SABR Model - part 1

  Рет қаралды 11,932

quantpie

quantpie

3 жыл бұрын

Part 1 of the SABR model, it covers the deterministic version of the model, which is essentially the CEV model, and then using perturbation methods (following Hagan et al.) derives the equivalent Black (or Black Scholes!) volatility so that the Black model reproduces the price of the CEV model. This is in many ways a 1 dimensional version of the famous SABR model, and hence serves as a gentle introduction to the SABR model.

Пікірлер: 24
@johnvanprague9540
@johnvanprague9540 3 жыл бұрын
Yeeaaasss!!! Finally! Thank you so very much for this video on SABR!!! :) Quantpie = Best online content for Quants. Period. (Including paid channels!)
@quantpie
@quantpie 3 жыл бұрын
Glad you enjoyed it! thank you! soz took a while!
@JaGWiREE
@JaGWiREE 3 жыл бұрын
Awesome upload. It's incredible to look back 2+ years ago and how far this channel (and my own learning) has come :). If there is anything I believe is true for myself, it is that this material needs time to really internalize and become visceral, it is not an overnight process or something for 1 semester (for brains my size anyway lol.)
@quantpie
@quantpie 3 жыл бұрын
thanks Brian! very well said, can't agree more!
@noebozinis5883
@noebozinis5883 3 жыл бұрын
Excellent video!! In my humble opinion, SABR model and its adjustments for low strikes and the fat tails at high strikes are extremely material tools/methods in pricing IR products. Thank you so much for this golden source!! Keep up the great job!
@quantpie
@quantpie 3 жыл бұрын
thank you! very true, it does get used!
@armandcharlesngabirano3795
@armandcharlesngabirano3795 3 жыл бұрын
Until the 17th we are together but after the Use of the diffusion equation İ kinda lost you... excellent job by the way it contributes a lot to my thesis.. can't wait for part 2
@quantpie
@quantpie 3 жыл бұрын
many thanks! Soz we assumed the diffusion solution is known because we covered these topics before, so went a bit fast there!
@WeiXing25
@WeiXing25 3 жыл бұрын
Thank you so much friend! I really appreciate your videos.
@WeiXing25
@WeiXing25 3 жыл бұрын
Can I offer to buy you a beer?
@quantpie
@quantpie 3 жыл бұрын
So nice of you! You are welcome! Sorry for the delay!!
@WeiXing25
@WeiXing25 3 жыл бұрын
@@quantpie Can't wait for Part 2 my friend!
@sylviazhang6786
@sylviazhang6786 3 жыл бұрын
thanks
@quantpie
@quantpie 3 жыл бұрын
you're welcome!!
@armandcharlesngabirano3795
@armandcharlesngabirano3795 3 жыл бұрын
I also have a question: while pricing options in the periods of low or negative rates what should be the appropriate model to use?
@quantpie
@quantpie 3 жыл бұрын
thanks! The Normal model or the shifted Black (and associated shifted SABR) works fine!
@sachinmittal5308
@sachinmittal5308 Жыл бұрын
Thanks for the awesome video, quantpie!! Is SABR solve all the problem of IR instruments pricing with volatility skews? It would be great if models to solve hybrid equity/ETF instrument pricing can be discussed as well.
@minhle9868
@minhle9868 3 жыл бұрын
Hi quantpie, this is fanstatic video thanks for sharing. I am a young quant working in the industry and there are many topics that I would love to learn about, your channel has been very helpful! Was wondering if you are aware of something called “multi-curve framework”? I think it’s everywhere in the banks now but we have never heard about that at uni. It would be great if we could have a few videos about the topic (only if you are familiar) Thanks much!
@quantpie
@quantpie 3 жыл бұрын
thank you! We shall get back to the interest rates playlist at some point. In the meantime, for multi-curve, here is very good and accessible paper: papers.ssrn.com/sol3/papers.cfm?abstract_id=2219548
@madhaviitb
@madhaviitb 3 жыл бұрын
Your videos are awesome. Which software u use for these videos ?
@chuckles8519
@chuckles8519 10 ай бұрын
Thanks for this video. Do you plan to do another one with the full derivation, i.e., not assuming deterministic volatility? If not, do you know of any good sources that work through the full derivation in detail?
@chuckles8519
@chuckles8519 10 ай бұрын
Never mind - just found part 2!
@WeiXing25
@WeiXing25 3 жыл бұрын
Hey buddy when can we see Part 2?
@quantpie
@quantpie 3 жыл бұрын
over the next week hopefully! We will try to provide an update on what we are up to here: www.getrevue.co/profile/quantpie/issues/quantpie-s-newsletter-issue-032021a-421700
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