Final answer:
The rate of return is 1665%.
Step-by-step explanation:
To calculate the rate of return, we need to first calculate the total cost of purchasing the shares, which is given by multiplying the number of shares by the purchase price:
Total cost = 15 shares * $30/share = $450
Next, we need to calculate the total revenue from selling the shares, which is given by multiplying the number of shares by the selling price:
Total revenue = 15 shares * $500/share = $7500
Now, we can calculate the net profit by subtracting the commission from the total revenue:
Net profit = Total revenue - Commission = $7500 - $6 = $7494
Finally, we can calculate the rate of return by dividing the net profit by the total cost and multiplying by 100:
Rate of return = (Net profit / Total cost) * 100 = ($7494 / $450) * 100 = 1665%