Donald opened an account to short-sell 2,700 shares of XYZ at
$75 per share. The initial margin requirement was 50%. (The margin
account pays no interest.) A year later, the price of XYZ has risen
from $75 to $85, and the stock has paid a dividend of $1.50 per
share.
a. What is the remaining margin in the account?
(Round your answer to the nearest whole
dollar.)
b. If the maintenance margin requirement is 30%,
will Donald receive a margin call?
No
Yes
c. What is the rate of return on the investment?
(Round your answer to 2 decimal places. Negative value
should be indicated by a minus sign.)
SOLUTION
1. Donald sell 2,700 shares of $75. Its account will be credited with (2,700*$75) 202,500 and it also have amrgin requirement of 50% which is (202,500*50%) = 101,250
Initial assets in its account = 202,500 + 101,250 = 303,750
Share price rose to $85 and it should also pay back dividend of $1.50 per share.
Total liability = (2,700*$85) + (2,700*$1.50) = 229,500 + 4,050 = 233,550
Remaining margin = 303,750 - 233,550 = 70,200
2a. Margin ratio = 70,200 / 229,500 = 31%
2b. Margin ratio is more than required margin of 30%, so it will not receive call.
3. Rate of return = (Return - Initial own investment) / Initial own investment
= (70,200-101,250) / 101,250 = -31%
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