Answer:
First, let's calculate the total cost of buying the shares:
1000 shares * $15.23/share = $15,230
Next, we need to calculate the commission paid to the broker for buying the shares:
$15,230 * 0.0075 = $114.23
So, the total cost of buying the shares including the commission is:
$15,230 + $114.23 = $15,344.23
Now, let's calculate the total revenue from selling the shares:
1000 shares * $18.78/share = $18,780
We also need to calculate the commission paid to the broker for selling the shares:
$18,780 * 0.0075 = $140.85
So, the total revenue from selling the shares after the commission is:
$18,780 - $140.85 = $18,639.15
The total profit from buying and selling the shares is:
$18,639.15 - $15,344.23 = $3,294.92
The rate of return is the profit divided by the total cost, expressed as a percentage:
($3,294.92 / $15,344.23) * 100% = 21.5%
Therefore, Omar's rate of return is 21.5%.