Answer:
Option (a) 20%
Explanation:
Data provided in the question:
Current price of the Mattco stock = $30 per share
Funds invested = $30,000
Maximum margin allowed = 50% = 0.5
Final price of the stock = $33 per share
Now,
Number of shares purchased = [tex]\frac{\text{Amount invested}}{\text{Maximum margin allowed X currentprice per share}}[/tex]
= [tex]\frac{30,000}{0.5\times30}[/tex]
= 2,000
Gain per share = Final price - Current price
= $33 - $30
= $3 per share
Thus,
total Gain = Gain per share × Number of shares purchased
= $3 × 2,000
= $6,000
Therefore,
Percentage of gain = [Total gain ÷ Amount invested ] × 100%
= [6,000 ÷ 30,000] × 100%
= 20%
Hence,
Option (a) 20%