Part $1$

Mr Moses buys $1$ share in a company for N$$500$ initially in $[$January$].$ The following Month $[$February$]$ the share price grows to $530$ and at the same time he receives a dividend of N$ $20$ from each share. In the same Month in February he also buys a second share for $530.$ In March, he receives a dividend of N$ $20$ for each of these $2$ shares and their price is then N$$540.$

$($a$)$ Tabulate the outlay to illustrate the investment $[8$ Marks$]$

$($b$)$ Find the internal rate of return $[9$ Marks$]$

Part $2$

Suppose that in February, Mr$.$ Moses bought $10$ shares instead of $1$ and thus the total shares were $11.$ Find the corresponding internal rate of return. $[10$ Marks$]$

Part $3$

In the Fourth Month, April, following Part $1,$ the shares price remained the same, received the same dividend on each as previous but bought one more share for N$ $500,$ illustrate the out lay and calculate the internal rate of return.