The delta and gamma of the portfolio held by an option dealer are + 178 and -322, respectively. The gamma of both calls and puts with strike price of $21 and with three months to maturity is 0.046. The current market price of the underlying non- dividend paying share is $25. The implied volatility of the share is 30% p.a. and three-month risk-free interest rate 3.83% p.a. What would be the most cost-efficient way to make the portfolio delta- gamma -neutral based on transactions on either of the options and the underlying shares?

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
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The delta and gamma of the portfolio held by an
option dealer are + 178 and -322, respectively. The
gamma of both calls and puts with strike price of
$21 and with three months to maturity is 0.046.
The current market price of the underlying non-
dividend paying share is $25. The implied volatility
of the share is 30% p.a. and three-month risk-free
interest rate 3.83% p.a. What would be the most
cost-efficient way to make the portfolio delta-
gamma -neutral based on transactions on either of
the options and the underlying shares?
Transcribed Image Text:The delta and gamma of the portfolio held by an option dealer are + 178 and -322, respectively. The gamma of both calls and puts with strike price of $21 and with three months to maturity is 0.046. The current market price of the underlying non- dividend paying share is $25. The implied volatility of the share is 30% p.a. and three-month risk-free interest rate 3.83% p.a. What would be the most cost-efficient way to make the portfolio delta- gamma -neutral based on transactions on either of the options and the underlying shares?
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