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Loan Amortization Your company is planning to borrow $1.5 million on a 7-year, 8%, annual payment,...

Loan Amortization

Your company is planning to borrow $1.5 million on a 7-year, 8%, annual payment, fully amortized term loan. What fraction of the payment made at the end of the second year will represent repayment of principal? Round your answer to two decimal places.

Solutions

Expert Solution

INstalment = Loan / PVAF(r%, n)

= $ 1,500,000 / PVAF(8%, 7)

= $ 1,500,000 / 5.2064

= $ 288108.60

Loan Amortiaztion:

Year Opeing Bal Instalment Int Principal Repay Closing Bal
1 $ 15,00,000.00 $ 2,88,108.60 $ 1,20,000.00 $ 1,68,108.60 $ 13,31,891.40
2 $ 13,31,891.40 $ 2,88,108.60 $ 1,06,551.31 $ 1,81,557.29 $ 11,50,334.11
3 $ 11,50,334.11 $ 2,88,108.60 $    92,026.73 $ 1,96,081.87 $   9,54,252.23
4 $   9,54,252.23 $ 2,88,108.60 $    76,340.18 $ 2,11,768.42 $   7,42,483.81
5 $   7,42,483.81 $ 2,88,108.60 $    59,398.70 $ 2,28,709.90 $   5,13,773.91
6 $   5,13,773.91 $ 2,88,108.60 $    41,101.91 $ 2,47,006.69 $   2,66,767.22
7 $   2,66,767.22 $ 2,88,108.60 $    21,341.38 $ 2,66,767.22 $               -0.00

Pricipay Repay for Year 2 is $ 181,557.29


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