You believe the price of freez frame company stock is going to fall, so you short $900$ shares at a price of $$45.$ The inital margin is $50$ 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 $ $40$ 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 by $2$ decimal places

b$-3$ What is your effective annual return $\%$ if you cover your short position at this price in five 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 $$50$ per share.

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 five 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