Answer :
The value of the account on April 1 is -$200
Proceeds obtained from the short sale:
Number of shares * Price per share = 200 * $23 = $4,600
Commissions paid during the short sale:
The commission per share * Number of shares: 0.5 * 200 = $100
Net proceeds from the short sale:
Proceeds – Commissions = 4,600 – 100 = $4,500
Total dividend paid:
Number of shares * Dividend per share: 200 * 3 = $600
Money paid in covering the short sale:
Number of shares * Price: 200 * $20 = $4,000
Commissions paid in covering the short sale:
The commission per share * Number of shares
0.5 * 200 = $100
Total money paid in covering the short sale:
Money paid in covering the short sale + Commissions paid in covering the short sale
Total money paid in covering the short sale: 4,000 + 100 = $4,100
Value of the account = Net proceeds from the short sale – Dividend paid – Money paid
$4,500 - $600 - $4,100 = -$200
Value of the account = -$200
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