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A put \"spread\" is the simultaneous purchase of 1 put with an exercise price of

ID: 2735244 • Letter: A

Question

A put "spread" is the simultaneous purchase of 1 put with an exercise price of $40, writing of 2 puts with an exercise price of $50, and purchase of 1 put with an exercise price of $60. All puts have the same maturity, and are on the same stock. What would be the payoff from this "spread", if the stock price is $39 at maturity? What would be the payoff from this "spread", if the stock price is $50 at maturity? What would be the payoff from this "spread", if the stock price is $61 at maturity? Graph the payoff structure of this "spread". What kind of probabilities does the creator of this "spread" have in his or her mind?

Explanation / Answer

Stock price 39

E.P 40

E.P 50

E.P 60

Net payoff

Brought put

1

21

write put

-22

(11*2)

Total

1

-22

21

0

Stock price 50

E.P 40

E.P 50

E.P 60

Net payoff

Brought put

lapses

10

write put

lapses

Total

lapses

lapses

10

10

                       

Stock price 61

E.P 40

E.P 50

E.P 60

Net payoff

Brought put

lapses

lapses

write put

lapses

Total

lapses

lapses

lapses

0

Stock price 39

E.P 40

E.P 50

E.P 60

Net payoff

Brought put

1

21

write put

-22

(11*2)

Total

1

-22

21

0

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