$1.)$ An amount of R$1500$ is deposited in a bank paying an annual interest rate of

$4\mathrm{.}3\%,$ compounded quarterly. Find the balance after $6$ years.

$2.)$ Your goal is to accumulate R$30000$ after $17$ years from now. How much must you

invest now to have, at an interest rate of $8\%$ compounded semi$-$annually?

$3.)$ If R$500$ accumulated to R$700$ in $5$ years with a certain interest compounded

quarterly, what is the rate of interest?

$4.)$ A debt of R$5000$ is to be amortised by $5$ quarterly payments made at $3$ month

intervals. If interest is charged at the rate of $12\%$ convertible quarterly, find the

period payment and construct an amortisation schedule.

Round the payment up to the nearest cent.

$5.)$ Raees Braai Ltd has the following capital structure:

Equity $,2000000,$R$2,$ordinary shares, market price R$2,50$

Preference $,1000000,12\%,R1$ preference shares, market price R$1,20$

Reserves R$1500000$

Bank loan R$500000,15\%$ bank loan

Debentures R$1750000,16\%$ debentures, market price R$110($issued at R$100).$

The current and expected future rate of ordinary share dividend is $20\%.$

$6.)$ SK Handelaars is a logistics company based in Polokwane, South Africa.

They are deciding whether to pay out R$120000$ in excess cash in the form of an

extra dividend or implement a share buyback$/$repurchase$.$ Their profits for the current year are R$1\mathrm{.}95$ per share and the share sells for R$18.$

Their summarised balance sheet prior to the dividend payment is as follows

$($all figures in ZAR$).$

a$)$ Calculating the number of shares in issue.

b$)$ The dividends per share $($for the first alternative and pay the dividend$).$

c$)$ Calculate: the new share price, the Earnings per share and the

price$-$earnings ratio.

d$)$ What alternative do you consider to be the best? Why?