LEVERAGING MICROFINANCE: A TOOL TO AID GROUND COMMANDERS IN DISTRIBUTING ECONOMIC DEVELOPMENT FUNDS Isaac Faber, Max Gordon, Nick George, Colin Fisk, Lance Parker, and Braden Schoenlein Department of Systems Engineering United States Military Academy, West Point, NY 10996 ABSTRACT Military leaders do not currently have an effective method to guide the allocation of economic development funds. The purpose of this article is to present a tool that will help guide how a ground commander can best allocate available funds in order to raise a community’s economic output. The tool is data driven using information from a microfinance organization, Kiva. Data from microfinance loans are utilized due to the similar purpose with that of financial aid provided by ground commanders through economic development funds. The Kiva dataset is consolidated to five sectors: Industry, Services, Agriculture, Health, and Education. These sectors act as the individual stocks that make up an ‘investment’ portfolio; the sectors then can be analyzed for optimization in terms of long term economic growth. Given a country of operation, the tool will return a portfolio recommendation with percent allocation by economic sector to be used as guidance in economic development fund distribution. This tool serves to provide much needed guidance in providing a base of economic knowledge of a country of interest and a proposal about the distribution of development funds. BACKGROUND Economic development is crucial aspect in completing the military’s mission. This objective is included in the mission statements and the funds allocated for both large recent conflicts in Iraq and Afghanistan. From 2002 to 2010, $61 billion was distributed to Iraq and $62 billion was given to Afghanistan for humanitarian efforts (Poole, 2011). US foreign assistance funds, under economic development, are distributed through the Department of Defense, with 60% of these funds channeled for Afghanistan alone (Poole, 2011). Foreign assistance has played a pivotal role in stability and reconstruction efforts in the Middle East as the military engages in ongoing conflict. The United States Military has acknowledged the need to target quality of life in occupied countries as a means of accomplishing the mission by including economic development as an objective within the mission statement for Iraq and Afghanistan: “MNF-I Conducts stability operations to support the establishment of government, the restoration of essential services, and economic development to set the conditions for a transfer of sovereignty to designated follow-on authorities” - MNF-I Mission Statement “In support of the Government of the Islamic Republic of Afghanistan, ISAF conducts operations in Afghanistan to reduce the capability and will of the insurgency, support the growth in capacity and capability of the Afghan National Security Forces (ANSF), and facilitate improvements in governance and socio-economic development in order to provide a secure environment for sustainable stability that is observable to the population.” - ISAF in Afghanistan Mission Statement Economic development funds are intended to provide U.S. military commanders the option to designate an amount of money for relief and humanitarian efforts within their respective Area of Operation (AO) in hopes of enhancing the local populace’s support for coalition forces (Marsh, 2011)). Despite the importance placed on economic development through mission statements and funding, ground commanders have not been provided a method to accurately utilize these funds. Without allocation guidance on these funds current military expenditure of economic development funds has been primarily directed at improving infrastructure. Commanders are using economic development funds to repair and create schools, water purification plants, sewers, and only a small portion has been allocated to promote small business within an AO (Clay, 2009). Throughout the current conflict in the Middle East the infrastructure projects financed by a commander’s economic development funds have proven costly. Additionally, such projects are difficult to complete, leading to wasted or unused funds. As of 2011, US Forces-Afghanistan (USFOR-A) reported that approximately $38.4 million had been lost due to outstanding unliquidated obligations (Marsh, 2011). This loss in funds is due to improper termination of such projects and a failure to properly takeover said projects by incoming ground commanders during a deployment rotation. The failure to properly terminate and transfer the burden of large infrastructure projects may be a result of the lack of knowledge a ground commander has on supervising large construction operations (Adams, 2013). Although infrastructure projects are intended to help a large portion of the population within an AO, these projects create targets for the enemy, and are usually outsourced to contractors outside of the AO. These types of projects fail to provide the intended beneficial outcomes of bettering the civil-military relationship, improving the economic status as a whole, and allowing the community to operate on its own (Poole, 2011). Therefore it is imperative that US Ground Forces consider targeting an AO’s economy in a more holistic manner. A drastic range exists for the size of economic development funds given to ground commanders who are left to allocate the funds at their discretion. Numerous studies have shown that small economic development projects, those less than $50,000, tend to be more successful than larger projects because they are better informed and create more incentives for a local community to work together (Clay, 2009 and Berman et al, 2013). While ground commanders must adhere to guidelines and rules on how they can spend the economic development funds, there is little education to guide them on how to best allocate their funds. Much of the training employed about how to allocate funds revolved around employing it as a combat enhancement. In fact the U.S. Army’s Center for Lessons Learned handbook for general guidance on allocating economic development funds states: “that monies should not be used to support local business” but suggests instead “employ as many Iraqi’s as possible” (Clay, 2009). This approach leads to a significant amount of wasteful spending and does little to alleviate poverty or promote long term economic stability within a region. Even worse, at least 10% of all funds distributed throughout Afghanistan ended up in the hands of insurgents, thus working at cross purposes with the desired effectiveness of economic development funds (Marsh, 2011). Additionally, even if commanders have a basic understanding often improper allocation to projects can lead to more economic harm than good (Angelucci et. al, 2013). To counter such shortcomings, the US military should employ a strategy that answers the following question: How can we encourage stability through growth in local economies? The answer is to invest in the right businesses. Invest, in the case of military expenditure on communities in an AO, does not refer to a ground commander reaping a financial gain, but rather gaining a return through an improved community and civil military relationship with the local populace. Through the use of a micro-grant program that is driven by the theory of portfolio optimization and long term optimal growth, a ground commander can acquire a base of knowledge of where best to place their funds in the local business sectors in order to raise a community’s economic output within a current AO. APPROACH In theory, a sound strategy for employing development funds can effectively increase a community’s economic output. The implied task is that the ground commander must ensure that they allocate this funding appropriately in order to obtain this successful result (Adams, 2013). By viewing local community’s economic sectors as a portfolio an optimization analysis can be conducted. This approach will determine what economic sectors produce the greatest amount of growth over a period of time. In turn, the ground commander can choose to place the economic development funds in the higher growth sectors in order to raise the status of living. However, in order to conduct a portfolio optimization analysis significant amount of data is needed. This has been a challenge as many military units did not collect or consolidate this type of information while deployed so most datasets are incomplete (Berman et al, 2013). One of the primary contributions of this paper is to leverage microfinance data to help support the optimization program. The portfolio optimization is driven by historical economic data collected by microfinance institutions (MFIs) via Kiva. Kiva is an intermediary organization that helps find donors for MFIs. MFIs issue small sized loans, ranging from $50.00 to $10,000.00, to local business owners and entrepreneurs in impoverished communities in order to provide them with the financial assistance to operate their business. Considering the operations of MFIs, the method in which the grants (given by a ground commander) from the economic development funds are allocated parallel the loans issued by an MFI (Schmidt et al., 2009 and Eversole 2000). A ground commander will be able to issue portions of funds based on the optimization recommendation. These will go to individuals of the community operating businesses within specific sectors. In order to create the optimization program, data pertaining to loan performance, return on investment, loan amount, amount of loans issued, and the economic sector is needed. This introduces the assumption that grants act like loans and that the individuals seeking grants are the same as the individuals seeking loans. Although a seemingly large assumption, through research on grant performance and loan performance by the Joint Poverty Action Lab (JPAL) historical data shows negligible difference. The implementation of a vetting process to the distribution of grants will eliminate individuals who do not intend on using the grant appropriately (Walsh, 2013). Additionally, conducting follow up meetings with those individuals who have taken a grant, possibly through the use of patrols, a ground commander can ensure that the individuals who have been given said grants are utilizing them as intended, as well as track the performance of the grant. Datasets The portfolio optimization application leverages microfinance data to develop ‘investment’ portfolio recommendations. The primary data set used is a record of Kiva microloans from the years of 2005 to 2013 from dozens of MFIs. This data set contains geographic, demographic and financial loan data points from over 1 million loans. Initially, the Kiva dataset separated loan data on an individual level in sixteen economic sectors based on a specific country. The Kiva dataset is extensive; however countries that lack diversity in their economy fail to provide substantial data in certain sectors. This lack of information in various sectors motivated a consolidation based on data collected by World Bank. The micro loan data found in the World Bank datasets covers over a 100 different variables. In reviewing the collected data it was found that there were five primary variables that underpinned the rest and that the subordinate variables were rooted. These five core variables are: Industry; Services; Agriculture; Education; and Health. The consolidation of the sixteen Kiva sectors is as follows: Figure 1 Consolidation of Kiva economic sectors In Kiva’s dataset the loan sizes range from as small as $50 and as large as $10,000. This large variation in loan size has the potential to skewed the output. The Kiva data was trimmed to only include loans of $2,500 or less to avoid this nuance. The trimming of the Kiva dataset considered the micro grant approach. The assumption is made that grants no greater than $2,500 would be given to any individual in a ground commander’s AO. In conducting interviews with pundits in the field of microfinance, it was discovered that MFIs defined success as the availability impoverished communities have to loans (Lehman, 2013). This definition of success does not provide hard data concerning the performance of individual loans, and thus cannot be used to determine the performance of the application or the growth of the local economy. When speaking with former ground commanders it was determined that a grant based approach was the best method for issuing economic development funds (Adams, 2013). A grant based approach implies that a return on the issued portion of the economic development fund is not expected by a ground commander but instead goes to the business proprietor. Since a means of success has not been widely defined by the microfinance community in a manner that is conducive for analytical use, this paper develops its own measure. The approach interprets the difference between loan sizes (average dollar amount of a loan) from year to year in a specific sector to determine the net economic performance. This logic implies that if loan sizes increase from the previous year within a sector, then that sector has undergone a positive gain, or return. The opposite holds true as well. If the loan sizes have decreased from the previous year in a sector then that specific sector has undergone a loss, or negative return. Figure 2 Kiva Loan Amount by Year from 2005 to 2013 Figure 2 shows the change in loan size over time for the entire Kiva dataset. The loan amount in the x-axis displays the loan size taken out by year (y-axis) within a specific sector. The general performance of the sector relationship between is observable. The observation that changes in loan amounts increase over time does not in and of itself justify its use as a performance measure. Further observation is required to validate this assumption. Figure 3 is a pairs plot of the rates of changes of loan amounts compared against the rates of changes of macroeconomic variables reported by the world bank for the country of Kenya. Figure 3 Rates of Change of Loan Amount vs. Macro Counterparts in Kenya If the rate of change between loan amounts are significantly correlated with known macroeconomic variables that would lend credence to the assumption that they represent a useful source of information. From a cursory view of Figure 3 there does appear to be a positive relationship. It is also obvious that the microloans have much greater variation than do the macroeconomic variables. In order to test for significance a hypothesis test of correlation is conducted with the results given in Table 1. Table 1 Test of Correlation of Rates of Change R N Alpha Test Statistic Result 0.356301 35 .05 2.19 Reject Null Hypothesis (R =0) The result of the test demonstrates statistical significance between the two variables at 95% confidence. This observation supports the use of changes in loan amounts as a proxy for economic conditions. The sample correlation of .35 suggests that the two variables are not strongly related. This is to be expected as microloans are targeted at the lower echelons of an economy as opposed to the country level concentration that the world bank reports. There is also friction concerning the size of the loans as MFIs have varying practices in determining and changing loan sizes over time. However, using averages on a time series loan amount changes offers a positive first effort at measuring the performance of micro economic sectors. It is these sectors that a ground commander may have the best chance of influencing. METHODOLOGY The approach used to leverage the microfinance data will rely on the dynamics of the dollar size of loans. In order to infer portfolio performance a major assumption used is that a loan amount (aggregate not individual) will follow a log normal distribution. Cursory observation of the loan size by sector given in figure 4 support the distribution assumption as a stylized fact. Figure 4 Distribution of Loan Size for Entire Data Set Though the data has been trimmed there is a clear trend in reduction of frequency of loan size as the value increases from mode of $500. The parameters for the distribution (given in equations 1 and 2) (π, π) are defined by statistical estimates on a parsed selection from the data set. Later sections in this paper will show that it is the changing dynamics of these parameters that will serve the basis for portfolio selection. The parameter estimates from the total data set (all countries over all years) is given in Table 2. Table 2 Log Normal Parameter Estimates Estimate Standard Error Log Mu 6.5437885001 0.0008844527 Log SD 0.7750747967 0.0006254025 The values in Table 2 give an indication that there is a relatively low error associated with the estimates at the aggregate level. However, the data set is ‘thin’ for some countries resulting in less reliable estimates when parsed. It will be an important consideration for any decision maker when allocating funds for economic improvement to know how reliable the recommendations are. The tool developed for use in this regard will contain the proper warnings in the event of small sample sizes with high standard error. The assumption of log normality allows for the use of models intended for equity pricing. In particular the expectation and variance of a given loan is assumed to follow from equations 1 and 2. πΈ[πΏ(π‘)] = πΏ(0)e 1 (g+ π2 )π‘ 2 1 2 )π‘ πππ[πΏ(π‘)] = (πΏ(0)e(gt+2π 2 Equation 1 1 2 2 (π π π‘ − 1) ) Equation 2 In the expressions πΏ(π‘) is loan size and π is the log normal growth rate. Describing the loans size as lognormal is important because it allows for the development of optimal growth allocation (Luenberger 1997). A loan size after π time periods can be described in equation 3 πΏπ = πΊπ πΏπ−1 Equation 3 Where πΊπ is a random return factor given as πΊπ = 1 + π. Under these conditions loan size growth process can be described in equation 4 Equation 4 πΏπ = πΊπ πΊπ−1 … πΊ2 πΊ1 πΏ0 Taking the logarithm of equation 4 and performing trivial manipulation yields equation 5 1 πΏπ π 1 ππ ( ) = ( ) ∑πππΊπ = E(lnG1 ) = π£ πΏ0 π Equation 5 Then Equation 6 πΏπ = πΏ0 π π£π In equation 5 it is demonstrated that the growth rate, (same as continuously compounded) is described by π£, is the same as the expected logarithm of πΊ1 . So maximizing the expected logarithm is the same as maximizing the growth rate in loan size. The assumption of log normality allows for the extension of modeling the change in the loan size over time. The loan size is described in terms of Brownian motion given in equations 7 and 8. π ππ[πΏ(π‘)] = ππΏ(π‘) πΏ(π‘) 1 ππΏ(π‘)/πΏ(π‘) = (π + ( ) π 2 ) ππ‘ + πππ§ 2 Equation 7 Equation 8 1 In equation 4 the term (π + (2) π 2 ) is defined as the growth rate of a given loan category. This process describes the growth of a loan size over time but does not allow for the elaboration of several categories of loans. Because the tool developed in this paper allocates funds based on sector. The sectors become equivalent to asset categories (indexed as ‘π’). Each asset can be described by its growth terms from equation 7. πΏπ (π‘) 1 πΈ [ln ( )] = (π + ( ) π 2 ) π‘ = π£π π‘ πΏπ (0) 2 Equation 9 It is demonstrated that equation 9 and equation 5 relate to express the growth rate over time. If weights are incorporated then the result is given in equation 10 for expectation and equation 11 for variance πΏπ (π‘) 1 πΈ [ln ( )] = π£π π‘ = ∑π€π ππ π‘ − ( ) π€π πππ π€π π‘ πΏπ (0) 2 πΏπ (π‘) πππ [ln ( )] = ∑π€π πππ π€π π‘ πΏπ (0) Equation 10 Equation 11 Where πππ is the variance (where π = π) or covariance (where π ≠ π). It follows that π£ can be contorled by selecting weigths for π€π , π€π−1 … π€2 , π€1. So in order to optimize the growth rate of a set of loan sectors the non-linear program in equations 12 and 13 should be used. 1 πππ₯ππππ§π: ∑π€π ππ − ( ) ∑π€π πππ π€π 2 π π’πππππ‘ π‘π ∑π€π = 1 Equation 12 Equation 13 One important addition to the program is to restrict negative weights. The reason for this is that loans should (can) not be short sold. So the constraint given in equation 14 is included. π π’πππππ‘ π‘π ∑π€π ≥ 0 Equation 14 Including the constraint in equation 14 eliminates linear combinations of growth efficient portfolios. So growth optimal points will need to be calculated independently. This will be reviewed in the results section with an application to the country of Kenya. CASE STUDY: KENYA The country of Kenya has benefited from numerous microfinance and micro grant programs. The amount of microloan information associated with Kenya within the Kiva dataset is significant. This provides an opportunity for a proof-of-concept. In respect to the Kiva data concerning microloans in Kenya, a growth chart was produced (Figure 5) in order to show the growth rate for each individual sector in comparison to the growth rate of the optimal portfolio (Kenya specific output from equation 12). Kenya’s Industry sector has the greatest growth rate. However, this superior growth rate does not indicate that the ground commander should allocate their funds solely to the sector. The ground commander should instead place a proportional amount of their funds into a sector based on the value the sector can provide to optimal growth. Figure 5 Growth Rate over Risk chart for the Kenya’s sectors and optimal portfolio The program results in the portfolio with the proportional distribution recommendation listed in Table 3. Table 3 Kenya Fund Distribution by sector based on optimal growth algorithm Sector Allocation Education Health Industry 0 .25 0 Services Agriculture 0 .75 As seen in the Kenya portfolio, the funds are to be distributed between the sectors of Health and Agriculture. This result is, in a way, counter intuitive because health that the lowest growth rate. However, the optimization program considers the relationship that the sectors share ( πππ ), and controls the growth rate by the individual sector weights (π€π ). This results in a portfolio that seeks to optimize long term growth. The portfolio program recommends a distribution of funds in order to achieve long term growth. In doing so, the concept of ‘over-betting’ must be taken into consideration. This concept, refers to wasting funds or unintentionally harming the local economy despite the good intention to improve it. In the world of card counting and Black Jack, this same concept exists, in which a gambler places too great of a bet on a hand they know has a strong probability of being in their favor. Although, instinctively it makes sense to win as much as possible when given the opportunity, in regards to long term optimal growth this is dangerous. With that said, it behooves the gambler and commander to bet proportionally considering the probabilities they have of winning the next hands. In the case of Kenya it would be counterproductive to either only invest in Industry or evenly distribute funds. Both of these approaches would result in a negative (wealth destroying) growth rate. WEB APPLICATION To assist a ground commander in conducting this complex portfolio analysis on the country they are operating within, a web application was created. This web application, presents the ground commander with a user-friendly interface, with easy to understand instructions (Shown in Figure 6). The application has four tabs that consider the user’s country of operation and the amount of economic development funds available for their use. The first tab, labeled “Results”, provides the ground commander with a Loan amount by year chart. This chart represents the change in the amount of loans taken out by year. Below the Loan amount by year chart the user will find the weights that the portfolio program has assigned to the economic sectors for the country of choice. The second tab, labeled “Asset Calculator”, provides a visual representation of the funds to be distributed in raw monetary form ($US). Additionally, the user will find a similar chart that displays the monetary allocation of the funds in the specific sectors based on the weights that have been assigned through the algorithm and the user’s input. The third tab, labeled “Compare Your Plan”, allows the user to input their own allocation of the funds into the five economic sectors. The application then runs a comparative analysis on the performance of the optimal portfolio (the portfolio determined by the optimal growth algorithm) and the user’s portfolio (the manually inputted allocation of the funds). This tab also provides the user with the growth rate of the optimal portfolio and the user’s portfolio. The fourth and final tab, labeled “Credit Check”, provides a ground commander with a general means of vetting grant applicants based on country, economic sector, and gender. This is a simplistic means of determining an individual’s success if provided a grant, and by no means should be the only factor considered when providing the local populace with grants. The web application is open source and can be found at the following web address: https://analysticspro.shinyapps.io/capston-app/ Figure 6 Screenshot of web application main tab BENEFITS OF IMPLEMENTATION The idea of leveraging microfinance to provide ground commanders with an understanding on how best to allocate their economic development funds has three beneficial outcomes. An immediately noticeable benefit of the approach is, the stimulating of the microfinance community to seek a means to collect data on loan performance. Currently, microfinance institutions base loan success on accessibility; the ease and convenience that an impoverished community has in obtaining a microcredit loan. In socializing the idea of leveraging microfinance, it became more apparent that the concept of success based on loan performance has not been strongly emphasized. Through implementing this theory in modern military strategy and current microfinance operations, the microcredit community will have an outlet in which such loan information can be utilized; motivating the change in how success is defined in the microcredit world. The implementation of this theory and the means of collecting beneficial data will also improve civil-military relationships. The web application requires updated data in order to be useful in the future. There are various means in which this data can be collected, but there are two specifically that will better the military’s relationship with the civilian world. The first means of collecting this data is through microfinancial institutions. MFI’s, which currently collect data on loans (despite the lacking success variable), could supply the military with this loan information. In doing so, the military will be able to branch out and form a working relationship with NGO’s; creating a positive image and strengthening the military’s force. More importantly, the gathering of the needed data can better the military’s relationship with the local populace within a ground commander’s AO. Rather than conducting presence patrols, through the implementation of a grant program aided by the web application patrols can focus on collecting performance information on the distributed grants. Through conducting patrols focused on tracking grant performance the ground commander can show the local populace the genuine care the military has in their individual performance, while still collecting data that can increase the accuracy of the application. As a result of data collection and an increasingly accurate application coupled with patrols focused on tracking the performance of grants, a local economy can be improved and boost the creation of new businesses. Each new data point entered into the applications database amplifies the usefulness it can provide to a ground commander, as it can better determine the optimal portfolio for an economy. Subsequently, as a grant based program guided by the application gains momentum through updates, more individuals can be affected by these grants; thus boosting current businesses as well as encourage the creation of new businesses. FUTURE WORK The current status of the application can provide a ground commander with a substantial base of knowledge concerning the economic performance of their country of operation. As this application is operationalized in current theaters it will increase in accuracy; resulting in greater applicability through regionalization and continuously updated data. The application can be operationalized through three phase: Initial Deployment; Collecting Local Data; and Updating the Portfolio. During the initial deployment phase the application will provide the ground commander with a portfolio analysis based on the current Kiva data. This data pulls from microcredit information, and although it is not regionalized, it provides a ground commander with significant guidance on the performance of the economy and economic sector allocation. In the follow on phase of collecting local data, current grant performance will be tracked by the unit operating in the community. In doing so, the ground commander can ensure that the grants are being used appropriately, portray a vested interest to the local populace through presence in the economy, and provide additional data for the application. The means of accomplishing these objectives is through the creation and implementation of a data collection method. This opens the door for future work, in which a data collection method will be created. There are existing methods in operation today, such as the data collection method used in Sri Lanka after the devastating tsunami (De Mel, 2008). This collection method was a required form that loan applicants had to complete prior to reserving the financial aid from the MFI. It allowed the MFI’s in Sri Lanka to gain an insight at depth of the individuals that requested loans, intended use of the requested loan, the success of previous loans (if applicable), etc. With a similar means of collecting data, a ground commander will be provided with a greater understanding of the individuals in the community, their needs, possible areas of focus, and more. This collected data can then be inputted into a larger database that is continuously updated. As this database grows in size with each additional input from ground commanders across the globe, it can be coupled with the current microeconomic information fueling the application to create a more accurate portfolio analysis. 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