PC 11 LG 1 – 2 Financial Literacy Name ___________________
WORKSHEET #2 Simple and Compound Interest
Name: ___________________________
/50
1 If $3200 is invested for 9 months at 5% p.a., 2
calculate:
(a) the amount of simple interest earned
(b) the total amount at the end of the term.
2 How long will it take to earn $500 simple 2
interest, investing $8500 at 4.25% p.a.?
3 Johnny invested $60 000 in Ski International 1
debentures. He earned 6.5% p.a. which is paid
quarterly. How much interest will he earn over
5 years?
1
PC 11 LG 1 – 2 Financial Literacy Name ___________________
4 Kim has $18 000 to invest for 2 years. She has 9
the following options:
(a) A term deposit at 4.5% compounded
annually.
(b) Shares, paying a rate of 4.48% per annum
with dividend paid quarterly.
(c) A building society account, paying a
return of 4.56% per annum with monthly
rests.
(d) A business venture with guaranteed
return of 3.65% p.a. and interest paid
daily.
Advise Kim which option to take if all the
investments are equally secure.
2
PC 11 LG 1 – 2 Financial Literacy Name ___________________
5 (a) Calculate the compound interest on a 11
term deposit of $10 000 at the rate of
6% p.a. for 3 years when the investment
is compounded
(i) annually
(ii) semi-annually
(iii) quarterly
(iv) monthly
(v) daily.
(b) Which is the best investment option?
3
PC 11 LG 1 – 2 Financial Literacy Name ___________________
6 Colin invests $5000 for 5 years at 5.25% p.a. Compounding monthly 2
How much more would he collect at the end of
the 5-year period if the money invested is
compounding monthly rather than
compounding annually?
Compounding yearly
7 The table below shows the yearly growth of an 5
investment of $10 000 over a period of 5 years
at 3.75% p.a. interest compounded annually.
Time
0 1 2 3 4 5
(years)
Value
10 000 10 375 10 764 11 168 11 587 12 021
($)
Graph the value of the investment over time.
4
PC 11 LG 1 – 2 Financial Literacy Name ___________________
8 Chris invests $20 000 at 6% p.a. with interest 8
compounding annually.
(a) Complete the table below to show the
future value at the end of each year.
No. of
1 2 3 4 5
years
Future
value
(b) Draw a graph of the future value of the
investment against time.
9 An interest rate of 4.5% p.a. compounding 5
quarterly is equivalent to what effective interest
rate?
5
PC 11 LG 1 – 2 Financial Literacy Name ___________________
10 Marilyn can invest in two different funds: 5
(a) 6% p.a. simple interest
(b) 5.75% p.a. compound interest with
monthly rests.
She is inclined to choose the 6% p.a. simple
interest because this is a higher value. Is this a
wise choice? Explain your answer.