A certain company is currently listed at Dar es Salaam Stock Exchange $($DSE$),$ with its market capitalization value standing at approximately TZS $1\mathrm{.}31$ Trillion. Its share prices at the end of the last ten successive months were: TZS $295$; TZS $350$; TZS $312$; TZS $435$; TZS $530$; TZS $432,$ TZS $510,$ TZS $385,$ TZS $416$ and TZS $420.$

Required:

a$)$ Compute the average $($end of month$)$ price of the shares. $[3$ Marks$]$

b$)$ Establish how many shares could be bought with TZS $3,450,000$ at the average price. $[3$ Marks$]$

c$)$ What is the resulting shareholding worth at the end of the ten$-$month period?

$[3$ Marks$]$

d$)$ Suppose that an investor spread the TZS $3,450,000$ investment evenly over the ten months in order to benefit from TZS cost averaging $($i$.$e$.,$ investing TZS

$345,000$ at the end of each month$).$ Establish how many shares were bought.

$[8$ Marks$]$

e$)$ What was the average price of the shares bought? $[3$ Marks$]$