Suppose that XTel currently is selling at $40 per share. You buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. a. What is the percentage increase in the net worth of your brokerage account if the price of XTel immediately changes to (a) $44; (b) $40; (c) $36

Question

Javier Barr

Business

15 September, 18:18

Suppose that XTel currently is selling at $40 per share. You buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. The rate on the margin loan is 8%. a. What is the percentage increase in the net worth of your brokerage account if the price of XTel immediately changes to (a) $44; (b) $40; (c) $36

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Jayce Madden · Answer 1

Initial net worth = $40 * 500 = $20000

a) Net worth of brokerage account = 44 * 500 = $22000

Percentage increase in the net worth of your brokerage account=[22000-20000]/20000 * 100 = 10%

b) Net worth of brokerage account = 40 * 500 = $20000

Percentage increase in the net worth of your brokerage account=[20000-20000]/20000 * 100 = 0%

c) If XTel's price changes to $36, the net worth of the brokerage account can be calculated as follows:

Net worth of brokerage account = 36 * 500 = $18,000.

Percentage decrease in the net worth of your brokerage account=[18000-20000]/20000 * 100 = - 10%