SERVING THE QUANTITATIVE FINANCE COMMUNITY

mattsurw
Topic Author
Posts: 2
Joined: January 3rd, 2017, 3:34 pm

### Learn GMM

I have a good math/stats background, but whenever I try to pick up something on GMM (edit: Generalized Method of Moments) I get lost. Mostly, I struggle with the leaps in mathematical logic between steps in the original paper and others. Are there other subjects I can read up on to prepare for another stab at GMM? Or is there some literature that might offer a little more hand-holding?
Last edited by mattsurw on September 13th, 2017, 12:19 pm

list1
Posts: 1696
Joined: July 22nd, 2015, 2:12 pm

### Re: Learn GMM

mattsurw wrote:
I have a good math/stats background, but whenever I try to pick up something on GMM I get lost. Mostly, I struggle with the leaps in mathematical logic between steps in the original paper and others. Are there other subjects I can read up on to prepare for another stab at GMM? Or is there some literature that might offer a little more hand-holding?

What does it mean GMM? Is that S&P Emerging Markets ETF or for example General(ized) Method of Moments?

mattsurw
Topic Author
Posts: 2
Joined: January 3rd, 2017, 3:34 pm

### Re: Learn GMM

Sorry, I mean Generalized Method of Moments.

list1
Posts: 1696
Joined: July 22nd, 2015, 2:12 pm

### Re: Learn GMM

Having math - statistics edu it might be reasonable first to look at
https://en.wikipedia.org/wiki/Generaliz ... of_moments. Actually the basis of estimation parameters is its closeness to observed data.To refresh your knowledge you can look at some simple statistics handbook how one estimate mean and variance for different distributions say Poisson and Gaussian.
On the other hand you should be aware that financial observations are represented in the form  of  time series. As far as market changes in time daily observation could not be modeled as identical distribution independent random variable. Hence you should be quite critical with respect to what you will do. On the other hand it might be the best what could be done.Which method is better to estimate parameters sounds somewhat informal. If there is no similar statement in Statistics then the answer will be alway quite subjective. Hence it might be better to use two methods.
One of financial advances is also relates to volatility estimation phenomena. They have assumed that underlying of an option belong to the class of diffusion processes From real world observations they could find its volatility. Then they use option perfect BS model of option pricing to observed option prices and estimate volatility of underlying asset. And practice shows that volatility of Put and Call options on the same underlying asset are different an for the same maturity and volatility estimate is also different on the  options say Call with different maturity. It might be something wrong with parameters estimation too.