2
votes
1answer
2k views

Baye's rule for conditional expectations (Proof review)

The Baye's rule for conditional expectations states $$ E^Q[X|\mathcal{F}]E^P[f|\mathcal{F}]=E^P[Xf|\mathcal{F}] $$ With $f=dQ/dP$ - thus being the Radon-Nikodyn derivative and $X$ being ...
8
votes
3answers
2k views

How does Cornish-Fisher VaR (aka modified VaR) scale with time?

I am thinking about the time-scaling of Cornish-Fisher VaR (see e.g. page 130 here for the formula). It involves the skewness and the excess-kurtosis of returns. The formula is clear and well ...
4
votes
2answers
593 views

Average correlation of index/portfolio

We try to analyze the average correlation of a portfolio as it can be found here in section 2 b), the same formula which is also used by the CBOE to calculate implied correlations: $$ \rho_{av(2)} = ...
2
votes
1answer
172 views

Extended Hull White Interest Rate Model for Zero Coupon Bond

Please taking the following SDE dr = u (r; t) dt + w (r; t) dX: u (r; t) = a(t)-br; w (r; t) = c; b&c are constants and a(t) arbitrary function of time. If Zero Coupon Bond Z (r; T; T) = 1 ...
0
votes
1answer
116 views

Price of call/put is convex in $K$ (strike price)

Let $\lambda\in(0,1)$. Then $$C(T, \lambda K_1 + (1 - \lambda)K_2, S, t) \leq \lambda C(T, K_1, S, t) + (1 - \lambda)C(T, K_2, S, t)$$ $T$ - the maturity $K_1$,$K_2$ - Strike prices $S$ - stock ...
78
votes
10answers
86k views

How can I go about applying machine learning algorithms to stock markets?

I am not very sure, if this question fits in here. I have recently begun, reading and learning about machine learning. Can someone throw some light onto how to go about it or rather can anyone share ...
73
votes
15answers
12k views

Video lectures and presentations on quantitative finance

What are your favourite video lectures, presentations and talks available online? A few rules: Must be related to quantitative finance. No Economics 101 courses, please. Try to avoid DIY lectures ...
32
votes
9answers
8k views

Recommendations for books to understand the math in quantitative finance papers?

Can anyone recommend books that explain the math used in quantitative finance academic papers?
31
votes
3answers
3k views

What papers have progressed the field of quantitative finance in recent years (post 2000)?

My question is pretty simple: what papers do you feel are foundational to quantitative finance? I'm compiling a personal reading list already, drawn from Wilmott forums, papers referenced in ...
25
votes
8answers
4k views

Excellent information source on advanced machine learning / data mining based trading?

I did check the related posts, like this one here. However, given if one already has knowledge in finance, machine learning and statistics, and wants to know something more advanced on machine ...
18
votes
8answers
9k views

How are cryptography and speech recognition technology applied to forecasting financial markets?

One of the answers to my previous question regarding the strategy of Renaissance Technologies, there was a reference to The Quants: How a New Breed of Math Whizzes Conquered Wall Street and Nearly ...
27
votes
11answers
4k views

Separating the wheat from the chaff: What quant methods separate skillful managers from lucky ones?

Fund managers are acting in a highly stochastic environment. What methods do you know to systematically separate skillful fund managers from those that were just lucky? Every idea, reference, paper ...
22
votes
3answers
3k views

How do you mix quantitative asset allocation with qualitative views?

Usually in asset allocation you have a quantitative approach (which can be from example mean-variance), but you (or you and your firm) also have a more qualitative approach given market-conditions, ...
32
votes
6answers
4k views

What are the popular methodologies to minimize data snooping?

Are there common procedures prior or posterior backtesting to ensure that a quantitative trading strategy has real predictive power and is not just one of the thing that has worked in the past by pure ...
32
votes
12answers
16k views

Why does the minimum variance portfolio provide good returns?

I've been a researching minimum variance portfolios (from this link) and find that by building MVPs adding constraints on portfolio weights and a few other tweaks to the methods outlined I get ...
32
votes
9answers
6k views

How 'High' is the frequency in HFT?

How many trades per second are we talking about? What kind of strategies are used in this time frame? Can the small guy play the game?
27
votes
5answers
3k views

Random matrix theory (RMT) in finance

The new kid on the block in finance seems to be random matrix theory. Although RMT as a theory is not so new (about 50 years) and was first used in quantum mechanics it being used in finance is a ...
20
votes
8answers
7k views

What tools exist for order book analysis and visualization?

What tools exist for order book analysis and visualization? In particular, if one wanted to examine a limit order book and understand how it changes throughout the day where would you turn for ...
22
votes
1answer
2k views

How do different methods and techniques used in pairs trading compare?

I was going through the paper of Avellaneda (2008) on stat arb and I found it interesting that he uses asset returns vs. their respective ETFs to compute the s-score. I am wondering if anyone has ...
20
votes
8answers
11k views

What is the best data structure/implementation for representing a time series?

I was wondering what is best practice for representing elements in a time series, especially with large amounts of data. The focus/context is in a back testing engine and comparing multiple series. ...
15
votes
1answer
5k views

Which approach to estimating fundamental factor models is better, cross-sectional (unobservable) factors or time-series (observable) factors?

There are many approaches to estimating fundamental factor equity models. I would like to focus on two traditional methods: The time-series regression approach of Fama and French. Factors are ...
10
votes
1answer
1k views

academic papers about market making

I am looking for academic articles which model the p&L of market makers. I have read the Ho-Stoll (1984) article. Is there any recent article on this subject?
33
votes
9answers
2k views

Are there any new Option pricing models?

Back in the mid 90's I used the Black-Scholes Model and the Cox-Ross-Rubenstein (Binomial) Model's to price Options. That was nearly 15 years ago and I was wondering if there are any new models being ...
17
votes
5answers
6k views

Implementing data-structures in a Limit order book

I'm working on implementing a 'LOB' and I'm being very careful about choosing my data-structures so as to maximize performance. Using F# as an example, I need to consider a List versus Array for ...
15
votes
7answers
11k views

Switching from Matlab to Python for Quant Trading and Research

Has anybody else out there made this switch? I'm considering it right now. What were the negatives and positives of the switch?
16
votes
6answers
11k views

Is Scala used in trading systems

I'm curious about high performance computing and consider algo/program trading as an interesting source of information about what are performant technologies that are used to trade the markets. Is ...
24
votes
5answers
4k views

Trading a synthetic replication of the VIX index

One cannot directly buy and sell the VIX index. Theoretically, however, one could approximate the index by purchasing an at-the-money straddle on the SP500, then delta-hedging the straddle. Does ...
16
votes
9answers
7k views

Why Drifts are not in the Black Scholes Formula

This question has puzzled me for a while. We all know geometric brownian motions have drifts $\mu$: $dS / S = \mu dt + \sigma dW$ and different stocks have different drifts of $\mu$. Why would ...
14
votes
4answers
2k views

What books should any quantitative portfolio manager or risk manager have as reference? [closed]

I'm interested to know what are the critical reference texts you rely on for portfolio or risk management? I mean those texts that you come back to because they are chock full of insight and know-how. ...
14
votes
7answers
2k views

Looking for a recommendation for a real life volatily trading book.

Recently I started working in an algotrading company as a programmer. After I studied that subject a little in the university and read a book or two in that field I gained a little knowledge in that ...
12
votes
3answers
4k views

How do I find the most diversified portfolio, or least correlated subset, of stocks?

I have a trading system that chooses top 10 stocks in Nasdaq 100 ranked on relative strength and some other factors. However, I'd like to take positions in only 5 of these 10 stocks based on how ...
21
votes
3answers
2k views

Tools in R for estimating time-varying copulas?

Are there libraries in R for estimating time-varying joint distributions via copulas? Hedibert Lopes has an excellent paper on the topic here. I know there is an existing packaged called copula but ...
11
votes
3answers
2k views

How to generate synthetic FX data for backtesting?

I want to generate synthetic forex data for the purpose of backtesting my trading algorithms. I have some rough ideas in mind on how to do this: Start with a curve representing a trend, then randomly ...
16
votes
5answers
3k views

Should Sharpe ratio be computed using log returns or relative returns?

I am trying to reconcile some research with some published values of 'Sharpe ratio', and would like to know the 'standard' method for computing the same: Based on daily returns? Monthly? Weekly? ...
14
votes
3answers
5k views

Is there an all Java options-pricing library (preferably open source) besides jquantlib?

I am looking for an all-java implementation of black scholes, preferably open source. I found jquantlib and quantlib (C++). Any other recommendations? The jquantlib site seems to be down. I'd prefer ...
10
votes
2answers
20k views

What is the Swap Curve?

What is the so-called Swap Curve, and how does it relate to the Zero Curve (or spot yield curve)? Does it only refer to a curve of swap rates versus maturities found in the market? Or is it a swap ...
17
votes
2answers
3k views

Do you have historical tick data you want to donate?

Do you have historical market/pricing ticket data that you would like to donate to the Open Source Trader project (OST)?? Please: upload your files! Once we gather some data, we'll do our best to ...
14
votes
2answers
1k views

When should you build your own equity risk model?

Commercial risk models (e.g., Barra, Axioma, Barclays, Northfield) have evolved to a very high level of sophistication. However, all of these models attempt to solve a very broad set of problems. ...
13
votes
3answers
2k views

How do strategies deal with corporate actions?

There are many corporate actions that will affect the stock price, like dividend, stock split and rights. Given a large series of historical price data, how do we adjust the data to filter out the ...
12
votes
3answers
2k views

What is the ideal ratio of in-sample length to out-of-sample length?

Suppose you are running a portfolio of quantitative strategies and that you develop a new potential strategy to be added to the mix. Assume for simplicity that the new strategy is independent of the ...
9
votes
1answer
1k views

Forward Adjusting Stock Prices?

How should one correctly forward adjust historical prices given a time series of Open, High, Low, Close, Return? Suppose that the data series is given below ('1' is the oldest interval; '5' is the ...
9
votes
1answer
4k views

Multilayer Perceptron (Neural Network) for Time Series Prediction

I have it in mind to build a Multilayer Perceptron for predicting financial time series. I understand the algorithm concepts (linear combiner, activation function, etc). But while trying to build the ...
9
votes
1answer
719 views

One dimensional analog of cleansing a correlation matrix via random matrix theory

The general idea of cleansing a correlation matrix via random matrix theory is to compare its eigenvalues to that of a random one to see which parts of it are beyond normal randomness. These are then ...
11
votes
1answer
1k views

So many volatility models. Any comparisons of them?

Are there any papers that make an explicit contrast/comparison of the following (or other) vol models in terms of the suitability for addressing some empirical problem? Wavelet multiresolution ...
10
votes
2answers
3k views

Equity Risk Model Using PCA

I'm trying to build a simple risk model for stocks using PCA. I've noticed that when my dimensions are larger than the number of observations (for example 1000 stocks but only 250 days of returns), ...
9
votes
4answers
20k views

How to fit ARMA+GARCH Model In R?

I am currently working on ARMA+GARCH model using R. I am looking out for example which explain step by step explanation for fitting this model in R. I have time series which is stationary and I am ...
7
votes
3answers
10k views

Are public historical time series available for ratings of sovereign debt?

The nice list of free online data sources Data sources online does not mention any data from ratings agencies. Are historical time series available for sovereign credit ratings (other than as ...
16
votes
2answers
3k views

What type of analysis is appropriate for assessing the performance time-series forecasts?

When using time-series analysis to forecast some type of value, what types of error analysis are worth considering when trying to determine which models are appropriate. One of the big issues that ...
15
votes
3answers
15k views

Correlation between prices or returns?

If you are interested in determining whether there is a correlation between the Federal Reserve Balance Sheet and PPI, would you calculate the correlation between values (prices) or period-to-period ...
13
votes
2answers
1k views

Is there a popular curve fitting formula of options skew vs strike price or vs Delta?

I was trying to build a options trading/optimization system. But it often gets more inaccurate as it scans through the far from ATM options because, you know, options skews. That is because I did ...

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