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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57 views

Put-on-call option confusion

So the question asks: Given a 3-steps Binomial Tree model with $S(0) = 50$, $U = 20%,D = 􀀀20%$, and $R = 5%$. A European call option has the strike price $X = 40$ and maturity time $T = 3$. Also, a ...
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45 views

Effect of different maturity options in delta-gamma-hedging

I read about hedging with options and think i got it. However there is a case am not sure how to handle. Is there any exception in the delta-gamma-hedging-(calculaton-)technique? - say: solve an set ...
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71 views

Options and bond related to convexity

Relevant definition: Assumption 2.1 (No dominance). If the payoff $P$ of a financial instrument is nonnegative, then the price $p$ of the financial instrument is nonnegative. Notation: $T$ - the ...
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55 views

Martingale correction for Andersen scheme with Interest Rate

I have implemented martingale correction to my Andersen scheme for Heston model, as it is in the paper (page 19-22): http://www.ressources-actuarielles.net/EXT/ISFA/1226.nsf/0/...
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2answers
300 views

Barrier option : Monte carlo simulation

I am trying to price a Down-and-Out Call using Monte Carlo simulation. The problem is that I get the right price for the vanilla option (same price as the analytic formula of Black and Scholes) but I ...
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119 views

Estimating profit/loss of a Gold Futures option using Theta and Gamma

HELP! I am trying to find how much the underlying price of a gold futures option must move in order to breakeven on owning an option for a day. I was hoping someone versed in pricing options could ...
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73 views

Double no touch option with four barriers

The double no touch (also known as a range binary) is an option with two American barriers. You define one barrier above the underlying asset and one below it. If during the option's lifetime the ...
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155 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 ...
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31 views

no arbitrage condition for paylater option

a paylater option has the folowing payoff: $(S_{T}-K)_{+}-P1_{S_{T}>K}$. To determine the fee P that the option holder must pay, we must write the non arbitrage condition. Why is it this: $E_{Q}[(...
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89 views

QuantLib: New Instrument derived from VanillaOption + PricingEngine that must work for both VanillaOption and the derived class

The derived class is a Vanilla Option on a Future and I need to specify the expiry of the underlying future which is in general different (later) than the expiry of the Vanilla Option. I have ...
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3answers
159 views

delta hedging strategy for OTM option

Wondering how you would think about the following thought experiment - suppose you sell an OTM call option and plan to implement a delta hedging strategy whereby if the price of the stock were to ...
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54 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 ...
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80 views

What is more likely effect to call and put prices, respectively, if the stock price decreases by$1?

The current stock price is \$80.Call ,and ,put, options, with ,exercise ,prices, of $50 and 3 days to maturity are currently trading. What is more likely effect to call and put prices, respectively, ...
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82 views

put call parity for futures options derivation in Hull

In Hull, the following derivation of PCP for futures options: What confuses me is that it is stated that the payoff of the long futures is $F_t-F_0$. The footnote states: the analysis assumes that ...
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147 views

How do you calculate price of non-existant call option on commodity future

I've been stumped on this for awhile now. I'm trying to determine the price of a call option on a commodity futures contract that expires in the future. My issue is that while the future's contracts ...
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102 views

Option writing optimal sell time

When selling options, e.g. a straddle I read often the optimal time for selling options is 30-40 days until expiration. For me intuitively the optimal time would be around one week until expiration ...
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102 views

Is it realistic to assume that the current price of a stock takes into account the probability of it going up or down in the future?

I'm currently reading the following lecture notes: http://www1.maths.leeds.ac.uk/~jitse/math2515/lecture04.pdf On the second page, under the subsection titled "The Risk-Neutral World" it points out ...
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148 views

Numerical Solutions for PIDE

I want to solve an exotic options of PIDE by Numerical Methods.I just focus on the integral part of PIDE and want to underestand some tips on numerical solution of how to numerically solve it. Exactly ...
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84 views

binomial option pricing model - problem with risk-neutral probability

I have a little problem: in the binomial option pricing model, the price of a european derivative security $V_{n}$ satisfies: $V_{n}=[1/(1+r)]*[\tilde{p}*optionUp +\tilde{q}*optionDown]$ where: $\...
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61 views

I have some historical options data, and there are duplicates of some options, how to filter them

I have some historical EOD options data for 2013, and there are duplicates listed for same strikes/expirations. I was told that by the provider that this is due to "special one-time cash payout" for ...
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197 views

How to calculate the probability of 2 options ending in money with different expiration dates?

Lets say I make a trade that consists of buying one put and 2 calls of the same underlying but with different expiration dates and different strikes. Example trade: ...
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655 views

Which risk free rate is assumed by market when pricing american options?

I'm just started with finance, so maybe my question is dumb or answered elsewhere. Please guide me to relevant materials. According to put-call parity more time to expiration means more difference ...
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495 views

FX Delta Conventions

I'm currently reading Iain Clark's book Foreign Exchange Option Pricing and I got stuck at one sentence in the beginning of Section 3.3 that I feel is important to understand. He writes: FX ...
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2k views

Historical Value At Risk on option portfolio

I am new to Value at Risk subject in fact everything related to quant. Can any body validate the Value at Risk Model on the option price ? I am using a below explained approach . our portfolio ...
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88 views

How can theta be so large on this option?

The AAPL Sep 95 put currently has a theta of -.21. The put midpoint is .84. 84/21 = 4 days. However, the put has nearly a month before expiration, at which time it will be zero. Not 4 days from ...
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192 views

Non-Negativity of up-factor and down-factor in Binomial No-Arbitrage Pricing Model

Consider a stock which is trading at $S_0$ at time $t=0$ and is expected to be trading at price $uS_0$ or $dS_0$ at time t=1 where $u$ and $d$ are up-factor and down-factor. The theory says that to ...
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191 views

Selling an American call option early

I understand it is never optimal to exercise an American call option early. [1] [2] However, here are my two contradictory thoughts about selling an American call option early. Assumptions I can ...
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3k views

How can I calculate the strike price or implied volatility from a given delta?

I have calculated the implied volatility for all strikes of a certain product (options on futures) and approximated the ATM volatility. My question is how can I figure out the implied volatility for a ...
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198 views

Are power contracts traded on any stock market?

Are power contracts traded on any stock markets ? What about OTC markets ? I ask about the derivatives where payoff is some exponential function of difference between strike and spot price.
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647 views

Price volatility and yield volatility

This question is a bit confused, but please bear with me. Now and then I see people use the terminology "price volatility" and "yield volatility" in connection with bond options. I understand the ...
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147 views

Volatility tools / web sites?

Could someone give recommendations regarding volatility tools / web sites that they find useful? I am looking for information that my brokerage platform does not provide. Specifically, I want to see ...
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1k views

Implied state price density (Question 1 - derivation of the formula)

I came upon the term "implied state price density" in a couple of papers. As far as I understand the concept one basically tries to extract the "pricing density" from the market data. For the sake ...
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510 views

Pre-trade evaluation and risk assessment of option trading strategies (in market practice)

When a trader gets conclusion of the volatility is being underestimated (via volatility cone or some other technology), actually there are multiple ways for his trading. (Let's assume the underlying ...
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521 views

How to hedge a forward contract

I was asked this in an interview and I messed it up lol. This might actually be really basic. Let's say I signed a forward contract to buy NASDAQ at 4000 one year from now. How can I hedge this cash ...
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299 views

Basket Option weight sensitivity calculation

I am looking to find/estimate the "greeks"/option price sensitivities/derivatives for a basket option situation. In specific the change in price of a put option associated with a change in weight of a ...
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252 views

binary tree options pricing model with dividend value - How should I discount the option at?

the expected value of the option given the next period up, down values is: $ Pexp = (p Price_{next, up} + (1 - p) Price_{next, down})/R$ where p is defined as $p = \frac{\exp(-r \times \Delta t) - d}...
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133 views

probablity expiring in the money ..basic question

Everyone says $N(d_2)$ is the probability of the option being exercised but stocks that have really high volatility have really expensive options indicating a high likelihood of expiring in the money. ...
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586 views

fair price for a call option

I am struggling with the following problem: An investor is considering a European call option, whose price $C_0$ is yet to be determined, on the shares of a company called XYZ. You know that : the ...
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243 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 ...
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357 views

Black 76 for Options on Interest Rate Futures

This is my first time using Black76 to value options on IR futures and I have a question on $F$ and $K$. I understand the price for an IR future is usually quoted as $100 - r$. Do I use this price ...
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850 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 ...
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202 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 ...
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424 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.
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176 views

monthly contract volume required for penny increments?

Have the exchanges disclosed their criteria? Does anyone have a best guess based upon observations of volume (however you wish to define it)? Please no qualitative answers.
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931 views

Portfolio Greek Exposure Equations

What are the calculations for calculating greek exposures in a portfolio of equities and equity options? I think I have them but I want to be sure. Are these correct (for vanilla options)? ...
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1k views

Multi asset option portfolio risk management (greeks and FX exposure)

I am running an options book containing listed options across multiple products. I trade mostly equity and index related options - with a preference for European expiration products. I trade products ...
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498 views

Calculate historical (ATM) option prices with public data

I just saw the question How to calculate the most realistic historical option prices with additional publicly available parameters and I am interested in the step before that. How can I calculate ...
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43 views

How do I calculate the probability of a short option position expiring worthless?

I want to be able to determine the probability of a short option position (call or put) expiring worthless. Don't know where to start but I see probabilities derived from the greeks on some web sites?...
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45 views

How can we observe volatility smile from the market. Drawbacks of Heston Stochastic Volatility Model

Here are two questions related to implied volatilities. a) The set up here is for an European option. We can get its implied volatility smile from calibration, the question is why could we also ...
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32 views

Is it possible to place hidden order inside spread when trading E-mini S&P 500?

My question is not about hidden orders in general. In equity market a trader can post his hidden order inside spread, is it the same way for E-mini S&P 500?