Question

In: Finance

Construct an amortization schedule for a loan with the following characteristics. Loan amount = $10,000; term...

Construct an amortization schedule for a loan with the following characteristics. Loan amount = $10,000; term = 5 years; interest rate = 8 percent; annual payments.

Solutions

Expert Solution

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 $                -  

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