coefficients to the variables in the model. Thus, we compute remittances according to the motives rather than just an accounting approximation.
Motives of sending remittances
Since savings and investments are observed to be the two main motives to remit to developing countries, the present study utilizes the LCHS developed by Ando & Modigliani (1963) and Jappelli & Modigliani (2003) as an analytical framework for the estimation of bilateral remittances. In this context, the LCHS has provided sufficient empirical evidence about savings rates, reasons for saving or dissaving by the elderly and the accumulation of savings into wealth for future generations (Choudhry, et al., 2010; Danziger et al., 1982–1983; Graham, 1987; Modigliani, 1993; Thøgersen, 2015). In this study, we assume that remittances are sent with the motive of improving savings as well as investments.
The LCHS delineates that consumption is a function of current and future income. If consumption is assumed to be a function of total resources, then
Where
From equation (3), it would become:
If the proportionality factor is removed, coefficients are attached and this is generalized for the entire population over all age groups, then the equation would become an aggregate version:
Though the LCHS takes care of the individual behavioural aspects when constructing the aggregate consumption model, it makes some drastic assumptions. The model assumes that every household has the same life span and earning span; every age group has the same earnings and average income within a particular earning span; the rate of return on assets remains constant over the entire lifetime; and that there are no bequests.
Assumptions of the new model: Our model assumes that there are bequests to give relevance to the increase of savings and, therefore, wealth creation for the younger generations, making them affluent. We further assume that the return on assets would change, making income and savings change across time. Since inflation and interest rates would differ across time, and unemployment also motivates the need for additional income, income inequality is considered to subsist, making supplemental income necessary in order to either consume equally or gradually more across time, meaning that there are differences in the allocation of money across time. We assume that all migrants, both temporary and permanent, send remittances because they are motivated by tempered altruism, despite their lengths of stay in the host countries.
With these assumptions, the equivalence of equation (4) and (5) would cease to exist, resulting in a dynamic model of LCHS.
Remittances, consumption and savings
If savings are the result of the difference between income and consumption, then:
From equation (5),
which becomes,
Since
The coefficients of equation (7) are selected based on the empirical literature, so that they reflect the conditions of the home country, households’ need and migrants’ motives. This way, these coefficients serve as motives for sending remittances. Their selection criteria are explained as follows:
The coefficient of wealth is inflation in our model. While redistribution of wealth may be a general consequence of inflation, there is an appreciation of wealth at the household level (Kessel, 1956; Wolff, 1979).
Since the objective is to find bilateral remittances, when (7) is rearranged, it would become:
Since the motivation to remit is the differences in savings, income, inflation and economic growth between the home and host countries, we consider these differences for computing bilateral remittances. But
Where, at time
The result of the computation of equation (8) is the remittances per capita (
The discounted remittances per capita are multiplied with the bilateral migrants’ stock of the host country for the particular year, to get the bilateral remittances for a particular country. The sum of such bilateral remittances would be the aggregate remittances received by that country.
Empirical Analysis
Based on the analytical model and applying equation (8), we compute bilateral as well as aggregate remittances for the top five remittance-receiving countries for the period 2010–2016. The sample countries and time periods are limited by the availability of bilateral migration data. 10
The Data
In equation (8), on the left-hand side,
Empirical Results
Using equation 8, we compute bilateral as well as aggregate remittances for the top five remittance-receiving countries for the period 2010–2016.12 We compare the aggregate remittances computed values based on our model with Ratha and Shaw model (reported by the World Bank) as presented in Table 1.
We examine the new aggregate remittance values and World Bank reported values in terms of the percentage difference between the values. The aggregate remittances, computed using our model, are higher than the ones estimated by Ratha and Shaw model in most of the cases. While the difference in computation method is one of the main reasons for the large variation, we find several other reasons such as a large number of migrants in some host countries (omitted by the Ratha and Shaw model), socio-cultural similarities, financial constraints, geographical proximity, historical ties and sometimes economic shocks in the home countries as other reasons for the variations. Our observations regarding reasons such as socio-cultural similarities, geographical proximity and economic shocks are similar to conclusions by earlier studies (Aguilar, 2009; Connell & Conway, 2000; Yang & Choi, 2007).
From Table 1, it is found that the aggregate remittance figures computed with the new model differ between 0.09 and 57 per cent across the top remittance-receiving countries, with the highest difference observed in the case of the Philippines in 2013. We observe three possible reasons for such differences: socio-cultural similarities, financial constraints and economic shocks.
Comparison of Aggregate Remittances
With host countries like Mauritius, we find that financial constraints in terms of high remittance costs play a significant role in high volumes of informal remittances. For instance, the transaction cost of sending MUR 500 to India is 55 per cent, making unofficial channels a more preferred way of sending remittances. Similarly, in the case of Uganda, the fee is UGX 5900 for sending UGX 500, making it cheaper to personally hand over remittance money to the household in the home country. However, the differences seem to reduce over the years in the case of the Philippines, perhaps indicating the development of the country’s financial systems in terms of depth and liquidity which has resulted in decreasing the transaction costs. Following this, the bilateral remittances computed by us are higher than the ones reported by the World Bank (Ratha and Shaw’s model).
For a visual comparison, Figure 1 shows graphical comparison of aggregate remittances values computed from both models for each country. Further, we also present the Spearman’s rank correlation for each country in Table 2. The graph as well as correlation coefficients give an idea about the rank order change in the aggregate remittance values computed from the two different methods. While the coefficients for Mexico and the Philippines indicate significant positive relationships, the coefficients for the other three countries indicate the correlation to be insignificant but positive.

Spearman’s Rank Correlation Coefficient
To understand how the large migrant population in host countries is contributing to remittance inflows, we analyse regional bilateral remittances. Table 3 presents comparison of regional bilateral remittances of World Bank and the new model. We find that the differences arise from regions that contain the maximum number of migrants from the home country. For example, in the case of the Philippines, large Filipino migrant population exists in South American countries, European and Central Asia, East Asian and Pacific, North America and MENA countries. Large Filipino migrant population in the host countries, coupled with geographical proximity and low migration barriers are possible reasons for high volumes of informal remittance inflows and the resultant underestimation of bilateral remittances (Stanwix & Connell, 1995).
Another example we can be cited is of Mexico. In the case of Mexico, bilateral remittances from the North American region are higher with our model’s computation, across all the years. One of the reasons could be the highest number of migrants from this region. Other reasons are low barriers to migration and historical ties between Mexico and the North American countries. Similarly, in the case of Egypt, bilateral remittances from the European region are underestimated by Ratha and Shaw consistently over the years (Ghafar, 2017).
Comparison of Regional Bilateral Remittances
Conclusion
This study attempts to provide a new method for computing bilateral and aggregate remittances using the Life Cycle Hypothesis of Savings (LCHS). Our method seems to be an improvement over Ratha and Shaw method. Bilateral and aggregate remittances data, based on Ratha and Shaw method, is comprehensive but said to be inaccurate. We, through our model, attempt to address the inaccuracy by the following modifications with respect to our analytical framework: considering GDP per capita instead of GNI per capita (controlling for overestimation), considering all types of migrants from all destinations (controlling for underestimation) and developing an analytical framework based on the motives to remit.
As discussed previously, bilateral remittances are an important link between demand and supply in the international labour markets. However, the lack of accurate bilateral remittance data is an obstacle for such analysis. Specific host countries demand labour with specific skills from migrants. If migrants can attain these specific skills, the respective bilateral remittance inflows can be increased, provided home country policymakers work towards the same. Such human capital formation, in turn, can accrue the benefits of economic growth and higher productivity for the home country as well (Panda, 2017).
Other than supporting consumption expenditures at the household level in the home country, remittances are also invested in education, health, business formation and so on. in many remittance-receiving countries. Therefore, increasing remittances inflows is an important policy decision for these countries (Arif et al., 2019; Kifle, 2007). Policymakers, for example, can delve on encouraging migrant remittances by providing education subsidies and formalizing their education-oriented public policies (Ambler et al., 2015). This would encourage skill development necessary to migrate to specific countries in order to increase corresponding bilateral remittance inflows. Nevertheless, one bottleneck for remittance transfers is the high costs of remittances. These need to be reduced in order to make remittances more frequent to the recipients in dire need. This depends on the level of financial development in these remittance-receiving countries because we observe that high remittance costs and huge volumes of informal remittances are features of countries with less developed financial systems.
The computation of aggregate and bilateral remittances from our model also delve on the same aspect. As long as remittances are expensive to transfer, there will be informal channels propagating for remittances. Such informal transfers would not only make a significant volume of remittances difficult to account for, but also curb any benefits of formal investment channels of remittances. Our values of bilateral remittances make a significant contribution in terms of including a probable unaccounted component of remittances. Our analytical framework, on the other hand, provides a general model that can be used to compute bilateral remittances for any remittance-receiving country. However, we are limited by the availability of regular bilateral migration data. The bilateral migration data that is reported by the World Bank is available with a lag of three years. For example, the 2016 bilateral migration data has information for the year 2013. Despite these limitations, we feel that our model can minimize the inaccuracy in the aggregate and bilateral remittances and can be used as a substitute database for computing aggregate and bilateral remittances for most of the countries.
Footnotes
Declaration of Conflicting Interests
The authors declared no potential conflicts of interest with respect to the research, authorship and/or publication of this article.
Funding
The authors received no financial support for the research, authorship and/or publication of this article
