Question

In: Finance

Draw the payoff picture for a short position in the call option given in the following...

Draw the payoff picture for a short position in the call option given in the following problem: Draw the payoff picture at expiration for a long position in a call option that has a premium of $1.75 and a strike price of $40.

Solutions

Expert Solution

It's hillarious. One part of the question wants payoff picture for a short position, while the other part wants that for a long position.

Draw the payoff picture for a short position in the call option given in the following problem: Draw the payoff picture at expiration for a long position in a call option that has a premium of $1.75 and a strike price of $40.

What's going on?

I have therefore made the payoff picture for both the long position and the short position separately. Please pick up one as per your requirement.

Long Position:

Payoff from long position in the call option = max (S - K, 0) - C = max (S - 40, 0) - 1.75

Payoff table:

Stock price, S Payoff
0 -1.75
10 -1.75
20 -1.75
30 -1.75
40 -1.75
50 8.25
60 18.25
70 28.25
80 38.25
90 48.25
100 58.25
110 68.25
120 78.25
130 88.25
140 98.25
150 108.25

And the payoff picture:

Short Position:

Payoff from short position in the call option = C - max (S - K, 0) = 1.75 - max (S - 40, 0)

Payoff table:

Stock price, S Payoff
0 1.75
10 1.75
20 1.75
30 1.75
40 1.75
50 -8.25
60 -18.25
70 -28.25
80 -38.25
90 -48.25
100 -58.25
110 -68.25
120 -78.25
130 -88.25
140 -98.25
150 -108.25

and the payoff picture is:


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