Financial Information Management Gamma Hedging Wilhelm's Warriors No Hedgetation The Gobs of Money...

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Financial Information Management Gamma Hedging Wilhelm's Warriors No Hedgetation The Gobs of Money Machine The Ira Harris Experience

Transcript of Financial Information Management Gamma Hedging Wilhelm's Warriors No Hedgetation The Gobs of Money...

Page 1: Financial Information Management Gamma Hedging Wilhelm's Warriors No Hedgetation The Gobs of Money Machine The Ira Harris Experience.

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Gamma Hedging

Wilhelm's Warriors

No Hedgetation

The Gobs of Money Machine

The Ira Harris Experience

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Critical Thinking Good job overall Easy meter

Today office hours: 4-6

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The Hedge Tournament Questions?

Page 4: Financial Information Management Gamma Hedging Wilhelm's Warriors No Hedgetation The Gobs of Money Machine The Ira Harris Experience.

Price generationSP500

beta + noise

STOCKS Bids and

Asks

OPTIONSBids and

Asks

B.S.+ noise

real g,real volatility

real initial pricesreal beta,real volatility

NOT random!

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Confidential Peer EvaluationNAME: NAME: NAM

E:

OVERALL CONTRIBUTIONTO TEAM SUCCESS

TEAM WORK

QUALITY OF WORKAMOUNT OF WORK

KNOWLEDGEOF THE PROJECT AREAIDEAS CONTRIBUTED

TO THE PROJECTORGANIZATION OF TEAM

WORK (ADMIN.)

TEAM RAPPORT

LEADERSHIPENTHUSIASM,

ATTITUDE, INITIATIVERESPECT FOR OTHERS

DEPENDABILITY, GOOD TEAM PLAYER

MEETING ATTENDANCE, PUNCTUALITY

May affect your grade

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Gamma Delta (D) measures the change in portfolio value

as the underlier’s price S changes (~speed). Gamma (G) measures the rate of change in

portfolio value as S changes (~acceleration).

Page 9: Financial Information Management Gamma Hedging Wilhelm's Warriors No Hedgetation The Gobs of Money Machine The Ira Harris Experience.

Meaning of Gamma If Gamma is small (abs.), small changes in

S will not affect much Delta (and your portfolio value) ,sothere is less need to take immediate rebalancing action.

If Gamma is large, small changes in S will affect Delta (and your portfolio value) significantly, sothere is a stronger need to take immediate rebalancing action.

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Using Gamma During small periods of time t2-t1

D Portfolio = ½ * * G (S2-S1)2

Example:If you do not rebalance and the underlier price drops from $52 to $50, the change of value in a Delta-Neutral Portfolio is approximately

= ½ * * G (S2-S1)2

= 0.5 * (-10,000) * (52-50)2 = -$20,000

~

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How to Calculate Gamma Gamma = N’(d1)

S sÖ t N’(d1) = e –(d1)

2/2

Ö (2 p)

d1 as in Black Scholes

Strike Stock price S

Gamma

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Gamma-Neutral Portfolio More stable than a delta neutral-only. Cannot use the stock to reach Gamma neutrality

because the stock has Gamma = 0

1) Gportfolio <> 0 2) Gportfolio + Gx qtyx = 0

3) qtyx = -Gportfolio / Gx

Warning: Acquiring qtyx will disturb Delta neutrality. You will need to rebalance.

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Delta Gamma DeltaIt’s a strategy, not a sorority.1. Find out what to acquire to achieve

Delta neutrality.2. Find out what to acquire to achieve

Gamma neutrality.3. Find out what to acquire to re-achieve

Delta neutrality. Stock is ideal because it will not affect Gamma.

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More Dark Horses Simultaneous Delta Gamma Conditional Gamma

Extreme transaction costs minimization

Come and see me – not on the last day!

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Theta, Vega, and RhoConceptually similar to Delta Theta = change in portfolio value when

time changes Vega = change in portfolio value when

the volatility changes Rho = change in portfolio value when

the rate of interest changes

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In Technology?

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Your Opinion Matters Name A couple of things that you are learning

from the class Things that you like/that can be

improved Is the class getting you to think

on your own? Concerns about the HT