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The present value of a series of payments of $3 at the end of every eight years, forever, is
equal to $9.5. Calculate the effective annual rate of interest.
​Recently, More Money 4U offered an annuity that pays 5.4% compounded monthly. If $1,251 is deposited into this annuity every​ month, how much is in the account after 8 ​years? How much of this is​ interest?
Type the amount in the​ account: ​$nothing
​(Round to the nearest​ dollar.)
Type the amount of interest​ earned: ​$nothing
​(Round to the nearest​ dollar.)

Calculate the break-even value using the marginal income ratio.

1.2 The sales manager proposes a R2 per unit reduction in selling price with the

expectation that this would increase sales by 2 000 units. Is this a good idea?

Motivate your answer.

(4 marks)

1.3 Determine the selling price per unit if a net profit of R486 000 is desired.


INFORMATION


The following forecasts for January 2021 were provided by Walton's Manufacturers:


Sales (36 000 units) ----------------------------------------R1080 000

Direct materials cost per unit ----------------------------R8

Direct labour cost per unit ---------------------------------R5

Variable manufacturing overhead costs per unit ----------R2

Fixed manufacturing overheads -------------------------------R150 000

Fixed marketing and administrative costs--------------------R120 000


Sales commission ------------------------------R10% OF SALES


Janet is going to purchase a new bedroom set from Ashley Furniture. She finds a set that she loves and will cost her $5,550 for all items. She is choosing to do an 8-month deferment payment. How much interest will she have gain onto her cost is she is charged an 22% rate compounded monthly?
(m = million/s ; b = billion/s)
Conifers Ltd, a tree relocation company, follows a stable plus special dividend policy. The company recently (2020) had earnings available to common shareholders of R500m on sales of R2b and has 250m shares outstanding. The company maintains a stable pay-out ratio of 5% and issues special dividends whenever its net profit margin exceeds 10%. Special dividends amount to all profits exceeding 50% of the amount after the stable dividend had been deducted.
Required:
Determine the total dividend that Conifers Ltd will pay per share in 2020.
Maria is a aerospace engineer. She ears 78,000 a year and is paid on a monthly basis. What is her total deduction from each check for social security and Medicare taxes?
A four year loan of $5000 is repaid by equal annual payments at the end of each year. Compute the annual payment on the basis of an interest rate of 6% p.a. and draw up a loan
schedule, showing the interest component of every payment and the outstanding balance.
An annuity is payable half-yearly for six years, the first half-yearly payment of amount $1800
being due after two years. The amount of subsequent payments decreases by $30 every halfyear. On the basis of an interest rate of 5% per half year, find the present value of the annuity
An annuity is payable in arrear for 20 years. The first payment is of amount $8000 and the
amount of each subsequence payment decreases by $300 each year. Find the present value
of the annuity on the basis of an interest rate of 5% per annum.
A savings plan requires you to make payments of $250 each at the end of every month for a
year. The bank will then make six equal monthly payments to you, with its first payment due
one month after the last payment you make to the bank. Compute the size of each monthly
payment made by the bank, assuming a nominal interest rate of 4% p.a. payable monthly
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