HIJ is currently selling for $$10$ per share. The security is eligible for $50\%$ margin. $1,000$

shares are bought with an initial deposit of $$8,000.$

a$.$ What is the initial value of the loan at the time HIJ is purchased?

b$.$ If the price of the stock goes down to $$6\mathrm{.}00,$ what will be the margin percentage in the

account?

c$.$ At what price will the investor receive a margin call?

d$.$ If the price falls to $$8\mathrm{.}50,$ what is the most the investor can withdraw from the account? If

they want to withdraw this amount, how many shares will they sell $($whole number of

shares only$)?$