You have $$15,000on$ your own, and your margin account with your broker has $an$

initial margin $of50\%$ and a maintenance margin $of30\%.$

Question $1$: Calculate your margin loan given the conditions $in$ the questions.

Question $2$: You want $to$ buy a stock currently selling $at$ $$30$ per share. Then how

many shares can you buy?

Question $3$: When the stock price rises $to$ $$40$ per share, calculate your return $by$ the

margin account.

Question $4$: When the stock price rises $to$ $$40$ per share, calculate your return

without margin loan.

Question $5$: Assume that you buy $800$ shares $of$ the stock, calculate the critical price

given the conditions $in$ the question.