Suppose that you just purchased $150$ shares of Beta Banana$$s stock for $$50$ per share. The initial margin requirement is $60\mathrm{.}0\%,$ which means the amount borrowed is $$3,000.$ The corresponding balance sheet is below:

Assets Liabilities and Equity

Stock $ $7,500\mathrm{.}00$ Loan from broker $ $3,000\mathrm{.}00$

Equity $ $4,500\mathrm{.}00$

Total assets $ $7,500\mathrm{.}00$ Total liabilities and equity $ $7,500\mathrm{.}00$

Required:

a$.$ Now suppose the price of the stock falls to $$37$ per share. What is your current margin percentage? $($Round your answer to $2$ decimal places.$)$

b$.$ Construct the balance sheet to show the current situation.

c$.$ If the maintenance margin is $45\%,$ at what stock price would you get a margin call? $($Round your answer to $2$ decimal places.$)$