Old Economy Traders opened an account to short$-$sell $1,000$ shares of Internet Dreams at $$70$ per share. The initial margin requirement was $50\%.($The margin account pays no interest.$)$ A year later, the price of Internet Dreams has risen from $$70$ to $$82\mathrm{.}50,$ and the stock has paid a dividend of $$10\mathrm{.}00$ per share.

a$.$ What is the remaining margin in the account?

Remaining margin $ $=$

b$-1.$ What is the margin on the short position? $($Round your answer to $2$ decimal places.$)$

Short margin $\%=$

b$-2.$ If the maintenance margin requirement is $30\%,$ will Old Economy receive a margin call?

Yes

No

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

Rate of return $\%=$