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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4 views

Using FX ATM Volatility to Estimate Smile

Suppose $S$ is some FX rate, EUR/USD say, and $\sigma_{S}(K,T)$ is the implied volatility for some option written on $S$, sourced from the surface $\sigma_{S}(\cdot,\cdot)$ (alternatively, consider ...
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0answers
9 views

Variance replication using options

I would like to understand the intuition behind the following question: Why a certain weighted sum of prices of put and calls is equivalent to the implied variance of an underlying? A variance swap ...
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1answer
59 views

Mean reversion time estimation

I am new to mean reversion trading, and I would like to get some good references about how to estimate the time it takes to a mean reverting process to cross its long term mean.
2
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1answer
49 views

Black Scholes Model and Dividends

My question can be summarised as such: Consider a portfolio. Say it has a price $\Pi = x$. Portfolio consists of a stock and a sequence of call options underlying on the stock. It has been announced ...
6
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2answers
123 views

What's the point of discounting in risk-neutral pricing?

Let $\phi$ be a self-financing strategy that replicates a time $T$ option payoff $X$ on stock $S$. By definition of a trading strategy, $\phi$ is previsible. Finally, let $V_t$ be the time $t$ value ...
5
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2answers
321 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 ...
2
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1answer
55 views

Black Scholes Formula, drift term

In the formula, the stock return is modelled as a brownian motion that is a drift + a stochastic term, ok I get that. But the drift term is then modelled as r - volatility ^ 2 / 2. I am not sure how ...
9
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6answers
532 views

What is the fair price of this option?

Without having to use Black-Scholes, how do I price this option using a basic no-arbitrage argument? Question Assume zero interest rate and a stock with current price at \$$1$ that pays no dividend. ...
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1answer
105 views

negative probabilities in the bivariate tree heston model

I am trying to implement the bivariate tree approach for the Heston model by Beliavea & Nawalkha. I currently have the problem that given the specifications in their examples, I always obtain ...
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2answers
34 views

Is the Binomial Tree Model not self-financing?

Consider a 2-period binomial tree where the derivative price is $f$ and the stock price is $S$. Also, let the bond be deterministic with continuous growth rate $r$ and initial value $B_0$. binomial ...
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1answer
28 views

simple, intuitive barrier option derivation

Is there a simple integral that gives barrier option prices without having to deal with messy, hard PDEs and change of variables I understand there is a reflection principle such that the simulation ...
3
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1answer
75 views

Why must a replicating portfolio be self-financing?

If I have a trading strategy such that at each time $t$ I own $\Delta_t$ units of stock $S_t$ and $\psi_t$ units of bond $B_t$, it is a replicating strategy for some claim with time $T \geq t$ payoff ...
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1answer
62 views

Reuters RIC chain for Eurodollar midcurve options

Can someone please tell me what this is? Thanks. Edit: The RIC for the straight eurodollar options is 0#GE+, I need RICs for the 1,2,3,4 mid curve options which the IMM/IOM calls GE0, GE2, GE3, ...
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2answers
82 views

Estimate simple option price without a calculator

I have been to two different interviews for jobs related to option trading, and both time I have been asked a question, which is pretty basic, and still I could not answer it. If you have an European ...
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2answers
157 views

Breaking Down Option P&L

I am comparing the MTM valuations of two risk systems, with respect to FX Options. My Question is can I quantify the difference in MTMs given the following: System1: AUD/JPY, MTM = USD 461,000, ...
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1answer
41 views

Can not understand options pricing [closed]

As we are seeing here http://www.theoptionsguide.com/strike-price.aspx Relationship between Strike Price & Call Option Price Relationship between Strike Price & Put Option Price I do not ...
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1answer
32 views

Negative time value european options

I have a basic question for which I feel like I should have found the answer by googling it, but I didn't get a definitive answer, so here I am: Can the time value for a plain vanilla (European) ...
28
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8answers
2k views

Option pricing before Black-Scholes

According to the Wikipedia article, Contracts similar to options are believed to have been used since ancient times. In London, puts and "refusals" (calls) first became well-known trading ...
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2answers
152 views

Pricing a call when minimum stock price above strike with certainty

I am editing this question because it was originally unclear, and I didn't get the answers I was hoping for. In my finance book I have the following question T-bills currently yield 5.5 percent. ...
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0answers
54 views

Black-Scholes model [closed]

You take a short position in one European put option contract, with strike price 100 and maturity six months, on a stock that is trading at 100. The annual volatility of the stock is constant and ...
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0answers
34 views

Short volatility strategy using strangles

For a short volatility strategy using option strangles, is it better to target a fixed premium to earn? Or a fixed vega? Objective is to maximise the return/risk (sharpe) of the strategy. Any help ...
8
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2answers
535 views

What are important model and assumption-free no-arbitrage conditions in options trading?

In the paper "Why We Have Never Used the Black-Scholes-Merton Option Pricing Formula" (Espen Gaarder Haug, Nassim Nicholas Taleb) a couple of model-free arbitrage conditions are mentioned which limits ...
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0answers
49 views

Cointegration and variance of time series

Given that $X_t , Y_t$ are two cointegrated random processes, what can we say about the relationship between variance of the two increments $var(X_{t+h}-X_t)$ , $var(Y_{t+h}-Y_t)$ for a given ...
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2answers
128 views

Intuitive Reasoning for Using Risk-Neutral Measure

Although we thoroughly covered risk-neutral pricing in university I never fully understood it in the context of continuous-time processes. But first of all, lets consider a discrete time example: ...
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1answer
184 views

Market data for options

Looking for recommendations on places to get market data for options. I'm looking at NYSE and NASDAQ only. My current solution is my broker, Tradeking. I can request realtime data for 700 option ...
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3answers
543 views

On the interface between Quant finance and actuarial-science/insurance-math

Actuaries (at least in Europe) are frequently severily lacking in quant finance topics. At best they are familiar with B&S model. People going into quant finane or striving to become a quant on ...
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0answers
63 views

Black Scholes Model Replicating Strategy Delta Hedged Exam Question

A share is currently priced at 640p. A writer of 100,000 units of a one year European put option with an exercise price of 630p has delta-hedged the option with a portfolio which holds cash and is ...
2
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1answer
57 views

Pricing digital options in discrete time

I am stuck in this exercise from my textbook: Consider a one-period market model with $N+1$ assets: a bond, a stock and $N-1$ call options. The prices of the bond are $B_0=1$ and $B_1 = 1+r$, ...
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1answer
47 views

Buying OTM puts and then selling stock

What is to stop someone from first buying a bunch of OTM puts and then selling short enough stock to make the puts go up high enough to make a profit? Or conversely, buying OTM calls and then buying a ...
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2answers
175 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 ...
2
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0answers
45 views

Modeling market sentiment and pricing options by volume, open interest

Are there any empirically-proven methods/formulas for weighting IV surfaces, pricing a discount/premium in an option, and/or adjusting any of the 1st- or 2nd-order Greeks for the magnitude (volume or ...
2
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1answer
50 views

Solving a Non-Linear PDE using a Finite Difference Scheme

I have the following non-linear PDE and I have no idea how to go about solving it using a finite difference scheme in Python. Can someone get me started and/or point me to an algorithm for doing this? ...
3
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1answer
100 views

Covariance structure of call option surface

Assume the observed call option prices $C(K_i,T_i)$ for $i = 1,\dots,N$ are disturbed by some unknown measurement noise $\epsilon$. What would an appropriate covariance structure be for $\epsilon$? ...
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0answers
38 views

Binomial function use in Bezier smoothing

I am using the Bezier method to smooth option volatility curves, which utilised the binomial distribution. Is someone able to clearly explain the interpretation of the binomial distribution in the ...
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0answers
43 views

variance ratio for pair-trading

I am using the variance ratio test to check whether my sequence is mean reverting in that test there is a parameter n, How in general I choose this n? or what is the meaning of this parameter? ...
0
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1answer
50 views

asian option – exotic option – real data, authentic examples?

I would be pleased if any of You can give me the real example of an asian option (or other exotic option) that is being traded or that is offered by some institution. I have been searching the whole ...
3
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6answers
296 views

Why the expected return rate of a stock has nothing to do with its option price?

OK, I admit that this is a frequently asked question. But I couldn't find a satisfying answer after I read the explanations of books, went through the derivations of B-S formula, and searched answers ...
7
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4answers
608 views

Replicating portfolio and risk-neutral pricing for interest rate options

For equity options, the pricing of options depends on the existence of a replicating portfolio, so you can price the option as the constituents of that replicating portfolio. However, I am not seeing ...
3
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1answer
127 views

The meaning of Ornstein-Uhlenbeck parameters

I am trying to understand theOrnstein-Uhlenbeck process $dX_t = \kappa(\theta-X_t)dt + \sigma dW_t$ my question is what is the meaning of the parameters? and assuming that we know those parameters ...
23
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5answers
15k views

What are some useful approximations to the Black-Scholes formula?

Let the Black-Scholes formula be defined as the function $f(S, X, T, r, v)$. I'm curious about functions that are computationally simpler than the Black-Scholes that yields results that approximate ...
3
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1answer
154 views

US options market/microstruture research

Can someone point out where to find up to date market/microstruture research in the options market?
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1answer
42 views

Good book about replicating portfolios

I want to know if anybody can suggest me a good textbook which explains in detail and in an understandable way how to create replicating portfolios of financial instruments like options "cash or ...
2
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2answers
93 views

Braess's paradox in quantitative finance: When optionality leads to lower value…?

One of the standard tenets of quantitative finance is that options should have an intrinsic value because optionality as such (in the sense of having more choices) should bring about value. This ...
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1answer
52 views

Binomial tree vs trinomial tree in pricing options

Very new to pricing models. Is there a general guideline when to use binomial tree and when trinomial tree is preferred? As far as I know, unlike binomial tree, trinomial tree only gives a range ...
3
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2answers
123 views

Time-independent local volatility

Suppose somebody provides us with a surface of European call prices $C(\tau,K)$ where $\tau$ stands for time-to-maturity and $K$ for the strike. By Dupire's results, there is a unique local volatility ...
2
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2answers
165 views

Is implied volatility flawed?

Was going through how Implied Volatility is used by option traders and in delta hedging. Correct me if I am wrong, doesn't IV consider a standard deviation of the stock price over say the past 1 year? ...
7
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2answers
2k views

Are there comprehensive analyses of theta decay in weekly options?

Are there comprehensive analyses of how much theta a weekly options loses in a day, per day? I know what the shape of theta decay looks like, in theory, where the decay towards zero happens more ...
3
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2answers
128 views

What is the use of options pricing formulas

This may seem like a dumb question, but if the EMH is generally true, wouldn't options already be correctly priced? Why do we need all these intricate formulas, unless we think the prices are wrong or ...
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0answers
16 views

Principal Protected Notes

I have a few questions on the structuring of principal protected notes. Let's say that the note has a call option on the S&P500 so that it has the following payoff at maturity: $PPN_T=100\% + A ...
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1answer
52 views

Symbols for options on gold futures

I have a historical data set containing only options on gold futures. If I print out a unique list of option symbols I get: ...