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Volatility surface PCA and SABR explanation gap

I am wondering how would the results of PCA on a volatility surface would be used differently than the SABR parameters. Given the first three components of a PCA are related to level, smile and skew, ...
sigma1988's user avatar
  • 139
1 vote
0 answers
617 views

Fitting volatility using SABR

I have been working on generating a volatility surface for options on SOFR futures with the help of the SABR model. I am running into some trouble for low strikes in particular, in that I cannot seem ...
Zac Likes Vol's user avatar
4 votes
2 answers
3k views

SABR model - beta

In the SABR model, the parameter beta largely controls the back-bond behaviour of the model. How do people estimate beta? One approach is to regress atm vol vs forward, i.e. $$\ln(\textrm{atm vol}) = \...
JohnRoper's user avatar
0 votes
1 answer
194 views

Why can't the curve find the least squares parameters when I used it in SABR model? (SABR Calibration)

Follow is the SABR function part of my code in python: ...
Hester S's user avatar
3 votes
1 answer
329 views

Calibration of a volatility smile model on a partial smile

I'm using a well-known SABR model in order to build an implied volatility surface of caps/floors on a very illiquid market which is entirely missing OTM quotes. What happens to SABR implied smile/...
Hasek's user avatar
  • 853
0 votes
1 answer
480 views

Should one calibrate SABR model on caps or caplets?

I want to build a volatility surface for caps on a 3M index implied from SABR model. I have a set of cap normal volatilities for a range of strikes (4%, 6%, 8%, 10% and ATM) and maturities (1, 2, 3, 4 ...
Hasek's user avatar
  • 853
1 vote
1 answer
1k views

How to build a volatility surface for caps from the SABR model?

My end goal is to build a volatility surface for caps. It's well known that SABR model has Hagan approximation formulas for log-normal and normal implied volatilities of options, e.g. caplets, ...
Hasek's user avatar
  • 853