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WAWTU31
 

Registered: Jun 2004
Posts: 131

 

11-30-05 10:06 PM

Can anyone shed any light on how I might begin to learn how to use this method of Financial Engineering.

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sabotage
 

Registered: Nov 2005
Posts: 18

 

11-30-05 10:32 PM

Monte Carlo simulation as a tool sounds more elaborate than what it really is. That is not to say that you cannot use it for elaborate analysis.

You need to determine what you need to figure out. For instance, what is the probability of a coin flipping head or tails. Create a process that acts like a coin: for instance a binary random variable in an excel sheet, that returns 0 or 1, with a 50% chance each. Generate the variable 10000 times and count how many times you get 1 and 0. You result will tend to 50%.

You can price an option using Monte Carlo simulation. This time, however, generate a Brownian motion price path with a given volatility. Run it many times and see what your option is worth on expiry and discount. The outcome should quickly converge to the Black and Scholes value.

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horribilicus
 

Registered: Dec 2004
Posts: 286

 

11-30-05 11:19 PM

Amazon dot com sells a book called "Monte Carlo methods in finance" and another one called "Monte Carlo simulation in finance." Maybe they might be of some benefit.

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science_trader
 

Registered: May 2004
Posts: 1612

 

11-30-05 11:39 PM


Quote from WAWTU31:

Can anyone shed any light on how I might begin to learn how to use this method of Financial Engineering.



It's not a method of financial engineering, it's a physics method. People in economics and finance haven't invented anything...

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Champion
 

Registered: Nov 2003
Posts: 534

 

11-30-05 11:47 PM


Quote from sabotage:

Monte Carlo simulation as a tool sounds more elaborate than what it really is. That is not to say that you cannot use it for elaborate analysis.

You need to determine what you need to figure out. For instance, what is the probability of a coin flipping head or tails. Create a process that acts like a coin: for instance a binary random variable in an excel sheet, that returns 0 or 1, with a 50% chance each. Generate the variable 10000 times and count how many times you get 1 and 0. You result will tend to 50%.

You can price an option using Monte Carlo simulation. This time, however, generate a Brownian motion price path with a given volatility. Run it many times and see what your option is worth on expiry and discount. The outcome should quickly converge to the Black and Scholes value.


In practical terms how you would apply the Monto Carlo simulation to the price path of index futures or an index such as the Dow? Cheers.

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science_trader
 

Registered: May 2004
Posts: 1612

 

11-30-05 11:52 PM

Pssst...don't tell anybody else, but there is an explicit formula for all the options you'll be able to trade as a retail trader....

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