Free Essay

Amortization

In: Business and Management

Submitted By nelsoncham
Words 6861
Pages 28
PERFORMANCE TASK
IN
MATH IV

SUBMITTED BY:
JENNELYN R. CHAM
IV-GENEROSITY
SUBMITTED TO: MR. JESSAN DE CASTRO

INTRODUCTION:
Exponential functions look somewhat similar to functions you have seen before, in that they involve exponents, but there is a big difference, in that the variable is now the power, rather than the base.
Example:
Population: The population of the popular town of Smithville in 2003 was estimated to be 35,000 people with an annual rate of increase (growth) of about 2.4%.
a.) What is the growth factor for Smithville? After one year the population would be 35,000 + 0.024(35000). By factoring we see that this is 35,000(1 + 0.024) or 35,000(1.024). The growth factor is 1.024. b.) Write an equation to model future growth. where y is the population; x is the number of years since 2003 | |
c.) Use your equation to estimate the population in 2007 to the nearest hundred people.

Amortization is the elimination of a debt over time with periodic payments. For example, assume you make mortgage payments every month. Amortization also applies to asset balances, such as discount on notes receivable, deferred charges, and some intangible assets.

In relation to loans, amortization is the process of paying down the loan by making payments which include both principal and interest. An amortization schedule is often used to show the amount of interest and principal for a loan with each payment.

Problem 1: (Quarterly) A | PHP 2,900,000.00 | i | 0.035 | 1+I | 1.035 | r | 14% | n | 140 | 1+i^n | 0.008097501 | m | 4 | | | 1-raised | 0.991902499 | t | 35 | | | 1-r/d | 28.34007139 | | | | | A/r:d | PHP 102,328.61 | | | | | | | | | | | | | | | | | | | PaymentNumber | Unpaid Balance | Interest Paid | PeriodicPayment | Principal Repaid | | 1 | PHP 2,900,000.00 | PHP 101,500.00 | PHP 102,328.61 | PHP 828.61 | | 2 | PHP 2,899,171.39 | PHP 101,471.00 | PHP 102,328.61 | PHP 857.61 | | 3 | PHP 2,898,313.79 | PHP 101,440.98 | PHP 102,328.61 | PHP 887.62 | | 4 | PHP 2,897,426.16 | PHP 101,409.92 | PHP 102,328.61 | PHP 918.69 | | 5 | PHP 2,896,507.47 | PHP 101,377.76 | PHP 102,328.61 | PHP 950.84 | | 6 | PHP 2,895,556.63 | PHP 101,344.48 | PHP 102,328.61 | PHP 984.12 | | 7 | PHP 2,894,572.50 | PHP 101,310.04 | PHP 102,328.61 | PHP 1,018.57 | | 8 | PHP 2,893,553.94 | PHP 101,274.39 | PHP 102,328.61 | PHP 1,054.22 | | 9 | PHP 2,892,499.72 | PHP 101,237.49 | PHP 102,328.61 | PHP 1,091.12 | | 10 | PHP 2,891,408.60 | PHP 101,199.30 | PHP 102,328.61 | PHP 1,129.30 | | 11 | PHP 2,890,279.30 | PHP 101,159.78 | PHP 102,328.61 | PHP 1,168.83 | | 12 | PHP 2,889,110.47 | PHP 101,118.87 | PHP 102,328.61 | PHP 1,209.74 | | 13 | PHP 2,887,900.73 | PHP 101,076.53 | PHP 102,328.61 | PHP 1,252.08 | | 14 | PHP 2,886,648.65 | PHP 101,032.70 | PHP 102,328.61 | PHP 1,295.90 | | 15 | PHP 2,885,352.74 | PHP 100,987.35 | PHP 102,328.61 | PHP 1,341.26 | | 16 | PHP 2,884,011.48 | PHP 100,940.40 | PHP 102,328.61 | PHP 1,388.20 | | 17 | PHP 2,882,623.28 | PHP 100,891.81 | PHP 102,328.61 | PHP 1,436.79 | | 18 | PHP 2,881,186.49 | PHP 100,841.53 | PHP 102,328.61 | PHP 1,487.08 | | 19 | PHP 2,879,699.41 | PHP 100,789.48 | PHP 102,328.61 | PHP 1,539.13 | | 20 | PHP 2,878,160.28 | PHP 100,735.61 | PHP 102,328.61 | PHP 1,593.00 | | 21 | PHP 2,876,567.29 | PHP 100,679.85 | PHP 102,328.61 | PHP 1,648.75 | | 22 | PHP 2,874,918.53 | PHP 100,622.15 | PHP 102,328.61 | PHP 1,706.46 | | 23 | PHP 2,873,212.08 | PHP 100,562.42 | PHP 102,328.61 | PHP 1,766.18 | | 24 | PHP 2,871,445.89 | PHP 100,500.61 | PHP 102,328.61 | PHP 1,828.00 | | 25 | PHP 2,869,617.89 | PHP 100,436.63 | PHP 102,328.61 | PHP 1,891.98 | | 26 | PHP 2,867,725.91 | PHP 100,370.41 | PHP 102,328.61 | PHP 1,958.20 | | 27 | PHP 2,865,767.72 | PHP 100,301.87 | PHP 102,328.61 | PHP 2,026.74 | | 28 | PHP 2,863,740.98 | PHP 100,230.93 | PHP 102,328.61 | PHP 2,097.67 | | 29 | PHP 2,861,643.31 | PHP 100,157.52 | PHP 102,328.61 | PHP 2,171.09 | | 30 | PHP 2,859,472.22 | PHP 100,081.53 | PHP 102,328.61 | PHP 2,247.08 | | 31 | PHP 2,857,225.14 | PHP 100,002.88 | PHP 102,328.61 | PHP 2,325.73 | | 32 | PHP 2,854,899.41 | PHP 99,921.48 | PHP 102,328.61 | PHP 2,407.13 | | 33 | PHP 2,852,492.29 | PHP 99,837.23 | PHP 102,328.61 | PHP 2,491.38 | | 34 | PHP 2,850,000.91 | PHP 99,750.03 | PHP 102,328.61 | PHP 2,578.57 | | 35 | PHP 2,847,422.34 | PHP 99,659.78 | PHP 102,328.61 | PHP 2,668.82 | | 36 | PHP 2,844,753.51 | PHP 99,566.37 | PHP 102,328.61 | PHP 2,762.23 | | 37 | PHP 2,841,991.28 | PHP 99,469.69 | PHP 102,328.61 | PHP 2,858.91 | | 38 | PHP 2,839,132.37 | PHP 99,369.63 | PHP 102,328.61 | PHP 2,958.97 | | 39 | PHP 2,836,173.39 | PHP 99,266.07 | PHP 102,328.61 | PHP 3,062.54 | | 40 | PHP 2,833,110.86 | PHP 99,158.88 | PHP 102,328.61 | PHP 3,169.73 | | 41 | PHP 2,829,941.13 | PHP 99,047.94 | PHP 102,328.61 | PHP 3,280.67 | | 42 | PHP 2,826,660.46 | PHP 98,933.12 | PHP 102,328.61 | PHP 3,395.49 | | 43 | PHP 2,823,264.97 | PHP 98,814.27 | PHP 102,328.61 | PHP 3,514.33 | | 44 | PHP 2,819,750.64 | PHP 98,691.27 | PHP 102,328.61 | PHP 3,637.33 | | 45 | PHP 2,816,113.31 | PHP 98,563.97 | PHP 102,328.61 | PHP 3,764.64 | | 46 | PHP 2,812,348.67 | PHP 98,432.20 | PHP 102,328.61 | PHP 3,896.40 | | 47 | PHP 2,808,452.27 | PHP 98,295.83 | PHP 102,328.61 | PHP 4,032.78 | | 48 | PHP 2,804,419.49 | PHP 98,154.68 | PHP 102,328.61 | PHP 4,173.92 | | 49 | PHP 2,800,245.57 | PHP 98,008.59 | PHP 102,328.61 | PHP 4,320.01 | | 50 | PHP 2,795,925.55 | PHP 97,857.39 | PHP 102,328.61 | PHP 4,471.21 | | 51 | PHP 2,791,454.34 | PHP 97,700.90 | PHP 102,328.61 | PHP 4,627.70 | | 52 | PHP 2,786,826.64 | PHP 97,538.93 | PHP 102,328.61 | PHP 4,789.67 | | 53 | PHP 2,782,036.96 | PHP 97,371.29 | PHP 102,328.61 | PHP 4,957.31 | | 54 | PHP 2,777,079.65 | PHP 97,197.79 | PHP 102,328.61 | PHP 5,130.82 | | 55 | PHP 2,771,948.83 | PHP 97,018.21 | PHP 102,328.61 | PHP 5,310.40 | | 56 | PHP 2,766,638.44 | PHP 96,832.35 | PHP 102,328.61 | PHP 5,496.26 | | 57 | PHP 2,761,142.18 | PHP 96,639.98 | PHP 102,328.61 | PHP 5,688.63 | | 58 | PHP 2,755,453.55 | PHP 96,440.87 | PHP 102,328.61 | PHP 5,887.73 | | 59 | PHP 2,749,565.81 | PHP 96,234.80 | PHP 102,328.61 | PHP 6,093.80 | | 60 | PHP 2,743,472.01 | PHP 96,021.52 | PHP 102,328.61 | PHP 6,307.09 | | 61 | PHP 2,737,164.93 | PHP 95,800.77 | PHP 102,328.61 | PHP 6,527.83 | | 62 | PHP 2,730,637.09 | PHP 95,572.30 | PHP 102,328.61 | PHP 6,756.31 | | 63 | PHP 2,723,880.79 | PHP 95,335.83 | PHP 102,328.61 | PHP 6,992.78 | | 64 | PHP 2,716,888.01 | PHP 95,091.08 | PHP 102,328.61 | PHP 7,237.53 | | 65 | PHP 2,709,650.48 | PHP 94,837.77 | PHP 102,328.61 | PHP 7,490.84 | | 66 | PHP 2,702,159.64 | PHP 94,575.59 | PHP 102,328.61 | PHP 7,753.02 | | 67 | PHP 2,694,406.62 | PHP 94,304.23 | PHP 102,328.61 | PHP 8,024.37 | | 68 | PHP 2,686,382.25 | PHP 94,023.38 | PHP 102,328.61 | PHP 8,305.23 | | 69 | PHP 2,678,077.02 | PHP 93,732.70 | PHP 102,328.61 | PHP 8,595.91 | | 70 | PHP 2,669,481.11 | PHP 93,431.84 | PHP 102,328.61 | PHP 8,896.77 | | 71 | PHP 2,660,584.34 | PHP 93,120.45 | PHP 102,328.61 | PHP 9,208.15 | | 72 | PHP 2,651,376.19 | PHP 92,798.17 | PHP 102,328.61 | PHP 9,530.44 | | 73 | PHP 2,641,845.75 | PHP 92,464.60 | PHP 102,328.61 | PHP 9,864.00 | | 74 | PHP 2,631,981.75 | PHP 92,119.36 | PHP 102,328.61 | PHP 10,209.24 | | 75 | PHP 2,621,772.50 | PHP 91,762.04 | PHP 102,328.61 | PHP 10,566.57 | | 76 | PHP 2,611,205.93 | PHP 91,392.21 | PHP 102,328.61 | PHP 10,936.40 | | 77 | PHP 2,600,269.53 | PHP 91,009.43 | PHP 102,328.61 | PHP 11,319.17 | | 78 | PHP 2,588,950.36 | PHP 90,613.26 | PHP 102,328.61 | PHP 11,715.34 | | 79 | PHP 2,577,235.02 | PHP 90,203.23 | PHP 102,328.61 | PHP 12,125.38 | | 80 | PHP 2,565,109.64 | PHP 89,778.84 | PHP 102,328.61 | PHP 12,549.77 | | 81 | PHP 2,552,559.87 | PHP 89,339.60 | PHP 102,328.61 | PHP 12,989.01 | | 82 | PHP 2,539,570.86 | PHP 88,884.98 | PHP 102,328.61 | PHP 13,443.63 | | 83 | PHP 2,526,127.23 | PHP 88,414.45 | PHP 102,328.61 | PHP 13,914.15 | | 84 | PHP 2,512,213.08 | PHP 87,927.46 | PHP 102,328.61 | PHP 14,401.15 | | 85 | PHP 2,497,811.93 | PHP 87,423.42 | PHP 102,328.61 | PHP 14,905.19 | | 86 | PHP 2,482,906.74 | PHP 86,901.74 | PHP 102,328.61 | PHP 15,426.87 | | 87 | PHP 2,467,479.87 | PHP 86,361.80 | PHP 102,328.61 | PHP 15,966.81 | | 88 | PHP 2,451,513.06 | PHP 85,802.96 | PHP 102,328.61 | PHP 16,525.65 | | 89 | PHP 2,434,987.41 | PHP 85,224.56 | PHP 102,328.61 | PHP 17,104.05 | | 90 | PHP 2,417,883.37 | PHP 84,625.92 | PHP 102,328.61 | PHP 17,702.69 | | 91 | PHP 2,400,180.68 | PHP 84,006.32 | PHP 102,328.61 | PHP 18,322.28 | | 92 | PHP 2,381,858.40 | PHP 83,365.04 | PHP 102,328.61 | PHP 18,963.56 | | 93 | PHP 2,362,894.84 | PHP 82,701.32 | PHP 102,328.61 | PHP 19,627.29 | | 94 | PHP 2,343,267.55 | PHP 82,014.36 | PHP 102,328.61 | PHP 20,314.24 | | 95 | PHP 2,322,953.31 | PHP 81,303.37 | PHP 102,328.61 | PHP 21,025.24 | | 96 | PHP 2,301,928.07 | PHP 80,567.48 | PHP 102,328.61 | PHP 21,761.12 | | 97 | PHP 2,280,166.94 | PHP 79,805.84 | PHP 102,328.61 | PHP 22,522.76 | | 98 | PHP 2,257,644.18 | PHP 79,017.55 | PHP 102,328.61 | PHP 23,311.06 | | 99 | PHP 2,234,333.12 | PHP 78,201.66 | PHP 102,328.61 | PHP 24,126.95 | | 100 | PHP 2,210,206.17 | PHP 77,357.22 | PHP 102,328.61 | PHP 24,971.39 | | 101 | PHP 2,185,234.78 | PHP 76,483.22 | PHP 102,328.61 | PHP 25,845.39 | | 102 | PHP 2,159,389.40 | PHP 75,578.63 | PHP 102,328.61 | PHP 26,749.98 | | 103 | PHP 2,132,639.42 | PHP 74,642.38 | PHP 102,328.61 | PHP 27,686.23 | | 104 | PHP 2,104,953.19 | PHP 73,673.36 | PHP 102,328.61 | PHP 28,655.24 | | 105 | PHP 2,076,297.95 | PHP 72,670.43 | PHP 102,328.61 | PHP 29,658.18 | | 106 | PHP 2,046,639.77 | PHP 71,632.39 | PHP 102,328.61 | PHP 30,696.21 | | 107 | PHP 2,015,943.56 | PHP 70,558.02 | PHP 102,328.61 | PHP 31,770.58 | | 108 | PHP 1,984,172.97 | PHP 69,446.05 | PHP 102,328.61 | PHP 32,882.55 | | 109 | PHP 1,951,290.42 | PHP 68,295.16 | PHP 102,328.61 | PHP 34,033.44 | | 110 | PHP 1,917,256.98 | PHP 67,103.99 | PHP 102,328.61 | PHP 35,224.61 | | 111 | PHP 1,882,032.37 | PHP 65,871.13 | PHP 102,328.61 | PHP 36,457.47 | | 112 | PHP 1,845,574.90 | PHP 64,595.12 | PHP 102,328.61 | PHP 37,733.48 | | 113 | PHP 1,807,841.41 | PHP 63,274.45 | PHP 102,328.61 | PHP 39,054.16 | | 114 | PHP 1,768,787.25 | PHP 61,907.55 | PHP 102,328.61 | PHP 40,421.05 | | 115 | PHP 1,728,366.20 | PHP 60,492.82 | PHP 102,328.61 | PHP 41,835.79 | | 116 | PHP 1,686,530.41 | PHP 59,028.56 | PHP 102,328.61 | PHP 43,300.04 | | 117 | PHP 1,643,230.37 | PHP 57,513.06 | PHP 102,328.61 | PHP 44,815.54 | | 118 | PHP 1,598,414.83 | PHP 55,944.52 | PHP 102,328.61 | PHP 46,384.09 | | 119 | PHP 1,552,030.74 | PHP 54,321.08 | PHP 102,328.61 | PHP 48,007.53 | | 120 | PHP 1,504,023.21 | PHP 52,640.81 | PHP 102,328.61 | PHP 49,687.79 | | 121 | PHP 1,454,335.42 | PHP 50,901.74 | PHP 102,328.61 | PHP 51,426.87 | | 122 | PHP 1,402,908.55 | PHP 49,101.80 | PHP 102,328.61 | PHP 53,226.81 | | 123 | PHP 1,349,681.75 | PHP 47,238.86 | PHP 102,328.61 | PHP 55,089.74 | | 124 | PHP 1,294,592.00 | PHP 45,310.72 | PHP 102,328.61 | PHP 57,017.89 | | 125 | PHP 1,237,574.11 | PHP 43,315.09 | PHP 102,328.61 | PHP 59,013.51 | | 126 | PHP 1,178,560.60 | PHP 41,249.62 | PHP 102,328.61 | PHP 61,078.98 | | 127 | PHP 1,117,481.62 | PHP 39,111.86 | PHP 102,328.61 | PHP 63,216.75 | | 128 | PHP 1,054,264.87 | PHP 36,899.27 | PHP 102,328.61 | PHP 65,429.34 | | 129 | PHP 988,835.53 | PHP 34,609.24 | PHP 102,328.61 | PHP 67,719.36 | | 130 | PHP 921,116.17 | PHP 32,239.07 | PHP 102,328.61 | PHP 70,089.54 | | 131 | PHP 851,026.63 | PHP 29,785.93 | PHP 102,328.61 | PHP 72,542.67 | | 132 | PHP 778,483.96 | PHP 27,246.94 | PHP 102,328.61 | PHP 75,081.67 | | 133 | PHP 703,402.29 | PHP 24,619.08 | PHP 102,328.61 | PHP 77,709.53 | | 134 | PHP 625,692.76 | PHP 21,899.25 | PHP 102,328.61 | PHP 80,429.36 | | 135 | PHP 545,263.40 | PHP 19,084.22 | PHP 102,328.61 | PHP 83,244.39 | | 136 | PHP 462,019.02 | PHP 16,170.67 | PHP 102,328.61 | PHP 86,157.94 | | 137 | PHP 375,861.08 | PHP 13,155.14 | PHP 102,328.61 | PHP 89,173.47 | | 138 | PHP 286,687.61 | PHP 10,034.07 | PHP 102,328.61 | PHP 92,294.54 | | 139 | PHP 194,393.07 | PHP 6,803.76 | PHP 102,328.61 | PHP 95,524.85 | | 140 | PHP 98,868.22 | PHP 3,460.39 | PHP 102,328.61 | PHP 98,868.22 | | | | | | | | | | PHP 11,426,004.84 | PHP 14,326,004.84 | PHP 2,900,000.00 | |

* In quarterly, the paying of loan will take 140 months if the money you will borrow is PHP 2,900,000.00. And the payment every 4 months is PHP 102,328.61.
(MONTHLY)
A | PHP 2,900,000.00 | i | 0.006 | 1+i | 1.006 | r | 8% | n | 120 | 1+i^n | 0.487800581 | m | 12 | | | 1-raised | 0.512199419 | t | 10 | | | 1-r/d | 85.36656977 | | | | | A/r:d | PHP 33,971.14 | | | | | | | | | | | | | | | | | | | | | | | | | PaymentNumber | Unpaid Balance | InterestPaid | Periodic Payment | Principal Repaid | | 1 | PHP 2,900,000.00 | PHP 17,400.00 | PHP 33,971.14 | PHP 16,571.14 | | 2 | PHP 2,883,428.86 | PHP 17,300.57 | PHP 33,971.14 | PHP 16,670.57 | | 3 | PHP 2,866,758.29 | PHP 17,200.55 | PHP 33,971.14 | PHP 16,770.59 | | 4 | PHP 2,849,987.69 | PHP 17,099.93 | PHP 33,971.14 | PHP 16,871.22 | | 5 | PHP 2,833,116.47 | PHP 16,998.70 | PHP 33,971.14 | PHP 16,972.44 | | 6 | PHP 2,816,144.03 | PHP 16,896.86 | PHP 33,971.14 | PHP 17,074.28 | | 7 | PHP 2,799,069.75 | PHP 16,794.42 | PHP 33,971.14 | PHP 17,176.73 | | 8 | PHP 2,781,893.03 | PHP 16,691.36 | PHP 33,971.14 | PHP 17,279.79 | | 9 | PHP 2,764,613.24 | PHP 16,587.68 | PHP 33,971.14 | PHP 17,383.46 | | 10 | PHP 2,747,229.78 | PHP 16,483.38 | PHP 33,971.14 | PHP 17,487.76 | | 11 | PHP 2,729,742.01 | PHP 16,378.45 | PHP 33,971.14 | PHP 17,592.69 | | 12 | PHP 2,712,149.32 | PHP 16,272.90 | PHP 33,971.14 | PHP 17,698.25 | | 13 | PHP 2,694,451.07 | PHP 16,166.71 | PHP 33,971.14 | PHP 17,804.44 | | 14 | PHP 2,676,646.63 | PHP 16,059.88 | PHP 33,971.14 | PHP 17,911.26 | | 15 | PHP 2,658,735.37 | PHP 15,952.41 | PHP 33,971.14 | PHP 18,018.73 | | 16 | PHP 2,640,716.64 | PHP 15,844.30 | PHP 33,971.14 | PHP 18,126.84 | | 17 | PHP 2,622,589.80 | PHP 15,735.54 | PHP 33,971.14 | PHP 18,235.60 | | 18 | PHP 2,604,354.19 | PHP 15,626.13 | PHP 33,971.14 | PHP 18,345.02 | | 19 | PHP 2,586,009.17 | PHP 15,516.06 | PHP 33,971.14 | PHP 18,455.09 | | 20 | PHP 2,567,554.08 | PHP 15,405.32 | PHP 33,971.14 | PHP 18,565.82 | | 21 | PHP 2,548,988.26 | PHP 15,293.93 | PHP 33,971.14 | PHP 18,677.21 | | 22 | PHP 2,530,311.05 | PHP 15,181.87 | PHP 33,971.14 | PHP 18,789.28 | | 23 | PHP 2,511,521.77 | PHP 15,069.13 | PHP 33,971.14 | PHP 18,902.01 | | 24 | PHP 2,492,619.76 | PHP 14,955.72 | PHP 33,971.14 | PHP 19,015.43 | | 25 | PHP 2,473,604.34 | PHP 14,841.63 | PHP 33,971.14 | PHP 19,129.52 | | 26 | PHP 2,454,474.82 | PHP 14,726.85 | PHP 33,971.14 | PHP 19,244.29 | | 27 | PHP 2,435,230.52 | PHP 14,611.38 | PHP 33,971.14 | PHP 19,359.76 | | 28 | PHP 2,415,870.76 | PHP 14,495.22 | PHP 33,971.14 | PHP 19,475.92 | | 29 | PHP 2,396,394.84 | PHP 14,378.37 | PHP 33,971.14 | PHP 19,592.77 | | 30 | PHP 2,376,802.07 | PHP 14,260.81 | PHP 33,971.14 | PHP 19,710.33 | | 31 | PHP 2,357,091.74 | PHP 14,142.55 | PHP 33,971.14 | PHP 19,828.59 | | 32 | PHP 2,337,263.14 | PHP 14,023.58 | PHP 33,971.14 | PHP 19,947.56 | | 33 | PHP 2,317,315.58 | PHP 13,903.89 | PHP 33,971.14 | PHP 20,067.25 | | 34 | PHP 2,297,248.33 | PHP 13,783.49 | PHP 33,971.14 | PHP 20,187.65 | | 35 | PHP 2,277,060.68 | PHP 13,662.36 | PHP 33,971.14 | PHP 20,308.78 | | 36 | PHP 2,256,751.90 | PHP 13,540.51 | PHP 33,971.14 | PHP 20,430.63 | | 37 | PHP 2,236,321.26 | PHP 13,417.93 | PHP 33,971.14 | PHP 20,553.22 | | 38 | PHP 2,215,768.05 | PHP 13,294.61 | PHP 33,971.14 | PHP 20,676.54 | | 39 | PHP 2,195,091.51 | PHP 13,170.55 | PHP 33,971.14 | PHP 20,800.59 | | 40 | PHP 2,174,290.92 | PHP 13,045.75 | PHP 33,971.14 | PHP 20,925.40 | | 41 | PHP 2,153,365.52 | PHP 12,920.19 | PHP 33,971.14 | PHP 21,050.95 | | 42 | PHP 2,132,314.57 | PHP 12,793.89 | PHP 33,971.14 | PHP 21,177.26 | | 43 | PHP 2,111,137.31 | PHP 12,666.82 | PHP 33,971.14 | PHP 21,304.32 | | 44 | PHP 2,089,832.99 | PHP 12,539.00 | PHP 33,971.14 | PHP 21,432.15 | | 45 | PHP 2,068,400.85 | PHP 12,410.41 | PHP 33,971.14 | PHP 21,560.74 | | 46 | PHP 2,046,840.11 | PHP 12,281.04 | PHP 33,971.14 | PHP 21,690.10 | | 47 | PHP 2,025,150.01 | PHP 12,150.90 | PHP 33,971.14 | PHP 21,820.24 | | 48 | PHP 2,003,329.76 | PHP 12,019.98 | PHP 33,971.14 | PHP 21,951.17 | | 49 | PHP 1,981,378.60 | PHP 11,888.27 | PHP 33,971.14 | PHP 22,082.87 | | 50 | PHP 1,959,295.73 | PHP 11,755.77 | PHP 33,971.14 | PHP 22,215.37 | | 51 | PHP 1,937,080.36 | PHP 11,622.48 | PHP 33,971.14 | PHP 22,348.66 | | 52 | PHP 1,914,731.70 | PHP 11,488.39 | PHP 33,971.14 | PHP 22,482.75 | | 53 | PHP 1,892,248.94 | PHP 11,353.49 | PHP 33,971.14 | PHP 22,617.65 | | 54 | PHP 1,869,631.29 | PHP 11,217.79 | PHP 33,971.14 | PHP 22,753.36 | | 55 | PHP 1,846,877.94 | PHP 11,081.27 | PHP 33,971.14 | PHP 22,889.88 | | 56 | PHP 1,823,988.06 | PHP 10,943.93 | PHP 33,971.14 | PHP 23,027.22 | | 57 | PHP 1,800,960.85 | PHP 10,805.77 | PHP 33,971.14 | PHP 23,165.38 | | 58 | PHP 1,777,795.47 | PHP 10,666.77 | PHP 33,971.14 | PHP 23,304.37 | | 59 | PHP 1,754,491.10 | PHP 10,526.95 | PHP 33,971.14 | PHP 23,444.20 | | 60 | PHP 1,731,046.90 | PHP 10,386.28 | PHP 33,971.14 | PHP 23,584.86 | | 61 | PHP 1,707,462.04 | PHP 10,244.77 | PHP 33,971.14 | PHP 23,726.37 | | 62 | PHP 1,683,735.67 | PHP 10,102.41 | PHP 33,971.14 | PHP 23,868.73 | | 63 | PHP 1,659,866.94 | PHP 9,959.20 | PHP 33,971.14 | PHP 24,011.94 | | 64 | PHP 1,635,854.99 | PHP 9,815.13 | PHP 33,971.14 | PHP 24,156.01 | | 65 | PHP 1,611,698.98 | PHP 9,670.19 | PHP 33,971.14 | PHP 24,300.95 | | 66 | PHP 1,587,398.03 | PHP 9,524.39 | PHP 33,971.14 | PHP 24,446.76 | | 67 | PHP 1,562,951.27 | PHP 9,377.71 | PHP 33,971.14 | PHP 24,593.44 | | 68 | PHP 1,538,357.84 | PHP 9,230.15 | PHP 33,971.14 | PHP 24,741.00 | | 69 | PHP 1,513,616.84 | PHP 9,081.70 | PHP 33,971.14 | PHP 24,889.44 | | 70 | PHP 1,488,727.40 | PHP 8,932.36 | PHP 33,971.14 | PHP 25,038.78 | | 71 | PHP 1,463,688.62 | PHP 8,782.13 | PHP 33,971.14 | PHP 25,189.01 | | 72 | PHP 1,438,499.61 | PHP 8,631.00 | PHP 33,971.14 | PHP 25,340.15 | | 73 | PHP 1,413,159.46 | PHP 8,478.96 | PHP 33,971.14 | PHP 25,492.19 | | 74 | PHP 1,387,667.28 | PHP 8,326.00 | PHP 33,971.14 | PHP 25,645.14 | | 75 | PHP 1,362,022.14 | PHP 8,172.13 | PHP 33,971.14 | PHP 25,799.01 | | 76 | PHP 1,336,223.13 | PHP 8,017.34 | PHP 33,971.14 | PHP 25,953.80 | | 77 | PHP 1,310,269.32 | PHP 7,861.62 | PHP 33,971.14 | PHP 26,109.53 | | 78 | PHP 1,284,159.79 | PHP 7,704.96 | PHP 33,971.14 | PHP 26,266.18 | | 79 | PHP 1,257,893.61 | PHP 7,547.36 | PHP 33,971.14 | PHP 26,423.78 | | 80 | PHP 1,231,469.83 | PHP 7,388.82 | PHP 33,971.14 | PHP 26,582.32 | | 81 | PHP 1,204,887.50 | PHP 7,229.33 | PHP 33,971.14 | PHP 26,741.82 | | 82 | PHP 1,178,145.68 | PHP 7,068.87 | PHP 33,971.14 | PHP 26,902.27 | | 83 | PHP 1,151,243.41 | PHP 6,907.46 | PHP 33,971.14 | PHP 27,063.68 | | 84 | PHP 1,124,179.73 | PHP 6,745.08 | PHP 33,971.14 | PHP 27,226.07 | | 85 | PHP 1,096,953.66 | PHP 6,581.72 | PHP 33,971.14 | PHP 27,389.42 | | 86 | PHP 1,069,564.24 | PHP 6,417.39 | PHP 33,971.14 | PHP 27,553.76 | | 87 | PHP 1,042,010.49 | PHP 6,252.06 | PHP 33,971.14 | PHP 27,719.08 | | 88 | PHP 1,014,291.40 | PHP 6,085.75 | PHP 33,971.14 | PHP 27,885.40 | | 89 | PHP 986,406.01 | PHP 5,918.44 | PHP 33,971.14 | PHP 28,052.71 | | 90 | PHP 958,353.30 | PHP 5,750.12 | PHP 33,971.14 | PHP 28,221.02 | | 91 | PHP 930,132.28 | PHP 5,580.79 | PHP 33,971.14 | PHP 28,390.35 | | 92 | PHP 901,741.93 | PHP 5,410.45 | PHP 33,971.14 | PHP 28,560.69 | | 93 | PHP 873,181.24 | PHP 5,239.09 | PHP 33,971.14 | PHP 28,732.06 | | 94 | PHP 844,449.18 | PHP 5,066.70 | PHP 33,971.14 | PHP 28,904.45 | | 95 | PHP 815,544.73 | PHP 4,893.27 | PHP 33,971.14 | PHP 29,077.88 | | 96 | PHP 786,466.86 | PHP 4,718.80 | PHP 33,971.14 | PHP 29,252.34 | | 97 | PHP 757,214.51 | PHP 4,543.29 | PHP 33,971.14 | PHP 29,427.86 | | 98 | PHP 727,786.66 | PHP 4,366.72 | PHP 33,971.14 | PHP 29,604.42 | | 99 | PHP 698,182.23 | PHP 4,189.09 | PHP 33,971.14 | PHP 29,782.05 | | 100 | PHP 668,400.18 | PHP 4,010.40 | PHP 33,971.14 | PHP 29,960.74 | | 101 | PHP 638,439.44 | PHP 3,830.64 | PHP 33,971.14 | PHP 30,140.51 | | 102 | PHP 608,298.93 | PHP 3,649.79 | PHP 33,971.14 | PHP 30,321.35 | | 103 | PHP 577,977.58 | PHP 3,467.87 | PHP 33,971.14 | PHP 30,503.28 | | 104 | PHP 547,474.31 | PHP 3,284.85 | PHP 33,971.14 | PHP 30,686.30 | | 105 | PHP 516,788.01 | PHP 3,100.73 | PHP 33,971.14 | PHP 30,870.42 | | 106 | PHP 485,917.59 | PHP 2,915.51 | PHP 33,971.14 | PHP 31,055.64 | | 107 | PHP 454,861.95 | PHP 2,729.17 | PHP 33,971.14 | PHP 31,241.97 | | 108 | PHP 423,619.98 | PHP 2,541.72 | PHP 33,971.14 | PHP 31,429.42 | | 109 | PHP 392,190.56 | PHP 2,353.14 | PHP 33,971.14 | PHP 31,618.00 | | 110 | PHP 360,572.56 | PHP 2,163.44 | PHP 33,971.14 | PHP 31,807.71 | | 111 | PHP 328,764.85 | PHP 1,972.59 | PHP 33,971.14 | PHP 31,998.55 | | 112 | PHP 296,766.30 | PHP 1,780.60 | PHP 33,971.14 | PHP 32,190.55 | | 113 | PHP 264,575.75 | PHP 1,587.45 | PHP 33,971.14 | PHP 32,383.69 | | 114 | PHP 232,192.06 | PHP 1,393.15 | PHP 33,971.14 | PHP 32,577.99 | | 115 | PHP 199,614.07 | PHP 1,197.68 | PHP 33,971.14 | PHP 32,773.46 | | 116 | PHP 166,840.61 | PHP 1,001.04 | PHP 33,971.14 | PHP 32,970.10 | | 117 | PHP 133,870.51 | PHP 803.22 | PHP 33,971.14 | PHP 33,167.92 | | 118 | PHP 100,702.59 | PHP 604.22 | PHP 33,971.14 | PHP 33,366.93 | | 119 | PHP 67,335.66 | PHP 404.01 | PHP 33,971.14 | PHP 33,567.13 | | 120 | PHP 33,768.53 | PHP 202.61 | PHP 33,971.14 | PHP 33,768.53 | | | | | | | | | | PHP 1,176,537.23 | PHP 4,076,537.23 | PHP 2,900,000.00 | |

* In monthly, the paying of loan is PHP 33,971.14 that will last 120 months.
(SEMI- ANNUALLY) A | PHP 2,900,000.00 | i | 0.06 | 1+i | 1.06 | r | 12.00% | n | 50 | 1+i^n | 0.054288362 | m | 2 | | | 1-raised | 0.945711638 | t | 25 | | | 1-r/d | 15.76186064 | | | | | A/r:d | PHP 183,988.43 | | | | | | | | | | | | | | | | | | | | | | | | | PaymentNumber | Unpaid Balance | Interest Paid | Periodic Payment | Principal Repaid | | 1 | PHP 2,900,000.00 | PHP 174,000.00 | PHP 183,988.43 | PHP 9,988.43 | | 2 | PHP 2,890,011.57 | PHP 173,400.69 | PHP 183,988.43 | PHP 10,587.74 | | 3 | PHP 2,879,423.83 | PHP 172,765.43 | PHP 183,988.43 | PHP 11,223.00 | | 4 | PHP 2,868,200.83 | PHP 172,092.05 | PHP 183,988.43 | PHP 11,896.38 | | 5 | PHP 2,856,304.45 | PHP 171,378.27 | PHP 183,988.43 | PHP 12,610.16 | | 6 | PHP 2,843,694.29 | PHP 170,621.66 | PHP 183,988.43 | PHP 13,366.77 | | 7 | PHP 2,830,327.52 | PHP 169,819.65 | PHP 183,988.43 | PHP 14,168.78 | | 8 | PHP 2,816,158.74 | PHP 168,969.52 | PHP 183,988.43 | PHP 15,018.91 | | 9 | PHP 2,801,139.83 | PHP 168,068.39 | PHP 183,988.43 | PHP 15,920.04 | | 10 | PHP 2,785,219.79 | PHP 167,113.19 | PHP 183,988.43 | PHP 16,875.24 | | 11 | PHP 2,768,344.55 | PHP 166,100.67 | PHP 183,988.43 | PHP 17,887.76 | | 12 | PHP 2,750,456.79 | PHP 165,027.41 | PHP 183,988.43 | PHP 18,961.02 | | 13 | PHP 2,731,495.77 | PHP 163,889.75 | PHP 183,988.43 | PHP 20,098.68 | | 14 | PHP 2,711,397.08 | PHP 162,683.82 | PHP 183,988.43 | PHP 21,304.61 | | 15 | PHP 2,690,092.47 | PHP 161,405.55 | PHP 183,988.43 | PHP 22,582.88 | | 16 | PHP 2,667,509.59 | PHP 160,050.58 | PHP 183,988.43 | PHP 23,937.85 | | 17 | PHP 2,643,571.74 | PHP 158,614.30 | PHP 183,988.43 | PHP 25,374.13 | | 18 | PHP 2,618,197.61 | PHP 157,091.86 | PHP 183,988.43 | PHP 26,896.57 | | 19 | PHP 2,591,301.04 | PHP 155,478.06 | PHP 183,988.43 | PHP 28,510.37 | | 20 | PHP 2,562,790.67 | PHP 153,767.44 | PHP 183,988.43 | PHP 30,220.99 | | 21 | PHP 2,532,569.68 | PHP 151,954.18 | PHP 183,988.43 | PHP 32,034.25 | | 22 | PHP 2,500,535.43 | PHP 150,032.13 | PHP 183,988.43 | PHP 33,956.30 | | 23 | PHP 2,466,579.13 | PHP 147,994.75 | PHP 183,988.43 | PHP 35,993.68 | | 24 | PHP 2,430,585.44 | PHP 145,835.13 | PHP 183,988.43 | PHP 38,153.30 | | 25 | PHP 2,392,432.14 | PHP 143,545.93 | PHP 183,988.43 | PHP 40,442.50 | | 26 | PHP 2,351,989.64 | PHP 141,119.38 | PHP 183,988.43 | PHP 42,869.05 | | 27 | PHP 2,309,120.58 | PHP 138,547.24 | PHP 183,988.43 | PHP 45,441.20 | | 28 | PHP 2,263,679.39 | PHP 135,820.76 | PHP 183,988.43 | PHP 48,167.67 | | 29 | PHP 2,215,511.72 | PHP 132,930.70 | PHP 183,988.43 | PHP 51,057.73 | | 30 | PHP 2,164,453.99 | PHP 129,867.24 | PHP 183,988.43 | PHP 54,121.19 | | 31 | PHP 2,110,332.80 | PHP 126,619.97 | PHP 183,988.43 | PHP 57,368.46 | | 32 | PHP 2,052,964.34 | PHP 123,177.86 | PHP 183,988.43 | PHP 60,810.57 | | 33 | PHP 1,992,153.77 | PHP 119,529.23 | PHP 183,988.43 | PHP 64,459.20 | | 34 | PHP 1,927,694.57 | PHP 115,661.67 | PHP 183,988.43 | PHP 68,326.76 | | 35 | PHP 1,859,367.81 | PHP 111,562.07 | PHP 183,988.43 | PHP 72,426.36 | | 36 | PHP 1,786,941.45 | PHP 107,216.49 | PHP 183,988.43 | PHP 76,771.94 | | 37 | PHP 1,710,169.50 | PHP 102,610.17 | PHP 183,988.43 | PHP 81,378.26 | | 38 | PHP 1,628,791.24 | PHP 97,727.47 | PHP 183,988.43 | PHP 86,260.96 | | 39 | PHP 1,542,530.29 | PHP 92,551.82 | PHP 183,988.43 | PHP 91,436.61 | | 40 | PHP 1,451,093.67 | PHP 87,065.62 | PHP 183,988.43 | PHP 96,922.81 | | 41 | PHP 1,354,170.86 | PHP 81,250.25 | PHP 183,988.43 | PHP 102,738.18 | | 42 | PHP 1,251,432.69 | PHP 75,085.96 | PHP 183,988.43 | PHP 108,902.47 | | 43 | PHP 1,142,530.22 | PHP 68,551.81 | PHP 183,988.43 | PHP 115,436.62 | | 44 | PHP 1,027,093.60 | PHP 61,625.62 | PHP 183,988.43 | PHP 122,362.81 | | 45 | PHP 904,730.78 | PHP 54,283.85 | PHP 183,988.43 | PHP 129,704.58 | | 46 | PHP 775,026.20 | PHP 46,501.57 | PHP 183,988.43 | PHP 137,486.86 | | 47 | PHP 637,539.34 | PHP 38,252.36 | PHP 183,988.43 | PHP 145,736.07 | | 48 | PHP 491,803.27 | PHP 29,508.20 | PHP 183,988.43 | PHP 154,480.23 | | 49 | PHP 337,323.04 | PHP 20,239.38 | PHP 183,988.43 | PHP 163,749.05 | | 50 | PHP 173,573.99 | PHP 10,414.44 | PHP 183,988.43 | PHP 173,573.99 | | | | | | | | | | PHP 6,299,421.52 | PHP 9,199,421.52 | PHP 2,900,000.00 | |

* In Semi-Annually, the payment will be PHP 183,988.43 every six months if you borrow the amount of PHP 2,900,000.00.
(ANNUALLY)
A | PHP 2,900,000.00 | i | 0.1035 | 1+i | 1.1035 | r | 10.35% | n | 20 | 1+i^n | 0.139493268 | m | 1 | | | 1-raised | 0.860506732 | t | 20 | | | 1-r/d | 8.314074702 | | | | | A/r:d | PHP 348,806.10 | | | | | | | | | | | | | | | | | | | | | | | | | PaymentNumber | UnpaidBalance | InterestPaid | PdicPayment | PrincipalRepaid | | 1 | PHP 2,900,000.00 | PHP 300,150.00 | PHP 348,806.10 | PHP 48,656.10 | | 2 | PHP 2,851,343.90 | PHP 295,114.09 | PHP 348,806.10 | PHP 53,692.01 | | 3 | PHP 2,797,651.89 | PHP 289,556.97 | PHP 348,806.10 | PHP 59,249.13 | | 4 | PHP 2,738,402.75 | PHP 283,424.68 | PHP 348,806.10 | PHP 65,381.42 | | 5 | PHP 2,673,021.33 | PHP 276,657.71 | PHP 348,806.10 | PHP 72,148.40 | | 6 | PHP 2,600,872.94 | PHP 269,190.35 | PHP 348,806.10 | PHP 79,615.75 | | 7 | PHP 2,521,257.19 | PHP 260,950.12 | PHP 348,806.10 | PHP 87,855.98 | | 8 | PHP 2,433,401.20 | PHP 251,857.02 | PHP 348,806.10 | PHP 96,949.08 | | 9 | PHP 2,336,452.12 | PHP 241,822.79 | PHP 348,806.10 | PHP 106,983.31 | | 10 | PHP 2,229,468.81 | PHP 230,750.02 | PHP 348,806.10 | PHP 118,056.08 | | 11 | PHP 2,111,412.73 | PHP 218,531.22 | PHP 348,806.10 | PHP 130,274.89 | | 12 | PHP 1,981,137.85 | PHP 205,047.77 | PHP 348,806.10 | PHP 143,758.34 | | 13 | PHP 1,837,379.51 | PHP 190,168.78 | PHP 348,806.10 | PHP 158,637.32 | | 14 | PHP 1,678,742.19 | PHP 173,749.82 | PHP 348,806.10 | PHP 175,056.29 | | 15 | PHP 1,503,685.90 | PHP 155,631.49 | PHP 348,806.10 | PHP 193,174.61 | | 16 | PHP 1,310,511.29 | PHP 135,637.92 | PHP 348,806.10 | PHP 213,168.19 | | 17 | PHP 1,097,343.10 | PHP 113,575.01 | PHP 348,806.10 | PHP 235,231.09 | | 18 | PHP 862,112.01 | PHP 89,228.59 | PHP 348,806.10 | PHP 259,577.51 | | 19 | PHP 602,534.50 | PHP 62,362.32 | PHP 348,806.10 | PHP 286,443.78 | | 20 | PHP 316,090.71 | PHP 32,715.39 | PHP 348,806.10 | PHP 316,090.71 | | | | | | | | | | PHP 4,076,122.07 | PHP 6,976,122.07 | PHP 2,900,000.00 | | * In annually, if you borrow the amount of PHP 2,900,000.00 you will pay PHP 348,806.10 every year.

Applying Exponential Functions in Real-life

* Using an exponential function formulas you can find for example amount of money accumulated in a saving account. * The activity of a radioactive object, and the number of radioactive atoms in the object decay exponentially with time. * In population growth, allowing predictions into the future of the size of the population, and its rate of growth.

* I learned about exponential functions is that it can find if the object is rapidly growing or decaying. It can also help to calculate the amount of money in loans, banks etc…

Cham Investment Company
Olongapo City

Letter of Proposal

Mr. Jessan De Castro
Olongapo City

Dear Sir,

Greetings! We are aware that you are about to loan the amount of PHP 2,900,000.00. Our company is willing to give you equality when it comes to payment. Our Investment company is a trust engaged in the business of investing the pooled capital of investors in financial securities. And also our company will give you an small interest, so you will not have trouble paying in the exact time. The process of our company is we will assure the security between the money you will borrow and the money you will pay to us.

And we have the following options to help you think of what will you choose in paying the loan.

* In quarterly, you will have to pay the amount Php 102,328.61 in 4 months. You are given 140 months to pay the amount you loaned. * In monthly, you will have to pay the amount of Php 33,971.14 in a month. You are given 120 months to pay the amount you loaned. * In semi-annually, you will have to pay the amount of Php 183,988.43 every 6 months. You are given 50 months to pay the amount you loaned. * And in annually, you will have to pay the amount of Php 348,806.10 every year. You will pay this amount in 20 years.

In this case, we guarantee you to choose monthly. It will help you to pay an small amount in other options. It will give you advantage to pay in the exact time that you are given. Thank you!

Yours Truly, Cham Investment Company…...

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