You are interested to invest in the financial market. You set your Investment Policy Statement with your full$-$service broker, and decided to start as follows:

$1)$ If the initial margin is $50\%,$ and you are buying $200$ shares at $$30/$share$,$ how much money do you have to have to provide? Set your account balance sheet.

$2)$ If the price decreases to $$20,$ what is the margin now? $3)$ If you sell at a price of $$20$ one year from now and the margin interest rate was $10\%,$ what was your rate of return?

$4)$ The maintenance margin is $15\%.$ At what price would you have a margin call?

$5)$ If the initial margin is $50\%,$ and you are selling $200$ shares short at $$30/$share$,$ how much money do you have to provide and how much is in your account? Set your account balance sheet.

$6)$ If the price decreases to $$20,$ what is the margin now?

$7)$ If you close your account one year from now, buying at a price of $$20($assume that margin interest rate was $10\%$ on the initial value of shares borrowed, no interest

was earned on cash in your account your rate of return?

$8)$ The maintenance margin is $15\%.$ At what price would you have a margin call $($before interest and dividends$)?$