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Joan Williams borrowed $15 000 at 14% annual rate of interest to be repaid over three years. The loan is repaid over three equal end of year payments.

i.) Calculate the annual end of year payments
ii) Prepare a loan amortization schedule showing the interest and principal breakdown of each of the three loan payments

1 Answer

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Final answer:

i) The annual end-of-year payments for the loan are $5,000. ii) The loan amortization schedule shows that in the first year, the interest payment is $2,100 and the principal payment is $2,900. In the second year, the interest payment is $1,694 and the principal payment is $3,306. In the third year, the interest payment is $1,229 and the principal payment is $3,771.

Step-by-step explanation:

To calculate the annual end-of-year payments for the loan, we need to divide the total loan amount by the duration of the loan. In this case, the loan is $15,000 and it is repaid over three years. Therefore, the annual payments would be $15,000 divided by 3, which equals $5,000.

To prepare a loan amortization schedule, we need to calculate the interest and principal breakdown of each loan payment. In the first year, the interest would be $15,000 multiplied by 14%, which equals $2,100. The principal payment would be the annual payment of $5,000 minus the interest payment, which is $5,000 - $2,100 = $2,900.

In the second year, the interest would be $12,100 (remaining balance from the first year) multiplied by 14%, which equals $1,694. The principal payment would be $5,000 - $1,694 = $3,306. In the third year, the interest would be $8,794 (remaining balance from the second year) multiplied by 14%, which equals $1,229. The principal payment would be $5,000 - $1,229 = $3,771.

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