3
votes
2answers
171 views

Lookback option explicit formula using Black Scholes

I would like to compute the time-0-price for a lookback option using Black Scholes formula, the explicit formula is given by ...
0
votes
1answer
188 views

Step-by-Step PCA algorithm (checking correctness without math packages)

I would appreciate if someone could correct me if i am wrong in my suggestion. I am using PCA to : find measure of cointegration between selected assets find the eigenvector and its portfolio with ...
1
vote
1answer
147 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
313 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 ...
0
votes
1answer
120 views

Disclosure of the liquidity provider identity in ITCH

If you look into the description of Nasdaq ITCH data, you see two types of order entries in the book: Message of Type A and F. Under type F, you will see the identity of the market participant (MPID). ...
2
votes
0answers
49 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 ...
6
votes
2answers
221 views

Co-integration constraints of coint(X,Z) given coint(X,Y) and coint(Y,Z)?

The Augmented Dickey-Fuller Test can be used to measure how well ranked certain pairs are against others for co-integration. So then say we have a known co-integration between ...
4
votes
1answer
185 views

Is Cubic spline Interpolation on swaption Volatility arbitrage free?

If I use interpolation technique such as cubic spline to estimate volatility of Swaption with different strike,(with a given forward rate, swap and option maturity) will this be arbitrage free? What ...
3
votes
1answer
253 views

a good book on option pricing from theoretical and practical aspect

This is the situation someone I know is in: She has good understandings of stochastic calculus and the very basics about black-scholes and binomial model, but nothing more. Her background is in ...
0
votes
2answers
56 views

SEC XBRL Context Dates

In SEC XBRL financial filings, why do the date ranges for duration contexts not match the context's quarter? e.g. The markup for the context "D2012Q3" may look like: ...
3
votes
0answers
171 views

How to compute greeks using the adjoint Monte Carlo approach?

Assume I have a stochastic ODE $$dS = a(S)dt + b(S)dW,$$ with Euler approximation $$\hat{S}_{n+1}=F_n(\hat{S}_n)=\hat{S}_n+a(\hat{S}_n)h+b(\hat{S}_n)Z_n\sqrt{h}.$$ This allows me to create sample ...
1
vote
1answer
201 views

Derivation of the Nelson-Siegel model and proof of arbitrage

1. I am looking for a derivation of the Nelson-Siegel model $y(m)=a+b\left( \frac{1-e^{-\lambda m}}{\lambda m}\right)+c\left( \frac{1-e^{-\lambda m}}{\lambda m} -e^{-\lambda m} \right)$ It is ...
5
votes
2answers
261 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
3answers
535 views

Why banks borrow from each other

I was reading on the topic, and would like to be sure that my understanding is correct. For the benchmark I would consider American banking system as I've mostly used sources such as FRS and Federal ...
3
votes
1answer
188 views

How to eliminate border effects on Wavelet denoising?

After reading a few references here to wavelets, I'm trying to denoise (or at least 'compress') a time-series of forex prices using a Daubechy04 wavelet (forward tranform, 8 most important (in ...
7
votes
1answer
279 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
182 views

Liquidity seeking algorithms open source implementation

Are there any free online liquidity seeking algorithms? Possible an open source implementation? Not looking for anything state-of-the-art, but just to get an idea how they work.
0
votes
1answer
243 views

Is there a difference between crossing network and ECN

Is there a difference between a crossing network and an ECN? The wikipedia page for Crossing Network says that ECN is a type of crossing network. But crossing network has the smell of a semi-legal ...
3
votes
1answer
316 views

Normality assumption in Sharpe ratio

I have read that the Sharpe ratio imposes a normality assumption, but I fail to see how. Standard deviation is statistic for any type of distribution. Anyone have any ideas?
0
votes
1answer
76 views

How does a cross trade pose a problem to the retail investor

How does a cross trade pose a disadvantage to the retail client. In this explanation It says: ...
0
votes
0answers
40 views

Rational expectation meaning

What does rational expectation (RE) mean in agent-based modeling context? What are the relationships between RE and expectation and outcome?
1
vote
1answer
70 views

Inferring signals in absence of sign of principal components (PCA)?

PCA seems to be very popular in dimension reduction applications and for extracting the top PCs which explain the data. One such application in futures is on the term structure to obtain the level, ...
3
votes
2answers
162 views

What nonparametric methods exist for estimating intraday seasonalities?

What nonparametric "Model Free" methods exist to measure intraday seasonality? I would like to estimate intraday seasonality in any of The volatility The traded volume The bid ask spread or ...
1
vote
0answers
59 views

Clarifying the way in counting number of weeks for calculating historical weekly volatility in Bloomberg

I would like to confirm the way to counting number of weeks for calculating historical weekly volatility in Bloomberg. Given an option with issue date from 14/1/2014 to 13/1/2019, is the proper way to ...
1
vote
0answers
73 views

Approximating the PDE price of an option with a binomial model

I'm trying to replicate, with a binomial model, the price of an option obtained with a PDE. It doesn't really work, so I was wondering, if there are some caveats when doing that. The PDE model use a ...
4
votes
1answer
348 views

Is there any open-source library, implementing “exchange” to be used for algorithms running on the same computer?

Question: Is there any open-source project/library, which can act as a "local exchange" for agents (algorithms), running on the same computer? Clarification: by "local exchange" I mean, that the ...
2
votes
2answers
255 views

Calculate Daily Returns for Sharpe Ratio

For the purposes of Sharpe ratio, I calculate a trading strategy's daily returns using realized P/L only: $$ \frac{K(t + 1) - K(t)}{K(t)}, $$ where $K(t)$ is the cash balance after market close on day ...
0
votes
1answer
123 views

Expected payoff and weighted average price

Settings Let you're trading a security whose probability to be equal to $S_{T}$ at time $T$ follows a p.d.f. like the ones in the picture below. (That is just an example found with Google images, ...
4
votes
2answers
338 views

Expected value of Black-Scholes

(Apologies for any formatting mistakes) Within the Black Scholes model, given that you are estimating the volatility from historical data - and all other parameters assumed exact - one usually ...
3
votes
3answers
310 views

Measuring historical earnings surprises, their frequency and severity

This is my first post to Quantitative Finance, so I hope my question is formatted the right way. I am starting to research the effects of earnings surprises on certain equity indices. Is there a ...
2
votes
0answers
114 views

What R-packages for SOCP problems are there?

Currently, I am looking deeper into the topic of second-order cone programming. Could you suggest packages that solve SOCP-problems in R? With your answer, please provide a short description of ...
7
votes
6answers
1k views

Book on market microstructure

Can I get some recommendations for a book on market microstructure? I'm not looking for some author's questionable methods for trading, I'm just looking for a book that provides me with facts about ...
0
votes
1answer
89 views

Where can I find monthly/weekly historical data for gold and silver [duplicate]

Preferably in monthly or weekly denomination, for at least 20 years. Preferably in Excel format, but csv, or other format is fine too. I try to google but couldn't find anything, maybe I just wasn't ...
2
votes
0answers
116 views

Correlation between idiosyncratic residuals and forward returns

The classic mean-reversion strategy is to calculate an "expected return" (alpha) by computing the raw return for each security and then remove the part which you think is market driven. Statistically ...
3
votes
0answers
52 views

FTAP in the model independent case, paper by Schachermayer

I have a question about the following paper by Beatrice Acciaio, Mathias Beiglböck, Friedrich Penkner, Walter Schachermayer. At the very beginning of the paper, on page 3, there are two definitions ...
1
vote
1answer
145 views

Penny jumping in the direction of the price

Reading through examples of legal front running, I'm struggling to understand how "penny jumping" (http://www.wikinvest.com/wiki/Front-running) can be profitable. Suppose stock ABC is trading at a ...
0
votes
1answer
261 views

How can I calculate the Cumulant-Generating Function in Matlab?

Let $M(h)$ be the moment-generating function, then the cumulant generating function is given by $$K(h)=\text{ln}M(h)=\\ =\kappa_1h+\frac{1}{2!}h^2\kappa_2+\frac{1}{3!}h^3\kappa_3+\ldots$$ where ...
0
votes
0answers
42 views

VIX Future risk modeling [duplicate]

I am very new to VIX futures and need to validate the risk model for these instruments. Could someone help me with how i can calculate the volatility on these instruments. Thanks.
1
vote
1answer
96 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
1answer
52 views

Under an EMM, does there necessarily exist a replicating portfolio?

In general, under an EMM, does there necessarily exist a replicating portfolio for every derivative? I believe the answer to this is false. A simple example is a discrete time, trinomial model. ...
0
votes
1answer
121 views

What is the realized volatility's estimation error?

Given an estimation procedure and real data, how would one compute the mean squared error? What value represents the "true" realized volatility in the case of calculating the Mean Squared Error in ...
2
votes
1answer
323 views

Do you know any data source for historical VWAP data?

I am looking for historical VWAP pricing data for north american equities. I haven't been able to find a free/cheap data source. Do you guys know of one ? Also, is there a way to proxy for an equities ...
4
votes
2answers
179 views

Multifractal Model, Generating Sample Paths with Correlations between Assets

I have studied option pricing using Geometric Brownian Motion to generate sample paths. Because of the normal distribution, it is easy to create a covariance matrix and get correlated asset returns. ...
1
vote
0answers
197 views

MonteCarlo simulation of stock prices using milstein scheme with dividend yield?

While performing a montecarlo simulation of stock prices using the milstein scheme is it possible to take into account the dividend yield into the simulation itself somehow, if we are given a ...
2
votes
0answers
87 views

A doubt about Evans and Jovanovic (1989) economic model for entrepreneurs with credit constraints

[I already posted this question on the math forum of stackexchange and I was advised that I should post this question here] In Evans and Jovanovic (1989) you will find a model for entrepreneurs with ...
1
vote
2answers
305 views

Optimizing Principal Component factor weightings over time

I was given the returns of a cross-asset class portfolio of ETFs and I conducted PCA to obtain factors on dates from T-n, T-3, T-2,..., T. What I would like to do is decompose the market moves from ...
1
vote
1answer
457 views

Lagged dependent variable, yes or no?

I read conflicting opinions about the inclusion of lagged dependent variables in modeling, and I guess it is partly up to the researcher and depending on the scope and goal of the research. I'm ...
2
votes
0answers
92 views

How to reproject rates risk on a subset of tenors

Is there a standard method (statistical or model based) to reproject rates risk obtained on a full set of tenors onto a smaller subset of tenors ? Let's imagine that I got a delta in the following ...
4
votes
0answers
156 views

How to become a registered market maker on an exchange [closed]

We are thinking of applying to become a registered market-maker on different European exchanges. The name varies from exchange to exchange (Liquidity provider on Euronext for instance). Could anybody ...
0
votes
0answers
55 views

Price variances on fixed income assets

New to the site. I am currently working on a project that involves analyzing two pricing sources (IDC and Markit) on fixed income assets (Corp, High Yield, Muni, and Structured). I am trying to ...

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