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The equation for the present value of Bond CDE on 24/06/2025 is given by

        

 and the fraction of the half year to be discounted back is 74/181.

The accrued interest is

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A linear correlation coefficient of r = −0,97 that has been calculated for a data set means

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Siziphiwe wants to buy Clean Carwash around the corner. The following cash flows are involved:

Time (years)

Cash flows (R)

2

3

7

8

9

200 000

500 000

700 000

850 000

210 000

Siziphiwe can borrow money at 19% per annum while he can invest at 17,5% per annum.

Calculate the present value of the cash outflows.

[Answer format: Rddd ddd,dd (R: rand; d: digit)]

[Example of an answer in the correct format: R123 456,78]

Ensure that your answer is typed in the correct format otherwise you will forfeit the mark!

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The standard deviation is
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The equation for the present value of Bond CDE on 24/06/2025 is given by

        

 and the fraction of the half year to be discounted back is 74/181.

The clean price for Bond CDE is

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Sarah will discharge a debt of R500 000 six years from now, using the sinking fund method. The debt’s interest is 15,6% per year, paid quarterly. The sinking fund earns interest at a rate of 8,4% per year, compounded monthly. The monthly deposit into the sinking fund is

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If

then

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You are saving to pay for your daughter’s university fees in 20 years’ time. Your saving deposit the first year is R3 600, after which your yearly deposits increases by R360 each year. If the expected interest rate is 10% per year, calculate the amount that you expect to receive to the nearest ten rand on the maturity date.

[Answer format: Rddd ddd (R: rand; d: digit)]

[Example of an answer in the correct format: R123 450]

Ensure that your answer is typed in the correct format otherwise you will forfeit the mark!

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The Treasure Fund was created for Lekiel after he lost his leg on the battlefield. The fund has undertaken to pay him R1 200 000 now. Lekiel prefers to receive three payments: one three years from now; one twice the size of the first payment six years from now, and one four times the size of the first payment ten years from now. The amount of money to the nearest rand that Lekiel can expect to receive six years from now if the interest rate changes to 8,6% per year, compounded quarterly, will be

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Beauty borrowed money that must be repaid in nine payments. The first four payments of R2 000 each are paid at the beginning of each year. Thereafter five payments of R5 000 each are paid at the end of each year. Note there is only one payment per year. If money is worth 6,85% per year, then the present value of these payments to the nearest rand is

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