D$$e Trader opens a brokerage account and purchases $100$ shares of hInternet Dreams at $$52$ per share. She borrows $$2,800$ from her broker to help pay for the purchase. The interest rate on the loan is $7\%.$

Required:

a$.$ What is the margin in D$$e$$s account when she first purchases the stock?

b$.$ If the share price falls to $$42$ per share by the end of the year, what is the remaining margin in her account?

c$.$ If the maintenance margin requirement is $30\%,$ will she receive a margin call?

multiple choice

No

Yes

d$.$ What is the rate of return on her investment? $($Negative value should be indicated by a minus sign. Round your answer to $2$ decimal places.$)$