A measure of the variation in price over time. Also a measure of the risk of a financial instrument.

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203 views

What is the equation for Garman-Klass volatility?

I want to calculate realized/historical volatility for the underlying products of various options using the Garman-Klass estimator, but I can't see to find an equation, although I know it involves ...
2
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1answer
83 views

Asset volatility in Merton model

I am currently working on my thesis where I discuss the Merton default probability model. I have a huge sample of US firms for the period 1990-2010. I use both numerical and complex iterative approach ...
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1answer
110 views

Where can I find historical data for volatility estimation?

I'm trying to estimate volatility following Shreve book, so I need observations of $f(t_j,t_j+\tau_k)$ and $f(t_j+\delta,t_j+\tau_k)$, where $t_J<t_{J-1}<\dots<0$ and $\tau_k$ are relative ...
2
votes
1answer
168 views

Square-root-of-time and autocorrelation

My question is that when we have autocorrelation in daily volatilities can we scale daily volatility to annual basis using square-root-of-time rule? Does it breach the main assumption of the rule ...
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3answers
106 views

What does “true”volatility mean in volatility comparison?

In Sinclair's book, wee need to compare standard deviation with "true volatility" to check the power of the model suggested, close -to-cloce, or Parkinson formula, etc. What do we mean here by "true" ...
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61 views

calculation of parameters in Stochastic Volatility

I want to compare volatility models from constant volatility, implied, time-varying (ARCH, etc) and stochastic volatility. I can find the process to calculate constant, implied and ARCH and GARCH ...
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65 views

Stochastic Volatility for Stocks, FTSE

Can someone help me with calculating Stochastic Volatility (of stocks and options) using SAS or R or Matlab please? I am new to SAS and I am trying to use Heston model, White-Hull model or any other ...
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0answers
81 views

Adjusting for variance bias when using overlapping data

I'm in the process of constructing volatility cones for several assets and I want to make sure the data is free of biases. I know that using overlapping data introduces an artificial degree of ...
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49 views

What are the estimation methods for SV models?

I want to know about some methods like Methods-of-Moments, Quasi-Maximum Likelihood method, Baysian methods using Markov Chain Monte Carlo methods. Is there any reference to have an idea of these ...
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3answers
424 views

Volatility arbitrage - how is the profit extracted?

Is there any paper that describes in detail how the profit is extracted in directional volatility bet (vol arb)? I mean in the case that I bet the realized volatility will be lower than currently ...
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1answer
138 views

How would you correct a GARCH model to deal with non mean reverting volatility?

I am currently attempting to model and forecast volatility of bitcoin but have not been able to find a GARCH model that fits the data appropriately. I've used tick data sampled at 1 hour intervals ...
3
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1answer
141 views

Estimating Beta from unevenly spaced price history

I have a certain non-stock asset that has 1 transaction every 1 to 8 months. I also have a price index of that class of asset compiled by another party on monthly basis. If I regress $price = \alpha' ...
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93 views

Close price or adjclose price to calculate volatility?

To calculate volatility, which price in FTSE table is used? When do we use close price for calculating volatility? Do we use adjclose (adjusted close price) for calculating volatility as well? when ...
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3answers
168 views

Why are short expiries associated with more pronounced volatility skews?

I've noticed that for a given strike price, the shorter expiration dates of options have more pronounced volatilities why is that?
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27 views

Developing an Android App. Need free volatility data [duplicate]

I'm currently developing an android app that requires volatility data. Any idea where can I get it for free? I tried Yahoo Finance API and they don't seem to have volatility data. Thanks
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1answer
112 views

Price volatility and yield volatility

This question is a bit confused, but please bear with me. Now and then I see people use the terminology "price volatility" and "yield volatility" in connection with bond options. I understand the ...
2
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1answer
159 views

How to compare different volatility measures?

I read the Euan Sinclair's book (Volatility trading) in which he suggests different volatility estimators (Close-to-close, Parkinson, Garman-Klass, ...). I am inquiring about what is the best stock ...
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1answer
82 views

what is the vol in the BS formula?

I need to compute the delta of an option for which I know a) the time to maturity, b) the price of the option, c) the price of the underlying asset. what is the formula to get this delta It seems ...
2
votes
1answer
162 views

Value at Risk from Delta of a single asset portfolio

I am trying to figure out the following, for me unfamiliar type of question: Given is a single asset portfolio: the Delta of the portfolio is 15, the value of the asset is 10 and the daily volatility ...
2
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2answers
99 views

What impact does arbitrage have on realised volatility estimates?

Doing some research modeling/estimating volatility in the bitcoin market. There is quite a bit of scope for arbitrage within crypto-currency markets. Wonder if this has any impact on my volatility ...
2
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1answer
112 views

Is the volatility of a trader's wealth equal to the volatility of the underlying assets traded?

Assume that a trader trades in several stocks with different volatilities. The return of the trader's portfolio would be the weighted average of returns and the risk would be a function of the the ...
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2answers
429 views

Optimal lag length selection criterion in GARCH(p,q) model using MATLAB

As assessed by the title, I'm trying to estimate a GARCH(p,q) model to forecast stock market volatility and, in order to be able to do that, I've to identify the optimal number of lags, p and q, to ...
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1answer
170 views

Directional View of Volatility

What is an option strategy that someone could employ to simply go long/short volatility?? Assuming I want 0 delta(0 gamma if possible) risk in my option position, how do I take a directional view on ...
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1answer
129 views

Volatility calculation for intra-day cash-or-nothing call binary option

Firstly, I do not have a quant finance background. This is new to me, and I imagine that this is a basic question for this group. I am calculating the price of a binary/digital option with ...
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83 views

Volatility swaps historical data

I am preparing a study about Volatility and Variance Swaps. Does anyone know where I can found historical public data regarding this instruments? Thanks!
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1answer
105 views

Volatility tools / web sites?

Could someone give recommendations regarding volatility tools / web sites that they find useful? I am looking for information that my brokerage platform does not provide. Specifically, I want to see ...
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133 views

Monte Carlo American Option Pricing under GARCH(1,1) volatitliy

I am attempting to price a couple of at-the-money American option using the LSM algorithm and GARCH(1,1) volatility. The LSM code I have works correctly for constant volatility, however, when I switch ...
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245 views

Do intraday volume and volatility share the same properties?

volatility clustering and mean reversion are very well known properties that one could use when trading. Traders, especially in options world, do take realized vol into account (e.g. by forecasting it ...
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103 views

Fitting Egarch Model

I am performing a monte-carlo simulation in MATLAB for the first order EGARCH model in which case I am simulating 100 paths of size 500 assuming Gaussian and Student's-t distributions for the ...
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60 views

Volatility Minimum Analysis for Trading

I have been back testing some algorithms against a low volume highly volatile stock. I've found that during low volatile periods the technical indicators are following noise more than real trends. ...
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2answers
587 views

Delta Neutral / Gamma Neutral Positions

I've been trying to find out more about options positions which are both delta neutral and gamma neutral--created with some kind of calendar spread. Supposedly, such a trade will be perfectly hedged ...
5
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2answers
403 views

How to use a realized kernel?

I've read that realized kernels are the thing to use for calculating daily volatility from high-frequency data. So I've got minute data, how do I actually use such a kernel? Will it give me minute-ly ...
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80 views

How to calculate modeled asset volatility by industry factor?

Currently I am working with huge data frame which consists of a lot firms. For each firm in my sample I calculated asset volatility ( I am using Merton default probability model, so I have used 2 ...
3
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1answer
172 views

What return equation is Engle referring to in his Nobel lecture?

Engle comments in "Risk and Volatility: Econometric models and Financial Practice" that If the price of risk were constant over time, then rising conditional variances would translate linearly ...
9
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1answer
322 views

What are the major characteristics of natural gas volatility and options?

Seasonality is a big deal in the natural gas markets. My understanding is that they are broadly divided into summer and winter, with seasonality in both price and the volatility. What does this ...
3
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1answer
81 views

Time-Varying Volatility and Conditional Likelihood

Engle's comment in his seminal paper "Risk and Volatility: Econometric models and Financial Practice" mentions that I had recently worked extensively with the Kalman Filter and knew that a ...
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145 views

What's the link between EURIBOR3M futures volatility and rates volatility?

If I am not wrong, EURIBOR3M futures with maturity $T$, whose price is $F_{T}$, are quoted like contracts which express the underlying forward rates, $r_{T}$, as $$r_{T}=\frac{100-F_{T}}{100}$$ Now ...
2
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0answers
153 views

Does Bakshi, Kapadia and Madan (2003) VIX building approach underestimate volatility?

From a paper that shortly addresses an alternative approach to VIX-like index building: To test this approach, I've built a fake book of B&S options with constant volatility equal to ...
5
votes
1answer
107 views

Model calibration to illiquid assets when pricing options with long maturities

Let us assume one is interested in pricing an option with a very long maturity (up to 20 or 30 years) on a liquid underlying. The market won't have liquid quotes for the higher maturities. Still you ...
2
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0answers
79 views

Derivation of variance of Zhou (1996) volatility estimator

Does anyone know how to derive the Variance of Bin Zhou's volatility estimator (Theorem 1) in 'High-Frequency Data and Volatility in Foreign-Exchange Rates' (1996) Zhou 1996 Any help would be ...
7
votes
2answers
246 views

Extrapolating implied volatilities to small time

Could anyone please direct me to literature or methods for extrapolating the implied volatility surface towards small expiry? I'm looking to price very short time to expiry binary options (e.g. 5 ...
3
votes
1answer
164 views

Calibrating Hull-White using volatility data

I would like to calibrate Hull-White model using volatility data.I am using [Park (2004)] paper as a reference. He suggests to minimize the following objective function: where the first term is ...
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49 views

Realized volatility Create index from individual stock data?

I am about to estimate realized volatility on high frequent stocks. I am aware of the implications of the model (e.g. microstructure etc.) But what I dont know is how I can create an index to estimate ...
9
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1answer
335 views

Appropriate measure of Volatility for economic returns from an asset?

I am doing research on uncertainty analysis and risk assessment for oil field development. For doing economic forecast and valuation I use Real Options theory, which is almost similar to theory used ...
6
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1answer
466 views

What is the best method to compute project volatility in Real Option Valuation?

There are few methods like Copeland-Antikarov, Herath-Park, Cobb-Charnes etc. to compute project volatility, however these methods compute upward biased volatility. What is the best method I could ...
2
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0answers
117 views

Reasoning for Bloomberg's short rate volatilty calculation

Bloomberg, in its documentation, explains that it calculates the short rate volatility for its Hull White implementation by multiplying the e.g. 10y IRS rate (divided by 100) by the 10y cap vol. Why? ...
8
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2answers
483 views

Is the price of European put option monotone in volatility if we replace BM in Black-Scholes with a general Levy process?

Under the Black-Scholes model, we have the European put option is $\mathbb{E} [e^{-rt}(K-S_t)]$, where we take $\log(S_t)=X_t$ and $dX_t= \sigma dW_t - \dfrac{1}{2}\sigma^2 dt + rdt$. Here the option ...
3
votes
1answer
253 views

what's the relationship between forecasted stock volatility and implied volatility?(option)

what's the relationship between forecasted stock volatility and implied volatility? I know that implied volatility is the volatility calculated by BS formula, is there any relationship between implied ...
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75 views

Recalibrating SABR parameters for Swaption ATM volatility

I understand that the ATM volatility of Swaption moves quite frequently and the SABR will need to be recalibrated. Which parameter should I recalibrate? Is there any financial meanings why we only ...
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1answer
107 views

First Exit Time Based Volatility

I'm hoping that someone could help better explain why $\sigma$ (equation 2.19) must be multiplied by $\frac{4n}{4n + 1}$. Obviously all the math is there. Perhaps someone can make this easier to ...