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MAC2602-25-S2

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Grandfather

Julius

just got

news of the birth of his first grandson. He plans to invest an amount of money

at a compound interest rate of 4% to have a total amount of R100 000 after

20 years to pay for his newborn grandson’s tertiary education.

You are

required to calculate

the amount that Julius will need to invest now?

Set your

calculator to four decimal places and round your final answer to the nearest

rand. If s

light

rounding differences occur - choose the alternative that is closest to your

answer.

(a)  R45 639

(b)  R  7 358

(c)  

R  5 200  

(d)  R  1 195 

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Tebogo

invested

an amount of R3 000 today in a money market account that bears interest at 5,5%

compound interest per annum.

What will the amount of his investment be

after 5 years?

Set your

calculator to four decimal places and round the final answer to the nearest

rand. Slight rounding differences may occur - choose the alternative that is

closest to your answer.

(a) 

R  9 321

(b) 

R74 519

(c)  R37 815

(d)  R  3 921

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FAKE-TURF

Company will be renting out their office space

in Cape Town for a period of three (3) years. They will receive R450 000

per year. The first payment will be due now, and the remainder of the payments

at the beginning of each of the following two years.

Calculate the

present value of the annuity received in advance?

The compound interest

rate is 9%. Set your calculator to four decimal places for calculations and round

the final answer to the nearest rand. Slight rounding differences may occur -

choose the alternative that is closest to your answer.

(a)  R   791 505

(b)  R1 241 500

(c)  

R1

683 000

(d)  R1 233 000

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An annuity pays R15 000 per

year at the end of every year for 15 years. Interest is compounded at 8% per

annum.

What is the present value of the annuity?

Set your

calculator to four decimal places and round the final answer to the nearest

rand. Slight rounding differences may occur - choose the alternative that is

closest to your answer.

(a) 

R123 664

(b) 

R243 000

(c)  R225 000

(d) 

R128 400

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You always had this dream to

one day experience a white Christmas. You decided to save to go on this

overseas holiday six years from now. You estimated that you would have to pay

R60 000 for this overseas holiday.

Calculate the amount that you

will need to invest every year at a compound interest rate of 7% per annum to

have the amount of R60 000 after six years?

Set

your calculator to four decimal places for calculations and round the final answer

to the nearest rand. Slight rounding differences may occur - choose the

alternative that is closest to your answer.

(a)  R8 388

(b)  R2 799

(c)  

R9

826

(d)  R7 148

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A loan has a nominal interest rate of 14% per annum.  Interest is compounded every three months.

Which

one of the following options reflects the effective annual interest rate on the

loan?

Set your calculator to four decimal places. Round the final

interest rate to two decimal places. Slight rounding differences may occur -

choose the alternative that is closest to your answer.

(a)  14,75%

(b)  14,67%

(c)  13,80%

(d)  13,32%

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AFRI-

BANK wants to

advertise an investment opportunity to its current and potential clients. The

particulars of this investment will be that the client must invest at least

R10 000. The effective interest rate will be 9,20% per annum and interest

will be earned on a six-monthly basis.

They want to know what the nominal

interest rate of this investment opportunity will be.

 

Set

your calculator to four decimal places for calculations and round the final answer

to two decimal places. Slight rounding differences may occur - choose the

alternative that is closest to your answer.

(a)  38,49%

(b)  18,40%

(c)  

11,06%

(d)     9,00%

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Deborah

is saving to enroll for her post–grad diploma in 3 years’ time. She is using

her annual bonus for this purpose. She will make a payment of R7 000 at

the beginning of each year for the next 3 years and will earn compound interest

of 8,5% per year.

Calculate the amount that she will have saved

after 3 years?

Set your calculator to four

decimal places for calculations and round the final answer to the nearest rand.

Slight rounding differences may occur - choose the alternative that is closest

to your answer.  

(a)  R15 836

(b)  R22 836

(c)  R24 777

(d)  R31 776

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The owner of

Fresh Veggies invested R200 000 for a period of five years at 5% per annum. The

interest will be calculated semi-annually.

Determine the total interest

for the period if simple interest is added?

Set your calculator to four decimal places and round

your final answer to the nearest rand. If s

light

rounding differences occur - choose the alternative that is closest to your

answer.

(a)  R256 017

(b)  R  56 017

(c)  R100 000

(d)  R330 660

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Andile already

calculated the present value

of a future amount at a

discount rate of 9% to be R215,80. The present value

of the same amount at

a discount rate of 11% was R196,40.

Use interpolation to calculate

the discount rate that will achieve a present value of R200,50
.

Set your calculator to four decimal places and round

your final answer to two decimal places. If s

light

rounding differences occur - choose the alternative that is closest to your

answer.

(a)  11,58%

(b)     7,42%

(c)   10,58% 

(d)   11,53%

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