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Questions tagged [vega]

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How to solve for K when setting the differential of a vega option with respect to K equal to 0?

The question is as follows: Let $v = S_0 \phi(d_1)\sqrt{T}$. Solve the following equation for $K$. $$ \frac{\partial v}{\partial K} = 0 $$ By finding $\frac{\partial v}{\partial d_1}$ and $\frac{\...
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Volatiliy in a at-the-time call option [duplicate]

I understand that the vega of the Black-Scholes equation is a positive function, which means the value of the option is an INCREASING function of the volatility, since vega is the derivative of the ...
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1answer
36 views

Iron condor with positive vega

I am backtesting this Iron Condor before earnings. In the position summary Vega (Mid Quote) is -3.04\$ but in the chart below (IV vs Profit $) it's clearly shown that a decrease in volatility will ...
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110 views

How accurate are Black-Scholes estimates of Vega, Volga, Vanna

Wikipedia provides analytical formulas for calculating Greeks. I can get Delta, Gamma, Theta all from Bloomberg. I need Vega, Volga, Vanna for my research. Should I use these analytical formulas for ...
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1answer
84 views

How is FX cross rates options are priced?

Say I have market for EUR/USD and also USD/CAD, how would EUR/CAD would be priced and hedged in practice? What are good papers/book chapters to read on that? (Assuming basic knowledge already on ...
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108 views

Usages of variance swap

I’m interested in variance swap. Considered from its feature, variance swap is used for betting the (historical) volatility of underlying asset. If we use it for hedge tool of Vega or Volga, does it ...
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2answers
173 views

Why do we need to calibrate vega?

I was going through some paid video on options. The tutor in the video asked the following question: Person $A$ has the following portfolio at the start of April Portfolio of options with vega $20,...
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2answers
87 views

How to calculate the multi-asset class portfolio vega?

I am viewing a risk report of a hedge fund and the portfolio vega seems to be a plain summation of the vegas of the different asset classes the fund invests in (i.e. Equity, Credit etc) As far as I ...
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Does it make sense to calculate an option price in future (at t+1)?

Often I ask myself whether it makes sense to calculate the price of a Call at t+1 supposing for example that underlying asset does no move i.e. $S_{t+1} = S_{t}$ ...
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79 views

Can the vega of ITM call-options be negative when the distribution of the underlyings returns is negatively skewed?

While calculating european call option prices, using the variance-gamma model formula provided by Madan, Carr & Chang (1998), I noticed that, holding all other things constant, the value of an ITM ...
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225 views

Derivation of the Pnl of a Delta Hedged Straddle and Risk Reversal

In the link below, in the text it states the following equations: Delta-hedged straddle P&L = Volatility Risk-premium ×| Straddle Vega | and Delta-hedged risk-reversal P&L: ...
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2answers
2k views

Gamma Pnl vs Vega Pnl

Why does Gamma Pnl have exposure to realised volatility, but Vega Pnl only has exposure to implied volatility? I am confused as to why gamma pnl is affected (more) by IV and why vega pnl isnt affected ...
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108 views

Higher Vega with ATM options when Spot is higher

Which would have larger vega, an ATM call option at spot 100 or an ATM call option at spot 200. Apparently the answer is the one with ATM at spot 200. I am not sure how you get this answer. Why ...
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147 views

What is the vega profile of an up-and-out call option? And why is this important in structuring?

I had this question during an interview but I can't seem to find the answer on the internet.
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0answers
334 views

Vega binary option VS Vega Call option

I don't understand why the vega of a call option is not 0 when ATM. Irrespective of the implied volatility the vega of a binary call option when at-the-money is always zero, since you have 50-50 ...
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1answer
180 views

Question about the vega of a stock

In Black-Scholes model with constant parameters, a call and a put with the same characteristics have the same vega: https://en.wikipedia.org/wiki/Black%E2%80%93Scholes_model#The_Greeks Using call-put ...
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1answer
79 views

Why do traders think about options in terms of volatility? [duplicate]

I hear that in practice, traders quote options prices in terms of volatility. What is this convention, and what is the motivation? How do they think about and manage vega risk?
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1answer
232 views

European option Vega with respect to expiry and implied volatility

I was told that the Vega of an European option always increases when its time to expiry increases (all else equal). I found this confusing and potentially wrong, but there doesn't seem to be relevant ...
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Spread in Option Quotes

Let's take a look at market-maker's option quote in vol terms: 8.5 / 9.5. In that example bid-ask spread equals 1.0 point of vol. Can anybody clarifying how market-maker choose amount of spread in ...
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1answer
254 views

construct an option portfolio on a single asset that is both Long Gamma and short vega

everyone, I have come across this question. How can we construct a portfolio that is both Long Gamma and short Vega and how do we actually hedge long Gamma/short vega position?
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1answer
2k views

Barrier option (autocallable) Vega profile

I have a question about the Vega profile(graph) on an autocallable option. Generally for a regular option, the vega graph looks like a normal (kinda normal) distribution with the vega highest at-the-...
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2answers
2k views

American Options relation between greeks

Considering an American option in a Black-Scholes model, is there a relation between Vega and Gamma as it holds in the European case? I am aware an exact relation would be difficult to find. But in ...
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0answers
239 views

Variance Swap Vega

I am currently reading the paper of Derman and al for my master thesis on Variance Swap. At one point one says that "The variance vega is largest when the option is ATM", considering here a call ...
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1answer
91 views

Should price impact be the same for positive/negative implied volatility shocks?

I am using a vendor system to stress a portfolio which contains (among others) derivatives with implied volatility exposure. The issue is that when using a 1000 bps implied volatility stress upwards ...
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1answer
302 views

Simulation of the Vega in Heston model (for Asian Option)

I'm new here and I hope you guys can help me. I want to calculate/simulate the Vega for my Asian option in the Heston model. The only source I found is the paper of Broadie/Kaya (2004) but they just ...
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1answer
472 views

Calculating option vega for vanilla call seems to be factor of 100 out

I'm using the following R code to calculate the vega on a vanilla option with the inputs S = 100, X = 100, t = 1, r = 0.005 and vol = 0.5 The vega calculated is around 39.85; I was expecting it to be ...
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1answer
188 views

Volatility products and constant vega

How are volatility products set up so that they have constant vega everywhere and what is the intrinsic difference between these products and vanilla options that determines the difference in vega?
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2answers
935 views

Vega and Gamma signs

Do vega and gamma always have the same sign (ie both positive or both negative)? Under what circumstances can they have opposite signs?
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2answers
613 views

Mathematical underpinnings of the square root of time rule

Often when I am reading about options pricing (and/or options greeks) the square root of time continually comes up. What the mathematical justification for why this keeps on turning up?
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2answers
3k views

Long/Short Vega and Option Positions

Why do you get long vega when you buy an option and short vega when you sell an option? I would have thought that for both buying and selling options the vega would change according to whether the ...
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2answers
112 views

If you try to capture short term delta by anticipating moves in the underlying, why would vega pnl be so bad?

Since calls and puts have opposite sign delta, but both are positive vega, it feels like a strategy that buys/sell or sells/buys calls and puts on underlying moves to capture delta should generally ...
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1answer
538 views

Understanding Vega calculation in black Scholes model

I am attempting to calculate the Greeks, and I understand their derivation. However when it comes to actually implementing Vega I am a little lost. Vega is defined analytically as: $$ SN'(d_1)\sqrt{T-...
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2answers
250 views

why Implied Vol (VIX) increase with decrease in Stock Price or vice versa?

why Implied Vol (VIX) increase with decrease in Stock Price or vice versa? whereas Vega is positively related with change in option price to change in stock price.
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1answer
4k views

Link between Vega and Gamma

"The vega is the integral of the gamma profits ( ie expected gamma rebalancing P/L) over the duration of the option at one volatility minus the same integral at a different volatility...Mathematically,...
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0answers
608 views

Greeks of a Basket Option

I want to estimate delta, vega and gamma for a basket option. This option is a European Call option. The underlying is $S=\omega_1 S_1 +\omega_2 S_2$ Where: $S1$ = stock price of asset 1 $S2$ = ...
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3answers
216 views

Is Complete Vega Elimination Possible?

I avoid short selling in my strategies. Losing more than invested is not attractive. But at times the implied volatility is too high, I am worried about buying at all and I am trying to filter the ...
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2answers
333 views

Vega in a “constant volatility” Black-Scholes world?

A little confused, I consulted the Wilmott forums for guidance on how I can interpret vega/vomma. Another user's post reminded me that the Black-Scholes model assumes that the underlying has constant ...
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1answer
239 views

Under what circumstances Veta is positive?

In general, as the option moves towards expiry, its vega is decreasing. Are there circumstances where the veta, i.e. the sensitivity of vega with respect to time, is positive, that is when vega is ...
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1answer
190 views

Why is Vega meaningful only for options which have single-signed gammas

I have been reading Wilmott Frequently Asked Question book and this was mentioned that Vega is not useful when measuring risk for options that have gammas changing signs such as Digital option or ...
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2answers
756 views

is there an analytical proof that vega-neutral also provides (gamma & theta) neutral?

I've read an answer here that say if your security has vega, then it has gamma and theta. is there an analytical proof that vega-neutral also provides (gamma & theta) neutral?
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2answers
2k views

Vega hedging with implied volatility smile

I have a problem with vega hedging. Consider the management of an exotic derivative, such as Barrier option. Typically we do the following tasks: selecting a pricing model, say, a local volatility ...
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1answer
426 views

Vega in Heston / Bates Model

Just a question regarding "convention": Is the Vega in Heston / Bates model the sensitivity with regards to $\sqrt v_0$ or a term of $\sqrt v_0$ and $\theta$ (Long term variance)? Regards
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91 views

Hedge volatility decreases

My particular options positions are typically a long delta, and long vega. Decreases in implied volatility, or specifically the VIX, can drastically alter the profitability of my position. Is there a ...
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1answer
101 views

Why vega increases further out in time

Why do back months options have a higher vega than front month options? If possible , kindly explain on an intuitive level without a lot of math.
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2answers
348 views

Does higher vega imply higher IV and vice versa

If an option A has higher vega than option B, does that also mean that A has a higher IV than B? I understand that by definition, a higher vega means that A's price is more sensitive to its IV than B. ...
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1answer
346 views

Can a long put trade be profitable through Vega even if the underlying moves upwards?

Generally speaking, I know when implied vol increases, option prices increase for calls. However, does the same occur for puts? If I am expecting implied volatility to increase for an option on an ...
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2answers
3k views

VIX = Vega of S&P500 options?

ok, so let assume I can predict the daily change in the VIX itself (in points) every day. what would be the best way to play this with OPTIONS? well, obviously VIX options, but if I can look at the ...