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EdisonCruise
Topic Author
Posts: 118
Joined: September 15th, 2012, 4:22 am

### Comparison between Heston models calibrated by historical time series and instant option prices.

Is it possible to make a volatility trading strategy like this: (1) Use SP500 historical time series to calibrate Heston model, then calculate the expected realized volatility v1 in the period T.(2) Use SP500 option prices to calibrate Heston model, then calculate the expected realized volatility v2 in the same period T.If v1<<v2, it means the market over estimates the future volatility. Then one can short the option, and delta-hedge it with v1 under the black-scholes framework. The expected profit should be the difference between option price with volatility v2 and option price with volatility v1.If v2<<v1, we can do this in an opposite direction.Is this a practical method?

Alan
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Joined: December 19th, 2001, 4:01 am
Location: California
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### Comparison between Heston models calibrated by historical time series and instant option prices.

Last edited by Alan on March 5th, 2015, 11:00 pm, edited 1 time in total.

EdisonCruise
Topic Author
Posts: 118
Joined: September 15th, 2012, 4:22 am

### Comparison between Heston models calibrated by historical time series and instant option prices.

Thank you Alan. Trading the difference between OTM option's vol and historical vol (caluclated by annualized standard deviation) is indeed on risk premium.Howevver, if one calibrate Heston model by historical data, then he should also be able to get a "vol surface" as the implied vol calibrated from market option data. For the option with the same strike and the same expiration date, no matter ATM or OTM, the volatiltiy must be different. This difference, if big enough, may indicate the option at that strike and expiration be overvalued or undervalued from historical point. This strategy is not simply trading the risk premiem, but the view of volatility at different aspect. It is applicable to ATM, OTM, ITM options. It seems this is not a common trading method, but what make people think it is impractical?
Last edited by EdisonCruise on March 9th, 2015, 11:00 pm, edited 1 time in total.

Alan
Posts: 10497
Joined: December 19th, 2001, 4:01 am
Location: California
Contact:

### Comparison between Heston models calibrated by historical time series and instant option prices.

Letting a model help you develop a valuation opinion is fine. You can test any proposed trading strategy on historical option data, monitor your trading results, and try to improve your models and strategies. I did this kind of thing for many years. You can bring as much "science" to the process as you want. I will simply point out some of the many, many issues: -model dependence and lack of realism in many models, -sensitivity to the historical data time period, -vol and equity risk premiums,-failure of historical data to be forward looking, in contrast to the market implied vols.-diversification, strategy issues, liquidity

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