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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5
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2answers
237 views

Algorithmical replication of a profit and loss function using different options

I often see questions like "Given this payoff graph (example below), construct a portfolio that replicates it." I want to know if there is an efficient method/algorithm to find the individual pieces ...
3
votes
2answers
119 views

Effect of interest rate on options prices

This might be another basic derivatives question. When interest rate rises, stock prices generally fall. Assuming an option's underlying is a stock, this should lower the option's price as well. ...
1
vote
1answer
181 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 ...
2
votes
0answers
168 views

Does Bakshi, Kapadia and Madan (2003) VIX building approach underestimate volatility?

From a paper that shortly addresses an alternative approach to VIX-like index building: To test this approach, I've built a fake book of B&S options with constant volatility equal to ...
0
votes
2answers
118 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, ...
1
vote
2answers
214 views

Risk management of options

Your client would like to buy a digital call option. the digital call option pays the buyer in one years time (i.e at maturity ) N=1m SGD, if the SGD USD spot rate at maturity is above a prescribed ...
1
vote
2answers
168 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 ...
1
vote
1answer
161 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) - ...
2
votes
3answers
173 views

Why are short expiries associated with more pronounced volatility skews?

I've noticed that for a given strike price, the shorter expiration dates of options have more pronounced volatilities why is that?
2
votes
1answer
283 views

How to replicate this option?

I have a question I am not sure how to approach: Suppose interest rates is 50%, a stock worth \$1 today can be worth \$2, \$1, \$0.5 next year. If the option that pays \$1 only when S = \$2 is ...
1
vote
3answers
228 views

Is it wrong to use 'real world' probabilities for option valuation?

Is it wrong to use 'real world' probabilities for option valuation, even when the market is not liquid enough to delta hedge the option? My instinct is that it is wrong, because the time value of ...
2
votes
2answers
166 views

Lower bound of ITM Calls when computing Implied Volatility

Assuming the Black Scholes model and pricing formula of a European call option. Then, if the call is ITM, i.e. if $ln(\frac{S}{K})>0$, the $d_1$-term will go towards infinity as $\sigma$ goes to ...
3
votes
3answers
341 views

Papers and algorithms on bidding schemes for best order execution?

I'm building an automated option trading bot that executes common options multi-leg strategies (straddles, spreads) and I want to learn the best way to execute my orders. As you know, the bid-ask ...
3
votes
1answer
256 views

what's the relationship between forecasted stock volatility and implied volatility?(option)

what's the relationship between forecasted stock volatility and implied volatility? I know that implied volatility is the volatility calculated by BS formula, is there any relationship between implied ...
1
vote
1answer
122 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. ...
1
vote
2answers
323 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 ...
2
votes
2answers
154 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
138 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 ...
1
vote
1answer
303 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
0answers
47 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 ...
5
votes
2answers
260 views

Pricing options under restricted domain

How would I price an option when the underlying security is unable to trade above a certain price? I assumed this would be as simple as restricting the limits of integration of the PDF to B (the ...
7
votes
1answer
277 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 ...
1
vote
1answer
95 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 ...
0
votes
2answers
168 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.
3
votes
1answer
831 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 ...
0
votes
0answers
120 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. ...
0
votes
1answer
190 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 ...
1
vote
1answer
255 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 ...
3
votes
0answers
98 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 ...
7
votes
2answers
247 views

Extrapolating implied volatilities to small time

Could anyone please direct me to literature or methods for extrapolating the implied volatility surface towards small expiry? I'm looking to price very short time to expiry binary options (e.g. 5 ...
1
vote
2answers
451 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. ...
1
vote
3answers
630 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
1answer
304 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 ...
2
votes
1answer
154 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
318 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
1answer
198 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
4answers
531 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 ...
0
votes
1answer
206 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? ...
7
votes
4answers
699 views

From Fourier Transforms to Option Values

I am trying to understand how Fourier transforms & Characteristics functions can be used to calculate option values. However, I am having difficulty following the process that is used in several ...
1
vote
1answer
171 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
1answer
519 views

IB API quotes and speed

The title says it all. I trade futures options exclusively and wanted to see if anyone had insight into the quote speedsrobustness coming into the API. I'm using the Excel DDE right now just building ...
1
vote
1answer
189 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 ...
2
votes
1answer
523 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 ...
2
votes
2answers
186 views

What is most reasonable approach to determine side of a multi-leg options order?

Say, 4-legged multi-leg options order with below leg ...
0
votes
1answer
120 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?
1
vote
1answer
493 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 ...
1
vote
0answers
78 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 ...
9
votes
3answers
1k 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?
0
votes
0answers
122 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. ...
1
vote
0answers
265 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: ...