MoneyFlows Bank Plc. provides you with a loan valued at K10, 000
and you agree to repay the balance in 10 equal instalments, paid at
the end of each period. The loan costs you 6% interest compounded
semi-annually.
Required: (Round the answers to 2 decimal places)
i. Calculate the effective annual rate.
ii. Find the repayment to be made at the end of each period.
iii. Draw an amortization schedule for the first 3 periods.
i) Effective annual rate = [ 1 + ( 0.06/2) ] 2x1 -1
Effective annual rate = 6.09%
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2) Repayment at each period = 10,000 1 - [ 1 + (0.0609) ] -10 (0.0609)
Repayment at each period = $ 1,364.48
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iii)
Period | Starting balance | Periodic payment | Interest | Principal | Remaining balance |
1 | 10000 | 1364.48 | 609 | 755.48 | 9244.52 |
2 | 9244.52 | 1364.48 | 562.9913 | 801.488732 | 8443.03127 |
3 | 8443.031268 | 1364.48 | 514.1806 | 850.299396 | 7592.73187 |
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