A contract that gives the owner the right, but not the obligation, to buy or sell a security at a fixed price in the future.

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3
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2answers
143 views

Time-zero price of two specific contingent claims

I am unsure how to start with the following problem. I have two contingent claims where contingent claim (1) pays $\int_0^T S_u du$ and contingent claim (2) pays $(\log S_T)^2$ at time $T$ Now I ...
1
vote
1answer
222 views

Price of a down-and-out call in terms of European call

If $EC(S_0, K, \sigma, r, T)$ represents the price of a European call option with strike $K$, expiry $T$, initial price $S_0$, volatility $\sigma$ and where the constant interest rate is $r$, then I ...
2
votes
1answer
103 views

Lattice Boltzmann method for pricing options

I'm looking into whether there is ANY information out there regarding the implementation of the Lattice Boltzmann method for pricing options (or other financial tasks). I am very new to the world of ...
8
votes
1answer
229 views

Inflation modelling

I am trying to price an option on the Spanish CPI. The option is a European call with a single observation date. However, I am fairly new to inflation modelling, so there are two areas in which I ...
2
votes
0answers
38 views

How to interpret CME's specification regarding grains options expirations?

Looking at the contract specifications for Soybean Meal and Soybean Oil (same for Corn, Wheat, and other major stuff I checked) serial options on CME I see the following expiration rule: the last ...
3
votes
5answers
4k views

How to calculate stock move probability based on option implied volatility and time to expiration? (Monte Carlo simulation)

I am looking for one line formula ideally in Excel to calculate stock move probability based on option implied volatility and time to expiration? I have already found a few complex samples which took ...
13
votes
6answers
1k views

Why are options trades supposed to be delta-neutral?

I'm reading Natenberg's book, and he says that all options trades should be delta neutral. I understand that this prevents small changes in the underlying price from changing the price of the option, ...
1
vote
1answer
82 views

Calculating deltas of call options?

From a continuous standpoint, I understand why an ATM call has delta = 0.5 and for ITM call, the delta approaches 1 since each move in the underlying corresponds to same unit of value change in call ...
2
votes
2answers
2k views

How to Delta Hedge with Futures?

The theory of delta hedging a short position in an option is based on trades in the stock and cash, i.e. I get the option premium and take positions in the stock and cash. In the classical ...
1
vote
5answers
5k views

Why do some people claim the delta of an ATM call option is 0.5?

I am looking for a mathematical proof in terms of differentiating the BS equation to calculate Delta and then prove it that ATM delta is equal to 0.5. I have seen many books quoting delta of ATM call ...
0
votes
2answers
124 views

How is holding an European call option equivalent to holding an asset-or-nothing call option and writing a cash-or-nothing call option?

The cash-or-nothing call option has a payoff that is equal to the strike price. All three options have the same expiry date.
0
votes
2answers
411 views

Drawbacks of Black-Scholes option pricing model

Will highly appreciate if anybody can provide logical financial proof why the Black-Scholes option pricing model overestimates the value for long-term options as described in this paper "Warren ...
5
votes
1answer
763 views

Implied dividend estimation

I am looking at two different ways of estimating the expected / implied dividends from market data. 1. Dividend futures I know that this asset class is not very liquid and might not be ...
0
votes
0answers
88 views

Log returns and time

In calculating realized/historical vol for fx spot, my samples/fixings are currently every minute. I need to be able to calculate and plot historical/realized vol on demand from spot prices. ...
7
votes
4answers
1k views

How to obtain true probabilities from Black-Scholes?

How to obtain true probabilities from Black-Scholes option pricing equation? Suppose, that we know risk adjusted discount rate for the underlying asset (the drift term in the physical measure) and ...
0
votes
1answer
158 views

Distinguish between market makers and other participants?

Are there any known quantitative techniques to distinguish between market makers and other participants? I manually MFT, have no knowledge of these specialties, and may be observing phenomena that ...
3
votes
0answers
87 views

Estimating risk aversion (power or exponential utility) from options prices

I came across this literature and it seems like there are a number of ways people do this. You can do it for an option on any underlying as long as you can create the risk-neutral p.d.f. If you agree ...
1
vote
3answers
411 views

Understanding the concept of Martingale pricing

I am a bit confused about how to formulate a problem where I have to price an option on a stock. Many papers say that stock prices are best modeled using a geometric Brownian motion (GBM), and I ...
1
vote
2answers
237 views

Finding Probabilities Using The Binomial Model

I was not able to find a similar question when searching, but if I've missed one please feel free to point me to it. Unfortunately the closest example in the textbook was not terribly helpful either. ...
2
votes
1answer
334 views

GARCH(1,1) prediction in R - Basic Questions

Background to question: Hi, I was trying to fit a GARCH(1,1) model to the variance of log returns of a series, and ARMA(0,0) for the mean. I was using the fGarch package to do this. The aim of the ...
0
votes
0answers
55 views

pricing barrier options

Is there an easy derivation of this? I don't understand page 13 http://www.math.uchicago.edu/~may/VIGRE/VIGRE2010/REUPapers/Turner.pdf u(0, τ)=0 This problem has now become that of the flow of ...
1
vote
1answer
187 views

How to explain the path dependency in binomial tree model to price options?

I'm new to quantitative finance, so I'm confused with the so-called path dependency in binomial tree model. Originally I thought the path dependency exists because in binomial tree model, we will ...
0
votes
4answers
371 views

compute sharpe ratio for options?

Calculating sharpe ratio for shares is a straight forward task: (average returns - risk free ) / standard deviation. However i remain baffled as to how to tackle the task for options, can someone ...
2
votes
1answer
129 views

Synthesize a futures spread option

Is it possible to synthesize a futures spread option using only the options on the spread's underlyings? If so, how? If not, is there another way? As an example, please show me how to synthesize ...
0
votes
1answer
162 views

How to construct the binomial model for European option?

The annual interest rate is 5.3% and the annualized volatility of a non-dividend paying stock over the next six months will be 12.5% (annualized). i) Construct binomial trees of 5, 10 and 30 periods ...
0
votes
1answer
251 views

Risk-free investment strategy for european call and put option

I have some trouble solving the following question: We have an european call and put option (with the same maturity date $T$ en strike $E=10$). The stock price now is $S=11$ and we use a continuous ...
0
votes
0answers
112 views

EOD Options data provider - optiondata.net

Does anyone have any experience with optiondata.net as data provider for EOD options data? How would they be compared to historicaloptiondata.com?
0
votes
1answer
130 views

Calculating Greeks in Covered Calls?

Just want to confirm whether Delta, Gamma, Theta, Vega will be calculated in the following way? Since we own 100 shares of stock while selling a call we need to subtract greek value from one? right? ...
0
votes
0answers
13 views

Where to find, d/l specific (OCC) historical Option data beyond the free 2 years [duplicate]

The OCC www.optionsclearing.com/‎ provides a nice breakdown for CBOE options data, however they only go back 2 years on any given day. Is there a good not-too-high-cost database one can recommend for ...
0
votes
0answers
94 views

stock option strategies long vs short

What makes an option strategy long or short? I got the impression that if it is a net debit (you pay to open the strategy) it is classified 'long' (strangle, straddle) Then I learned about the call ...
2
votes
2answers
148 views
1
vote
1answer
164 views

Why is the VIX computed that way?

The VIX as a clear definition as defined in this paper I am interested to know why they came up with this formula. I smell some reasonably complicated explanation here so any pointer to a paper ...
1
vote
1answer
367 views

Breakeven of a delta-hedged option

Basic question to which I surprisingly did not find an answer on here. What's the best approximation to the break-even (with respect to stock price) for an option that was hedged fully at point of ...
0
votes
1answer
113 views

Physical Option Implied Distribuition

So I got risk neutral probabilities from stock option prices. How can I then map them to a physical measure?
14
votes
7answers
5k views

What is the “delta” option quoting convention about?

At my work I often see option prices or vols quoted against deltas rather than against strikes. For example for March 2013 Zinc options I might see 5 quotes available for deltas as follows: ...
8
votes
2answers
820 views

Why are there still manual market makers in options

Why are manual market makers still predominant in options markets? Why haven't algorithms replaced these market makers, as they have for liquid stocks for example?
1
vote
0answers
70 views

Adjusted option prices?

I am trying to calculate IV of options for a ticker over the last 10 years. Problem is that some option prices don't make sense (for example, closing price \$31.94, but 30-day call option with 18 days ...
2
votes
1answer
370 views

Monte Carlo Options Probability Calculation

I have a fairly simple problem for an application I am writing currently. How do you calculate the options probability of being in the money or touching a certain strike price. I know there are at ...
-8
votes
4answers
1k views

True or False? An option's price will always be greater than or equal to its intrinsic value

Since if the option's price is lower than its intrinsic value (eg. strike price - current stock price for puts), then an arbitrage opportunity arises from buying the option at bargain and then ...
1
vote
0answers
224 views

Pricing options and bid-ask spread

Consider a non-liquid option market with a wide bid-ask spreads across all strikes. Spot: \$52 A snapshot of the \$50 strike shows: ...
0
votes
0answers
102 views

“Real” DMA to Options Markets

I'm looking for a broker with DMA to large options markets (CME, ISE, CBOE). Broker should be HFT friendly, i.e. offer fast API, low fees for huge amount of trades and so on. Price is not an issue. ...
2
votes
2answers
294 views

Index arbitrage with Options when not all underlyings have options listed?

One arbitrage strategy involves looking at the price of the Index Futures price compared with the prices of the options contracts for the underlyings. My question is, can this arbitrage strategy ...
2
votes
0answers
98 views

Pre-Trade Slippage Costs For Option Spread Execution

Is there a quant model that can help estimate how much slippage one would have to give up in order to get an "option spread" (vertical, butterflies, etc.) order executed? What factors should one look ...
0
votes
1answer
285 views

Question about option theta

I have a question about a option theta. When I evaluate the option theta of near expiry put option using Black-Scholes formula given the data as follow: Index Level = 20,500 Strike Price = 20,000 ...
1
vote
1answer
154 views

reinsurance pricing equivalent to option pricing

Is it true that pricing a reinsurance contact is equivalent to pricing an option. Basically a reinsurance just cuts off the risk exposure of the insured institution to a threshold say $K$. So if we ...
-2
votes
1answer
191 views

Where can I get real-time equity options quotes for a reasonable price (i am not a company) besides screen scrapping Yahoo! Finance? [duplicate]

Want to have electronic access to equity options quotes in real-time. Is there anyone offering this service to the individual investor for a reasonable price? Again it must be electronic, in other ...
0
votes
1answer
160 views

Japan day count conventions

I am after a good comprehensive resource on Japanese day count conventions. By that I mean, is actual/360 or actual/365 used for pricing various options, forwards, futures, etc.
3
votes
1answer
1k views

Seagull option strategy - clear example

It looks like the subject of seagull option strategy is not as clearly explained as for other strategies (butterly, bull,bear spread). Thus, can someone provide a clear example of what you buy and ...
4
votes
3answers
214 views

self-consistent parametric form for equity implied volatility

I recall reading a paper, but can't remember where I found it. In short, there was a parametric form for volatility smile/skew that fit both index and single stock vol slices and had intuitive ...
0
votes
0answers
164 views

CME historical option data provider

Is there any other historical end-of-day CME option data provider rather then CME DataMine? I've searched all the internet and found only CBOE traded options.