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You believe the stock in Freeze Frame Co. is going to fall, so you short 900 sha

ID: 2728347 • Letter: Y

Question

You believe the stock in Freeze Frame Co. is going to fall, so you short 900 shares at a price of $45. The initial margin is 50 percent.

Construct the equity balance sheet for the original trade. (Input all amounts as positive values. Omit the "$" sign in your response.)

Liabilities and account equity

Construct an equity balance sheet for a stock price of $40 per share. (Input all amounts as positive values. Omit the "$" sign in your response.)

Liabilities and account equity

What is your margin? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

What is your effective annual return if you cover your short position at this price in 5 months? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Construct an equity balance sheet for a stock price of $50 per share.(Input all amounts as positive values. Omit the "$" sign in your response.)

Liabilities and account equity

What is your margin? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

What is your effective annual return if you cover your short position at this price in 5 months? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

1.

Construct the equity balance sheet for the original trade. (Input all amounts as positive values. Omit the "$" sign in your response.)

Explanation / Answer

Part 1a)

Proceed from sale = no. of stocks shorted x strike price

                                     = 900 x 45

                                     = 40,500

Initial margin deposit = proceed from sale x initial margin %

                                          = 40,500 x 50%

                                          = 20,250

Short position = no. of stocks shorted x current price

                                = 900 x 45

                                = 40,500

Account Equity = Initial margin deposit + proceed from sale – short position

                                = 20,250 + 40,500 – 40,500

                                = 20,250

Equity balance sheet

Assets

Liabilities and Account Equity

Proceeds from sale

40500

Short position

40500

Initial Margin deposit

20250

Account equity

20250

Total

60750

60750

Part 2a)

Proceed from sale = no. of stocks shorted x strike price

                                     = 900 x 45

                                     = 40,500

Initial margin deposit = proceed from sale x initial margin %

                                          = 40,500 x 50%

                                          = 20,250

Short position = no. of stocks shorted x current price

                                = 900 x 40

                                = 36,000

Account Equity = Initial margin deposit + proceed from sale – short position

                                = 20,250 + 40,500 – 36,000

                                = 24,750

Equity balance sheet

Assets

Liabilities and Account Equity

Proceeds from sale

40500

Short position

36000

Initial Margin deposit

20250

Account equity

24750

Total

60750

60750

Part 2b)

Margin % = Equity/ proceeds from sale

                    = 24,750 / 40,500

                    = 61.11%

Part 2C)

R = change in account Equity / Initial account equity

    = (24,750 -20,250) / 20,250

    = 22.22%

EAR = (1+R)^(12/n) -1

         = (1+0.2222)^(12/5) -1

         = 1.6187 -1

         = 61.87%

Assets

Liabilities and Account Equity

Proceeds from sale

40500

Short position

40500

Initial Margin deposit

20250

Account equity

20250

Total

60750

60750

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