Question

Suppose you borrowed $95,000 at a rate of 8.5% and must repay it in 5 equal...

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?

Homework Answers

Answer #1

$ 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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