In: Finance
On January 1, you sold short 100 shares of XYZ stock at $20
using a 50% initial margin. The interest rate on the margin account
is 10% annually. On April 1 (in three-months), you covered the
short sales by buying stock at a price of $15 per share. You paid
50 cents per share in commissions for each transaction. Assume you
received interest on all your assets, i.e. the sum of the short
sale proceeds and the margin.
1. What is the value of your assets and equity on April 1?
2. What is the total rate of return on equity?
He has 50% margin on 100 shares 20$ each, means 50% of 2000 i.e; 1000
He sold short 100 shares at 20$ means got credit of 2000
So total balance in his account is 3000...
His interest income at 10% pa for 3 months on 3000 would be 75$
Value of his asset=
a) Initial capital = $1000
b) His profit :
Sale of 100 shares @$20 = $2000
Purchase of shares @$15 = $150
Less: Total Commission = $100
= $400
c) Interest Income = $75
Total = $1000+$400+$75
= $1475
2) Return on equity
His totoa earning is $475 on the investment of 1000 in 3 months
So, the ROE will be
=$475*4
=$1900 on investment of 1000
So ROE = 190%