Old Economy Traders opened an account to short-sell 1,000 shares
of Internet Dreams at $35 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 $35 to $41.50, and the
stock has paid a dividend of $4.40 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 %
Solution : |
Short Sell of Shares = 1000 @ $35 = $35000 |
Initial margin = 50% * 35000 = $17500 |
A year later price increases from 35 to 41.50, Loss to Old Economy Traders: 1000*(41.50-35)= $6500 |
Moreover, Old Economy Traders must pay the dividend of $4.40 per share to the lender of the shares = 1000 * 4.4 = 4400 |
a. Remaining margin = 17500 - 6500 - 4400= $6600 |
b-1. Margin on the short position =Equity / Value of shares owed |
b-1. Margin on the short position =6600/(1000*41.50)= 15.90% |
b-2. Yes. Maintenance margin fall below the margin requirement of 30%, Old Economy Traders will receive a margin call |
c. Rate of return on the investment = (Ending equity – Initial equity ) / Initial equity |
Rate of return on the investment = (6600 – 17500 ) / 17500= -62.29% |
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