Question

In: Finance

Option Strike Price $ Call Option Price $ Put Option Price $ 45 10.00 1.00 50...

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.

Solutions

Expert Solution

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)

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