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niki
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Joined: April 10th, 2003, 2:17 pm

trajectory with known ending point

August 31st, 2011, 6:10 pm

hello. i have a simulation question: how would you simulate the trajectories of an asset, for example SPX, where the start price is known, the ending price is known and the targeted volatility of the simulated trajectories is known as well. The thing is that all trajectories must finish at a specific pre-determined ending price.many thanks, niki
 
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bearish
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Joined: February 3rd, 2011, 2:19 pm

trajectory with known ending point

August 31st, 2011, 6:16 pm

If you think you are in a Black-Scholes like world you want the log of the asset price to follow a Brownian bridge.
 
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niki
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Joined: April 10th, 2003, 2:17 pm

trajectory with known ending point

September 1st, 2011, 6:21 am

works just fine! thank you very much!