Questions tagged [delta-neutral]
The delta-neutral tag has no usage guidance.
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At what threshold on delta percentage should I hedge my option portfolio?
I am able to identify and build an option portfolio with long/short call/put options across different strikes and expiries such that the gamma is positive and cost is negative. Upon inception I hedge ...
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Delta neutral and directional change
I read everywhere that you create delta neutral positions to prevent being affected by directional change, and while I certainly agree for basic delta neutral options (a hedged vanilla for example), ...
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Delta-Gamma neutral vs Delta-Vega neutral
Imagine that the underlying stock price is 110. The call option has a strike price of 100. The annualized volatility is 25% and the interest rate is 10%. Finally, the time to maturity is 0.5 years. We ...
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What is the reason for adding 0.5 variance when calculating the ATM DNS of an option?
Why is an Option ATM DNS (Delta Neutral Straddle) strike calculated using exponential value of (rate + 0.5 variance) * t. For ATMF (At the money forward), the rate time is used as the value in ...
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Delta-hedging frequency directly affects PnL, and not just PnL smoothness and variance?
The information I have found about delta hedging frequency and (gamma) PnL on this site and numerous others all reiterate the same thing: that the frequency at which you delta-hedge only has an effect ...
user46424
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Option's Delta Investopedia Question
New to this. In this Investopedia article on Delta the following looks like a typo -
How Do Options Traders Use Delta?
Delta is used by options traders in several ways. First, it tells them their ...
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Confusion Regarding Dynamically Delta Hedging a Short Option
To my understanding, market makers (mm) in the options market dynamically delta-hedge their portfolios by buying/shorting the underlying, thus eliminating directional risk and profiting from providing ...
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Why does volatility increase the expense of delta-hedging?
Consider someone that writes a call, and wishes to delta-hedge against it to remain delta neutral. For this to be profitable, the price they sell this option for should be greater than or equal to the ...
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Gamma-neutral delta-neutral call ratio spread
I have been looking into options strategies that minimize risk via delta neutrality. One such strategy seems to be the gamma-neutral delta-neutral call ratio spread, in which the gamma is neutralized ...
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For what options does the "delta hedging rule" apply?
I'm reading Shreve's Stochastic Calculus for Finance, Volume II. In chapter 4, he derives the "delta hedging rule":
$$\Delta(t) = c_x(t, S(t)) \text{ for all } t \in [0, T)\text{.}\tag{1}$$
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About the implied volatility as average volatility over the life of an option
The first time I read about local volatility, implied volatility turned out to be the average volatility from today to the option's expiry date.
Let we have two Call options, $C_1$ and $C_2$, expiring ...
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Delta neutrality (derivation)
I'm confused about the math for the delta-neutral portfolio.
Assume we have a short position in a European call option with price $p(t,S_t)$ and want to hedge it with the stock with price $S_t$. The ...
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When you are delta-hedging by using shares, what is used? FIFO or LIFO? (Natenberg example)
When delta-hedging and using shares to do so, which "accounting" method should one use via their brokerage when they are executing the said delta-hedging adjustments? FIFO (first-in-first-...
user46424
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Is there any way to check my delta hedging is implemented correctly?
When implementing a Black-Scholes delta-neutral portfolio using Python to perform delta hedging, I am not sure whether I implemented it correctly or not.
Unlike coding binomial trees for European ...
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How can Delta Neutrality profit you?
To wit, why doesn't Delta Neutrality necessarily break even or lose money? I assume the semi-strong form of the EMH, defined in Zvi Bodie, Alex Kane, Alan J. Marcus. Investments (2018 11 edn). p 338.
...
user31928
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Making portfolio Delta and Gamma neutral using 2 derivatives
We have an option portfolio with delta =2 and gamma 3 and we want to making this portfolio delta and gamma neutral using two derivatives D1 and D2:
...
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FX option trading questions
Are all FX trades ( RR, BF, ATM)quoted in implied vol term delta neutral trades?
If trades are not delta neutral at the initiation does that mean it is speculative trading? Why/ why not?
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Delta neutral strategy using a combination of put and call options
I am learning about quantitative finance and currently learning about delta neutral strategies. The examples given are most of the times of the form: if you buy call options, you can hedge your ...
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Swaptions Gamma Interview Questions
A while ago, I interviewed for a trader role and was given the below assignment (I didn't get the job). I wanted to revisit the questions to learn from my mistakes and be better prepared next time. ...
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Risk management tools for long term Gamma/Vega sellers subject to margin calls
TL;DR: if you're a retail investor and you systematically sell long-term vertical spreads while staying Delta-neutral, your main risk comes from Vega and the Gamma of opening gaps that can throw you ...
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How does a Delta Hedged portfolio yield the Risk-free?
Here I'm considering the simple case of a dealer writing call options on a stock and hedging the short position with a "textbook" Delta Hedge, i.e. goes long on $N_c \times Delta$ stocks (where $N_c$ ...
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Calculate latest underlying price (or option), given new option (or underlying) market price?
Given a reference underlying price, reference option price, delta and gamma, if I receive a new underlying/option price what equation should I use to calculate the respective option/underlying price (...
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Gamma Imbalance / Exposure
I am currently writing my thesis about the lack of volatility / changing market structure we see nowadays on the financial market. I believe an important factor in this development is the delta-...
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Proof of gamma profit formula
http://www.volcube.com/resources/options-articles/gamma-hedging-trading-strategies-part-i/
I would like to have proven to me the above formula, mostly because I don't quite understand it. The formula ...
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Delta re-hedging with options
What are the pros and cons of delta re-hedging an option combination (straddle, strangle etc...) with options of the same underlying rather than with the underlying itself?
I am having a hard time ...
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Using malliavin derivative to find the worst Delta-positive hedge?
Background:
I've heard that Malliavin Calculus can be used to show the explicit form of a delta-neutral hedge (given an SDE driven market model). For example, here is a sketch here on page 21 on how ...
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Delta hedging of tax option
So corporate profits are taxed as a percentage of the positive earning, but losses will not generate any taxes. Hence taxation have a clear option structure where the government has a call option on ...
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How frequently do traders rebalance their gamma hedges?
Say, for instance, that you've set up a delta-neutral straddle (i.e. you are long volatility, short time decay) and want to dynamically hedge your gamma in order to offset losses due to theta. Is ...
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Example of optimal delta hedging in G. Barles, H.M. Soner option pricing paper
There is a paper Option pricing with transaction costs and a nonlinear black-scholes equation by Guy Barles and Halil Mete Soner. And there is a section about optimal (delta) hedging, which I do not ...
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Delta and gamma neutral
A financial institution currently has a portfolio with delta of 450 and gamma of
6,000. A traded option is available with a delta of 0.6 and a gamma of 1.5. How
could the portfolio be made both delta ...
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How to manage risk on a call calendar when underlying is falling
Let us say I bough a call calendar spread. Now, at expiry of the short option, the underlying has decreased significantly, and I am approaching my max loss(i.e both the options are close to 0).
In ...
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Delta-Gamma Neutral portfolio, derivation issue
Let $C$ be an option on an underlying $S$. I want to construct a portfolio $V$ using another asset $C_0$ such that the delta and the gamma of $V$ is the same as the delta/gamma of $C$, in order to ...
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Breakeven of a delta-hedged option
Basic question to which I surprisingly did not find an answer on here.
What's the best approximation to the break-even (with respect to stock price) for an option that was hedged fully at point of ...
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Discrete time Ho lee model
This is my first question in this forum. I am stuck with my current testing the Ho Lee model. I am having difficulty computing the perturbation factor $\Delta$.
The ho lee model should be completely ...
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Delta-Omega Hedging [closed]
I am currently trying to understand the in's and out's of options and more specifically hedging. I came across a document that was talking about Delta Hedging which is just making sure the delta of ...
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How should I estimate the implied volatility skew term when calculating the skew-adjusted delta?
I'm trying to come up with the implied volatility skew adjusted delta for SPY options. I'm working with the following formula:
Skew Adjusted Delta = Black Scholes Delta + Vega * Vol Skew Slope.
I ...
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Why are options trades supposed to be delta-neutral?
I'm reading Natenberg's book, and he says that all options trades should be delta neutral.
I understand that this prevents small changes in the underlying price from changing the price of the option, ...
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How do I calculate the delta of a convertible bond?
How can I find the delta of a convertible bond to be used for hedging?
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Where to find Greeks for futures to form delta-hedged futures portfolio of S&P 500 index/futures
I can't find S&P 500 index (SPX) futures data with Greeks to create delta-hedged portfolios. Do these data exist? I have access to most of the common data sources.
In the meantime, I am trying to ...
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Trading a synthetic replication of the VIX index
One cannot directly buy and sell the VIX index. Theoretically, however, one could approximate the index by purchasing an at-the-money straddle on the SP500, then delta-hedging the straddle.
Does ...
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