Question

In: Finance

Eight months ago, you sold short 1,000 shares of ABC Company at $30 per share. The...

Eight months ago, you sold short 1,000 shares of ABC Company at $30 per share. The initial margin requirement is 50% and maintenance margin is 30%. Ignoring borrowing cost of the shares,

  1. a) calculate the price level that you receive margin call.

  2. b) calculate the (i) holding period percentage return and (ii) annual percentage return (APR) of your margin position if you close the margin position at $28 today, immediately after dividend of $1 per share was paid by the Company.

Solutions

Expert Solution

SHORT 1000 SHARES
X Y=1000*X A B=A*1000 D E=Y*30%
Trade Price per Share Settle Price per share Account Value Gain/(Loss) per share Total Gain/(Loss) Margin Balance Maintenance Margin
$30.00 $30,000 $15,000 $9,000
$34.70 $34,700 ($4.70) ($4,700) $10,300 $10,410
$28.00 $28,000 $2.00 $2,000 $17,000 $8,400
a) Price of $ 34.70 will trigger margin Call
b) HOLDING PERIOD RETURN
Initial Investment $15,000
Total Dividend=$1*1000 $1,000
Net Gain =$2000-$1000= $1,000
Holding Period Return =1000/15000= 6.67%
Annual Percentage Return =6.67*(12/8)= 10.00%

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