Questions tagged [delta]

The tag has no usage guidance.

103 questions
Filter by
Sorted by
Tagged with
496 views

Why is the dividend risk of an option equal to its delta?

In this document, https://www.eurexgroup.com/blob/2435406/f1b0086a8c6d05954c58a8dc24308c81/data/20160304_Colin-Bennent-Trading-Volatility-.pdf, it states that "This is because the dividend risk of ...
447 views

How to compute delta and delta-hedge in practice?

I keep hearing things like \begin{align*} \text{Traders make their book delta-neutral at the end of each trading day''} \end{align*} I am wondering what this means, and why this is supposed to give ...
201 views

Strange Delta for FX Down And Out Call, Strike below Barrier

Based on this text about FX options on pages 139, 141 and 145 I'm trying to compute the delta of a down and out call with the strike below the barrier. Here is a quick and dirty Python code (I assume ...
4k views

Skew and shadow delta

The presence of skew causes a correlation between volatility and spot. This correlation produces a negative shadow delta for all forward starting products (forward starting options have a theoretical ...
881 views

Delta hedging frequency, Gamma PnL

I want to know the expectation and the variance of the Gamma PnL for different hedging frequencies. Let's say the return of the underlying follow a normal process: $dr= \sigma*dW$, the market trades ...
92 views

Why “ Even if the underlying asset price remains unchanged, the option delta for an in-the-money option increases as expiration nears”

I saw this line on some website but can not understand it. Can anyone explain it? "Even if the underlying asset price remains unchanged, the option delta for an in-the-money option increases as ...
906 views

Bachelier option delta = probability of exercise?

Under the Black-Scholes model, the delta of a call option is sometimes interpreted as the probability for the option to end in the money. If I assume that the underlying follows a normal distribution ...
4k views

why is the delta of a short call option negative? [closed]

Why is the delta of a short call option negative? In Black-Scholes-Merton equation the delta of a call option is always a probability function therefore it does not imply such a consequence. How do I ...
8k views

What is the relationship between Time-To-Expiry and Delta?

Is there any regular relationship between Delta and the Time-To-Expiry of an option? I have observed that options that expiry sooner are more sensitive to underlying movements (with equal strikes). ...
781 views

Conversion of a premium-adjusted delta to a strike

I am trying to compute the calibration of an FX market volatility surface, and especially I want to retrieve the strikes from the deltas quoted. I don't have any trouble reverse-engineering the ...
56 views

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 ...
117 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 ...
404 views

why Delta increases as interest rate increases

I just would like to know why $\Delta$ increases as $r$ increases. I would like an intuitive answer, without model (I can compute my greeks myself). Thanks
5k views

Calculate strike from Black Scholes delta

I have a list of deltas and their corresponding volatilities in an FX market but I want to go from delta to strike price. In this Question similar problem is being discussed How can I calculate the ...
114 views

189 views

Approximation of an option price

The value of an option in the money is 11.50 Euros. The parameters of the market are: -The price of the underlying stock: 81.4 Euros. -The volatility ofthe underlying is : 34.65 % The ...
3k views

What is the difference between par delta and zero delta?

I was looking at different methods of calculating delta for Interest Rate Swaps(IRS) and came across the words par delta and zero delta. I am not sure of the difference between the both and when to ...
68 views

European call option delta and maximum principle

From comments, the maximum principle for parabolic PDE can be used to show that the European call option delta cannot be greater than 1. I am looking forward to such derivations.
219 views

Is the European call option delta an increasing function of the spot?

In the Black-Scholes' setting, the delta hedge ratio of a European call option is given by $N(d_1)$, which is an increasing function of the underlying equity spot $S_0$. Does this property hold ...
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 ...
731 views

European Call Option Delta Upper Bound

For a pure equity process (with interest rate, dividend, etc., being zero) not necessarily the geometric Brownian motion, is the delta of a European call option always no higher than $1$? I am NOT ...
381 views

Deduce expected exposure profile from option/structure delta?

I am thinking about whether there exists a relationship between the delta of an option (or any structured derivative) and it's expected positive/negative exposure? An intuitive question would be the ...
87 views

Intraday Value at Risk approximations

We use full valuation of derivatives portfolios using scenarios from historical data. For simple contracts, this is relatively fast. For contracts requiring monte carlo simulation, this becomes ...
941 views

154 views

Delta of a standardized at-the-money 30-day put option

The plot below depicts the delta of a standardized at-the-money 30-day put option on the S&P500 tracker SPY over a 14-year period. This is data from OptionMetrics and standardized prices are ...