Suppose you borrowed $95,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year?
$ 16,032.75
Step-1:Calculation of annual payment | |||||
Annual payment | =-pmt(rate,nper,pv,fv) | ||||
=$ 24,107.75 | |||||
Where, | |||||
rate | = | Interest rate | = | 8.50% | |
nper | = | Number of perid | = | 5 | |
pv | = | Loan amount | = | $95,000 | |
fv | = | Value of loan at the end of 5 years | = | $0 | |
Step-2:Loan amortization schedule for 5 years | |||||
Year ended | Beginning Loan | Annual Payment | Annual Interest | Principal reduction | Ending Loan |
a | b | c=a*8.50% | d=b-c | e=a-d | |
1 | 95,000.00 | 24,107.75 | 8,075.00 | 16,032.75 | 78,967.25 |
2 | 78,967.25 | 24,107.75 | 6,712.22 | 17,395.53 | 61,571.72 |
3 | 61,571.72 | 24,107.75 | 5,233.60 | 18,874.15 | 42,697.57 |
4 | 42,697.57 | 24,107.75 | 3,629.29 | 20,478.45 | 22,219.12 |
5 | 22,219.12 | 24,107.75 | 1,888.63 | 22,219.12 | -0.00 |
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