Standard Form and Compound Interest - Comparing Simple and Compound Interest Plans

Standard Form and Compound Interest - Comparing Simple and Compound Interest Plans

IP 1
4 marks

Katherine wants to invest \(\$40\,000\) into a savings plan. The banker offers her \(2\) plans.

PlanPlan Summary
AInterest of \(4\%\) per annum compounded every \( 3\) months over \( 2\) years with \(\$100\) immediate cash voucher.
BSimple interest of \(4.25\%\) per annum over \(2\) years.

Justify which plan should Katherine invest in.[4]

Solution:

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Answer:Katherine should invest in Plan A because it yields a slightly higher total return \(\$43,414.27\) compared to Plan B \(\$43,400.00\), giving a difference of \(\$14.27\) in her favor.

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