CIRCULAR EXTERNA 86 DE 2000 

(Diciembre 29)

Ref.: Sistema de amortización en pesos aplicable única y exclusivamente para financiar la compra de inmuebles recibidos como dación de pago.

El sistema de amortización que se describe más adelante podrá ser ofrecido por los establecimientos de crédito que así lo deseen a sus clientes con el propósito único y exclusivo de financiar créditos destinados a la adquisición de inmuebles que fueron entregados en dación de pago.

Este sistema de amortización se establece bajo el esquema de cuota creciente mensualmente en pesos, sin capitalización de intereses, con amortización a capital igual al 1% de la cuota durante los primeros 100 meses y tasa de interés fija del 19.87% efectivo anual.

Las cuotas se calculan como en el sistema de cuota variable mensual con gradiente geométrico, y por un plazo teórico de 15 años con la siguiente ecuación:

donde:

 

C = Valor de la primera cuota mensual en pesos.

Ct = Ct-1 * (1 + g) Valor de la cuota t para t = 2, 3, ... 153

D = Monto del préstamo en pesos

n = Plazo en meses = 180

i = Tasa efectiva mensual equivalente a la tasa efectiva anual ia sobre pesos

i = ((1 + ia) (1/12)) - 1

ia = 19.87%

Hoja 2

g = Porcentaje mensual de incremento de cada cuota con respecto a la inmediatamente anterior. Equivalente al 10% efectivo anual.

g = (1.01)(1/12)

En el desarrollo del cuadro de amortización es preciso tener en cuenta que desde la primera cuota y hasta la número 100 inclusive el 1% de la cuota mensual amortiza capital y, puesto que no se pueden capitalizar intereses, los causados y no pagados se van sumando en una cuenta por cobrar cuyo saldo forma parte del saldo total de la obligación, pero no genera ni puede generar por ninguna circunstancia intereses remuneratorios o moratorios para el período o períodos subsiguientes.

Este sistema de amortización sólo se puede utilizar sin modificar ninguna de sus variables.

El cuadro siguiente ilustra el valor de las cuotas, su distribución entre abono a capital e intereses, los intereses causados y no pagados, la cuenta de intereses pendientes y el saldo durante cada uno de los meses de vigencia del crédito. Estos valores son inmodificables durante la vigencia del crédito.

La metodología de aplicación de pagos y en general los aspectos no regulados expresamente en esta circular se regirán por lo previsto en el capítulo IV del título III de la Circular Básica Jurídica (Circ. Externa 7 de 1996) de ésta superintendencia.

Cuotas por cada millón de crédito inicial
Sistema de cuota creciente mensualmente en pesos sin capitalización de intereses
Supuestos:
Valor del préstamo: 1.000.000Factor 1: 0.992865
Tasa fija efectiva anual: 19.87%Fact. cuota 1: 100.00926
Incremento anual: 10.00%Cuota 1: 9.999
Plazo en meses: 180Plazo real: 155 meses
Factor para cuota mensual: 1.00797414Porcentaje de la cuota que amortiza capital: 1.00%
Tasa de interés mensual: 1.52%

AlturaCuota InteresesIntereses pendientesTotal intereses pendientesAmortiz.Saldo deudaSaldo total
0     1000000 
19.999.0715.217.775.318.685.318.6899.99999.900.011.005.218.69
210.078.8115.216.245.238.2210.556.90100.79999.799.221.010.356.13
310.159.1815.214.715.157.1215.714.03101.59999.697.631.015.411.66
410.240.1915.213.165.075.3820.789.40102.40999.595.231.020.384.63
510.321.8515.211.614.992.9825.782.38103.22999.492.011.025.274.39
610.404.1515.210.034.909.9230.692.30104.04999.387.971.030.080.27
710.487.1215.208.454.826.2035.518.51104.87999.283.101.034.801.61
810.570.7415.206.864.741.8240.260.33105.71999.177.391.039.437.72
910.655.0415.205.254.656.7644.917.09106.55999.070.841.043.987.93
1010.740.0015.203.634.571.0249.488.11107.40998.963.441.048.451.55
1110.825.6415.201.994.484.6053.972.72108.26998.855.181.052.827.90
1210.911.9715.200.344.397.4958.370.21109.12998.746.061.057.116.28
1310.998.9815.198.684.309.6962.679.90109.99998.636.071.061.315.98
1411.086.6915.197.014.221.1966.901.09110.87998.525.211.065.426.30
1511.175.1015.195.324.131.9871.033.07111.75998.413.451.069.446.52
Hoja 3

1611.264.2115.193.624.042.0675.075.12112.64998.300.811.073.375.94
1711.354.0315.191.913.951.4279.026.54113.54998.187.271.077.213.81
1811.444.5715.190.183.860.0682.886.60114.45998.072.831.080.959.42
1911.535.8315.188.443.767.9786.654.56115.36997.957.471.084.612.03
2011.627.8215.186.683.675.1490.329.71116.28997.841.191.088.170.90
2111.720.5415.184.913.581.5893.911.29117.21997.723.981.091.635.27
2211.814.0015.183.133.487.2797.398.55118.14997.605.841.095.004.40
2311.908.2115.181.333.392.21100.790.76119.08997.486.761.098.277.52
2412.003.1715.179.523.296.39104.087.15120.03997.366.731.101.453.88
2512.098.8815.177.693.199.80107.286.95120.99997.245.741.104.532.69
2612.195.3615.175.853.102.45110.389.39121.95997.123.791.107.513.18
2712.292.6115.174.003.004.32113.393.71122.93997.000.861.110.394.57
2812.390.6315.172.122.905.40116.299.11123.91996.876.961.113.176.07
2912.489.4315.170.242.805.70119.104.81124.89996.752.061.115.856.87
3012.589.0315.168.342.705.20121.810.02125.89996.626.171.118.436.19
3112.689.4115.166.422.603.90124.413.92126.89996.499.281.120.913.20
3212.790.6015.164.492.501.80126.915.72127.91996.371.371.123.287.09
3312.892.5915.162.552.398.88129.314.60128.93996.242.451.125.557.04
3412.995.4015.160.582.295.14131.609.73129.95996.112.491.127.722.22
3513.099.0315.158.612.190.57133.800.30130.99995.981.501.129.781.80
3613.203.4815.156.612.085.17135.885.47132.03995.849.471.131.734.93
3713.308.7715.154.601.978.92137.864.39133.09995.716.381.133.580.77
3813.414.8915.152.581.871.83139.736.22134.15995.582.231.135.318.45
3913.521.8715.150.541.763.89141.500.11135.22995.447.011.136.947.12
4013.629.6915.148.481.655.08143.155.20136.30995.310.711.138.465.91
4113.738.3815.146.401.545.41144.700.61137.38995.173.331.139.873.94
4213.847.9315.144.311.434.86146.135.47138.48995.034.851.141.170.32
4313.958.3515.142.211.323.44147.458.91139.58994.895.271.142.354.18
4414.069.6615.140.081.211.12148.670.03140.70994.754.571.143.424.60
4514.181.8515.137.941.097.91149.767.93141.82994.612.751.144.380.69
4614.294.9415.135.78983.79150.751.73142.95994.469.801.145.221.53
4714.408.9315.133.61868.77151.620.49144.09994.325.711.145.946.21
4814.523.8315.131.42752.82152.373.32145.24994.180.481.146.553.79
4914.639.6415.129.20635.96153.009.27146.40994.034.081.147.043.35
5014.756.3815.126.98518.16153.527.43147.56993.886.521.147.413.95
5114.874.0515.124.73399.42153.926.85148.74993.737.771.147.664.62
5214.992.6615.122.47279.73154.206.58149.93993.587.851.147.794.43
5315.112.2115.120.19159.09154.365.68151.12993.436.731.147.802.40
5415.232.7215.117.8937.49154.403.17152.33993.284.401.147.687.57
5515.354.1915.115.570.00154.318.09153.54993.130.861.147.448.95
5615.476.6315.113.230.00154.109.46154.77992.976.091.147.085.56
5715.600.0415.110.880.00153.776.30156.00992.820.091.146.596.39
5815.724.4415.108.500.00153.317.62157.24992.662.851.145.980.46
5915.849.8215.106.110.00152.732.40158.50992.504.351.145.236.75
6015.976.2115.103.700.00152.019.65159.76992.344.591.144.364.23
6116.103.6115.101.270.00151.178.34161.04992.183.551.143.361.89
6216.232.0215.098.820.00150.207.46162.32992.021.231.142.228.68
6316.361.4615.096.350.00149.105.96163.61991.857.611.140.963.57
6416.491.9315.093.860.00147.872.81164.92991.692.701.139.565.50
6516.623.4415,091.350.00146.506.95166.23991.526.461.138.033.41
6616.755.9915.088.820.00145.007.34167.56991.358.901.136.366.24
6716.889.6115.086.270.00143.372.89168.90991.190.011.134.562.90
6817.024.2915.083.700.00141.602.54170.24991.019.761.132.622.30
Hoja 4

6917.160.0415.081.110.00139.695.21171.60990.848.161.130.543.37
7017.296.8815.078.490.00137.649.79172.97990.675.191.128.324.98
7117.434.8115.075.860.00135.465.19174.35990.500.841.125.966.04
7217.573.8315.073.210.00133.140.31175.74990.325.111.123.465.41
7317.713.9715.070.530.00130.674.01177.14990.147.971.120.821.98
7417.855.2215.067.840.00128.065.18178.55989.969.411.118.034.59
7517.997.6015.065.120.00125.312.67179.98989.789.441.115.102.11
7618.141.1215.062.380.00122.415.35181.41989.608.031.112.023.38
7718.285.7815.059.620.00119.372.05182.86989.425.171.108.797.22
7818.431.5915.056.840.00116.181.61184.32989.240.851.105.422.47
7918.578.5715.054.030.00112.842.86185.79989.055.071.101.897.93
8018.726.7215.051.210.00109.354.62187.27988.867.801.098.222.42
8118.876.0515.048.360.00105.715.69188.76988.679.041.094.394.73
8219.026.5715.045.490.00101.924.88190.27988.488.771.090.413.65
8319.178.2915.042.590.0097.980.96191.78988.296.991.086.277.96
8419.331.2215.039.670.0093.882.73193.31988.103.681.081.986.41
8519.485.3715.036.730.0089.628.95194.85987.908.831.077.537.77
8619.640.7515.033.760.0085.218.37196.41987.712.421.072.930.79
8719.797.3615.030.780.0080.649.76197.97987.514.441.068.164.20
8819.955.2315.027.760.0075.921.84199.55987.314.891.063.236.73
8920.114.3615.024.730.0071.033.35201.14987.113.751.058.147.10
9020.274.7515.021.670.0065.983.01202.75986.911.001.052.894.02
9120.436.4315.018.580.0060.769.53204.36986.706.641.047.476.17
9220.599.3915.015.470.0055.391.61205.99986.500.641.041.892.25
9320.763.6515.012.340.0049.847.93207.64986.293.011.036.140.94
9420.929.2215.009.180.0044.137.17209.29986.083.711.030.220.89
9521.096.1215.005.990.0038.258.01210.96985.872.751.024.130.76
9621.264.3415.002.780.0032.209.09212.64985.660.111.017.869.20
9721.433.9014.999.540.0025.989.07214.34985.445.771.011.434.84
9821.604.8214.996.280.0019.596.58216.05985.229.721.004.826.30
9921.777.1014.992.990.0013.030.25217.77985.011.95998.042.20
10021.950.7514.989.680.006.288.68219.51984.792.44991.081.12
10122.125.7914.986.340.000.00850.77983.941.67983.941.67
10222.302.2314.973.390.000.007.328.83976.612.84976.612.84
10322.480.0714.861.860.000.007.618.20968.994.63968.994.63
10422.659.3314.745.930.000.007.913.39961.081.24961.081.24
10522.840.0214.625.510.000.008.214.51952.866.73952.866.73
10623.022.1514.500.500.000.008.521.64944.345.09944.345.09
10723.205.7314.370.820.000.008.834.91935.510.18935.510.18
10823.390.7714.236.370.000.009.154.40926.355.78926.355.78
10923.577.2914.097.060.000.009.480.23916.875.55916.875.55
11023.765.3013.952.800.000.009.812.51907.063.05907.063.05
11123.954.8113.803.470.000.0010.151.34896.911.71896.911.71
11224.145.8313.648.990.000.0010.496.84886.414.87886.414.87
11324.338.3713.489.250.000.0010.849.12875.565.75875.565.75
11424.532.4513.324.150.000.0011.208.30864.357.45864.357.45
11524.728.0713.153.590.000.0011.574.49852.782.97852.782.97
11624.925.2612.977.450.000.0011.947.81840.835.16840.835.16
11725.124.0212.795.630.000.0012.328.39828.506.77828.506.77
11825.324.3612.608.020.000.0012.716.34815.790.43815.790.43
11925.526.3012.414.510.000.0013,111.79802.678.64802.678.64
12025.729.8512.214.980.000.0013.514.88789.163.77789.163.77
Hoja 5

12125.935.0212.009.310.000.0013.925.72775.238.05775.238.05
12226.141.8311.797.390.000.0014.344.44760.893.61760.893.61
12326.350.2911.579.100.000.0014.771.19746.122.42746.122.42
12426.560.4111.354.320.000.0015.206.10730.916.32730.916.32
12526.772.2111.122.910.000.0015.649.30715.267.02715.267.02
12626.985.6910.884.770.000.0016.100.93699.166.09699.166.09
12727.200.8810.639.750.000.0016.561.14682.604.96682.604.96
12827.417.7910.387.720.000.0017.030.06665.574.89665.574.89
12927.636.4210.128.560.000.0017.507.86648.067.04648.067.04
13027.856.809.862.130.000.0017.994.66630.072.37630.072.37
13128.078.939.588.290.000.0018.490.64611.581.73611.581.73
13228.302.849.306.910.000.0018.995.93592.585.81592.585.81
13328.528.539.017.830.000.0019.510.69573.075.11573.075.11
13428.756.028.720.920.000.0020.035.09553.040.02553.040.02
13528.985.328.416.030.000.0020.569.29532.470.73532.470.73
13629.216.458.103.010.000.0021.113.44511.357.29511.357.29
13729.449.437.781.720.000.0021.667.72489.689.57489.689.57
13829.684.267.451.980.000.0022.232.28467.457.29467.457.29
13929.920.977.113.660.000.0022.807.32444.649.97444.649.97
14030.159.566.766.580.000.0023.392.99421.256.99421.256.99
14130.400.066.410.590.000.0023.989.47397.267.52397.267.52
14230.642.486.045.520.000.0024.596.95372.670.57372.670.57
14330.886.825.671.210.000.0025.215.61347.454.96347.454.96
14431.133.125.287.490.000.0025.845.63321.609.32321.609.32
14531.381.384.894.180.000.0026.487.20295.122.12295.122.12
14631.631.624.491.100.000.0027.140.52267.981.60267.981.60
14731.883.854.078.080.000.0027.805.77240.175.83240.175.83
14832.138.103.654.940.000.0028.483.16211.692.67211.692.67
14932.394.373.221.490.000.0029.172.88182.519.78182.519.78
15032.652.692.777.540.000.0029.875.15152.644.64152.644.64
15132.913.072.322.910.000.0030.590.16122.054.48122.054.48
15233.175.521.857.400.000.0031.318.1290.736.3590.736.35
15333.440.071.380.800.000.0032.059.2658.677.0958.677.09
15433.706.72892.930.000.0032.813.7925.863.3025.863.30
15526.256.88393.580.000.0025.863.300.000.00

Dado el propósito específico del sistema de amortización aprobado, el mismo sólo se podrá ofrecer para los créditos que se perfeccionen dentro del año siguiente a la expedición de la presente circular externa.

No sobra advertir que los establecimientos de crédito sólo están autorizados para utilizar los sistemas de amortización expresamente aprobados y descritos en la presente circular o en el capítulo IV del título III de la circular básica jurídica.

N. del D.: Esta circular externa va dirigida a representantes y revisores fiscales de establecimientos de crédito.

___________________________