Enron Mail

From:zimin.lu@enron.com
To:john.griffith@enron.com
Subject:Re: Barrier opt
Cc:stinson.gibner@enron.com, john.arnold@enron.com
Bcc:stinson.gibner@enron.com, john.arnold@enron.com
Date:Tue, 17 Apr 2001 16:22:00 -0700 (PDT)



John,


For a down and out put, I put the following as an approximation for our understanding purpose.

a down and out put with barrier B < strike K
is overestimated by

A put at struck at K - a put struck at B - (K-B)*digital put strike at B.

I ploted the barrier put (blue line) versus the approximation (red line) as function of the
barrier.

The true barrier option has zero payoff whenever there is a touch down the barrier
during the lifetime of the option. Therefore it goes to zero much faster than
above approximation when B -< K.

See the spreadsheet for more details.

Zimin









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