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SOLVE WITH EXCEL FUNCTIONS: A loan must be canceled monthly in 3 years like this: twelve...

SOLVE WITH EXCEL FUNCTIONS: A loan must be canceled monthly in 3 years like this: twelve equal monthly installments in the first year of $ 5,000, the thirteenth installment is the 12th installment decreased by $ 250 and so on they will decrease in the same amount until the month 24. The 25th installment It is the 24 installment increased by $ 300 and so will continue to increase by $ 300 until month 36. Find the value of the loan if the interest is 2% monthly.
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Answer #1

Given

interest rate r=2% monthly

Loan Value = Present Value of 1st year instalment + Present Value of 2nd year instalment +Present Value of 3rd year instalment

1st year instalment A1=$5000

Present Value of 1st year instalment= 5000*(1-(1+2%)^-12)/2%=$52876.71

Month Instalment PV of Instalment
13 4750 3671.90
14 4500 3410.44
15 4250 3157.81
16 4000 2913.78
17 3750 2678.11
18 3500 2450.56
19 3250 2230.90
20 3000 2018.91
21 2750 1814.38
22 2500 1617.10
23 2250 1426.85
24 2000 1243.44
PV of 2nd year 28634.19
Month Instalment PV of Instlment
25 2300 1401.92
26 2600 1553.71
27 2900 1699.00
28 3200 1838.00
29 3500 1970.89
30 3800 2097.87
31 4100 2219.11
32 4400 2334.79
33 4700 2445.08
34 5000 2550.14
35 5300 2650.15
36 5600 2745.25
PV of 3rd year 25505.89

Loan Value = Present Value of 1st year instalment + Present Value of 2nd year instalment +Present Value of 3rd year instalment =52876.71+28634.19+25505.89=$107016.80

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