# All Questions

917 views

### How does UBS hedge its exposure to XVIX ETN?

I am wondering how UBS hedges its exposure to its ETN XVIX. Unless I am grossly overestimating the trading costs, executing the strategy they describe in their prospectus with futures would be quite ...
498 views

### How are prices calculated for commercial/residential mortgage-backed securities?

What is the theoretical/mathematical basis for the valuation of [C]MBS and other structured finance products? Is the methodology mostly consistent across different products?
1k views

### Topological methods in finance

Recently a promising start-up (Ayasdi) has made headlines. They are a spin-off of the Applied and Computational Algebraic Topology group of Stanford University (ComTop). What they basically do is ...
656 views

### Meta-view of different time-series similarity measures?

While I spend most of my StackExchange time on MathematicaSE, I'm in the business and follow the questions and answers on this site with great interest. Recently questions like the following (and ...
3k views

### Modelling with negative interest rates

For a project, I am interested to model the impact of recently negative interest bonds on the portfolio. The literature on modelling negative interest rates is limited, and the only theory I could ...
590 views

### Has any research used Bayesian networks to estimate risk factor betas?

Is there any published research on estimating the beta of a security with respect to one or more risk factors via Bayesian networks? I'd like to see if this is a promising angle of research.
2k views

### Is there a standard method for quantifying mean-reversion for use in directional trading?

Assuming a directional strategy (no pairs or spread trades) is there a "standard" method for quantifying mean-reversion? Should auto-correlation, variance ratios, hurst exponent, or some other measure ...
1k views

### Simulating Returns

I'll start this off with a rather broad question: I am trying to simulate returns of a large number of assets within a portfolio of different classes - equity and fixed income in a first step, say 100 ...
2k views

### Where to find Greeks for futures to form delta-hedged futures portfolio of S&P 500 index/futures

I can't find S&P 500 index (SPX) futures data with Greeks to create delta-hedged portfolios. Do these data exist? I have access to most of the common data sources. In the meantime, I am trying to ...
2k views

### Value-at-Risk of the sum of two dependent lognormal random variables

Hy I posted this question first at mathflow.net they suggested me this page, which I was not aware of. Question: Let $(X_1,X_2)$ be a multivariate normal random vector ($X_1$ and $X_2$ need not be ...
811 views

### Applicability of PCA to get historical volatilities to calibrate interest rates trees

My question in short is as follows: can I take main principal component of historical covariance matrix and use it as historical volatilities when fitting a binomial tree? Here's more detailed ...
2k views

### Is there an open source alternative to Reuters Kondor+?

Basically, I'm looking for a system which have trading(in a demo account), book keeping, profit/loss and risk calculation capability across different asset classes such as bond, repo, equity, foreign ...
920 views

### Any recommendations for textbooks for an undergraduate course in mathematical finance? [closed]

I'll teach an introductory course on mathematical finance in the near future. The course is intended to entertain and broaden some well-prepared advanced undergrad mathematics majors, some physics ...
532 views

### What time are Bloomberg Open Symbology Files updated daily?

Does anyone know what time the Bloomberg Open Symbology precanned files are updated every day? I am planning on upating my view of them at 9 AM EST every morning. Furthermore, will the files for ...
423 views

### Consistency of economic scenarios in nested stochastics simulation

I am interested in references on research regarding the consistency of economic scenarios in nested stochastics for risk measurement. Background: Pricing by Monte-Carlo: For pricing complex ...
2k views

### Where can I find a database of ALL ETFs, sorted by age?

I have a portfolio allocation strategy I want to backtest, but I need a large "universe" of ETFs for it to choose from at each time period. I was thinking of starting with a criteria such as "all ...
1k views

### How do I price OANDA box options?

How do I price OANDA box options without using their slow and machine-unfriendly user interface?: http://fxtrade.oanda.com (free demo account) sells "box options": If you already know what a ...
7k views

### What is a martingale?

What is a martingale and how it compares with a random walk in the context of the Efficient Market Hypothesis?
7k views

### Why does implied volatility show an inverse relation with strike price when examining option chains?

When looking at option chains, I often notice that the (broker calculated) implied volatility has an inverse relation to the strike price. This seems true both for calls and puts. As a current ...
963 views

### Keeping a track record honest

I want to start a blog/newsletter and maintain a track record of trades I recommend. I have a never-expiring demo account for this purpose. How do I keep this track record "honest"? Three months ...
1k views

### Hedging stocks with VIX futures

It seems that VIX futures could be a great hedge for a long-only stock portfolio since they rise when stocks fall. But how many VIX futures should I buy to hedge my portfolio, and which futures ...
3k views

### Why is the Drawdown measure not used for portfolio optimization?

I was asked yesterday by a colleague why we are doing asset allocation using optimizers which target, for a minimum expected return: the portfolio with the minimum variance or the portfolio with ...
588 views

### What benefits are there to employing agile software development methodologies for quants?

Perusing the other SE network sites, particularly Programmers, I often find vigorous support for various agile software development methodologies, particularly the various values known as Extreme ...
1k 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 ...
1k views

### How to detect regime change when estimating asset correlation from historical time series?

Suppose I have two asset time series, $X_t$ and $Y_t$, and I'm estimating their correlation from historical data. I'd like to apply some systematic criterion to estimate what time window I should use ...
2k views

### Is Conditional Value-at-Risk (CVaR) coherent?

When the risk is defined by a discrete random variable, is CVaR a coherent risk measure? I stick to the following definition of CVaR:  CVaR_\alpha(R) = \min_v \quad \left\{ v + \frac{1}{1-\alpha} ...
9k views

### Central Index Key (CIK) of all traded stocks

Is there a way by which I can get a list of CIK of all registered stocks at the SEC?
2k views

### How can I quantitatively test the validity of momentum indicators?

I am learning about quantitative finance, and I am struck by how different it is from the techniques that make it into magazines and TV, particularly technical analysis. Specifically, if they say an ...
2k views

### Order submission strategies of a rational market maker?

Consider a market maker that has decided to try to make a round-trip trade in stock A in order to capture the bid-ask spread. Assume furthermore that he has no current inventory in the stock A. To ...
550 views

### Transparent quant products with real track record

A real track record is better than backtesting! I am looking for products, funds, certificates, indices etc. that are based on quantitative trading strategies where the strategies and performance ...
3k views

### Has spectrum analysis ever been used successfully to analyse historical price data?

Spectrum analysis is often used to analyse waveforms. A common configuration, for example, is to create a graph where X is time, Y is frequency, and the brightness of each position represents ...
3k views

### Fundamental Theorem of Asset Pricing (FTAP)

In the spirit of canonical questions please state here versions of the FTAP in the following form (please only one theorem by answer) : Necessary definitions (or a direct link to definitions) ...
3k 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?
825 views

### Optimal execution strategy

Can someone shed some light on optimal ways to execute medium sized orders ~2000 shares in the market? Unfortunately the execution algo I have access to is very dumb. It follows the top-of-book ...
949 views

### Can you fully hedge an option in the presence of counterparty risk?

The derivation of the Black-Scholes model assumes no counterparty risk. Does the presence of counterparty risk invalidate the argument behind the model? EDIT: The question is about options in ...
1k views

### How can higher co-moments be applied to portfolio optimization in an asset allocation context?

Traditional portfolio optimization involves mean variance optimization, where only the mean and covariance matrix of returns are estimated. What asset allocation and portfolio optimization techniques ...
956 views

### better estimator of volatility for small samples

One commonly used sample estimator of volatility is the standard deviation of the log returns. It is indeed a very good estimator (unbiased, ...) when the sample is large. But I don't like it for ...
524 views

### What is a commonly accepted econometric model for volume?

What is the gold standard econometric model for volume? For example, a common model for price is the autoregressive (AR) model with GARCH(1,1) innovations. Do you know of any good survey articles ...
3k views

### How to interpolate gaps in a time series using closely related time series?

I am trying to construct a daily time series of prices and returns for some large universe of securities. However, all I have available are a monthly time series of the prices/returns (as well as ...
998 views

### What is the precision of standard deviation estimates with small samples?

I was asked today to "quantify" the precision of an estimated the standard deviation from a small sample, I was not sure how to answer. The case is quite simple, I have a sample of $n=25$ measures ...
3k views

### How do I calculate the skewness of a portfolio of assets?

I need to calculate the skewness of a portfolio consisting of 6 assets. I know that for that I would need the co-skewness matrix between the assets. Does anybody know the formula for co-skewness or ...
3k views

### How can one compute the Greeks on VIX Futures

I am guessing the short answer to this question is "use the chain rule and linearity of the derivative," but I am looking for more specific advice on how to compute the derivatives of a VIX futures ...
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 ...
432 views

### How does one measure the effect of latency on potential returns?

I am looking to evaluate the hypothetical advantage one trading system has over another in terms of the possible returns given their latency. Irene Aldridge wrote a piece (How Profitable Are ...
4k views

### What is an efficient data structure to model order book?

What is an efficient data structure to model order book of prices and quantities to ensure: constant look up iteration in order of prices retrieving best bid and ask in constant time fast quantity ...
1k views

### What is the relationship between risk aversion and preference for skewness and kurtosis in portfolio optimization?

Is there any relationship between the risk aversion coefficient in an individual's utility function (commonly used in portfolio optimization) and the preference for higher moments such as skewness and ...
3k views

### Skewness and Kurtosis under aggregation

Returns possess non-zero skewness and excess kurtosis. If these assets are temporally aggregated both will disappear due to the law of large numbers. To be exact, if we assume IID returns skewness ...
1k views

### How to detect structural breaks in variance?

I'm looking for a method to automatically detect structural breaks, I tried Chow test, It works good but it doens't work for breaks in variance. Do you know a test to check strucutural break in ...