13
votes
2answers
953 views

Why isn't the Nelson-Siegel model arbitrage-free?

Assume $X_t$ is a multivariate Ornstein-Uhlenbeck process, i.e. $$dX_t=\sigma dB_t-AX_tdt$$ and the spot interest rate evolves by the following equation: $$r_t=a+b\cdot X_t.$$ After solving for $X_t$ ...
13
votes
1answer
404 views

What should be considered when selecting a windowing function when smoothing a time series?

If one wants to smooth a time series using a window function such as Hanning, Hamming, Blackman etc. what are the considerations for favouring any one window over another?
13
votes
0answers
605 views

Law of an integrated CIR Process as sum of Independent Random Variables

It is known (see for example Joshi-Chan "Fast and Accureate Long Stepping Simulation of the Heston SV Model" available at SSRN) that for a CIR process defined as : $$dY_t= \kappa(\theta -Y_t)dt+ ...
12
votes
6answers
2k views

Why does the VIX index have *any* correlation to the market?

It appears that the log 'returns' of the VIX index have a (negative) correlation to the log 'returns' of e.g. the S&P 500 index. The r-squared is on the order of 0.7. I thought VIX was supposed to ...
12
votes
5answers
3k views

What exactly is meant by “microstructure noise”?

I see that term tossed around a lot, in articles relating to HFT, and ultra high frequency data. It says at higher frequencies, smaller intervals, microstructure noise is very dominant. What is ...
12
votes
5answers
1k views

How to optimally allocate capital among trading strategies?

I'm trying to find an optimal way to allocate capital among trading strategies. "Quantitative Trading" by Ernie Chan claims on page 97 that the optimal fraction of capital to allocate to a given ...
12
votes
4answers
1k views

HFT: What is the big differentiator in comparison to other time scales?

High Frequency Trading (HFT) seems to be the big money making mystery machine these days. The purported source of unlimited floods of gelt pouring into the investment shops using it. For me, HFT is ...
12
votes
5answers
1k views

is beta of a portfolio always meaningful?

Consider the following strategies: a stat arb strategy with no overnight exposure, but significant market exposure intraday. a market timing model which is always long or short the market. etc is ...
12
votes
6answers
20k views

How to check if a timeseries is stationary?

I'm using KPSS Method to check if the series is stationary, but I would also like to use another test to confirm if the series is stationary or not, what method coudl I use?
12
votes
3answers
1k views

How to incorporate technical indicators into neural networks?

I plan to develop a neural network to trade commodities futures, but while messing around with some code, a question came up. If I understand correctly, people use various technical indicators with ...
12
votes
4answers
2k views

Is there any good research on support and resistance?

Could somebody advise me on where to find good literature on the justification or motivation for using support and resistance lines - and also lines of maximums and minimums. In finance, it is ...
12
votes
6answers
3k views

Applications of Fourier theory in trading

What are fashionable applications of Fourier analysis in trading? I have heard vague ideas of applications in High Frequency Trading but can somebody provide an example, maybe a reference? Just for ...
12
votes
3answers
5k views

R: How feasible is it to store — and work with — tick data in a database connected to R?

I'm looking to convert some tickdata .csv files into a database on a local disk and then use R to call the data and do my various analytics and modelling. What are some best practices / ...
12
votes
3answers
2k views

At what point does someone using technical analysis become a Quant?

Sorry if the question sounds rough. It's not my intention to devaluate something I've not yet understood like Quantitative Finance. So to keep it simple: is Quantitative Finance a science, like ...
12
votes
4answers
1k views

Are two identical time series cointegrated?

I did cointegration test on two identical time series, and the result shows that they are not cointegrated, but intuitively, I think they are. Can anyone share some thoughts on this? Thanks!
12
votes
8answers
1k views

Measuring liquidity

While liquidity is one of the key figure of financial markets, It seems to be very difficult to measure. Volume is sometime used as a proxy but can sometimes be completly irrelevant. Could you point ...
12
votes
4answers
2k views

How do you evaluate a covariance forecast?

Suppose you have two sources of covariance forecasts on a fixed set of $n$ assets, method A and method B (you can think of them as black box forecasts, from two vendors, say), which are known to be ...
12
votes
5answers
3k views

portfolio optimisation with VaR (or CVaR) constraints

I would like to optimize a portfolio allocation (maximizing the exposure or the expected return), but with VaR or CVaR contraints. (some parts of my portfolio cannot exceed a certain VaR) How can I ...
12
votes
3answers
882 views

How to account for transaction costs in a simulated market environment?

I am simulating a market for my trading system. I have no ask-bid prices in my dataset and use adjusted close for both buy and sell price. To account for this I plan to use a relative transaction ...
12
votes
4answers
3k views

How to combine multiple trading algorithms?

Is it possible to combine different algorithms so as to improve trading performance? In particular, I have read that social media sentiment tracking, digital signal processing and neural networks all ...
12
votes
3answers
1k views

How to encode trading strategies mathematically

If you have a bunch of different econometric data (e.g. indexes, FX, commodities, interest rates...) you can try to find a formula to see if there is any relationship in the data - e.g. to forecast ...
12
votes
7answers
3k views

What are the best Journals & Conferences in Quantitative Finance?

What are some of the most prominent journals, conferences and publishing venues in Quantitative Finance research? Where can I find information more information about them? (e.g. impact factor and ...
12
votes
2answers
1k views

How to update an exponential moving average with missing values?

Say you have an Exponential Moving Average being continuously updated over a time series using 1-second-long time periods. What should happen if there is no value for the next second, e.g. there were ...
12
votes
3answers
4k views

Free intra-day equity data source

Are there any free data source for historical US equity data? Yahoo finance has daily prices but I'm looking for something more granular and goes back 2 or more years (doesn't have to be close to tick ...
12
votes
3answers
432 views

Please give a step-by-step explanation on how to build a factor model

Factor models such as Fama-French or the other ones that are partially summarized here work on the cross-section of asset returns. How are the factors built, how are sensitivities/coefficients ...
12
votes
2answers
572 views

Issues when considering a quantitative trading/finance firm

I have an upcoming quantitative trading interview (prop desk at a large bank), and I would like to have some good questions to ask about the group. However, I am changing fields from academia and I do ...
12
votes
4answers
2k views

What is a “coherent” risk measure?

What is a coherent risk measure, and why do we care? Can you give a simple example of a coherent risk measure as opposed to a non-coherent one, and the problems that a coherent measure addresses in ...
12
votes
3answers
713 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 ...
12
votes
2answers
911 views

Copula models and the distribution of the sum of random variables without Monte Carlo

There is a vast literature on copula modelling. Using copulas I can describe the joint law of two (and more) random variables $X$ and $Y$, i.e. $F_{X,Y}(x,y)$. Very often in risk management (credit ...
12
votes
3answers
675 views

How to price a volatility-index option?

There exist several volatility indices, such as the CBOE Volatility Index (VIX). There are also options on such indicies. What is the best way to price a volatility-index option? Is there a simple ...
12
votes
2answers
1k views

How to build a regime-switching model which knows its own limits?

In recent months I've come to the conclusion that there are not only certain regimes in the markets (like bear or bull) but phases where all models fail because we are in uncharted territory. The ...
12
votes
2answers
6k views

Cross Currency Swap Pricing in nowadays environment

Multicurve setting has now become the new paradigm for vanilla swap valuation. For the record I give here (without getting into too much details) the methodoloy for pricing Euribor3M swaps in this ...
12
votes
3answers
3k views

Techniques to optimize the placement of orders in market making strategy?

Market making often requires placing and canceling a lot of orders. You have to buy and sell nearly simultaneously, so you need to move orders pretty often to beat other traders. But I would like to ...
12
votes
1answer
3k 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 ...
12
votes
4answers
5k views

Is statistical arbitrage on FX possible?

Do you know of any papers which consider pairs trading (or statistical arbitrage) on foreign exchange? I couldn't find any. I asked this question on several forums and got no reply. Thus I guess this ...
12
votes
3answers
683 views

Discrete-time model: stock dynamics

I am working in the area of probability theory and for a case study I would like to make some calculations in finance. Since I am developing theory for the discrete time, I am interested in models for ...
12
votes
2answers
1k 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 ...
12
votes
2answers
1k views

Cleansing covariance matrices via Random matrix theory

I am exploring de-noising and cleansing of covariance matrices via Random Matrix Theory. RMT is a competitor to shrinkage methods of covariance estimation. There are various methods expressed usually ...
12
votes
2answers
2k views

statistical arbitrage option overlay strategies / volatility trading

Here's an interesting trading puzzle that I would love to get the community's input on. Let's say there exists an alpha signal that does a good job of sorting equities expected excess returns over ...
12
votes
1answer
495 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 ...
12
votes
1answer
324 views

Which interest rate model for which product

Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense. The models I have in ...
11
votes
3answers
2k views

How are limit orders selected from the order book?

I'm sure there is a simple answer to this but I haven't had any luck with searches. I'm just wondering when someone places a market order which order(s) from the limit order book are selected to fill ...
11
votes
8answers
2k views

What are some good technical and non-technical books for a math lover to get in to quantitative analysis? [closed]

To get the ball rolling... I will answer this question this evening For people aware & unaware I think it would be a great way to introduce the group, resources for fundamental knowledge & ...
11
votes
11answers
25k views

What is the difference between Option Adjusted Spread (OAS) and Z-spread?

I am preparing for the CFA level 2 exam, I got confused by the concept Z-spread and OAS. When a call option is added to a bond, since it is not favorable to the bond buyer, they would require more ...
11
votes
7answers
1k 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 ...
11
votes
3answers
5k views

Control for bid/ask bounce in high-frequency trade data?

The bid-ask bounce is the bouncing of trade prices between the bid and ask sides of the market. It introduces a systematic bias to the data which can cause serious problems in analysis. What methods ...
11
votes
6answers
11k views

How high of a Sharpe ratio is implausibly high for a low-frequency equity strategy?

I am looking to convince someone that an annualized Sharpe Ratio of 7 is 'extremely high' for a low frequency (daily rebalancing, say) long-short technical strategy on U.S. equities. I was hoping for ...
11
votes
4answers
989 views

Resources for finding scholarly research on topics in quantitative finance?

A friend and I have taken up an interest in quantitative finance, and we're pretty much starting from scratch—neither of us have backgrounds in finance, but rather electrical engineering and ...
11
votes
3answers
13k views

How to simulate stock prices with a Geometric Brownian Motion?

I want to simulate stock price paths with different stochastic processes. I started with the famous geometric brownian motion. I simulated the values with the following formula: ...
11
votes
3answers
1k views

Why do expected return models and risk models use different factors?

This is a question responding to weekly topic challenge. I happen to see an interesting question from SYMMYS by Michael Kapler. I always approached expected return and risk modeling as separate ...

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