In: Finance
Option Strike Price $ | Call Option Price $ | Put Option Price $ |
45 | 10.00 | 1.00 |
50 | 5.00 | 2.00 |
55 | 1.50 | 3.00 |
60 | 1.00 | 7.50 |
Using the quotes from the table above, an investor makes the following transactions:
(1) buys the stock at $55, and
(2) writes the December Call with a strike price of $55.
If the stock
is selling for $62 per share, when the options expire, the
profit from the trades is
closest to a:
.
Multiple Choice
$3.00 loss per share.
$1.50 loss per share.
$1.50 gain per share.
$5.50 gain per share.
$9.50 gain per share.
$12.50 gain per share.
Calculation of profit/loss from trade | ||||||||
a) | Buys the stock at $55 | |||||||
Current selling price= $62 | ||||||||
Profit from stock= $(62-55) | ||||||||
$7 | ||||||||
b) | writes a december call with strike price of $55 | |||||||
Here, he has sold the call option i.e. he will receive the premium amount and if the stock price goes above $55, call will be exercised against him and he will have to pay the difference | ||||||||
Therefore, | ||||||||
Payoff from call option= Strike price-current selling price of stock | ||||||||
$(55-62) | ||||||||
-$7.00 | ||||||||
Profit from call option= Payoff from option+Premium received | ||||||||
$(-7+1.50) | ||||||||
-$5.50 | ||||||||
* from the table we understood that with the strike price of $55, premium is $1.50 | ||||||||
Therefore, | ||||||||
Profit on trade= Profit from stock+ Profit from call option= $(7-5.5) | ||||||||
$1.50 | ||||||||
*since there is loss in profit from call, it is written in negative. | ||||||||
Answer: $1.50 gain per share (Option C) |