
Explanation:
The initial cost of this trade (which is a "strap") = ($3.40*2) + $2.30 = $9.10. To achieve a 30%
ROI, we must have 30% = profit/$9.10, such that profit = $9.10*0.30 = $2.73. Therefore, the
payoff = $2.73 + 9.10 = $11.830; i.e., $11.830/$9.10 - 1 = 30.0%. On the downside, this is
reached at $25.00 - $11.83 = $13.70; on the upside, this is reached at $25.00 + $11.83/2 =
$30.92
Question 606.3
While the stock price is $25.00, a trader buys three at-the-money (ATM) options: two calls and one put. The each call costs $3.40 and the put costs $2.30. The trader defines return on investment (ROI) as profit divided by initial cost without regard to the time value of money. The trader is aiming for an ROI of 30.0%. At what stock price(s) is the trade's ROI equal to 30.0%?
A
$38.00
B
$19.23 or $36.51
C
$13.17 or $30.92
D
This trade cannot achieve an ROI of 30.0%