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7
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1answer
129 views

How do different models impact option Greeks?

If I trade an option using delta, vega, Prob OTM, etc. these are derived from a model. How do leading models impact valuations in terms of the Greeks? I suppose to form a baseline it would have to be ...
1
vote
1answer
39 views

Greeks across different underlying

To monitor risk of a client portfolio, does it make sense to accumulate Greeks across different underlying? If yes, how can Greeks be normalized across different underlying?
1
vote
2answers
77 views

Why not delta of Call option is stochastic or random variable?

Delta of an option is defined as ratio of change in price of call option to change in price of underlying securities. If, $c_t$ is call option price at time $t$ and $S_t$ is the price of underlying ...
3
votes
1answer
71 views

Using limit orders or stop orders and gamma

From Dynamic Hedging by Taleb: Risk Management Rule: Option trader lore states that when long gamma, use limit orders. When short gamma, use stop orders. I cannot understand why this is and the ...
4
votes
1answer
113 views

Link between Vega and Gamma

"The vega is the integral of the gamma profits ( ie expected gamma rebalancing P/L) over the duration of the option at one volatility minus the same integral at a different ...
0
votes
0answers
14 views

Calendar spreading and difference in cash and futures

"Often the calendar spreading gives rise to two different levels of gamma: a long gamma in one maturity against a short gamma in another one. This may be stable except that the two maturities might ...
4
votes
2answers
758 views

Is there any gamma in basis (i.e., floating for floating) interest rates swaps?

It is well known that vanilla fixed for floating swaps usually have a bit of gamma, but does a floating for floating (basis) swap have any? For the sake of simplicity, let's assume that both legs of ...
1
vote
0answers
95 views

Computation of option vega under CEV

It is easy to define the option vega $\nu=\frac{\partial C}{\partial \sigma}$ under Black Scholes model since volatility is a single quantity. However, under CEV or local volaility model, it is ...
1
vote
0answers
47 views

Interest Rate Risk - The Greeks

IR Delta and Gamma. Can someone please explain if my understanding is accurate as relates to a 2yr interest rate swap? You are considered to be long Delta in an interest rate swap if you are ...
2
votes
3answers
155 views

Option greeks vs Position greeks

I know that when it comes to delta, you would calculate your position delta (of a stock position) as follows: option delta * position size * 100 For example if I ...
2
votes
2answers
247 views

Greeks and Option Premium

If a linear sum of options is constructed such that the premium payout is zero, then does it mean that resultant greeks of the cumulated options positions will be nearly zero. For simplicity, lets ...
4
votes
0answers
56 views

Greeks of a Basket Option

I want to estimate delta, vega and gamma for a basket option. This option is a European Call option. The underlying is $S=\omega_1 S_1 +\omega_2 S_2$ Where: $S1$ = stock price of asset 1 $S2$ = ...
1
vote
2answers
125 views

Which volatility to use?

For calculating the greeks http://www.vollib.org/html/apidoc/vollib.black.greeks.html Should I use historical volatility or implied volatility?
0
votes
1answer
45 views

Extracting IB market data: bid and ask for greeks and IV

I wrote a piece of code to get option chains with volatility and greeks from IB market data. After testing yesteday, it seems to work, but I am surprised of seeing bid and ask for impliedVolatility ...
0
votes
0answers
47 views

Delta of an option in two cases

Let C be the prime of a call in fi=unction of the price in term F, Strike K, volatilité $\sigma$ and maturity t: $C(F,K,\sigma,t,r) $ We assume that we know $\delta$ ...
3
votes
2answers
115 views

Vega in a “constant volatility” Black-Scholes world?

A little confused, I consulted the Wilmott forums for guidance on how I can interpret vega/vomma. Another user's post reminded me that the Black-Scholes model assumes that the underlying has constant ...
3
votes
1answer
84 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 ...
0
votes
0answers
41 views

Hedging portfolio of options with different underlyings

Suppose i have call options for 90 of the 100 stocks of NASDAQ100. How can i hedge the risk using NASDAQ futures? Also, how can I get rid of the residual risk?
0
votes
0answers
100 views

Ideas for speeding up greek calculations

My current calculations using the vollib library averages 0.5 seconds. Is there any way to get it faster? Any tips/best practice notes will be helpful. This is for a scripting language such as ...
3
votes
6answers
202 views

Intuitively speaking, why do at the money options have no volga/convexity?

I was wondering if someone could give me an intuitive explanation as to why the vega of at the money options doesn't increase with volatility. I've seen some mathematical explanations showing the ...
7
votes
2answers
9k views

How to numerically obtain delta?

The delta in option pricing, also called the hedge ratio, is expressed as the sensitivity of the option price to the underlying price change. The analytical solution for the most common option ...
0
votes
0answers
61 views

Binary option greeks formula for american style exercise

I got Binary option greeks formula in many below links but if i am not wrong indirectly they all are related to European exercise style. Link1: ...
2
votes
1answer
77 views

Under what circumstances Veta is positive?

In general, as the option moves towards expiry, its vega is decreasing. Are there circumstances where the veta, i.e. the sensitivity of vega with respect to time, is positive, that is when vega is ...
3
votes
1answer
100 views

How does Algorithmic Differentiation work and where can it be applied?

The title says it all, but let me expand on it. Algorithmic differentiation seems to be a method that allows a program / compiler to determine what the derivative is of a function. I imagine it's a ...
2
votes
1answer
383 views

Value at Risk from Delta of a single asset portfolio

I am trying to figure out the following, for me unfamiliar type of question: Given is a single asset portfolio: the Delta of the portfolio is 15, the value of the asset is 10 and the daily volatility ...
2
votes
1answer
115 views

What should be the sign of greek letter $\rho$?

I'm reading the book Risk Management and Shareholders Value in Banking by Resti & Sironi. I quote a paragraph from the book (Chapter 5, appendix): The derivative of an option’s value with ...
1
vote
1answer
53 views

Is it possible to detect a belief that a security will peak and then decline by analyzing American options pricing?

Please forgive me if this is a dumb question. I know only the basics of options and their valuation, and this is a question I've wondered for some time without being able to find a satisfactory answer ...
5
votes
1answer
115 views

How to interpret this CDS spread sensitivity pattern?

From page 27, Table 6: Why are sensitivities of CDS slightly negative before the maturity of the CDS? I do not get the intuition: if I am long a 5-year CDS, the spreads <5y increase, and the ...
4
votes
3answers
192 views

Can I get Black-Scholes option price from greeks?

I am unpleased with current Interactive Brokers risk graph for option strategies, so I'm planning on writing an application myself to plot it. My initial idea is to get the option greek values from ...
1
vote
1answer
100 views

Why is Vega meaningful only for options which have single-signed gammas

I have been reading Wilmott Frequently Asked Question book and this was mentioned that Vega is not useful when measuring risk for options that have gammas changing signs such as Digital option or ...
2
votes
0answers
74 views

Trying to understand the sign of Theta

I guess this a pretty easy question to answer, but I'm not able to get the intuition despite reading the concept a couple of times. So, the Greek Theta is almost always negative, except for when an ...
4
votes
2answers
209 views

is there an analytical proof that vega-neutral also provides (gamma & theta) neutral?

I've read an answer here that say if your security has vega, then it has gamma and theta. is there an analytical proof that vega-neutral also provides (gamma & theta) neutral?
0
votes
1answer
46 views

In this scenario could gamma be higher for OTM options?

Let's say there is a $1 stock, with say 1 day to expiration. The 1.5 strike call, is probably a 0 delta at this point; however, a 1 point increase would mean the stock would be at trading at 2 ...
0
votes
1answer
323 views

Gamma Imbalance Explanation

Can someone please give me an explanation as to what put-call gamma imbalance specifically refers to (imbalance of what?), and why they may exacerbate volatility from a market perspective, and why the ...
0
votes
1answer
57 views

Interpretation of vega out of BS formula

I am comparing Monte Carlo estimates of VaR (using importance sampling) under both the normal and student distributions. I am also considering risk factors other than log-prices; in particular, ...
0
votes
1answer
122 views

Gamma derivation from the expectation

I am trying to derive Gamma from the expectation principle (differentiating under expectation sign). I understand these steps $\frac{d^2 C}{d x^2} = e^{-r\tau} \mathbb{E} [ \frac{\partial}{\partial ...
8
votes
2answers
648 views

The greeks: where do they come from?

I’m studying the BSM model and having a look at the greeks. I was reading Derivatives, by Paul Wilmott, and he gives the closed form solutions without making the reader see where these solutions come ...
0
votes
0answers
26 views

Intermediate Project Presentation

I would like to know an ideal plan for explaining/representing Greeks (1st,2nd,3rd) order. The topic seems to be quite vast and very interesting but not possible to cover within a 15 mins time frame, ...
1
vote
0answers
682 views

Calculating Greeks using BinomialTree in Matlab [closed]

section 1. Calculating sensitivity of the price of derivatives American or European option using binomial tree model section 2. Calculating first order greeks the code compiles till this point ...
0
votes
2answers
260 views

Suppose you bought a July ITM call and sold an August ATM put, am I net long or short?

Here is the full question, even though ive broken it down to the mini question above. Suppose you have bought a July ITM call and sold an August ATM put. What would be your delta in this position? ...
6
votes
3answers
420 views

Variance swap replication and variance vega

Noob here. I've been trying to gain a better understanding of variance swaps and what better way than to replicate it with a portfolio of better understood instruments. I have read the GS 1999 ...
5
votes
2answers
11k views

What does it mean to be long gamma?

When you are "long gamma", your position will become "longer" as the price of the underlying asset increases and "shorter" as the underlying price decreases. source: ...
2
votes
2answers
522 views

Why gamma and theta have opposite signs?

I saw some textbooks use B-S equation to explain why gamma and theta have opposite signs in most of the cases. For example, John Hull's classic book. The explanation is, first write B-S equation in ...
1
vote
1answer
124 views

Why we consider second derivative w.rt price but only first derivative w.r.t time and volatility

What is the reason (better if it is intuitive, and not too math heavy), that when we talk of Greeks, we consider second derivative with respect to price (gamma), but only first derivative with respect ...
0
votes
1answer
105 views

Why theta multipled by days to expiry exceeds the total time premium of the option

Sometimes, I find an option where the total time value of the option may be 5 cents(rest is intrinsic value) and there are about 15 days to expiry and theta is .08 (8 cents). How is this possible. If ...
1
vote
1answer
43 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 ...
4
votes
2answers
242 views

Does higher vega imply higher IV and vice versa

If an option A has higher vega than option B, does that also mean that A has a higher IV than B? I understand that by definition, a higher vega means that A's price is more sensitive to its IV than B. ...
2
votes
1answer
86 views

If an option went down in value, how much is due to theta decay and how much due to fall in IV

Let us say that there was a stock trading at 100 and the 105 call was trading at 3 $. with 1 month to go Now stock went up to 104 after 15 days, and the call dropped to 2.80 $, to the call buyer's ...
5
votes
1answer
171 views

Can I add the greeks of individual postions to obtain greeks for the portfolio

I understand that the delta of an option portfolio is just the sum of the deltas of the individual option positions. What about the other Greeks like gamma and vega? Do the vega and gamma of a ...
1
vote
0answers
70 views

Straddle neutral strategy

What does it mean to implement a delta-neutral strategy for straddle ? A straddle consists in buying a call and a put simultaneously, at the same date, on same underlying, with same maturity and ...