Questions tagged [delta-hedging]

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1answer
226 views

Traders view on hedging of FX Futures with FX Forward

I would like to get a trades view on hedging a FX Forward with a FX Future by just moving the (1) FX_Spot rate and ignore the other risk factors (2) ccy1 DV01 risk, (3) ccy2 DV01 risk, (4) basis swap ...
2
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1answer
79 views

Delta-hedging non-volatile stock

If a stock has zero vol and some positive drift $\alpha$ (in a BS-setting) and we delta hedge a long call option dynamically over a year with some positive implied volatility.... how would that work ...
2
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1answer
308 views

Pricing and Hedging an Option through a Currency Triangle

How is the option price of an plain vanilla option (in a Black Scholes setting) derived, which is written on, say XAGGBP but practically hedged with XAGUSD and GBPUSD (because these are more liquid)? ...
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0answers
42 views

Confused by Solution to the Expected Profit when Hedging an option using Implied Volatility (from Wilmott 2006)

Paul Wilmott on Quantitative Finance 2nd Ed (section 12.5.1) gives a solution to the initial expected profit when hedging using delta based on implied volatility as $$\frac{1}{2}(σ^2 - σ̃^2) \,\int_{...
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0answers
58 views

Effect of mean reverting Volatality in Black and Scholes? [closed]

Can someone please elaborate what would be the effect of a mean reverting volatility (instead of a constant volatility) in pricing options using BS ? Also how would the greeks vary?
2
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0answers
64 views

Computing Malliavin Derivative for European Call Payoff

Let $X_t$ be a continuous local-martingale modeling the stock price given by $$ X_t = \int_0^t \sigma_t(T,K)dW_t , $$ and $\sigma_t(T,K)$ is an $L^2$-measurable process not adapted to $W_t$'s ...
2
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0answers
46 views

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 (...
2
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0answers
608 views

Delta hedging vs Strangle

Long volatility delta hedging and strangle are common long volatility strategies. We can make strangle delta neutral(in $) by buying more puts than calls(if an absolute value of put delta is less than ...
2
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0answers
55 views

Reference for delta hedging programmatically

I learned some of the basic theory of Bjork (chap 1-9) and would now like to study some (discrete delta) hedging using programming software. We had an exercise in school where we hedged a call ...
2
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0answers
354 views

Zakamouline Optimal Hedging of Options with Transaction Costs

I've read that the Zakamouline method suggests the best optimal hedging of options when taking transaction costs into account. I've read the article but am having difficulty understanding it well ...
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3answers
247 views

Options Delta Meaning of Term [closed]

not able to understand delta in options. Whilst I understand, it is how much the option moves when the underlying moves by 1 unit, I fail to understand, when someone books a currency option, why does ...
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2answers
352 views

why gamma decreases when option is deep in the money? [closed]

Gamma decreases when a call option goes either deeper in, or deeper out of the money. That is due the demand for the call option. I can imagine the demand for the option would decrease as it goes ...
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3answers
128 views

Delta hedging pnl to recover option price

In Black Scholes framework, assuming zero interest rates and realized volatility to be same as implied volatility, gamma pnl is exactly same and opposite of theta pnl. So if I buy an option and delta ...
1
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1answer
223 views

Deriving Delta Hedge error in the B-S setup (part 2)

In this paper paper page 16-19 by Davis and this discussion derivation of the hedging error in a black scholes setup, the derivation of the delta hedging error in the Black Scholes model is discussed. ...
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1answer
522 views

Example of delta one products

Not sure if this is the right place to ask such question. How close to 1 should the delta be in order for the product to be classified as delta one. 2.What examples of delta one products are there?
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1answer
248 views

In a Monte Carlo simulation, will a delta hedge control variate necessarily reduce the standard error more than an antithetic variate?

I have four Monte Carlo simulations and will list them in order of highest standard error to lowest. Plain MC MC with delta hedge control variate MC with antithetic variate MC with antithetic and ...
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2answers
287 views

changes in open interest vs changes in underlying volume

Has a relationship been noted? Mostly, I'd like to know if the open interest increases on an underlying, does the underlying usually see increased trading? My guess would be "yes" since MMs can ...
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3answers
225 views

Heging against stochastic interest rate

I am working on an Index and I am trying to price Call options on it. I work with the 3 Months LIBOR as Cash. I use the following Black-Scholes formula $$C_{t} = S_{t}e^{-q_{t}(T-t)}\mbox{N}[d_{1}(t)]...
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3answers
88 views

Computation of limit

In Delta of binary option, I do not see how to prove that the limit of $\partial C_t/\partial S_t$ is equal to $+\infty$ as $t \rightarrow T$. Can someone help ?
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2answers
748 views

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 ...
1
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1answer
95 views

Why does it make sense to delta hedge a deep OTM option given the very low delta exposure? [closed]

I am not sure if this is actually done in practice as I'm not a derivatives trader, but I can only think of reducing the cost of the OTM option as a reason for delta hedging a deep OTM option, which ...
1
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1answer
184 views

Delta hedging/Gamma PnL

Suppose I am long USDIDR straddle with my start of the day delta being USD10m long IDR and USDIDR gamma being $5m. There is a 1% intra-day IDR strengthening, so my delta becomes roughly long IDR 15m....
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1answer
144 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 ...
1
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1answer
155 views

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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1answer
170 views

Delta Hedge, does large stock move produce a loss?

I dont understand how MM protect themselves from large moves in underlying while being delta hedged. Example: MM sels 1 ATM put and sells 100stock (delta = 1) as a hedge. Now what will happen if next ...
1
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1answer
193 views

Delta Hedging for 2 Factor Models

If the value of an option at Maturity is what is the off-setting position you take for X and Y, if you are i)Long Call of the option ii)Short Call of the option iii)Long Put of the option iv)Short ...
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5answers
720 views

delta hedging strategy for OTM option

Wondering how you would think about the following thought experiment - suppose you sell an OTM call option and plan to implement a delta hedging strategy whereby if the price of the stock were to ...
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1answer
259 views

Delta hedging cost of exotic options?

I'm simulating dynamic delta hedging for up-and-out call option. For plain vanilla call options, I heard that the option price is the expected value of the accumulated delta hedging cost. Does it also ...
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1answer
217 views

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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2answers
550 views

Numerical delta of Bond Options

I'm trying to calculate the delta for bond Call options. I'm using the vasicek model which gives the following solution for a Zero-coupon bond call option: $Z = N P(t,S) \Phi(d_1) - K P(t,T) \Phi(d_2)...
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1answer
2k views

Under what circumstances would one want to delta hedge a straddle

Under what circumstances would one want to delta hedge a straddle option? This link explains: ...
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0answers
39 views

Simple 3 way delta hedge

Consider 3 futures contracts: A BTC/ETH, settled in BTC B USD/ETH, settled in ETH C USD/BTC, settled in BTC As the markets aren't efficient, sometimes these ...
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0answers
36 views

Optimal Hedging of Options - asymmetry between long and short vol positions

Going over Zakamouline's Approximation method for optimal delta hedging of options, it is claimed that the result remains valid for both buying options (long vol positions) or selling options (short ...
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0answers
38 views

Gamma PnL Formula and Break-Even volatility

When we derive the P&L of a delta hedged option we obtain: $$ \text{P&L}=\dfrac{1}{2}\Gamma(\delta S)^{2}-\theta\delta t $$ and setting equal to zero and rearranging we obtain: $$ \dfrac{1}{...
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0answers
53 views

Variance swap = delta hedged strip of options

Is there a paper that explicitly shows/demonstrates that a variance swap can be replicated by delta-hedging a strip of options? Thus far I have not found anything: papers mention it in passing ...
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0answers
50 views

FX Spot Delta market standard calculation (Trader View)

I am just writing my thesis about FX instrument and hedging and one question popped up which I can't solve. Maybe it is silly but cant find anything about it how the delta of a fx spot is defined and ...
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0answers
46 views

Books and techniques to hedge options that expire tomorrow?

Can anyone point me to books or resources that talk about best techniques to hedge ATM or close to ATM options that expire tomorrow. I am particularly interested on how to hedge if you are short the ...
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0answers
64 views

transactions costs and leland modified volatility

When there are transactions costs, we are in a situation of incomplete market. What does the modified volatility of Leland (Option Pricing and Replication with Transactions Costs, 1985) bring us? can ...
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0answers
46 views

How should one hedge option positions on the date of expiry?

Let's say we are looking at a non-liquid equity ticker and a slightly OOM option on it. The problem is that if we buy delta to hedge it, it could move the underlying market and push the option to be ...
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0answers
131 views

Implied volatility as break-even delta hedge volatility

There have been some posts on this topic, but not what I am looking for, so a new post on an old topic.. I think some/most of us here are familiar with the following formula expressing implied ...
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0answers
72 views

Break-even volatility for delta hedge portfolio

After simulating practical and theoretical PnL of a delta hedged portfolio on some data from the SPX500 under 0.15 management Vol I want to find the Vol which gives me an accumulated PnL of 0. ...
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0answers
42 views

Correct beta weighted delta options formula?

Is this the correct formula for beta weighted delta: http://www.nishatrades.com/blog/beta-weighted-delta I've seen this What is the formula for beta weighted delta and gamma? but they seem to be ...
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0answers
114 views

Can prediction of realized volatility for next day improve delta hedging (gamma scalping)?

Im quite confused. As I understand from standard delta PNL of option + underlying position, pnl is equals to difference between realized and implied vol weighted by gamma. However, as I understood, ...
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0answers
79 views

Delta hedge a long option using a short option [closed]

If I long a call option of 1 mio USD/SGD for example, I understand that at strike price (ATM), delta is approximately +0.5. To approximately hedge this delta, I also understand we can short 0.5 mio ...
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0answers
1k views

Short Call Hedge. Options and gamma trading

Let’s say a trader sells a Short Call with strike 100 (for making profit with the premium) at-the-money (for highest extrinsic value there). For hedging until expiration, he buys the underlying share ...
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0answers
273 views

Risk management for Digital Option at large Bank

Say, an investment bank sell Digital Call Option to its client at strike 100. But trader at the bank want to book the deal with a call spread at 99/100 (price&hedge Digital Option like price&...
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0answers
56 views

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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0answers
120 views

Delta hedging Question [closed]

What is the delta of a short position in 1,000 European call options on silver futures? The options mature in eight months, and the futures contract underlying the option matures in nine months. The ...
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1answer
83 views

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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0answers
270 views

How to hedge a long stock with the corresponding volatility ETF

Let us say I want to establish a market neutral position. So if I buy 50 shares of stock (SPY) and I want to delta hedge, I sell an ATM covered call. So that brings the position delta to 0. Now, I ...