You believe the price of Freeze Frame Company stock is going to fall, so you short $750$ shares at a price of $$67.$ The initial margin is $70$ percent. Ignore dividends.

a$.$ Construct the equity balance sheet for the original trade.

Note: Input all amounts as positive values.

b$-1.$ Construct equity balance sheets for a stock price of $$58$ per share.

Note: Input all amounts as positive values.

b$-2.$ What is your margin?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.

b$-3.$ What is your effective annual return if you cover your short position at this price in six months?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.

c$-1.$ Construct equity balance sheets for a stock price of $$72$ per share.

Note: Input all amounts as positive values.

c$-2.$ What is your margin?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.

c$-3.$ What is your effective annual return if you cover your short position at this price in six months?

Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.