Talk:Binomial options pricing model

message: It is possible to use various finite difference methods for both American and Bermudan options (It's an assignment to write such a program in my numerical methods class.).  While it is also true that the binomial tree model can accommodate discrete dividends, so can these finite difference methods.  Why do you think that binary trees are "more accuratte"?  Eweinber (talk) 14:53, 27 October 2010 (UTC)
replies: text: The increase in accuracy for the BOPM really only pertains in comparison to models that do not allow the placement of discrete dividends, such as the closed-form Black-Scholes model. I don't think there is a claim that the BOPM is inherently more accurate than finite differencing. In practice, I have found BOPM slightly easier to wrassle to the ground and cough up the correct answer in a reasonable time than other techniques. BTW, a "reasonable time" is measured in microseconds, if not nano-seconds, these days. Ronnotel (talk) 15:23, 27 October 2010 (UTC)
thread_title:  Model accuracy 

message: I reverted a change by 59.162.216.53 that claimed the binomial model is impractical. This is not true. By in large, the binomial model is used by practioners for a variety of reasons, mostly having to do with accuracy. As a developer of quantitative option pricing models, I have a fairly broad exposure to this issue and have yet to come across a serious option trader relying on the Black-Scholes model for actual trading. Ronnotel 13:25, 27 September 2006 (UTC)
replies: text: Agreed. Plus what else do you use for Bermudan options (other than simulations and Finite Difference methods of course... ☺) Fintor 15:31, 28 September 2006 (UTC)
thread_title:  Model practicality 

message: I believe most practical binomial models use discrete dividends rather than a continuous dividend yield. Using a continuous dividend yield can result in significant mis-pricing at or near dividend dates. Any objections to changing the formula to reflect this? Ronnotel 16:55, 28 November 2006 (UTC)
replies: text: Why not show both formulae - with commentary as to differences? Fintor 17:49, 28 November 2006 (UTC)
thread_title:  Discrete Dividends 

message: I was using this article as a guideline for constructing a simple binomial model for valuing a stock option and came across an interesting problem/issue/quirkiness/something.  I would get all my values do up the formula and I realized that when I changed the value for the volatility of the stock the end result did not change at all.  Not even by the lowliest of decimal points.  After reducing the formulae for the binomial value and the probability, p, I found out why.
The formula for the binomial value given in the ariticle is equivalent to Se^{-qt}
where:
S is the current price of the underlying
q is the dividend yield 
t is the time step
(I hope I've given the correct key, all the variables above correspond to those in the article).
Why then, would the formula and the model require so much information if you only really need these three things?  Is there a mistake somewhere in there maybe?
Or am I just making things up?
Douglas Robinson 18:28, 29 November 2006 (UTC)
replies: text: Doug, I'll take a look at the formula and see what can be done. In the mean time, check and see if you have access to a copy of Black-Scholes and Beyond by Neil Chriss or Option, Futures and Other Derivatives by John Hull. Both provide excellent, implementable algorithms. Ronnotel 18:50, 29 November 2006 (UTC)

text: Um, the probability of an up (and down) transition incorporates the volatility. Go back and check how you are calculating your transition probabilities. But you should still try to get ahold of one of both of these references. Ronnotel 18:54, 29 November 2006 (UTC)

text: Yep - only two cases when the model will indicate an early exercise for call: i) just prior to ex dividend date, and ii) if the short stock rebate rate suddenly goes negative (i.e. the stock becomes hard-to-borrow). In the absence of dividends, the binomial model collapses to the Black-Scholes model. Ronnotel (talk) 13:39, 23 September 2013 (UTC)
thread_title:  Issues with the formula 

message: In section Computer Implementations of this article there is a list of spreadsheets:
* Binomial Options Pricing Spreadsheet, Peter Ekman
*American Options - Binomial Method, global-derivatives.com
*European Options - Binomial Method, global-derivatives.com
1st: page doesn't work (some PHP Zend Optimizer problem).
2nd and 3rd: xls files don't work in MS Office 2007, because macros need that the cells are unlocked to work, but IDK the password to unlock them. Perhaps it works in older Excel versions - IDK this and i can't check.
Maybe this section should be revised?
--Loonatic (talk) 21:48, 18 December 2010 (UTC)
thread_title:  Dead links, not working resources 

message: I have no particular issue with discussing the recent paper proving no closed-form solution (CFS) in the article. However, in order to feature this result (should it hold up to scrutiny, no particular doubt that it won't) in very first paragraph would require some evidence that the world of quantitative finance has been searching for a closed-form solution to BOPM. I'm a practitioner in this exact field with too many years of experience to mention and I can't recall reading about anyone ever searching for such a thing. In my experience, it's always been assumed that one didn't exist although I suppose it's nice to know that no-one has wasted their time looking, I guess. Is there reliably sourced evidence of a search for a CFS to BOPM? Ronnotel (talk) 17:00, 2 March 2011 (UTC)
replies: text: I agree - how about the current text which reads: In general, binomial options pricing models do not have closed-form solutions., which is the essential result you describe and can now be asserted based on the proof, but without the clutter. Support for this statement can be given further down in the article with appropriate citations. Agreed? Ronnotel (talk) 18:48, 2 March 2011 (UTC)
thread_title:  closed-form solution 

message: Please remove the vanity reference to Georgiadis's paper in note 1. It is an uninteresting result that has no significance, since the limit of the binomial model is the Black-Scholes formula and there are no computational complexity problems at all. This reference to Georgiadis does not deserve to be there and will distract readers trying to learn something about the binomial model.
207.237.215.140 (talk) 13:31, 7 March 2011 (UTC)
replies: text: I apologize that the article is in semi-protection mode at the moment (it will remain so for another few days), otherwise you could do so yourself. The reason for the semi-protection is due to edit-warring and sock-puppetry about that exact reference. I agree that the result is probably not all that important. However, it seems like the basic result - trees are not solvable by closed-form solutions, is probably at least minimally relevant and useful. I'm going to decline to implement this particular request to avoid further edit warring. However, if you feel strongly, then by all means you can do this yourself by creating an account and becoming "autoconfirmed" by providing a working email address with your account. Semi-protection does not prevent autoconfirmed accounts from edit. Cheers. Ronnotel (talk) 16:15, 7 March 2011 (UTC)
thread_title:  Edit request from , 7 March 2011 

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thread_title:  External links modified 

message: Hopefully, someone will update this entry to illustrate practical examples of how to use the Binomial model.
For example, I want to price an equity option (American style) where the underlying pays a dividend. How do I use this model? Say the options expires in 9 months, and 2 dividends are due between today and expiration. Also, how does one determine how many steps to use? The more the better? The difference in a call's price between say using 10 steps and 100 steps is significant. 
Basically, in other words, how does a speculator use this model?  — Preceding unsigned comment added by Floyd2012 (talk • contribs) 23:02, 29 November 2020 (UTC)
thread_title:  Practical Use 

message: What does the term sigma do in the algorithm?
Simon de Danser (talk) 16:02, 9 March 2023 (UTC)
thread_title: americanPut