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your company is planning to borrow $2 million on a 7 year, 11%, annual payment,

ID: 2774825 • Letter: Y

Question

your company is planning to borrow $2 million on a 7 year, 11%, annual payment, fully amortized term loan . what fraction of the payment made at the end of second year will represent repayment of principal? your company is planning to borrow $2 million on a 7 year, 11%, annual payment, fully amortized term loan . what fraction of the payment made at the end of second year will represent repayment of principal? your company is planning to borrow $2 million on a 7 year, 11%, annual payment, fully amortized term loan . what fraction of the payment made at the end of second year will represent repayment of principal?

Explanation / Answer

Annual payment = Loan Amount/Annuity Factor

Annual payment = 2000000/ ((1-(1+11%)^-7)/11%)

Annual payment = $ 424,430.54

Interest payment in 1st year = 2000000*11% = 220000

Prinicipal Payment in 1st Year = 424430.54 - 220000

Prinicipal Payment in 1st Year = $ 224,430.54

Amount Outstanding after 1st Payment = 2000000-224430.54

Amount Outstanding after 1st Payment = $ 1775569.46

Interest payment in 2nd year =1775569.46*11% = 195312.64

Prinicipal Payment in 2nd year = 424430.54 - 195312.64

Prinicipal Payment in 2nd year  = $ 229,117.90

Answer

Prinicipal Payment in 2nd year  = $ 229,117.90