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In January 2018 Ms Langa took a loan of R250 000 that matures in December 2033....

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Finance

In January 2018 Ms Langa took a loan of R250 000 that matures inDecember 2033. The bank charges an interest rate of 24% andrequires her to repay in equal semi-annual instalments over theperiod.

b. What is the number of repayments expected to complete theschedule?

side note

a. repayment amount R31 036

Answer & Explanation Solved by verified expert
4.2 Ratings (788 Votes)

Number of repaymentd = years*payment per year = (2033-2018)*2 = 30

Semi Annual rate(M)= yearly rate/12= 12.00% Semi Annual payment= 31035.91
Half year Beginning balance (A) Semi Annual payment Interest = M*A Principal paid Ending balance
1 250000.00 31035.91 30000.00 1035.91 248964.09
2 248964.09 31035.91 29875.69 1160.22 247803.86
3 247803.86 31035.91 29736.46 1299.45 246504.41
4 246504.41 31035.91 29580.53 1455.39 245049.03
5 245049.03 31035.91 29405.88 1630.03 243418.99
6 243418.99 31035.91 29210.28 1825.64 241593.36
7 241593.36 31035.91 28991.20 2044.71 239548.65
8 239548.65 31035.91 28745.84 2290.08 237258.57
9 237258.57 31035.91 28471.03 2564.89 234693.69
10 234693.69 31035.91 28163.24 2872.67 231821.01
11 231821.01 31035.91 27818.52 3217.39 228603.62
12 228603.62 31035.91 27432.43 3603.48 225000.14
13 225000.14 31035.91 27000.02 4035.90 220964.24
14 220964.24 31035.91 26515.71 4520.21 216444.04
15 216444.04 31035.91 25973.28 5062.63 211381.41
16 211381.41 31035.91 25365.77 5670.15 205711.26
17 205711.26 31035.91 24685.35 6350.56 199360.70
18 199360.70 31035.91 23923.28 7112.63 192248.07
19 192248.07 31035.91 23069.77 7966.15 184281.92
20 184281.92 31035.91 22113.83 8922.08 175359.84
21 175359.84 31035.91 21043.18 9992.73 165367.10
22 165367.10 31035.91 19844.05 11191.86 154175.24
23 154175.24 31035.91 18501.03 12534.89 141640.36
24 141640.36 31035.91 16996.84 14039.07 127601.29
25 127601.29 31035.91 15312.15 15723.76 111877.53
26 111877.53 31035.91 13425.30 17610.61 94266.91
27 94266.91 31035.91 11312.03 19723.88 74543.03
28 74543.03 31035.91 8945.16 22090.75 52452.28
29 52452.28 31035.91 6294.27 24741.64 27710.64
30 27710.64 31035.91 3325.28 27710.64 0.00
Where
Interest paid = Beginning balance * Semi Annual interest rate
Principal = Semi Annual payment – interest paid
Ending balance = beginning balance – principal paid
Beginning balance = previous Half year ending balance

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Transcribed Image Text

In January 2018 Ms Langa took a loan of R250 000 that matures inDecember 2033. The bank charges an interest rate of 24% andrequires her to repay in equal semi-annual instalments over theperiod.b. What is the number of repayments expected to complete theschedule?side notea. repayment amount R31 036

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