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2 years ago

A sum of K3,000 is borrowed for 2 years at the reducing balance interest rate of 12% p.a. compounded every two-monthly.

Business

1 answer:

kobusy [5.1K]2 years ago

4 0

a) The full loan repayment schedule for the two years is as follows:

<h3>Loan Repayment Schedule:</h3>

Period PV PMT Interest FV

1 $3,000.00 $283.68 $60.00 $2,776.32

2 $2,776.32 $283.68 $55.53 $2,548.17

3 $2,548.17 $283.68 $50.96 $2,315.45

4 $2,315.45 $283.68 $46.31 $2,078.08

5 $2,078.08 $283.68 $41.56 $1,835.97

6 $1,835.97 $283.68 $36.72 $1,589.01

Year #1 end

7 $1,589.01 $283.68 $31.78 $1,337.11

8 $1,337.11 $283.68 $26.74 $1,080.17

9 $1,080.17 $283.68 $21.60 $818.10

10 $818.10 $283.68 $16.36 $550.78

11 $550.78 $283.68 $11.02 $278.12

12 $278.12 $283.68 $5.56 $0.00

Year #2 end

b) The balance of the loan at the end of the seventh repayment period is <u>$1,337.11</u>.

c) The total interest paid for this loan is <u>$404.16</u>.

d) If the borrower decides to terminate the loan after the first year, the termination payment should be <u>$1,589.01</u>.

<h3>Data and Calculations:</h3>

N (# of periods) = 12 months (2 x 6)

I/Y (Interest per year) = 12%

PV (Present Value) = K3000

FV (Future Value) = K0

<u>Results</u>:

PMT every two months = $283.68

Sum of all periodic payments = $3,404.16 ($283.68 x 12)

Total Interest = $404.16

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