The research was conducted in Enugu State, Nigeria. The dominant criteria for selecting Enugu State were the prevalence of small scale rice farmers and numerous financial institutions in most of the rural areas in the state. Enugu state is also among the highest rice producing states in Nigeria. In addition, rice production is known to be a major staple and livelihood strategy in the state. The state is made up of 14 core rural local government areas, where rice farming is practised. Enugu State is made up of three agricultural zones, 17 local government areas and 39 Development Centres in the state.
A multi-stage sampling technique was used to select the respondents for the study in the following ways. First, the sample frame for this study was all the small scale rice farmers who applied for credit, whether access or not, from financial institutions in the selected areas formed the sample frame. The list were collected from and with the help of Enugu State Agricultural Development Projects (ENADP). Eight were selected at random out of 14 Local Government Areas (LGAs) located in rural areas. A random sampling technique was used to select two communities from each of the selected rural LGAs, which gives 16 communities. A random sampling technique was used to select 10 crop farmers from eight selected communities, which gave 80 respondents. However, after data cleaning and other exercises of data editing, 75 questionnaire were collected and used for the analysis. Finally, all the financial institutions in the selected LGAs formed the sampling frame for financial institutions. In selecting financial institutions, a purposive sampling technique was used to 16 formal financial institutions that had operated for more than ten years in each of the selected local government areas. This gave a total of 16 formal financial institutions. Therefore, 75 farmers and 16 financial institutions were used for the study. Relevant primary data were collected through questionnaire, focus group discussions and lead informant interviews. The secondary information were also collected from publications. The major analytical tools used to achieve the study’s objectives are descriptive statistics and the Poisson regression model.
Model specification
The Poisson model for count data is suitable for estimating the rice farmers’ decisions on managing credit risks. The binomial distribution represents the probability of repaying
k percentage of credit given
n independent trials.
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)
..........(1)
Where
![](data:image/png;base64,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)
and
p is the probability of repaying a percentage of credit
k.
The statistical theory states that a repetition of a series of binomial choices, from the random utility formulation, asymptotically converges to a Poisson distribution as
n it becomes large and becomes small.
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)
..........(2)
Where
p = µ
/ n and
m is the mean of the distribution, such as the mean percentage of credit repaid by crop farmers per rice farmer. This formulation allows modelling of the probability that a farmer chooses the percentage of credit to be repaid
k given a parameter µ, the sample mean.
The statistical theory outlined above can be modelled into a series of discrete farmer decisions that sums across an aggregation of choices to a Poisson distribution. The Poisson regression model is the development of the Poisson distribution presented in equation (2) to a non-linear regression model of the effect of independent variables x
i on a scalar dependent variable y
i. The density function for the Poisson regression is
![](data:image/png;base64,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)
..........(3)
where the mean parameter is the function of the regressors x and a parameter vector b is given by:
![](data:image/png;base64,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)
..........(4)
where
![](data:image/png;base64,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)
..........(5)
Also note that
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANcAAAAtCAYAAAA9dP7KAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADxuSURBVHhe7X0HnBXV2f6lCmg0JsZoTEwsMVWjiRFji4DSUREFNEZNTIw1ih0UEVDEgigdpHcBjRqDGIogHel1F1jKLuwu2+/eXnaf//O8Z+buLpLkE2Py5/t9B86dmVPf8/ZTZjYAP1QfIXpBt2kvHpb1hUOV11gqGWXDScY4n5LgE8LsKV2dQlWKPVcxgTEZVg7LMVYjYYnplK4pPjM94cqGGYNMjTCWq20mVqfCvCrGkWaVapapZnoipb5ZglVTbCOt3lMqph4ivGWddIhlEgavsmLsStcEf2Msn1Qb6phtpFMxppay/2JUMpU1Cbd+GMP8STKmWVtwpQhhmmMOsS6ThI4o24kxslUmpRCPs5yGKNQkNM4qFUWUhVXe8lk6nixFPKGO2BZLGD4UVM6PzKtmQ9VefppR91ZFBNZVjapqkritiiNVHSO4hCYqHPB/MsZyFbypJJze+JieSAtXUUTTylMZN85UjG2wTIxlYiII+xEconK6Kmb9J9ivIEOMdaPlLMRiHkyivzCitu0uznaZl0oY9RAhLIQQEdLHkKSr2mOnQq3oLNSFBY+4IlXqaO+1j2iCOBQuXEikyB+sEUxVIJw27DCECF05kmQclatm40KTxi+MR3SjPhPqSfRI4r8uXMmURqigIXDwMYFKhuKv4BXEyQhZNMkUMRExEiOFhGSxntAbjYYphF47aUJJCRCxVL+SV6FcbaYTPqvHEY2lbTzxqoS1oUElCUKSpatUJkEuSBEOCnxcfemZgp5imsYvZopVickJjxiJ13iYZdhUVTKCaOoAWwqiguVKPcQbQOKYtGO6zJjZrm6rwyQphUfwillCVREjdHWcY5fSEHyMyg+ynNXmT5pjTpARUmJ4pqZqKxsFwlBXuJxA+dGAY16daI0LaKqbqijRzjYFp+hAgUCKAkAmLuOjsCpciiKRqkreUxAl5NJgCcLAZkLURtYTCxpj88mElm3oPmJMKdzwSvyEKyMGRiJehSrimeyPEMfo8MVf4ZLXOG+kEIWvsClo9kkhSrKeNcCLhiGMxKvZuZRkFWFjnkiQjmtcri1dKiul0ikewr1g5H04nkIwWKA79kL6yAiwzyrCGUpVoySiVPahTtQh8aWxB9SQBa+DOtELuhXyFOtk1SpztEFNJDnKKiHVECcwSQzelkcpANEoPpg1Ed85MYDLfnYGCvL3k3GZT2BknSqo+SUOYpy4Ma9UYxy5ewvRrm1XbN66DzEiwJAuW5ik9iHhVdT0PREkGCgzRoQ4W0ujhDd5KN+/FVe1uQGlhCVMYTQtHKW2DpezDoU6SZIzLZFkHutSUtkQ76ujGDOqP14Z1MeQbu2yfjJBRkjHEONYlR4hl0m4Y/EQDuzdjXatWlFRCAIJZLkRUv9njxqPH3y1GX7+g7OQdSiIMubLaglv4l3BX83RxNPUyMShKQvDiSimewZXiEHPYo5a6Qzq0/Bo6YzU2JRWu1ebiUgYM8aNxbdPbITLfnoW/vrOTATqN0LPF4eZ5g5GaA8p8FHSIy7m8piPhs+aS1AxptIUUqbHkiHCHrMoRk3QW5GlEPaTBYcMmAQtvHCUwZPl6pdtU+Hk7NyPzp1/g63bsimYUoCurJSgrIesloTYLB3pIcEXICkfYZRyld25NxuXX30FhZUYFNMxT1grjQatTfGVJbCxKrYTTgcJXghjhr6EIa+8YOXVb5g/UfKZeVpmLuGES9GC/1An0d2qfetDCQqHlTnaYG0ToBpG0CCouTVOXlcsWoA9G5cSs9no9+QtmDxxGM485wck7NcQOOFUBJrWQ9OvH48zz70YMXEICZibvRFtWndAeZBuDZtVH8lUiBpQLgEdLhJdRUPMEGKU7+NcWjCeoJZKH8CMMS/jsWdfRjHbUHmDT24rmSeRCLJNMQsDf0yTslwqxD7S1OVVJRg9ejD+eFcP41HXdkJsSoF2bKI2pRvFWBPGj8Vzz1IYBYiYgCXDJPDKDz9ByeZd1CIH0fOBuzB09ofIZYmwOEflOABViSbK2AfHyFbDct8yQeUYBIABq2eNmkHPHlHlhkbYp/q1fBFBVpbMLyZcvGAhcrdvB8ry8MKj92LapPF4uOezGDThbbNcopUYWtZB1txcVbXPJqpMubFdWo10tdwr55amZGF4jZFmYtxoqAQXnnUumgXqo0mDpmjQ5HgEmjXDmRecj0oqEnN5o2U4uGMrWl/bAYUldEPVL6P0mpRoyqYF6pijYPvygWjz2J8IRFwTxjQVRzXHlE6HMXz8m3j6hQFUcBqrhJNCRkYShuSZSGGbY0Ei+lZSigzE99TRQ3Hf7/4gOTV6UqzVA71+jZXC5eG2JujBj144QtIREo4mUJDMYlEI+GvGwUs3sy7fjtoeaerqZA7WL5mE6eNfwdTpU9Cy232yL0RuBAsW/g2tu91r6KsuLsedndpg6fpVkBMhBpa5NteGBBSxxT8JYiRGblB/KSI7TYFTplJSceeX39rpGizfvJMzJzd3MxdKLleMzJtU69S0tFrmbjHK1VTjyXQ5W5I+B554pD9Wr8g2YlWSuZzTxyeWl5DHkyUUhmLccEN3rF65lYlUNEkKLkdjjC6wNE8rzcfmpYtMuA4yyYSTDKx+xU9i2BRHLHzI+sSJO0ceDVjRC0r0o5IFGO81W6q0NtQyE8mgmlfIxbXeJMWVFKNECGs/fB9vTZuOdjfdinmbsmxuK9Sqmno30Vb7BDtF0yXYbNJJxZQyt5/WhHSXO+1cV853iNPqRBSTJo5F967dWJQqh+19sHotWnW/xbwEc6dZ5s7O12H1+k3WjzAejRFOjkU8bWNi32HCGaUgJ6wPWjICqBm08JU2X5ruK6cJnW+9C0s27LS5layc2lH9eFTcRD705ljezBSRMOFQIU0xqGD7/vlhrF++Sj4Rijk+jdYCi5hwKWaC8vzohSMk/YPEzxsIgbmBZAbByzvBYlZMA9AElD484nQVqkvxl8mDsW3l25gyaRju7zcE+Syr2tuztqH/0Imo5MOh7N24pU0rFIaKSXRpLgegNKosZLqCQkGN7FxAJ9ByrwSDFlVSmlMQocU5O9Guxa9RzslVMZuQVpLLIwaweYGsYFzWgkaFSUECL/j9pRhbJGEfm5dsQudru1A+JC60KyR2OEIYVFFtUUXk7tmMX197Myo0ZQuTqJwTOEvEfrQCoHlBPIy3J03B3HU5KGIto5k0M7NkGTXPEVsnKMBqWlEeqgFhWNKV0c9U9LN4L1GmQ8dfsREj8aV5VipOF5jCbnBIwDhz/4Bw/O3dD3B+819hW2k5Svy2CKeWBYRXwSXyqT3NPZEiHSWoxL0WD4QrlZOltbmw+IA4GjniDfR5tpcNUN7L5pJSPDroVTfeSAQFG9bhhhZXoYLzW2HPCSfpSRjknScrRBt6JVSeYviY5oqCilZKizLm+GqKUF2OvVkbccW1N2E/ySFRkgU1P1Y8wPaMF9hKZaTI8jUNMZIJZ3JV2OauJYvRtXVrLXWYu65y0QhhIiwULlkNYeawKIR5Qbd+zIQjJn7OYPXVFwnJWyFQJlUaWQjZu2sDrrnqPJzUNICnH++DCSPeJIJ3odejt2DojHdAkcNDzw3B/kOaaLIGmX/c2JHo8/RTrl0iKx3JxU03X4t6XzkdeUUkYvogfnvdr9Dk5LOxKTdtrqG0kwCoihE10rD06ceNopvWdwDK6XMZYtme3B2tbiUqCzFj5EC6LwG8OXmWae5W3X6Pa2+6hXBwUh+hrdOAJLnFlbjirPNQXF6J4pSEXVm+hiTxUgcwa9wgPPD060Yc1UtUaGRB7Nq9Bp3aEFb283yvnrjn7h50h8/AG5M/MBhvbHcNbrzhtzY9Ur8VsQJWj9MSUgkwTSA4eooBFdm7EmtHg8Ph3sbHXxMuMr1ZejLXzu2folPrq9GUcAx46gXMHDsTWVt24MpWLchU1Sgl/hLJSkydOBynndoM9esF8NSTL5jLFqI7aNYwVYGnHrobJzSsh59deDGee3Us5q3YYhaM7GiLVKJZn0cewKyxpDMBevTpgdhaVopSlWBb1bRec8aNwkvPPEH+p1BSEJKhPHTt0p5ThO+SvhwM6Xdbh1ZofMp3sf6AW820xRgtDFEgpOC0vovqEowb/jKe7D/UPJwKoseELl2BSSMHoWHDxnhr9izWK0T7ds3R8Te/RymbN7xq2VNmUla49CAuPfc72BsMYi/zrT9Gofq/K1wM1ebX60ZPvNdKFImRvSsLLa+9AnuyFlNG8vHa6xPwxuBxpFYufnLOCQg0qk9//FR8v/n1yJfi8xD20OP3Y+asGaQGqROPY/WiWViy+B2cevYFGDd1DpGyDxuWzEDbm+8xt1K92dKruF4mQBYpWoLuRObi1ZuFI1odTWSrPddB1qIEM4c/j9ljhqBzl9+jR++h+HD1DrKhmpDWU6sMEtbiXFxx5ilYuWmL9UcWsqmM/HQRHMH9+O31rfHJtnwcEP9L6mh99u7ZiStbXo4t25eyfCkGDx5E1/FWjHnzL7i5293o+dQTWLd6FbUrh8koobBVOrm/6ieiBQ3eGD3VsJiYVx/XSrZ8L/jpFlSeTld1EDt2rEOHDi2wecMKs9rDXh+Pgc8Pxacr1qDzjZ3YKueQxOJYzl0u/eWFyFr/CfJ2bsF53/8FFq/YylxaFWLmgQfvwW+734RI0QGsXL4CgePPRhYRIpdWc9iqlCxkOc791mlUJo1RL3AifvbLVsinKygBjngeTs+HHsQ7UycTd25MS+fPxNKP/4qTv/tjjJv2Phssw7r576FD93vNnZfdMgtk2oxWk8JOp5Q0PoA7u3fCghUbTalpgUz5VeGDmDrqZSqQ8bihfXv0ee5hrOKcXwq0nGVULE23x+bGol/ZXlx69jexhNOHQrXDaGhkQRMuW46WK8Z7WQ3NBWRNNA+RJVHhWCKOqC3HSWg9ImnimCHI5wvVpLyWWG0xQzNh2yhh+8kCuhMF+FXbDli4dhNLOiK//+F85B4i0+3ajU5tW6IsnE+XLYw/PNIHlayq5fNkugCt212NqZOnOP6Q4qVvkoiH0LP3s+jd+2n2UYpZU0Zj/Jy/QYouzGFrzmVEZiuI5qIoZw0ua9XWFjKULFijbE8KS1Pdas6pkM5H0dbVOPW4M9Gn1xi6e2xL9OdVmlJulsGe2IHb2/0Uw2fNNjdWwhVXYf7XnLIwKxutLrsSJezasJvMJQyFuLrFzVi8IZeMVcY+S7Bg0UcIFZWiLGsXTuNEv3e/gUZI6RBZriS1vlbpxMpyc9W8hNgFHxk+3byoerLaehC4AoC31XJp6YZXkQFbtP41VmxYw2S6usT3/EUrcbAgjPGjJ6Jfn16sdojDKMEZp/0I70ybx05pB6IFVDp3YvmnO4i/MmTnrMXp5/wU+UUcPeeqKxfMxdVd78cBdmcwiu7xLOTnLcOVrTuAjggqGe+77xHDl8AKhmW/kujSpjNmjp9B0DVGjYlsX12JBx+9F8/2lTsZwoxx4zFu+oeO0TlGsbZbaGEtb2/x0N4taN2yOQornHWLkP+0nVPNtsQj8W2bcE7TZniob19zw+USCs+yxpqvG7twzoXoftzR9jKMf2cR9rOM4JVnoj3BgPSdPVC6fQFzm7IUNA7aFy7FlKlbDtETLrM6Rxl84ZLdNIpG2ScnoVqlGz+iP3q88Jq5A3IFEA9i5MRxFKJqLFy8Ep06dGQVMl2yxDSTDZzED0cOokuXDnj7LZpzX1FrUYTtjxw1FB3aXKOCePzhx1AYDhvyhVDBof0KszrpQswcNRBPvjAQxayqcYcrQwal+M8wIALE9jEjHy0vbI2Du+miSD+4rtyKk5WlTqxcg9vb/wgj3/kAOUwrYwNqM043qJoT60lvTkP//q/QNaFN5DwAyb14d9gA9O47FoUcHFUGSpJ5eGPEYMeEZYW44pzvIqcohAI2JMYQTDFOsKIpTd7dQkYk6gTMBQlXLcvlwalg5aXc1JCQqcaEh1QBZowdiN4vvWh0iLNAKFqMERPGIkyc3nj9rVi3ciUbKKD7uh5nn30VDuWxYJSsSFftB+dfjo+1QEPF8Mni2WjT7Q/OOpBms998FX/q/4YJl+aZNperzsLyhaPxq07drT9tEMvaCOpD1CDCaIpM3+naG/D+nHlU9lGyTAWNh2wKhX3CIFrSlryP4/FHH0NZJeuyP1lwdat2tAVNpHOcEYwfNoQWuC/xRrdf/ZCXhZpojDSQ91KQg6vP/h62UiFoASlE3Mh4igdEW6FK/SK0C91bXoyRUz4yISRnEDb5MHEEdOPWQShmJE6S/rp8XxHfp0JJWbEBIe2Y4FWblgZJDfU+d/CFy1ZlNGCBrI3JshzccV1rLNi4y8ysGLbXE4+jNFxCcJMYNm4sXnxpAOtQNBjnzZuHfgNetGVStdOhdSvMmj7DMRzhE7wa2/IVS9C96y1YtyILf/3LIrZl247Mi+PPD96LMmq0Sk2sOZ+6s3N7LF2/1SyXW9XluAlHJRVATOv9mislCzFr/Ov46vFfw6fU0CJOZTiEpznXiBC0SsM+xxTfiT91uATDpn4AbUMKq5VhjlNiU1WJa6/rgo/XbiY0ogGJWrIbv7u2BVauy0Ep+44TT0/17IFInHViZfho5Gv42alfw8L1280SapNak/uNm7Zh6bJVEhU88dSTdopBS8ouqG3hwROu2lE0llKtVQRayk8cwO2dLsf8dZtsbivZ69mnB4pjebaZe9H5V6AsT+VCWL54Ic7+SVuUafISK8XmebPxg4vbYLekJF2MScP7oE333xu2kchF1/YXY8Rf52MPH8WM2jtEbCf+NmUQnho8CXkiXjqIVXPn4PHnRpjbFk7TktLRu+6G6zFpMukrxiA/Oq0WxpoVf0eXzi2xZNl8vPv+22yU/Mx5Wc9n+3LaUGmKWVsg6QiBYn83dboZG9dnc55OHrR9FNImTDhEWyqRD0YPxE9OOxkrt+W66QOLkF3xUK/nUMarNvFtoSe+H3defy3GTF2IfKJbLWkfT7QPCKuayLklcQIqgBXFUNSUYXYo7WYmlVH0iMuaqLQ0zlEGCVdmvsWWU2SsdIKyHylBy5/9hJPdDVjHCem9PZ5BsJJai8BGieaOtEwTJnLCS1evmrDd0PlmzHz7PXckhnA+/iDnXFOnsKxvPQg1J+Y7t21Ayytb4A+/fwrlZAKtYkXUH90UHYuS4MrlO5C1Ex2ubo2SmFtM19KriCQcaNPTakZI+E/m4rWX+5CRH8fTzz2DOe9MwcH8/SzDEhxWRAwiF6Q4G82//Q18vGafaWRZWQLPWGILFpfSrz9IRtFpDFtRoxK58vvnYNHyDdhRWIkejzyB4oIDiEWD2LhiIab0fwrP/ul3eHTAILw25wMURso4Rq3ukZzsTspAHobQaqjNBNFK9OWlTqbSCZTB6261EISiLFxyzin4+7ot+JTu+O8efBD78ncSRwXIObAZ3/v2T/DpJzswdfgo5Gbvxre+dyly8+II7dyO80/7OsZM+9AJU7wQc8YNRIeutxnjjX+9P65veynmbthiFqHcYGHHif3o2voSDJrynglTuiwPf+zSDqOnf2SrkVo9Fc6e6vU4Jk2bSd4k38pHs/qk267NuLz5T/GnRx5AuY5PVTllFCJCJMBSarZ7xSlGae5utLyqE4rVsP7bFIgIkJIhz6/7eC7GDHwMj913Ox7v8wrGzPgQhQV5lJEY8klAUwiMci/jhdm44JzvYM3mApQwUZKhBaEw6WjCpRglw9iZMQKajtdYLcUon8Ocb0XoLsqC2XgYv0ioES71kfJ29RnJLM/1+DMaH38izvn5r7A+64BZAZ1Xy9m3Dqd+sykaBAJo0rABAoHjEDjuW1i4gr69gRrDtPEjMKDfk+YyaFE4mSQqUkFa+oP44fe+gxVrs2yOJvbWOtakcUPwQr9H6UuH7AjOxLGz0bvXKyiV5mcZQz7NVjQm90OuSQl6Pv4A7vnDXWZ5pSkD9QPo0/NezJg6zlbB9pCuYiwJZGj/Xvzw9O9hH82wWrDlcVkhur8TR/XFIy/2M2bSXo0tuZeXYcBjj6DhiV/FGedfhC07slgpiUf+/CD+2O0mlinCliUfItDwBDw4cDD7qUTO/i246qq2oOHEmDGT8fyAF9QT3WbR8R8Fh3dbIdO94FK0e468/AAG9XoUgabH4/SLL8f2HDKXtDqdn5Ly3fjuGT/CpRdeS6tDLEZi6PvEADQJfBXHN/4KXhs0lPNcNqP9pOpilBduwze+fgp+eN5F2L05Bz8476fYU1mBQ9rTU5csdyB7Ob59emOOi7HxSWhSvzG+clxTfLJugwmGwRQpx6gRI6nM+hsTB6nkI9E44hp4qBQ/OPtMLF6/w4QYVfsx582+ePqFF5HPcWk7RYsrSJdgwpCX8HTvV+2kj2ZACTuaJb5O4rH7H8C9t3Ul3IV0e4Xnr6Dn8y+zwRJMfHMgnhk4yoRIp0LERaX5+3D2mXTT88qtX41Iq9a6C9ghU2lYLSxQuKooSCZcZHo7w6dFDRYU3iWG2syze87uvoiA+W6hCKB+nF3kSKs4SDthwP6pmUTOqPiAUIhlk2FyabVjGiFYTFxOwGxvgcKVt2s9Wre6GBU02Tr4antSJErJ3my8MqCfnY9VnSCTpeW3b1+PeX+bTgHKt/2WDjfcxbnCHkOU9myqhMQEbQP99CRdFR1YjXv7WxGm2yFfiQ3dlj1bNmDa35Y5C8Xagv7jufPxm5vvsnFouVf8ZufbSrPwx66t8PH61SgkTLI8TuL5wD51W0786GiQO9eoepwfFu/nNYwKDl7jSKGcNDmE4cMmm+LNzs7D7LfneI0pMhyRUMYGwjKvAoBJjG45mvBp3hCppGVRD8SvkiX8piKYL3KwP/GBzdHFqexOe37Wq9qjezR17Et4e+pwg51g45MF29Gh453eQoU2j1WP9ZNSMZUmAFpcUH1Zp7CW29WRLAtdggPZ29CabnNuRdDGL17UvuSBnVl4eeArlqZFKiR2o3z3Irzz0UJzx+WxWjvRfPz+5o74eMVGo7F0u6Ymmq/SNzE4TeI4ah0GEHVFMiT24tCeVZg5160cukMHUcz/aBG6dbvD9mkr41FvvmU1JFyqzoJaVpTVioWxatkSnPyVE3DCCc1w5523k8AkNn1bVVa1Su2j8OrmI0cXJFwah3fqxBhKS71avdRAzVWg0OtgZyjOeaHGK6SFSQS6eRG6pCJQsZ1cZ1AjmvBzMt29azvM/XSjMYXqlO3Zjz/deY+t0sk1sJMS3uLMylVrsGblItbPQ8mBDWh+zU3IJUok3uqXqpntsiePCEKcFEEZXVK1YPNVuSEVpdi1fCXmLttgwhXhjCiVysNtt96BJYvXm5uoIzzCtvB9aMc63PDr5jZPc4LMyB9z7winJuO2TUI3ppos458mSQoG2zLghZYpUb2PXsV+DHtjsnmhK5dvxoYNG1hSjrFTQsKN0FMTNTNzwi/lYGf7BADblLW3eloeZYchzgvttCPzNFTNxW0KIWD4LI3PVN6wDC28+KNMQpEi7qor8Zt2l+OjyWPZUArFuTGccVpzTJux2MppldoaJt8hyvL0jgSfmnYEZ8+kk+5MwUrownm4/bpfY8W2nbagEwyVobhwP/54930oDabJFyxniCrC+oVvYwH5QO6nXLlQJIzy/L1oTbyXEI/CTsTmR/JwiG1zM0lf0ls40t6a6GBjD+3FhsWzsXDTZhzQsw43REvRvdufMHfBWnZJEyRXlG25PTsKV7VWhphRpU5InZwdO3Dmt07HmtUrEQyWo227Tli6co2RQpuMEVk6NsW6XvCwbldGZdRkZh5rRwVfuHTYUbVNe5GBRNqgtzhhr2OIcOpZF+NCEZYMwVvpCCWJVRLasNWMs7ocO3etw686dkFOeRU6te+Cyy/6le2sG9Pyn14j0Zh1enzKjFk4VET0J/dh3Mi+eG7QCBMOnaY3ja55kBiFQMakna036jiqPItayhZnkjk+HD8J+aE0DlDL6vDv6Df74447/+BozQbEiO5cNTBt5DC82rsX2yXzsBuV0RA0Ho1NeBITy8P3hUvdW7oa0NmglBgjDzl712DwoDEGxrQp7+LQoWLOQaWrhTSGWsh3F41BVBRUwgcZihkSbtlMO2NBmARoPMU5KQUwzTmoLI8acIsJgi9JmHW+j/i0jXjCyDxHKrZKd3zT4nn4TpNGaBZoiJObnI5XXppkpNZ0XfuLEmyzlvKXI5rbOlyIHzUXFqRSTOU+UhKFKMpejavaXU/6JtC5y3X42QU/MmunImIBWzOPFGPe7CnYXVRqVksrlao+etgb6Ne3N0dUhXLCbnuDxKMtlFvnGofNztyCGNOTQTJPshTvTR2GrOJD1p42xaeNGYbf3fmw9Ws4sByOx/hQwmUrJUQHNaSWIB/788MY0Fenfd0eV4f23TF56nu2aqWzYEK8iGInwQUM78lZvBfTCzA2zP8itFkmQim4VUrM449BwqVg9/6NodK7NerWin6G2q9dTj8kjGN89mNn/qLIy8tDu46dkV8eRlAYEvYIn+DWyp5Op2vDdczE8bio+S9QVnGQTTGN7Yk51Jp7tUBP7sSYYHc5VEZEoKyfmMNO4pMRJg8bip9cfCUKmPTy0NcwaMgr1p4RvIrWt1qn8Z2ra8xkpkqZLqgPP7ofBfUna1mTZFsmitL8tA4rl87DtOkzDb6xb07BL35+qWlpCZHcflNUsur0PNSWLKJWyQRbhN2LOWykHq1MqcgtsQ5d/xkALK0mWNlaUdmZNqweo7SBHr36Hum9sqrDTD/PS/fLqy3xXlicrgxTGlHk5h00+h4sojvPwlFTaOQxTfaIG1mfSePG4IJfXIIy+rQahfLDYeGFYybtauBU9IN71haNXF73xgNrUBGMGzUMF15yCUqI2+HDhmDY64OpYIg7Dc80nlPY1gqbCaineMStxGjy2YkAf7JktTUWC4Vx9vcvsWVhmUc7F8d5h4RL9ZKkRrX2pjgHsZObnC/pFRHzo5lvlol9qdsy2mt1q3uxikl3nUEdRTAsaWQ1j2pdqzpiqHAoyHkOXQUvXYMXnhxSxWTS2iQM75QmK6S6Ykgt3CjNh1iW2z1r7NSwHJytMPE5kaA7ICEjQYJRNwuTto1Qi0sAnRtF7UgcydqpRWtMGtaAVwqvbgDu6t37SsiVEyMKEgk360iZ0aRPHTcSqz9dZfs1qhfTqzosbfNjCZc8ADvXx5FyXqojR2pVXpDeshBdKmg1DAqmqRe3h3mk6ILqK36RoPoSDMVMgh+UxGdtiGsslmU/nHcKn8Sj9h81XdFsSVMJtSOl6b8wGomEMjrCudlsz3s+PGTQzODWA9iv5yvr6tNBrwTJhdTJet27NFGc+KQ5jsXo2Xmr6IGoHEsxTHI3Du5ZhtO/dx4OFCVRsf8AunfsiId69jd/1TUtJnNL1u50sFLp2yfLceY3T8JXaf4bBQJoGGiAenQD6tU/DoEGzfDTi5rbu1kiol480yAVHPBfIKh7jkOreUKq3heyNBJGexdywMTc0kKKIpS0kTGPxsH5VJD+sVChbQfDg7S8/G4+aWNWV9XIENhKswM+GMK1hE6r5M8N7K1pJuv9JpXU+Tc7j8g61qpOs1II1Jbydc20+U+D8g+LhHP88Nfx4N13sh0yGy0hh2iNCs9iPLWdjpTjrFNOxMmN65MuAdKEkfQJBBoh0LAZfkz6BLXqx9JatTSYBKrHXHWjCyrjYD/6oPrCqxMuLx7WsHBsr3tQ2BWtjJS4nRbSNIVzcioZ53arNcEvr0uM7/BcEXSHAOSyiv5KkwDYYYh/GFiXFlB8IWuUSJCCpJszCuQUWTQGKVg/T7D6QqgQMI/JJuw5WLtkGs66oDk25pThrJNOwl8mvmnzGi1luqa0qEFG0q2PBJsXsZR8Zy0AqBNNIpinbLkaIprvfqgdIUkAuQE4gI4usglGWVC2alFLw0pTSoU2J3VHJpRwWb8UAhMvIk7CLXjsLVgKlV57MOYnsURQ5akdF30Rc8g1Da9bvZZOBaPRlGvTVgtDyhBcvPivyWuKrEMHNvGnAIqsYg+1a9ZIroxFN66a6I/Vz3dRmtUOpJpCiSMSc4eX9VKm9s11r6ge7AS34NL4+CxmFijKl6su2Gu77HIZffqY+1kr+vDY+OvAd3RRkPhRz37D/q0AEizerXtPzOCiMglXGv5EH41J77FJyWqMKicB0wl81ZNcSrh0NWVrXof4QGOoGYcffBz71ktBFkpC6YRMcDlLpeBbLQXlC+aAXIO09nDSOXhr9HN45tXRKCK0Jbs2oU3zHyP7UNRWZTQAnS3TIGz+pSMpEiK5HXKETLgkpAS4lnBpCFoRlHCppJ5lmuvXr49Gjag5pUm/UKxvV1lMRdPM9ZhWvxEaNmmKRvUDaExNXZ/XQP0Glh5o0BAN+KzT2wHGxo0b0toG0IxpOunetIEsr9qldq/H8vV0df3Vq1eP99pjE+wN0YRtN2nEdFqFhk2Ow4knfMX24Zo1bOJgUb+yFA1cPVn1BvUa8/l4Wo2mrl2v7X8U1Wc9llGsk874lUbsV8/M03iPa3w8GjdqZnh2K6KknGgkVyruhEt08Wkjuoo+0k++yyQG9OmjPmrHmv6FH4f7LxwNBw7PGouiPB+HY9eHaGXj96LRqzHp0ID5DRWZLzwzT2UbMa2h0lm/gfbO2F7TZidyXPSohE/rg+UPG4fDNWnlPbs0l964cWOceOKJlta0KemntskrwlWTJk08gSWvR2RwaLlsqVHzpVAOnr3/VoyY+YFtauodqhefvAfDpn9gp4tDlER7J0Yawibi/C/lJq3Lede3v/l1nNi0sQ26fkDAyy3UoBrhoksuQ0nQuV9mPTyT6gNxtEGMII1nmkVunawOe1E/ukuIW8ySuHOTKivrYUwkDjLm41XRyrGuvUnMdJWx1lz0yynNoqoz6lyefHy99ar0sD6goxtr35U3FKuuaUcmMwoGwah8v+268fBQk+dbL1lb8zokOExXl3pJUuOuDLntEkGvEyVnnvI1nHQcaSKGqS/mEUM5BhZ9SoP+azuH06emXxddUNuu/S8aHI6EY+vVXwDRLaNZR5axuSNLOVwqg/POhD7Kk7C5pmtF8HkWnff6rILmRvZCq3JYWZbMhbrjOTz4lktl3JTBhVBICoptEU8KEihZqrIyk5o6PB3QqXSbN0QKcEeHlli8JdstNZbvxa1tr8DYd+fbPsHy1auwddMaCpY+FMLBaJRsXwN0H36RwJE5YzTHWmvlaIzYLCeXQ2BqWBIuDdSk3LB09MF3KKx1dUbs6fCt7327+Yfgcsi2fr1oD4x6M9a+akQqZr6vwHbMp+d9prz14xxDFTEE0H3UvZVRtmVwnDZ+x/gSYhNCuzr31ASLaaqjKv443FgUHVHrxrrBCZeDwRQDy+gbFmrPDkaoDKNt8MpVUjnCpMUA/zC2GFf08Sf7RiPS1up5Wvgf9u/FLxr8dtSbtZfpzsOH14mcP7K5Z40VtHCllWsHt9I1N3KLHUIA51c272IexyRcG40YJAxRHQAV/v5BMJdVypFXuXy1XUYfN36aL2AK/lU4DvBCr66cM/AiXPL9MzFk4kSbZ80ePwKnn9AQu0qDtu8jjS/mEJvaYCQpio4kbkBKVH+M2gvxmce8R16jpLrTRK6MTf6/UGAfJjgOmZImEUQ2yte+9qq6iKD5Fcto8Bq/aCTcmitL2MVgcpGV7oRMQLtVNcf0Nmr7NfhTxFIyZCtyIqGERcN3tBcstGDStqpqkbXYoZjEteeCa9+PSnf91ES/gZrgLKBvvTg+zhktjXnCucauexHY/+ycjcW2XVxbEiJjON6LPrrWoQ+DYyKVd3VqBwfvFw9+O27mxOh15/BEJWD4VI7OkmgsynSCI3yplqYptqrow1trwcO+qcEga65+/JU8147X+BGC+ETt1V700DzKFyzdq4zfnj8Xqy2EAZsrRStwcOdWtG9xGVq2uML81gsv+AXWrdvA4cSxac9WNL+6jS0vixCm29QG792PhxgDmBcv+rcCx49+Ws3N0QU3eA08SUTLBeKEUjvFbDMa1uKsY2TBpFUv9S3t5p+ftL0JSyTJOBfRgVqRQ195kvCpTFpvDMilZLR+eNX8xPrVO12JEutBdlufGLDebFxqmLD4q5eMzg2V9HFSrNck2L7S5MYZGIxSCjocLKZSf1oMEfzWxmHBCWKt6JXxuqtV5bByFuuWqx3/U0FMaIqA0fq1jWhGPktJRW1+yPFTOQhPetIOlWiiTVR/MUp4k3CZnROzy1rJZZFyVGPeoD47Pi//SwwB2+2tiuGt6ePQ68k/c4x0CgmkNLH7IGIZYtVlGD7hLTvPJoToO4HGmBloja1c9Efh5emion7MVKlV5miCEGlLxeaLa79K7iD7FxjsyCwWrZq/0qRXTzQvElPvydmF1m06Iis7h+VVP4kyDkGvbxiTy8yrbWNyEquK46USsmNgpplYKnIQFfs24ZdX/trmqL5wKdqKloTS3EK2QrPvPmzq2ntj0PMY8kpfW10VHoNhfbdPGwdkHu2hecLlrh5ODwseO/HOiyrD6F1qhVplapVT8G9rx/9UMOGiADieIC0T5Dvi2OTCSmjsEUyfNB4nnXQSLrr8Mhwo5+xfLjDpoJW5MN1vTTm0gaw6zopwjEKqZ938UHd8Pj688l9ScMLFgdz3wO2YNWs8uZCP5De5CNrVqkI5J43lePn18Xa+y70fxUhI9TkqBzAzfOhrx1q3QqJDpBdqlTmakBEuEkRaj2KEEiqGc846D8cFGqAxJ+46OX/cCSfh5yRMMHiIchVGTs5etLimnR1r0bcmUM2JPOeMeolRc02DlQKrq3tHzAmX9tA0k7ONWo0/XoA5YwejV/+XcYg00mqoNjIzbw3wx7m9xBEn2PaeHO9jEQoe68+aNAR3397ZOhSJffzYm9nqyYTeI7416EUv+MLlBMwSLNYpVushc3tY2n8rSLjM0lDhmBKxJXTxlq+cYli8cC627Nhu50h7PPIgpk2dkMGTguprDi8saSz+AkztdxH9UGvYDH6eL1w15f7n4V/XC8TDQTJTFF26dsCq1UtsfKkyTRSraLno+qQPYXf2RgwcNNG5hXbQN2JulQZZB2j/oU6iu/XLZsJhZT5vcMIlwfKYn4Dr+wgjR47EXbfeIU63lZQPP1mGlte1Zw2OJVWB9tfdgk8+3emRkWWoOGRNZLVsV0wfHWGbOrEgPWOvvKe10+/eBpDwpOSypEpx2/Wt7TsbOiVtZdmOymlYmqNWRsg4qi8YGWKc2Mn31yIQEgfxwjP3Y9HCpTbXU7Tv7lHryv10r3d4xFeDfvRCjXB5wcuvU6zWg2BXrJ2WKfdfCE64ND4vknb22pO51GJCUoM4kMiVU7jWLp+PtyaPMSVmokNcaV4lN1yr1wneuPcMHdPLc3FtuXHWGjaDLxgefi1+3vCv6wXEWNIcIduJZmFxHfsMxXQoiARO5WPTqo8xetI8BA1WMjK1tsDSqpeSaoBm+OxIjpR0hITPF3zhsj06O3BE4eLca+LE8Xiu1zPkbI6FcrJ2Ty5eGjOERXajYOdqXNHmNzjI4nYI1ggYpLcWMoLJtYPeLk2H3TOjEYzMbp9l47P61bztYNZmdGjxaxSF0jYf0Ce8dJq8Wq9OUMDEFCZStHjRcocvPduQJTjVRViz5F3cfNNt9h0MW7UTTKrC+kYIMlwGT370gi9cGfx7+S6NY/fLW6ZjI8WaNFf/vxV84dK7T3ayxoPQfUyGkXhM01XUy5SixcwJr2P72sVO2Ai2nWAXLfhcGZcxcMPSkSeNLbPZzKB0Rb+MG7ei+vTvP2/41/UC9m0EMpc69j0++UxippQdqz+IqWPewNJP96CCsNiye1pvvzpmEXi6zwR/JH6sdes9uvCZhM8XnHA5gO3benLvqiJ44onHMGvKLBOsl559FTkVEhSWS2Zj9piB6NH3TeSzX2M0fSshUYK2116F4776DeQVFLJcCW5qeSkannwWthZx+MSfNKBW4DTfNISy7zFvDMHzffrbAofIGNZ+E+/S0SJMmzwa9Ro3w4Tpc2y1rkvnG9Gyw42GLx0sTUa1c1iERPAAzj33QhSWOnhk7YQS2x5RSm3hUt/+vV2cEKmkJXl5RxIuXSSuNmY/nWX+fxAu0U+fZeMs3zsTyDHTJdy1Yy06drwGgYaN8ORzfTBp3DAMfW0gAvWbYMrsufYWRKd27XHDTd3s1RC9vCivQuPSyQ1dtTTvD1c8Wle4PBzb/dHg4V/XC1SSgDr3ZntBnATKY7E6eibzzZkwAnffcUuNJvba1Jm8fypcfkEvakB1iJkpd3TBhEtzGsKctCNIpSRSIc773tmcbzVFk8AJ+PnPOAkOhxGsJvemd+GFJ+7CkBnL3LcstGKTKManS+di6aJ5OPOc8zBr+hQObDfWf/gWOv62h31AxdBBOG0vSODTRdGbt7/pfgdWr95keWJnEVZztMrKQkx4czCmTxyCzjd0wJN9B+Hva3Y6/Nnw6SmkSshDhILu7A9/3BwLP8myD2CGidBUWhP9WoT38aS6/r1dZEk1L/bwr3wr7gmXe7CoSx3hUjZ/HD0Oj/+ZUCNc4iL9YQwJBAUkVIBd2evQsnU7fLp2PdMqMOT1/uj/2jAMGTsNI4a/gdtvuRm9n+mHNeu2mweisZlbmNYRJHMaLap9DVf4qR3duNW34tGO+1/XC4joEi4tR2slhmOGLe3rzTu9karT1CS2veIvyJxyMALqAK8DtlbQgyX4nbuoAblBeSFT7uiChEureu4EvgiUi9w9y9GyRTuEJGsE/+E/P2ouBUnG5224pf0v8cbMlZkv9aKaBeUG0jXp8fgT6N+H7mQ4H/Mmj8ToGR/gIOGTcGnxQy6wBElvSRfszUGr1tejuDzp9leoac2KeKuREpqiHatwxslN8HDfN+B/4EVWy31ok4xUXW7fxWjb/hZMnDY/M+9SH4Ku5k8q8dGPQh+v7rFGuPTsJfJ/LaHJpLnxujF70YJXrk78zwRfuPQWljwOx1gxWvN8XN+hJVZwLmtbVFUlWPzx28gpqDD4i3dn41tNGuK5/q/a5xqETa0W+q+caAz+18s0TKV9NmqcPkaOdtz/ul6tb8V7hWsjXozi7Rco2bK8G3dx6f+N4IijG8aU9j52Yu2CyWjf9W53il+nLjinkgcuVCOxE93aXIBRb68yiyRyaoHD3jKmezl09HDc1L0b6RtD30cfRUVlqWyMmwuxH5W3dugqTxo1GL37vuwEj9KgOWucbqktQoheeh22uBiX0IruLIqZcGkiLjyKodyr9PosWAjt292CmW8toqAxm2Ox705YIxIslhP+/XF6V92KQRR1b0E3mYfPhjrZ/6Tcfyr4wqVv0etYnRaDUrxOGTUMAzRnJgqkbEqp/EZOGkH9SdxKu5dU4PKzf4isg2V2uEFTFWFLL/FGklqM4pMpOeKI+FKeoj9+3ZtwGW/rSUj9ckLN3+c6xoIvXHZ+0N6izsI7Y/ri/mcH21lInZfcsnI+Hu79gjkeCGfh9o6X4I3p7jiXpdHCuDOJKSxYshDtrr8ey5aswcIP55MC5aRRMR5/4imUUbIq2JfqVIeLcNct1+PvS1Z6VpFNU5C1+KMv/kg4EY1jwYjh+PEpp2LR2mz7np0IG6NJ7dW7n+3PqG3WRMf23TB9xgL7oIvbpmFJWix/4/ofC5djEt0fi0H0s+8l2t6fpiYUMlqw33S+ATtWrTNNFqFWu//ZXjgQ5FxYix7BciweOQE//uoZ+GRjtn2EUx6BhGrVutVYtmKpfYYvWlFpZwiFI6FU0cdTxpiIeRS/RAQe48Il15DY0ZejglvR9ZoLMOadj+wUv4Tm+paXYcLb7yKoiW50L/o//DsMmzEvI1xVckfofunbHftz9qBVyza4+/4e7hCmtiGSZfayp4RIRKyIBFG8bzfaXnUFgvFqVJJSRjxe3f4fW40XYNvi2RjX/zE8/cC9uP+JgZjy7lIU5tIZjcasX1uVpMjFQzk4//xfUrC3moWUYhbomtwfcZ+rlnC5qIRjM2SEy85F6i3BKA6VHMSFPzwPm1d+in3Z+9HjsZ7YVVxInNEFDhZj37IlePOJ3uh3/+N4pM9AjHr3feSWHOBcV9sphlRDjBZ42byngGpiBl81CHTxSwrHvHCZpo9V4NDWj/Hdr9VD4ISvI9DwazguEMA3T2iCBatWkWxk/HQJZox4FU8NGGqWzXlhTmuKwMlIAuee8yOs2riF8yhJ1EHMHjcEPfu4LwpVpvTVhTDmTJ2M/r37miCILeQyij7aw5KL0/fJ2/HAb68iXIVYufjvCNQ/Bb37jWCBGOZMnoinnh/iDkZTuPbt/ATfOO27oIeDCBthr3QvNZNyG6sOPq+D2jETjm3hEv3si8ocsT4Uo/H2e+YZOwDw8/MvxuZtbiGoPBFEv56P4LE7biOiEtiwaAUCjU7EPc88zZph5OxZj2tbXIWXX3wNvfu86uavrKetDec+a34qfDLB9wQU6+Dy3x+OaeHSmTP3uWvOsuJyvkIoI9eLIEJevFIv0wnB/KUV0h8IuPKajiiiZImkpsnogumLV1u3ZGHwkJE2ibbN6Soy//Y1eOfDFeYS2kda6MrddOPNWLlyky2b6/tKIp72wuw4mP0IDs3q9Hd3KbQitDqLliKX7U2bu8gTriBWLHwHnbveZpYxzHKCu5KC7r5VQrhsv0tcwCBGODz6ecdgyCjHtFu8EePrPKGdVtewOD65/G4XlnjQfCqov9xAhUNFJsUmvEXieSx7CKNefw0H95dj5ttLnZdBGov2atdoZ9QSXdm4176h8EsMx7Zwya3wXqUQq2vFUwjVdyz0Rq6wpy8MhSNyG2i/6Nbd2KUbVny6Ce5PbArRSRTn5+G++x+yd85stU5HcShca5d9hAVrd9sfSdCntg/uWYurWrTOEE5/YC2S0qfP2L/qqZy+p4Fy8kAJHyl0SrfN+UJsWvZXzN+w0cSvorgA9/z2FixdudF9d5FpinplPWJfJdJJSc9yKaidw6OfdwyGjHBpDLTWZl9IC9/V13coNUQtr5uS0ZxL+2B2NIp4Iv30HTKgkFl7MOLVQVi1bBsWr9zvNvVVl9F5AFowEXaZYkrQMuzW0PglhWNeuOxlQQpXJFZpG7lClvaKdFNertMbbqncrjQhO7fvQNvW7VAejtn5yU7tWuMX55+PypCsBeln/EqCFO/G/PdmYkep+6NmsjxvjX4Zzzz/oh2V0lElLSOLcPrmuzuYK/o7QZNw6IM+tpejU/CJXLw3bTD2VhTZ119nTnkLd3X7HRkH9ke7TROzvljBPgRqbYt5DCDHBYp1gpd3DAZfuNxBAKohKkH3rluVbQjXHm5Cn4+QwhOdg6KGRJG4sq8052Pfto8x6rXBmDzuPewrAA6xqKyacOpsnBx7XYlPoYxRbQu7n0HpvzEc+5YrRQbWC5tMM/tlPjzvvbNE7pR5CpWVdMbstHQKeXv3oE2H65CbT0qQmDqjJiTLJRTCbZKdLsfk0UNw7iVXY78+06uVxViJfc1VhFN/7o1XfWXVEVx/mYNgWTvaO7RPdJvW1V5aAaaNGYifND8fz5ERBr7wunWmPUX1qahFDcEhdzXzp338cEQuOPaFS1bL6MigPUP/IK7wa6dZ7C1g7cMS/+ahyJJJYfLWLFEeNi9/H9PGTsC4MbNxYfPOKKDp8q2XEy4JoZQeKxnh3EW+wRHR+m8Kx6xwuSDiiBQOSboTS4o5fQoZk1s5Pfvl3c69IVYIZ7RsPSsoTcJEC6L2RB73K789Qx9X3wLLW6yBQY6OqyOi8ppie2xTgq4yVtmv5jeWadTPYMyk1YQ6RY/54I/VjccxfQ2OHQ5cGdHVOZC0eMqVqxg7gPenDcfq5SsonA7jslO+cFFc+cuoJtSwrqrKB7fI4fr+MsIxLlwKPuId7oRKExLvPXo9y9JYgYxwufKKNTeZC4PKqWbNXonrx90p1KlvQflOsJyA+9BIuHhv80O1q2gFXFS12jGT5yX4z17IZHvx2A/+wN14hG8/OsYXDly+TwsJl514p3D9ZdIw3H3rdVZZi0f6k9LCuhMuKTJn7ayiIsu49iVYKuna/jLCsS9cHofpItw5xtYDn+Rm8FYazBLF3OaKKMG76MePNRevnIjj3BTLsKpOc1o5v55XSRf1JxgcNCKs158iby2Z1M1UU9rh0c88QgE/2THf/4bgj42BA/LHJzw7BaXo8uuMWy4ihasqVMRsbZNUI0S/WvnCekVKZ1+TrO3RQBdGue1q0W1z/J9w/fNgmHZI96MFWQoTDp/ZiUTfatTGp579WDvDe7YlcbWiLKsud8K5lZl69uD6lhsqgTQSev1liuhHACmLF4NVN17bmehXUDwss3aWZR/TQWMSQnRlqDWow4XrM2OWcGlOqxMe2qfUkj6T9XfaVEZve+jv/RvtFLymJFzC+/8J1/8keNj2fXF7Fr5qza2c0IlAzFBeBp9eeUZ3qXlWcEQQAaTyeGG289VrCZcXdOv60f1n2xE09ugVqslWWT96ibWj8o8Y/zcEjUNM7glAnXELx06x+Z5CBh32kKCgRO39L32sU2c8hVotkuiEvVuCV/Ta9tCWaccSlKfrlxGA/wd4rkqUo6hGaAAAAABJRU5ErkJggg==)
..........(6)
That is the coefficients of the marginal effects of the Poisson model can be interpreted as the proportionate change in the conditional mean if the
jth regressor changes by one unit.
Finally the Poisson model sets the variance to equal to the mean. That is:
![](data:image/png;base64,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)
..........(7)
This restriction of the equality of the mean and variance in the Poisson distribution is often not realistic as it has been found that the conditional variance tends to exceed the mean resulting in over-dispersion problem (Winkelmann, 2000). If the over-dispersion problem exists, the conditional mean estimated with a Poisson model is still consistent though the standard errors are biased downwards (
Grogger and Carson, 1991). A more generalized model to account for the over-dispersion problem is based on the negative binomial probability distribution expressed as:
![](data:image/png;base64,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)
..........(8)
where
![](data:image/png;base64,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)
..........(9)
and a ≥ 0 characterizes the degree of over-dispersion, or the degree to which the variance differs from the mean. That is, in the case of the Negative Binomial model employed here:
![](data:image/png;base64,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)
..........(10)
Once the negative binomial model is estimated, significant over-dispersion is checked using the alpha coefficient. If the estimated alpha coefficient is zero, then the conditional mean is equal to the conditional variance and the negative binomial model reduces to the Poisson model. If the estimated alpha coefficient is significantly greater than zero, then over-dispersion is present and the estimated negative binomial model is preferable to the Poisson model. An excellent facet of the negative binomial model is that the Poisson model is nested within it (
Cameron and Trivedi, 1998).
The independent variables specified as factors influencing farmers’ repayment performance as proxied by the percentage of credit to be repaid defined as follows:
X1= Age of the respondent (years).
X2 = Educational level (year of formal education).
X3= Farming experience (years).
X4 = Extension education (Yes= 1, No= 0).
X5 = own off-farm employment (Yes= 1, No=0).
X6 = Past experience with risk (severe = 1, mild = 0).
X7 = Obtain credit from commercial Bank.
X8 = Obtain credit from microfinance Bank.
X9 = Obtain credit from informal Institutions.
X10 = Amount borrowed (in naira).
X11 = Interest on loan (per cent).
Note: Obtain credit from State bank is a base variable for where respondents obtain credit