In: Finance
Construct an amortization schedule for a loan with the following characteristics. Loan amount = $10,000; term = 5 years; interest rate = 8 percent; annual payments.
given about a loan,
loan amount = $10000
interest rate = 8%
Term = 5 years,
So annual payment of this loan is calculated as,
PMT = PV*r/(1 - (1+r)^-t) = 10000*0.08/(1 - 1.08^-5) = $2504.56
Amortization schedule is calculated in table below:
Payment for every year = Annual payment = $2504.56
Interest = previous year balance*interest rate 8% = previous balance*0.08
Principal = Payment - Interest
Balance = Previous balance - principal
Month | Payment | Interest | Principal | Balance |
0 | $ 10,000.00 | |||
1 | $ 2,504.56 | $ 800.00 | $ 1,704.56 | $ 8,295.44 |
2 | $ 2,504.56 | $ 663.63 | $ 1,840.93 | $ 6,454.51 |
3 | $ 2,504.56 | $ 516.36 | $ 1,988.20 | $ 4,466.30 |
4 | $ 2,504.56 | $ 357.30 | $ 2,147.26 | $ 2,319.04 |
5 | $ 2,504.56 | $ 185.52 | $ 2,319.04 | $ - |