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10
votes
4answers
8k views

Ways of treating time in the BS formula

The Black-scholes formula typically has time as $\sqrt{T-t}$ or some such. My questions: What is the granularity of this? If we treat $t$ as the number of days, then logically on the day of expiry, ...
4
votes
2answers
866 views

Does put-call parity hold for a compound option with underlying American option?

Say there is an American put option that expires $N$ months from today. A call-on-put (CoP) option provides the owner the right to buy the American put option in exactly $M < N$ months (but no ...
5
votes
2answers
1k views

A few questions about signs of the Greek letters

Rho is the partial derivative of the value of call option, $C$, w.r.t the riskfree interest rate $r$: $$\rho \equiv \frac{\partial C}{\partial r}$$ In the standard B-S formula this term is positive, ...
7
votes
1answer
475 views

Are there any well known methods of testing through-the-cycle rating systems?

Rating systems, as defined by the Basel II Accord, can be classified into two broad types - through-the-cycle (TTC) or point-in-time (PIT) - and the probability of default predicted by such a system ...
3
votes
1answer
283 views

what is a typical way forex brokerages can provide cheap leverage for their customers?

I'm not very well read in the area of high finance but I'm curious how forex brokerages are able to provide the backing for leverage that they can provide to customers. Is it possible to do this ...
2
votes
1answer
2k views

How to build an execution trading system with CQG API?

I am currently using CQG for spread trading and have a spread trading strategy in CQG chart. I am trying to automate my spread trading strategy in CQG, but CQG told me to look at CQG API samples to ...
5
votes
1answer
221 views

Parameter estimation using martingale measures - include real world data?

Please note: I posted this in nuclearphynance first, but didn't get any replies. For desks which sell exotics it is common practice (as far as I know it) to calibrate the model (Stochastic Volatility,...
4
votes
2answers
1k views

What is the minimum history data size to get an accurate EMA/ MACD for latest history point

Currently, I have history data for 10 years. Most of the time, I only interested in getting EMA/ MACD for the last history point (means yesterday point). Instead of using entire 10 years history, I ...
14
votes
2answers
994 views

Are there any tools or useful algos for identifying corner portfolios?

Let's say I am performing mean-variance optimization subject to some weight constraints. I'd like to identify the set of corner portfolios so that I can interpolate the entire efficient frontier. A ...
5
votes
1answer
3k views

C++ training from scratch to quantitative trading? [closed]

I have been trading for decades, and I have a solid knowledge of technical analysis but also VB as professional programmer. I would like to start learning C++ from scratch, then specialised in C++ ...
7
votes
1answer
878 views

looking for regulations regarding stock symbol reuse in the US

in june 2009, GM has filed for bankruptcy. trading has moved from NYSE to OTC pink sheets, and the symbol changed to GMGMQ and later to MTLQQ. in november 2010 a new GM symbol started trading on NYSE. ...
8
votes
5answers
4k views

Is there a charting API which allows to replicate Bloomberg chart tool features?

I believe that most of us will agree that being able to compute values is only part of our job, as we would also like to be able to display them nicely in order to better understand or help co-workers/...
38
votes
15answers
37k views

Is there any thing out there as a substitute for KDB?

thanks a lot for your discussions on the original post. following your suggestions, let me re-phrase a bit : kdb is known for its efficiency, and such efficiency comes at a terrible price. However, ...
15
votes
3answers
879 views

What are some research articles on using principle components to generate alpha?

Here's an example by Marco Avellenada from NYU titled "Statistical Arbitrage in the U.S. Equities Market". The idea of this paper involves capturing mean reversion in the residual returns of a ...
6
votes
0answers
217 views

How companies choose earnings release dates, & effect on Implied Volatility

A company's earnings release date significantly affects weekly or monthly option prices/implied volatility. For companies that typically release earnings on the cusp of monthly options expiration, ...
5
votes
1answer
389 views

Inferring highest bid and lowest ask from forex trade data

I have historical trade data for every trade on a forex exchange, whcih includes the following data: Time the trade was made Amount, in currency A Price, in currency B I have also used this to ...
4
votes
2answers
251 views

If the distribution of returns in symmetric, why not use a coin toss, small risk & high reward?

If the distribution of returns is symmetric then why not use a coin toss to decide whether to buy or sell Calculate the average velocity of the market (ATR - in technical analysis) Place a stop loss ...
7
votes
2answers
2k views

Constructing an approximation of the S&P 500 volatility smile with publicly available data

Besides of the VIX there is another vol datum publicly available for the S&P 500: the SKEW. Do you know a procedure with which one can extrapolate other implied vols of the S&P 500 smile with ...
7
votes
1answer
221 views

what are the most common explanations of the January effect?

The "january effect" is one of the most widely recognized market anomalies. In a nutshell, it refers to the empirical observation that January appears to have systematically higher returns than other ...
5
votes
0answers
154 views

Are there canonical test cases for testing of pricing engines

Short intro: We are developing pricing engines for the calculation of market risk in a Solvency II solution, including bonds, callable bonds, cds, options, futures and so on. Are there any canonical ...
8
votes
4answers
1k views

How to optimize a portfolio under *both* maximum diversity ratio and minimum variance

I have a follow-on question to questions that appeared here and was not sure if the right way was to ask in the comments or post a new question. My question is: how can I optimize a portfolio to suit ...
8
votes
3answers
530 views

Means of inferring trading algorithms from competition trade data

I'm analyzing trades from several participants in a trading competition, and I was wondering - are there known mechanisms for analysis and inference of the logic in a set of trades done by one ...
7
votes
2answers
237 views

How many data points are required to perform a fitting of GPD?

A friend of mine told me that their firm is using Extreme Value Theory (EVT) to compute value of the Expected Shortfall 99% of a portfolio for their asset allocation process. To do so, they try to fit ...
3
votes
1answer
355 views

Creating a financial market

Let's say I wanted to create my own financial market where people could buy with real money shares in a real physical product such as, for example, a rock band. If the value of the rock band goes up, ...
12
votes
4answers
1k views

What is the impact of high-frequency trading on market depth, liquidity, and volatility?

On the surface, bid-ask spreads are far more narrow than even several years ago. However, during periods of financial stress liquidity seems to vanish. Also, the increasing amount of fragmentation (...
8
votes
4answers
16k views

How to construct a Risk-Parity portfolio?

If I would like to construct a fully invested long-only portfolio with two asset classes (Bonds $B$ and Stocks $S$) based on the concept of risk-parity. The weights $W$ of my portfolio would then be ...
3
votes
1answer
697 views

Reduce correlation in output of Minimum Variance Portfolio Optimization

After running a minimum variance portfolio optimization on a universe of ETF's I see the resulting portfolios tend to be composed of bond ETF or related treasuries/government ETFs. I suppose that ...
4
votes
2answers
1k views

Financial Mathematics - Martingales example

Was hoping somebody could help me with the following question. Prove that under the risk-neutral probability $\tilde{\mathsf P}$ the stock and the bank account have the same average rate of growth. ...
3
votes
3answers
1k views

How to choose a data center for deploying high frequency trading strategies?

We are in the process of selecting the data center for deploying our high frequency strategies. Does anyone has some questionnaire that can be used to figure out that what type of infrastructure (...
5
votes
2answers
371 views

Can we explain physical similarities between Black Scholes PDE and the Mass Balance PDE (e.g. Advection-Diffusion equation)?

Both the Black-Scholes PDE and the Mass/Material Balance PDE have similar mathematical form of the PDE which is evident from the fact that on change of variables from Black-Scholes PDE we derive the ...
4
votes
2answers
440 views

central limit theorem and VAR

If I have a lot of data points and number of different dependent variables, can I use central limit theorem to assume data is multivariate normal and compute my VAR? Is this the appropriate use of ...
3
votes
1answer
971 views

a simpler test for normality given skewness, kurtosis and autocorrelation and size of time series

I typically do a JB (Jarque Bera) test and DW (Durbin Watson) tests for check for normality given skewness, kurtosis and autocorrelation of the data. However this requires a CHI distribution table ...
8
votes
1answer
517 views

NASDAQ TotalView ITCH order reference number number characteristics

I am building a custom hash implementation for storing NASDAQ ITCH order messages. Obviously this is keyed on the order reference number and I am wondering if these numbers are sequential, random or ...
12
votes
5answers
3k views

Time series of PCA - Sign change in factor loadings

I have a time series of data that is 300 days long. I compute PCA factor loadings on a moving window of 30 days. There are 7 stocks in the universe. Thus factors F1 through F7 are calculated on each ...
9
votes
1answer
2k views

Optimizing a portfolio of ETFs

I am aware of how to do mean-variance or minimum-variance portfolio optimization with constraints like weights must add to 1.0 no short sells max weight in any ticker using basic quadratic ...
4
votes
1answer
297 views

Eurodollar Options Stike Price > 100 bps

Looking at Eurodollar IR options market data coming down from CME, I can see a whole host of options where the strike is > 100 bps. My understanding in this case is that puts will always be in the ...
10
votes
6answers
11k views

Historical Level 2 Data (Market Depth)

I'm currently looking to hone a system using market depth however I am looking for a good source of historical level 2 data. As of right now the best source of historical I have found is automated ...
8
votes
2answers
391 views

How to think about pricing this weather call option

So as opposed to the normal structure using a reference temperature and HDD/CDD, I'm looking at pricing a call option with a structure similar to the following: Daily option on maximum daily ...
1
vote
1answer
189 views

How do I check whether OAS value is correct?

How do I check whether the Option-adjust spread value I have retrieved from external calc utility is correct? Can you please tell me the steps to verify this?
4
votes
1answer
3k views

What does leverage cost?

Let's say I've developed a strategy that always outperforms the S&P-500, let call it the "magic strategy". Now I should be golden. All I need is to always have the S&P shorted with the same ...
8
votes
2answers
2k views

Non-SQL methods for high-frequency accounting?

Does anyone know of any prior art for non-SQL data structures for high-frequency accounting, whether client, broker, or exchange-side? I'm thinking specifically of the problem of booking individual ...
14
votes
0answers
535 views

Can we use White's reality check to compare two Sharpe ratios?

I read a paper from Ledoit and Wolf that proposes a method to compare two Sharpe ratios and a paper from White that proposes a method to compare $n$ trading rules. My question is: Can we use White's ...
2
votes
0answers
96 views

how to identify similar assets based only on a few price samples

Using quantitative finances techniques on limited information, how might one go about finding similar(highly correlated) assets whose public information is available? The only data offered on a list ...
9
votes
3answers
591 views

Is it possible to demonstrate that one pricing model is better than another?

Take the classic GBM (geometric Brownian motion) model for equities as an example: ds = mu * S * dt + sigma * S * dW. It is the basis for the classic Black-...
3
votes
1answer
165 views

Assumptions based on non-martingale?

Quantitative finance formular are mostly based on martingales, Poisson jump, GBM, CEV, etc.. The logic behind it is that martingale means the future could not be predicted, or, EMH (Efficient-market ...
8
votes
3answers
415 views

age-sensitive correlation measurements in finances

When it comes to comparing returns or prices of instruments like stocks/ETFs, are there any well-established formulas, or ones in common use, that place stronger emphasis on recent correlations more ...
5
votes
1answer
10k views

Where can I find some examples of high frequency or stat arb trading algorithms beyond basic textbook pairs trading?

In particular, http://en.wikipedia.org/wiki/Algorithmic_trading#Algorithms has several name algorithms. I understand most HFT algorithms are proprietary but I am looking for examples of HFT ...
4
votes
4answers
790 views

portfolio diversification tester

Are there any online tools (optionally with developer API, to spare me the scraping) that given an existing portfolio, calculate how well a new candidate position would score to increase combined ...
8
votes
1answer
307 views

What are some quantitative ways to obtain the view confidences in Idzorek's version of Black-Litterman?

I'm using Idzorek's version of the Black-Litterman model for estimating asset returns. Idzorek's version bypasses the need to estimate directly the covariance matrix $\Omega$ of errors in the various ...
4
votes
2answers
258 views

Market order quantity greater than quantity of the inside quote at the exchange

If I send a market order to an exchange with quantity greater than the quantity of the inside quote at this exchange, and if another exchange has quantity to fill the residual portion at NBBO, will my ...

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