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The volatility of the price of the underlying security that is implied by the market price of an option based on an option pricing model.

6 votes
1 answer
1k views

Procedure/methodology for building equity volatility surface

EDIT: I update while making progress: I am trying to build (model implied) volatility surfaces for individual equities. I will use these surfaces to calibrate models to price different derivatives (p …
raptor22's user avatar
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3 votes

Why is the SVI parameterization in terms of variance?

Let $\tilde{a} = at$ and $\tilde{b} = bt$ and you can jump from a parametrization to another. In Gatheral and Jacquier's paper (Arbitrage-free SVI volatility surfaces) https://arxiv.org/pdf/1204.0646. …
raptor22's user avatar
  • 628
4 votes

Using SVI model for IV surface

I use Gatheral's notations. The SVI-Jump-Wings (SVI-JW) parameterization of the implied variance v (rather than the implied total variance The raw and natural parametrizations describe the total …
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1 vote
0 answers
126 views

Procedure of model calibration

Say that your end goal is to price an equity exotic derivative under both Heston and the local volatility models (Black Scholes model with vola dependent on strike and underlying level). Do the follow …
raptor22's user avatar
  • 628
2 votes
1 answer
289 views

Arbitrage-free IV surface definition vs. real arbitrage process

In the context of BS implied volatility surface fitting. In the literature, it seems that conditions for arbitrage are defined in a way that assumes that options can be traded at the same price for …
raptor22's user avatar
  • 628
3 votes
0 answers
189 views

How to shock the IV surface w.r.t VIX and keep AOA

I have to compute the sensitivity of a set of option prices on a single sotck (range of tenor is over the whole surface) to an increase of 100% in the VIX.. and I am trying to get to the most reasonab …
raptor22's user avatar
  • 628