# Questions tagged [delta]

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### Integrated Delta does not seem to be smooth (ATM, Heston)

I am interested in an integrated call option that removes the dependence on time, $$I(S)=\int_0^\infty C(S,t)\text{d}t.$$ Because the value of a call option is a smooth function, I expect this ...
2answers
79 views

### Derivation of the Gamma approximation formula from the Delta approximation formula

The formula of Gamma = (Vplus + Vminus - 2V0)/(V0 * dS^2), where V is the contract value, S is the stock price. We also know that Gamma = (Dplus-Dminus)/(Splus-Sminus), where D is the contract ...
1answer
38 views

### Confused in regards to calculation of delta of one share including one call and one put [closed]

Q:My investment portfolio has one share of one call and one put, what would be the delta of my portfolio ? delta of call:0.45 delta of put: -0.14 My thought process: To begin with since im dealing ...
0answers
28 views

### Given a cointegrated portfolio of stocks, how to build a synthetic option position by using the options on the stocks

The setting Let stocks $A$, $B$, and $C$ are cointegrated. Moreover, we know the weights of the cointegrated portfolio (scaled so that the absolute value of the maximum weight is $0.5$): $w_A = 0.15$ ...
1answer
70 views

### Delta and Gamma profile

There is an active spread option traded in ICS as described here - https://www.theice.com/products/28881205/Crude-Future-Brent-1-Month-Calendar-Spread-Options I am ...
1answer
73 views

### Hedge error - Willmot and Ahmad

I'm currently reading the paper: Willmot and Ahmad: Which free lunch would you like today, Sir? Delta Heding, volatility arbitrage. In case 1: They delta hedge with the actual volatility, by going ...
1answer
45 views

### Local Volatility Monte Carlo option price - different starting index level

I constructed the local volatility surface of S&P 500 from implied vols and was able to price the options accurately using Monte-Carlo. Let's say I priced a 80% of S0 put option with S0 = 4000. ...
1answer
82 views

### 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 ...
5answers
132 views

### Why isn't the delta of a slightly in the money American option 1?

Doesn't the intrinsic value rise 1:1 with stock price when an American option is in the money? Also, you can exercise the option at any time to capture the intrinsic value (even though this would be ...
0answers
33 views

### comparing volatilities of 2 different commodities when no delta is provided

If I wanted to compare the relative volatilities of options on 2 different commodities, but the deltas are not provided, is it sufficient to compare by the % each commodities strike is in or out of ...
1answer
210 views

1answer
92 views

### Black Sholes option pricing with all but Delta [closed]

I'm trying to setup a little option pricing model in excel. I have all the information for the inputs (interest rate, IVs for different deltas, time to expiry, strike price, underlying price) but what ...
1answer
435 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 ...
1answer
134 views

### What is the shape of the delta graph of the binary option?

I was wondering what the shape of the graph of the delta or the binary option would be.
0answers
1k views

### What exactly does shifting a barrier in a barrier option mean and how does it hedge delta?

How exactly is shifting the barrier to hedge delta implemented in case of barrier options. Is it just changing the barrier, if so, how does it hedge delta or is it making the barrier a range like a ...
0answers
283 views

### Understanding delta based strike selection in an Iron Condor

I am reading a small book on the proper use of Iron Condors (link). I do not use these strategies as I have had a very hard time being profitable on them. This book mentions some strategies to ...
1answer
2k views

### Delta Hedging/ Exchange for Currency Options

I'm looking at 2 cases of hedging EURUSD, using call spread or range forward. Lets say spot is 1.1300 and my buy call is at 1.1300 and sell call is at 1.1500. Hypothetically I'm assuming that this is ...