Question

In: Finance

4. A loan of $50,000 is to be repaid by 10 annual payments which are made...

4. A loan of $50,000 is to be repaid by 10 annual payments which are made at the beginning of the year. The first 6 payments are $K each and the remaining 4 payments are $2K each. Construct the amortization schedule if the annual effective interest rate is 6%.

Solutions

Expert Solution

Hello Sir/ Mam

Please find below the payment schedule:

Years Principal Principal Payment at Beginning Interest Installment Closing Balance
1 $50,000.00 $4,811.85 $0.00 $4,811.85 $45,188.15
2 $45,188.15 $2,100.56 $2,711.29 $4,811.85 $43,087.60
3 $43,087.60 $2,226.59 $2,585.26 $4,811.85 $40,861.00
4 $40,861.00 $2,360.19 $2,451.66 $4,811.85 $38,500.82
5 $38,500.82 $2,501.80 $2,310.05 $4,811.85 $35,999.02
6 $35,999.02 $2,651.91 $2,159.94 $4,811.85 $33,347.11
7 $33,347.11 $7,622.87 $2,000.83 $9,623.69 $25,724.25
8 $25,724.25 $8,080.24 $1,543.45 $9,623.69 $17,644.01
9 $17,644.01 $8,565.05 $1,058.64 $9,623.69 $9,078.96
10 $9,078.96 $9,078.96 $544.74 $9,623.69 $0.00

I hope this solves your doubt.

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