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Questions tagged [vix]

The Chicago Board Options Exchange Market Volatility Index, a popular measure of the implied volatility of S&P 500 index options.

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What are common parametric forms for VIX smiles?

It is common in SPX markets to fit smiles using Stochastic volatility-inspired and Surface stochastic volatility-inspired parametric forms introduced by Gatheral and Jacquier (2014). In VIX markets ...
Mr Frog's user avatar
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What is the impact of the rollover of VIX futures contracts on VIX options?

I am inquiring about the potential impact of futures rollover on VIX options prices. I am currently exploring diagonal and calendar spreads on VIX options, and I need to modelize this. Your insights ...
Samuel Dana's user avatar
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Why do unleveraged VIX ETPs have large beta relative to VX futures, with much faster decay?

I hope the title explains it fairly adequately. To add a little more detail, it's my understanding that VIX ETPs such as VXX and VIXY hold VX Futures as their underlying assets. I believe that this is ...
barneypitt's user avatar
5 votes
2 answers
222 views

VIX future's lower and upper bounds

A Tale of Two Indices, by Carr and Wu (Jrl. of Derivatives, Spring 2006) As per the above paper of Carr and Wu (page 24 and 25), the price of a VIX future has for lower bound the fair strike of a ...
Wyngarden83's user avatar
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2 answers
161 views

implied volatility for close to expiry ATM options vs VIX

All throughout my MFE I was told that implied volatility for close to expiry ATM options is a reasonable estimate for current volatility and tracks realised vol pretty well. Then why does VIX measure ...
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How are VIX options priced in a mean-reverting framework?

If a trader assumes that the VIX follows a mean-reverting process like the Orstein-Uhlenbeck process, how would they price this non-martingale asset? My intuition tells me a trader would use doob-...
THATS MY QUANT MY QUANTITATIVE's user avatar
0 votes
1 answer
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Garch Model with Vix as external regressor un dummy rugarch r studio

I would like to try to replicate this variance dummied model in r studio, to try to compare garch vs i.v in forecasting vol: Data : S&P 500 log-return from 03.01.2020 to 31.12.2022 Ext regressor : ...
fabdellar's user avatar
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Pricing VIX derivatives using Monte Carlo

I am looking at pricing VIX options and futures using Monte Carlo simulation. Most papers recognise that VIX can be written in terms of the S&P500 index itself, namely as: $$ VIX_t = \sqrt{-\frac{...
Sinbad The Sailor's user avatar
3 votes
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Joint SPX and VIX calibration - volatility surfaces construction

I am currently researching the joint calibration problem of SPX options and VIX options. A question that comes to mind is the construction of each assets respective volatility surface. In the articles ...
Sinbad The Sailor's user avatar
1 vote
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How VIX ETF Rolls to follow the SP 500 VIX Index

I was reading the Methodology that S&P uses in order to construct VIX index VIX S&P Methodology If I understood it right, the VIX Short-Term Futures Index works as follows: Notice that both ...
david.t_92's user avatar
9 votes
1 answer
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The Holy Grail of Volatility Modelling: The SPX & VIX - Why?

I am currently researching a pre-print article by Julien Guyon & Jordan Lekeufack (2022): Volatility Is (Mostly) Path-Dependent. Their model is quite impressive in both its simplicity, as well as ...
Sinbad The Sailor's user avatar
1 vote
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VIX options: vertical mark price vs. term structure

Does anyone have any hypothesis why, for options on a future series, vertical spreads priced at half the strike difference should exhibit the same strike across all expirations, regardless of term ...
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Implied volatility for different expiration dates

So VIX provides implied volatility for a 30-day time horizon. I would imagine that when VIX "spikes", the implied volatility of longer dated options would exponentially decay, due to a mean ...
spacemonkey's user avatar
5 votes
2 answers
351 views

When calculating VIX, how to deal with the problem of asymmetry of put and call data?

I'm trying to calculate the VIX index according to the methodology of CBOE. I am looking at commodity options. I found that at some time, like at this minute, there are 13 call options out of the ...
Joker Chair's user avatar
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Forecasting VIX with GARCH(1,1)

Aim: Forecast VIX using GARCH(1,1) Reason: I want to be able to forecast VIX on several horizons, in order to be able to forecast the SP500 index through linear regression. Tools used: Python, ...
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Why do VIX spot and futures converge if there is no cash and carry arbitrage?

Since VIX spot is not tradable, why do the futures and spot converge @ expiration? By what mechanism does this occur if arbitrage is not one of them?
user61297's user avatar
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How to calculate the term structure of an index that doesn’t have futures

I would like to calculate the term structure of the VVIX index. Only way I have found so far is forecasting historical prices N months out. Any other idea?
edd's user avatar
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How To Construct A Volatility Spread Position?

Is there a simple way to spread the volatility of one product against another? By simple I mean one trade executed on each leg rather than constant delta hedging. I can see a lot of opportunity for ...
Tom's user avatar
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Derive the price of log contract

I am reading the Neuberger [1999] Log Contract paper and really confused on the log contract. So if the payoff is $\ln(S_T)$, then we can easily solve the price of such derivative: $$f_t^s = e^{-r(T-t)...
Gunner_ZZ's user avatar
2 votes
2 answers
2k views

Relationship between VIX and Vega

Assuming that all other factors (such as underlying price, strike price, etc.) remain unchanged, I want to see how a spike in VIX would affect the price of the average call option? Assume Vega is ...
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Does fear or greed drive option prices?

Frequently we hear that implied volatility being higher (as measured by VIX) indicates fear in the stock market. It is assumed that investors buy more puts for downside protection, driving put option ...
Snowball's user avatar
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Forward Index Level in VIX calculation

The VIX white paper (https://cdn.cboe.com/resources/vix/vixwhite.pdf) step #1 (page 6) says the the Forward Index Price is calculated as: F = Strike Price + e^RT x (Call Price - Put Price). Why doesn'...
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VIX options underlying: Can I safely use Put-Call parity instead of VIX futures

Couple of basic questions: 1- I'd like to calculate the implied of VIX options intraday, without access to intraday VIX futures. In the absence of VIX futures as underlyings, what would be the ...
annon's user avatar
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Understanding the BAML MOVE index

Hello quant community. I am looking for more information about a very interesting index: BAML-ICE MOVE index. There is very little literature online that details how the index levels are calculated ...
Simon Roberts's user avatar
4 votes
0 answers
351 views

How does VIX interpolate implied volatilities?

In the CBOE VIX white paper (direct link to PDF), it is explained that once the implied volatility of the near and next-term options $\sigma_1^2$, $\sigma_2^2$ are found, the constant-maturity 30-day ...
rubik's user avatar
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VIX ATM Options Delta

VIX ATM options seem to have delta that is very far from .5 (.18/.82 for 60dte now) with .5 being in 30 territory. Why is this very different from stock options? Why is atm put much less sensitive to ...
mikea's user avatar
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Estimating delta of VX futures to S&P 500

I'm trying to think about the right way to estimate the delta of a VX contract to the S&P 500. VX futures are on the VIX index, which is a basket of S&P 500 options. By extension, VX and ES (E-...
Évariste Galois's user avatar
1 vote
0 answers
106 views

Practical Effect of Time-Decay on Variance Swaps?

I want to implement a long vol hedging strategy by rolling spot variance swaps every month. This would be done through replicating spot VIX using the definition of VIX as a portfolio of OTM one-month ...
Clayton Estey's user avatar
2 votes
1 answer
407 views

Does shifting/scaling the IV surface relatively/absolutely introduce arbitrage?

I am fitting a volatility surface for vanilla call options. I do this by fitting low-degree polynomials (or cubic splines) along the strike dimension per maturity and then linearly interpolating ...
JMC's user avatar
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Black76: Pricing options on futures

I am trying to roughly approximate (not really price) options on VIX futures whereby the VIX future is estimated using their bounds. If the option is approximated using the Black model, how do you ...
deblue's user avatar
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1 vote
1 answer
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VIX vs historical volatility

I'm relatively new to this field and would like to ask a couple of questions. I'm doing some analysis and I would like to compare/plot VIX vs historical volatility of SPX. I have daily VIX and SPX ...
Rokas.ma's user avatar
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1 answer
633 views

Can we use a VIX-like method to calculate implied volatility for Black Scholes model?

So I understand that the VIX is an estimate of implied volatility. Volatility can also be calculated from the Black Scholes model. My question is can we use a VIX-like method to calculate implied ...
slingblade8129's user avatar
1 vote
1 answer
225 views

Why are model-free implied volatility indices (like VIX) only available for large indices and a few large stocks?

The CBOE VIX (i.e. model-free implied volatility) is only available for larger stock market indices and a few large stocks (see the CBOE website). As I am currently working on deriving VIX for a ...
Martin Georg Haas's user avatar
1 vote
0 answers
254 views

Interpretation of Volatility of Volatility (VVIX)

Recently I came across the VVIX index (also known as VIX of VIX), which represents the 30 day implied (expected) Volatility of the VIX Index. I studied CBOE's Whitepaper for the VIX, which explains ...
Sanoj's user avatar
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1 answer
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VIX vs S&P: Drift in the hedging residual?

I am looking at the daily returns of the VIX index (dVIX ) and the daily returns of the S&P 500 (dS). I am running a linear regression (using 0 intercept) and get a regression slope of -1.4, i.e. ...
Volwiz's user avatar
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4 votes
3 answers
625 views

Contango and backwardation in VIX futures

I understand the meanings of contango and backwardation, but I'm trying to better understand the theory behind what creates each. For future readers of this question, here are the examples from the ...
SuperCodeBrah's user avatar
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218 views

Historical VIX term structure data

I see that there is a CBOE page for collecting individual moments of term structure data, however, I'm wondering if anyone knows how to access historical data in bulk. Here's the CBOE page: http://...
SuperCodeBrah's user avatar
3 votes
1 answer
117 views

vix-like index for mid caps

Is there a vix-like index available for s&p 400 mid-cap instruments? i.e., implied vol based on s&p 400 put and call options? also, an iv for the s&p 600? thank you
user2457324's user avatar
2 votes
2 answers
240 views

How to predict realised variance?

I am trying to predict the realised daily close to close variance of an equity index. I checked the literature on volatility forecasting and tried a bunch of things on a dataset for the S&P 500....
Volwiz's user avatar
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1 answer
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backtest VIX term structure strategy [closed]

I'm trying to implement a few simple VIX strategies (1/0/-1-signals based on MA crossover, term structure, hvol vs ivol) in Python. I am new to quant and volatility, but looking at the VIX properties ...
Phi Al's user avatar
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2 votes
1 answer
1k views

VIX lagging or leading indicator

Could somebody help me understand if the VIX is a leading or lagging indicator. From the CBOE whitePaper ( https://www.cboe.com/micro/vix/vixwhite.pdf). I've understood that the VIX tries to ...
Jorisdrees's user avatar
1 vote
0 answers
169 views

VIX and Realised Volatility Scaling

I have calculated the VIX implied volatility according to the CBOE Whitepaper: \begin{equation*} \sigma^2 = \frac{2}{T} \left(\sum_i \frac{\Delta K_i}{K_i^2} Q(K_i) e^{rT} \right) - \frac{1}{T} \...
Martin Georg Haas's user avatar
2 votes
1 answer
916 views

Deriving the VIX formula

I am having trouble filling in a few steps in the derivation. From Martin (2017), we get the following assumptions: Constant continuously compounded rate $r$; The underlying doesn't pay dividens; ...
Stéphane's user avatar
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6 votes
1 answer
214 views

How are VIX futures being priced when the VIX itself is not being calculated because of circuit breakers

I see that CBOE has halted trading all SPX options, which means the VIX cannot be calculated. Yet VIX futures are still trading and we are very close to the last trade date for the March contract. I ...
Chechy Levas's user avatar
0 votes
2 answers
158 views

VIX OTM put options decrease value after sharp decrease of underlying

I was wondering about disentangling an effect I saw on the market yesterday. I saw nearly all OTM VIX put options with maturity date 15/04/2020 decrease in value while at the same time the VIX took a ...
blah_crusader's user avatar
1 vote
1 answer
236 views

What is a good way to think about and estimate VIX half life?

Would it make sense to run an AR(1) regression to estimate a beta and then estimate the half life as -ln(2)/beta?
roz's user avatar
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Risk-neutral Simple Return Moment Log-return Moment

I am trying to find a way to link Risk-neutral moment of simple return to risk-neutral moment of log-returns. Specifically, by making the same standard assumptions of the Black-Scholes model with the ...
Caidong's user avatar
2 votes
1 answer
254 views

Calculating front month VIX future returns

I'm currently reading a paper* which deals with seperating the volatility of volatility index (VVIX) into a physical measure of volatility of volatility (RVVIX) and a risk premium of v.o.v (VVRP). To ...
MikeHeimlich's user avatar
4 votes
2 answers
903 views

Correlation Gold and SPX in BBG

I was always under the impression that gold as a safe haven was more or less inversely correlated to the general market. After using the HRA function in Bloomberg I saw that the correlation is just -...
Jorisdrees's user avatar
1 vote
2 answers
215 views

Undergrad Thesis about the VIX

For week's I've been searching for an interesting undergrad Thesis in finance. I have some things in mind, but I don't want to leave outany opportunity for inspiration, so: Is there an interesting ...
MikeHeimlich's user avatar