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5) Find the profit for each of the following positions in options if the price p

ID: 2646291 • Letter: 5

Question

5) Find the profit for each of the following positions in options if the price per share at expiration is $40. Note: all calls and puts are lots of 100 shares. Prices and premiums are per share.

5a

Long Put

$45

Strike Price

$2

premium paid

Profit

5b

Short Put

$38

Strike Price

$2

premium received

Profit

5c

Long Call

$39

Strike Price

$2

premium paid

Profit

5d

Short Call

$38

Strike Price

$2

premium paid

Profit

5a

Long Put

$45

Strike Price

$2

premium paid

Profit

5b

Short Put

$38

Strike Price

$2

premium received

Profit

5c

Long Call

$39

Strike Price

$2

premium paid

Profit

5d

Short Call

$38

Strike Price

$2

premium paid

Profit

Explanation / Answer

5a. Long Put :

Formula of Long Put = Max (0,K-S), where K= Strike Price, S = Price of Underlying Asset

Here Long put at $2 premium

So, Long Put profit = (45-40) = 5 - 2 Premium = $3 Profit

Total Long Put profit = $3*100 = $300

5b. Short Put :

In Short put case maximum put will be limited to premium received for selling put.

So, Premium received = $2

Total Profit = $2 * 100 = $200

5c. Long Call :

Formula of Long Call = Max (0, S - K), where K=Strike price, S = Price of Underlying Asset

Here Long call at $2 premium

Long Put profit = (40-39) = $1 - $2 Premium = ($1)

Total Loss = 100*$1 = $100

5d Short Call :

Profit is limited to the premium received for selling the call.

If the price of stock keeps rising above strike price,we are lossing money.

here strike price is below then stock price so loss of $2 plus $2 premium paid = $4 Loss amount

Total Loss = $4*100 = $400

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