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Gamma hedging : example
Issued on December 24 2010 par Strategies-options.com

An example of gamma hedging.
I - Position

Imagine you shorted 100 calls struck at 100, 6 months, volatility at 30%, interest rate at 1%,
-100 calls 100/ 6 months


This is a very risky strategy. If the spot jumps up, there would be substancial losses.




II - Delta-hedging

It's possible to delta hedge the 100 short calls by bying 55 shares
-100 calls 100/ 6 months+55 shares


The P&L tends to be flat around the current spot where the delta hedge has been done.
By the strategy still exhibits some risks.



III - Delta-gamma-hedging

If one adds 300 1 year puts struck at 70, it leads to a gamma hedged portfolio.
It's now needed to delta hedge it.
By buying 80 shares, global delta is now neutral.
-100 calls 100/ 6 months+300 puts 70/1year + 80 shares


Next : Volatility Arbitrage
Previous: Gamma Hedging

Hedging : Principles
Delta Hedging Principles
Gamma Hedging Principles
Vega Hedging Principles

Hedging : A First Attempt
Delta Hedging : A First Attempt
Gamma Hedging : A First Attempt

Hedging
Delta Hedging



Related Pdf :

- Dynamic Hedging in a Volatile Market


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