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Deliwe inherits R600 000 now. She decides to have it paid to her in two payments: one payment four years from now, and the second payment, twice the size of the first payment, eight years from now. If money is worth 12,6% per year compounded quarterly, then the amount of money that Deliwe expects to receive eight years from now is
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Frieda borrows R7 500 from the bank at an interest rate of 26,00% per year, compounded weekly. The amount that Frieda will have to pay back after 78 weeks will be
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The last six payments of a loan are reflected in the following amortisation schedule.
| MONTH | OUTSTANDING PRINCIPAL AT THE BEGINNING OF THE MONTH | INTEREST DUE AT THE END OF THE MONTH | PAYMENT | PRINCIPAL REPAID |
| 175 | R49 964,10 | R422,40 | R8 530,49 | R8 108,09 |
| 176 | A | R353,48 | R8 530,49 | F |
| 177 | R33 409,01 | C | R8 530,49 | G |
| 178 | R25 162,50 | D | R8 530,49 | R8 316,61 |
| 179 | B | R143,19 | R8 530,49 | H |
| 180 | R8 458,59 | E | R8 530,49 | I |
The value of A equals
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David considers making an investment with an initial outlay of R500 000. He expects five successive annual cash inflows of R75 000, R190 000, R40 000, R150 000 and R180 000, respectively. If the cost of capital (
K) is 10% per annum, then the profitability index is equal toQuestions are sequential. You cannot go back to any question once you've clicked "Next Page".
A firm intends studying the relationship between the age (in years) and the annual repair cost (in thousands of rand), of the machines in their factory. A sample of eight machines was randomly selected and the following data were collected:
Age of machine (in years) x | Repair cost (in thousands of rand) y |
3 6 8 4 7 10 1 4 | 4 10 11 7 10 16 2 6 |
Determine the correlation coefficient of a linear regression between x and y. What relationship exists between x and y?
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Phuthi invests R25 000 into an account. It will have accumulated to R25 570,08 after 276 days. What is the simple interest rate applicable?
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Conrad managed to secure a home loan of R1 600 000 for 20 years at 11,9% per year, compounded monthly. His monthly payment is R17 505,96. An average inflation rate of 4,75% per year compounded monthly is expected. The real cost (the difference between the total value of the loan and the actual principal borrowed) rounded to the nearest rand, of the loan is
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Lebogang wants to open the Feel Safe shop at his village’s mall. He deposits R375 000 on 5 May 2025 into an account, earning 7,91% interest per year, compounded on the first day of each month. If simple interest is used for the odd periods and compound interest for the full terms, then the amount that Lebogang will have available on 14 October 2025 will equal
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Consider BOND XXX:
Coupon rate: 9,4% per year
Yield to maturity: 10,6% per year
Settlement date: 16 July 2023
Maturity date: 9 October 2049
NOTE: Do not take into account an extra day for leap years.
What is the value of n, the number of half-years from the next coupon date until maturity?
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A debt of R600 000 will be discharged from a sinking fund after seven years. The debt's interest is 17,1% per year, paid quarterly. The sinking fund will earn interest at a rate of 9,25% per year, compounded monthly. The monthly payments in the sinking fund equal