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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38 views

How to price an option with a “step up” feature using binomial tree?

I have a call option with expiry in two years. In my case the option is bermudan style with first 9 months w/o ability to exercise (i.e. European) and after exercise at any time (i.e. American), but I ...
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132 views

Mock/practice trading for options (delta/gamma hedging etc.)

I know there are some sites for practicing equity investing. But could you provide me with suggestions concerning options trading etc. I read Natenbergs book on Options and want to test things like ...
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1answer
124 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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72 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 ...
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250 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: ...
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301 views

Implied volatility and greeks for american option with discrete dividends

What methods are available to calculate IV and greeks for an american option with discrete dividends, and how do they compare? Should I use Roll-Geske-Whaley and solve for a given option price?
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266 views

Interpolate option volatility in delta space in R

I have a bunch of deltas and option implied vols at those deltas. I would like to interpolate them in R. Interpolating them in delta space seems difficult, since normally you would like the ATM calls ...
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163 views

Pricing a Power Contract derivative security

I'm trying to price a "power contract" and would appreciate guidance on the next step. The payoff at time $T$ is $(S(T)/K)^\alpha$, where $K > 0$, $\alpha \in \mathbb{N}$, $T > 0$. $S$ is ...
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163 views

How to calculate a the PFE for a Swaption?

How do you calculate the Potential Future Exposure (PFE) for a swaption? Do you incorporate the dynamics of implied volatility when you are running your simulations? Is there a standard way to ...
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288 views

Delta-Omega Hedging [closed]

I am currently trying to understand the in's and out's of options and more specifically hedging. I came across a document that was talking about Delta Hedging which is just making sure the delta of ...
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2answers
462 views

Delta of a Down and Out Call

I came across some graphs depicting the delta of a down-and-out call. They show that, if the risk free rate of return is 0, the delta is constant at 1. However, if the rate of return is for example ...
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4answers
272 views

What is the Benefit of holding a short option?

i am new to corporate finance and ask myself why a investor is interested in being short on a Option? The only he can win is a premium but he can loose much more. I understand with being a short I can ...
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1answer
192 views

Exotic option pricing

I'm trying to price an option with payoff $\max\{a\cdot S_t - K,0\}$ where $a$ is a known constant. Ideally I'm looking for a closed form, continuous-time solution. Where should I begin?
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1answer
902 views

what is the best way to calculate the probability of an equity option ending in the money?

Given historical implied volatility and all other know variables (stock price, option strike price, option expiration date, dividend rate, interest rate) what is the best way to calculate the ...
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1answer
105 views

Mysterious disappearance of options from historical datasets

I am in the process of analyzing historical options data, and I keep finding options that mysteriously disappear before they are due to expire. For example: For the QQQ $69 Put, ...
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1answer
265 views

Does an option's price “ratio” with the underlying security price?

I'm trying to understand option pricing better. Let's say security ABC is \$40, and a 38 PUT option with 40% implied volatility (and 90 days till expiration) is priced at X. If security ABC then ...
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2answers
93 views

Why long power and short gas for Merchant power plant

Merchant power plant is one that can be turned on whenever you want. Suppose it is generating electricity from natural gas and we have a spark-spread option. Why is that the person who owns plant is ...
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1answer
222 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.
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1answer
478 views

Which prediction market model is efficient and simple to use?

For a college project I'm tasked with implementing prediction market. Which model of it I'd better choose? I want something useful and simple enough for other people to quickly understand and use. ...
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1answer
57 views

Why doesn't VG flatten volatility skew for short term options?

The VG process, from my inexpert point-of-view, seems to nearly perfectly model equity distributions. For longer term options, there is little to no volatility, skewness, or kurtosis parameter skew. ...
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1answer
105 views

What is the Rho of an option on a futures contract priced using the Black 76 model?

I wanted to quickly confirm some simple calculations for the Black 76 greeks and was making use of the formulas on this website: http://riskencyclopedia.com/articles/black_1976/ I have an issue with ...
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1answer
281 views

Asset-or-nothing Option Valuation in the Black and Scholes model

In standard Black-Scholes Model, compute the price of an asset-or-nothing put and asset-or-nothing call options. Write down the put-call parity relation between the asset-or-nothing call and put ...
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2answers
110 views

Practical equity options pricing

To price a vanilla option, the following information are required : Strike price; Underlying price; Volatility; Maturity; Dividends rate; Repo rate; Interest rate; The strike, underlying price, ...
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2answers
152 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.
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1answer
180 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? ...
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2answers
156 views

changes in open interest vs changes in underlying volume

Has a relationship been noted? Mostly, I'd like to know if the open interest increases on an underlying, does the underlying usually see increased trading? My guess would be "yes" since MMs can ...
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3answers
65 views

What is the effect of dividend yield being greater than the risk-free rate to American options pricing?

Even though dividends are discrete, literature often makes the assumption of continuous dividends (mostly in the case of indices but the individual stocks as well). The dividend yield denoted by q is ...
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2answers
107 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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4answers
449 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 ...
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1answer
330 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 ...
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3answers
738 views

How to calculate return rates with negative prices?

I'm dealing with electricity options and I'm considering the possibilty of negative prices. I want two estimate the historic volatility. However, an arithmetic mean doesn't feel appropriate and ...
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1answer
111 views

Symmetry of option-implied probability density

I was wondering whether the option implied probability density of the log returns: $x = \ln\left(\frac{S}{S_0}\right)$ with S the value of a certain stock, is always symmetric ? I was asking myself ...
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2answers
156 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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10 views

Constructing Volatility Smile from Implied Volatility & Delta

I have implied volatility data for call and put options (expiring in 1 month from any given date) for a particular stock. In addition, I have the delta for the options. However, I have no information ...
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101 views

How does Volatility Pairs Trading work?

I've read some material related to pairs trading for equities and I understand the process of finding non-stationary pairs price series that can be cointegrated to form a stationary series. The basic ...
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32 views

Position Strength: Leveraged vs. Non-Levered

Is there some sort of metric or formula for bull/long strength in a market based on % of shorts/longs on margin, and perhaps even the size of that leverage? I ask because I participate in BTC (which ...
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45 views

Negative Risky vs Negative Butterfly

I understand that in regard to FX options, a volatility smile with negative Risk Reversals is effectively indicating that the spot market for a given currency pair is in decline (puts over). In ...
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82 views

where to find historical option prices?

I have a dataset of options (traded in European exchanges such as NYSE Euronext) and I would like to find their price history. Where to find it? I see that ...
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90 views

Does Implied Volatility always exist?

I am considering a simple Heston Model Market with one risky and one riskless asset. The dynamics of the riskless asset is simply $dB_t=r*B_t*dt$ The dynamics of the risky asset is as follows, $ ...
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1answer
29 views

Common point between IR and Vol option pricing models?

What is the common point between pricing models on options on Interest Rates and options on Volatility?
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58 views

Option payoffs and replicating payoffs

I've come across the below question which has no answers to it and I was hoping someone could provide some help. I know it quite a long question and I appreciate any help with this. An investment ...
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44 views

Is it possible to graph the option price with respect to the greeks

Is it possible to graph a European option's price as a function of say, its delta? I've been wondering this since, for example, for a call, the option price is given by $$Se^{-q*t}\Phi (d_1) - ...
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78 views

What are the theta and vega of a forward starting plain vanilla european option with no dividend?

I am reading through Hull's book asking myself this question to understand exotics. I currently believe that theta should equal 0 until the forward start time, $t_*$, if the call pays no dividends. ...
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126 views

Monte Carlo American Option Pricing under GARCH(1,1) volatitliy

I am attempting to price a couple of at-the-money American option using the LSM algorithm and GARCH(1,1) volatility. The LSM code I have works correctly for constant volatility, however, when I switch ...
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104 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. ...
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1answer
183 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 ...
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0answers
59 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 ...
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1answer
293 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 ...
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146 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?
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1answer
189 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 ...