# 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 ...
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### 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 ...
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### 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 ...
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 $0.5$): $w_A = 0.15$ ...
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### 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 ...
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 ...
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. ...
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### 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 ...
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 ...
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 ...
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### 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 ...
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 ...
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.
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 ...