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A stock is currently trading at €40. An investor holds the following portfolio, long 250 shares of stock; short 150 put options on the stock with an exercise price of €35; and long 150 calls on the stock with an exercise price of €45. The following information is available: Price, € 6.271 0.650 3.023 1.996 1.210 4.995 Instrument Call X = €35 Put X = €35 Call X = €40 Put X = €40 Call X = €45 Put X = €45 i. ii. Delta 0.723 -0.197 0.565 -0.435 0.297 -0.693 Gamma 0.048 0.048 0.057 0.057 0.049 0.049 Theta -4.522 -3.153 -5.912 -3.996 -5.493 -2.581 What is the delta, the gamma and the theta of the portfolio? The investor decides to make the portfolio both gamma neutral and delta neutral. How is this accomplished using the Call with an exercise price of €40? What is the cost of this rebalancing of the investor's position? iii. Using the information in the table above what is the delta and gamma of a protective put portfolio with an exercise price (X= €45)

A stock is currently trading at €40. An investor holds the following portfolio, long 250 shares of stock; short 150 put options on the stock with an exercise price of €35; and long 150 calls on the stock with an exercise price of €45. The following information is available: Price, € 6.271 0.650 3.023 1.996 1.210 4.995 Instrument Call X = €35 Put X = €35 Call X = €40 Put X = €40 Call X = €45 Put X = €45 i. ii. Delta 0.723 -0.197 0.565 -0.435 0.297 -0.693 Gamma 0.048 0.048 0.057 0.057 0.049 0.049 Theta -4.522 -3.153 -5.912 -3.996 -5.493 -2.581 What is the delta, the gamma and the theta of the portfolio? The investor decides to make the portfolio both gamma neutral and delta neutral. How is this accomplished using the Call with an exercise price of €40? What is the cost of this rebalancing of the investor's position? iii. Using the information in the table above what is the delta and gamma of a protective put portfolio with an exercise price (X= €45)

Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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A stock is currently trading at €40. An investor holds the following portfolio, long 250 shares of stock; short 150 put options on the stock with an exercise price of €35; and long 150 calls on the stock with an exercise price of €45. The following information is available: Price, € 6.271 0.650 3.023 1.996 1.210 4.995 i. Instrument Call X = €35 Put X = €35 Call X = €40 Put X = €40 Call X = €45 Put X = €45 ii. Delta 0.723 -0.197 0.565 -0.435 0.297 -0.693 Gamma 0.048 0.048 0.057 0.057 0.049 0.049 Theta -4.522 -3.153 -5.912 -3.996 -5.493 -2.581 What is the delta, the gamma and the theta of the portfolio? The investor decides to make the portfolio both gamma neutral and delta neutral. How is this accomplished using the Call with an exercise price of €40? What is the cost of this rebalancing of the investor's position? iii. Using the information in the table above what is the delta and gamma of a protective put portfolio with an exercise price (X = €45).
Transcribed Image Text:A stock is currently trading at €40. An investor holds the following portfolio, long 250 shares of stock; short 150 put options on the stock with an exercise price of €35; and long 150 calls on the stock with an exercise price of €45. The following information is available: Price, € 6.271 0.650 3.023 1.996 1.210 4.995 i. Instrument Call X = €35 Put X = €35 Call X = €40 Put X = €40 Call X = €45 Put X = €45 ii. Delta 0.723 -0.197 0.565 -0.435 0.297 -0.693 Gamma 0.048 0.048 0.057 0.057 0.049 0.049 Theta -4.522 -3.153 -5.912 -3.996 -5.493 -2.581 What is the delta, the gamma and the theta of the portfolio? The investor decides to make the portfolio both gamma neutral and delta neutral. How is this accomplished using the Call with an exercise price of €40? What is the cost of this rebalancing of the investor's position? iii. Using the information in the table above what is the delta and gamma of a protective put portfolio with an exercise price (X = €45).
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