Question

Rachel sells 100 shares short at $43. The sale requires a margin deposit equal to 60 percent of the proceeds of the sale. If the investor closes the position at $49, what was the percentage earned or lost on the investment? If the position had been closed when the price of the stock was $27, what would have been the percent earned or lost on the position?

Answer 1

Answer:

23.25%; 62.01%

Explanation:

(a) Amount received:

= No. of shares × selling price

= 100 × $43

= $4,300

Sales deposit = 60% of Amount received

                        = 0.6 × $4,300

                        = $2,580

Amount paid = No. of shares × Purchase price

                      = 100 × $49

                      = $4,900

Therefore, Loss = $4,900 - $4,300

                           = $600

(b) If buys at $27, then

Amount paid = $27 × 100

                     = $2,700

Profit = $4,300 - $2,700

         = $1,600

Loss on investment:

= ($600 ÷ $2,580) × 100

= 23.25%

Profit on investment:

= ($1,600 ÷ $2,580) × 100

= 62.01%