Questions tagged [time-series]

A temporal sequence of events measured at discrete points in time.

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73 views

Market Invariant for Commodity Futures

In the same sense that Meucci describes "compounded returns" as the invariant for equities and "changes in yield-to-maturity" as the invariant for fixed-income, what is the invariant for a commodity ...
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2answers
143 views

Daily returns to monthly basic question [closed]

I am currently a little bit puzzled. I am trying to compute the monthly returns from a set of data. ...
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74 views

Cointegration between daily time series and intraday time series

I am working with time series data of daily prices, and intraday prices. For simplicity sake I will refer to the daily time series as 'A' and 'B', and the intraday time series of the same instruments ...
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1answer
82 views

How long is considered `long-term'?

For a project I am doing I need to simulate the balance sheet of a pension fund. In order to do so I also need to simulate euro inflation. Since my inflation data is non-stationary, I model it using ...
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1answer
168 views

A question about stationarity and ergodicity

Given daily returns of a stock index over 50+ years, a homework question asks: Plot the annual sample mean and variances of the returns and their absolute values. Are these estimates in agreement ...
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1answer
362 views

What is the Probability Distribution of Max-Drawdown?

How to obtain the probability distribution of Maximum Drawdown, starting from the probability distribution of Daily Returns? Here the details: Suppose I have a time serie of N=1000 daily returns. ...
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90 views

Comparison of normalization methods on market returns

I am looking to use a multi-factor model to make target-return predictions. Since the factor-returns come from different scales I need to normalize first. There are different ways to normalize ...
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1answer
96 views

Understand the white noise condition in Vector Autoregression

In the following vector autoregression model with lag polynomial representation: $$\Phi (L) y_t= \epsilon_t$$ where $Y$ is the vector of endogenous variables, $\Phi$ is the parameters matrix, $\...
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38 views

Forecasting time series data using auxiliary information and associated questions

Suppose I want to forecast MSFT time series, using MSFT history as well as SPY history. Are there good time series forecasting methods that permit auxiliary data to be used? Perhaps you should just ...
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195 views

Overlapping Data

I have a daily time series data spanning over 22 years. I need to compute some meaningful yearly standard deviation statistics / generate probability distribution and estimate tail risk. 22 years ...
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5answers
48k 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 ...
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2answers
1k views

Getting data of sub-sector indexes of an S&P 500 index sector using QuantMod in R

Using the quantmod package in R, one can download the S&P500 index using the following command: ...
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1answer
101 views

Which method would you use to compare if a time series of financial returns has more “clusterized volatility” than another?

It is known that the historical series of financial returns are characterized by the so-called volatility clustering. Suppose we approximate the number of two-type clusters, namely the high and low ...
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1answer
109 views

How to calculate RSI while considering market close and holidays?

I was trying to calculate RSI over hourly OHLC bars for a symbol (AAPL as an example) and got stock, first how should I handle closing hours? (does it make sense to ignore them all together and assume ...
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1answer
98 views

What is the optimal approach to “backcasting” alternative asset classes (i.e. PE, Hedge Funds, Real Estate)?

I am interested in coming up with better risk calculations for alternative asset classes. As these are illiquid, not a lot of historical data is available. My idea is to use performance of stocks ...
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1answer
572 views

How to deal with missing value in a time series stock market data?

I have collected data for the period of 2002 to 2018 for following indices Nifty (India), NASDAQ (US), ADX (UAE) and TASI (Saudi Arabia). After collection, I have arranged data in a single sheet with ...
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31 views

Finding the distribution and moments of returns with GARCH models (in R if possible)

I understand the GARCH type models and I know how to fit a model to a time series. But, there is a paper which calculates the moments of the distribution of returns (Variance, Skewness, and Kurtosis) ...
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1answer
57 views

QQQ fillings history

I'm trying to find Invesco QQQ Trust fillings for 2001-2018 time period, at least top 10 by year, do you know where I should search?
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38 views

Joint hypothesis tests

When running regressions, $$Y_t=\alpha+\beta_{9}x_{9,t-1}+\beta_2x_{2,t-1}+\beta_3x_{3,t-1}+\beta_4x_{4,t-1}+\varepsilon_t (1)$$ $$Y_t=\alpha+\beta_1x_{1,t-1}+\beta_2x_{2,t-1}+\beta_3x_{3,t-1}+\...
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1answer
35 views

Deriving the long-horizon predictive regression and hypothesis testing

I am working on the long-horizon regression, $$y_{t,K}=\mu+\beta_1x_{1,t-1}+...+\beta_nx_{n,t-1}+e_{t} $$, where $$y_{t,K}=y_{t}+y_{t+1}+...+y_{t+K-1}$$ and there can be multiple x's. So I am ...
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183 views

Simulation of a DCC-GARCH

I want to simulate some exchange rates with a DCC GARCH. I know the package rmgarch but I want to code the simulation my self. The following are the main equations ...
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61 views

Constrained Optimization for performance attribution

I am trying to perform constrained opmitization for portfolio performance attribution analysis. Specifically, I am trying to determine the impact of sectors performance on the S&P 500 index. Min ...
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1answer
63 views

EWMA Volatility vs Volatility of EWMA

Is taking the standard deviation of a EWMA smoothed series equivalent to getting the EWMA volatility for that series?
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56 views

Correlation between a sector and MSCI ACWI returns

I have daily return data of 11 sectors of MSCI World Index and the MSCI ACWI index. I want to know the stationarity of correlations between the sectors and MSCI ACWI index. This is what I have done: ...
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1answer
1k views

Absorption ratio by Mark Kritzman

In Principal Components as a measure of systemic risk, the author Mark Kritzman defines absorption ratio (AR) as the fraction of the total variance of a set of asset returns explained or absorbed by a ...
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2answers
309 views

R: optimize timeseries to minimize “integral”

What I am looking to do is: for a given time-series $P_t$ (which will be constructed from different timeseries itself): $P_t$ = $\beta_1$$I_t^1$+$\beta_2$$I_t^2$+$\beta_3$$I_t^3$ $\qquad$ ($I_t^i$ ...
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1answer
680 views

Is this a viable method for testing market making strategies?

I found a video game market (steam community market) which allows for trading of in game items between users, most items are <0.25 USD each, and market capitalization appears to be maybe $5-$10 USD ...
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1answer
102 views

correlation in time series analysis

the goal of my research is to analyze if one variable X follows the movement of another variable Y over time. Meaning that Y is slightly ahead of X. The number of observations in each time series is ...
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1answer
102 views

Asset class dynamics differences

If we compare daily return dynamics of the main asset class time series (e.g. Stock indexes, bonds, precious commodities, etc) do we observe quantifiable differences? Are there some reference paper on ...
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0answers
61 views

volatility for multiple time series

I have time series data for a total of 4 stocks and want to analyze the volatility of those. Moreover I want to demonstrate that they have the same volatility. As a response variable I would use log ...
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2answers
2k views

How to annualize Expected Shortfall?

I have a time series with monthly data from which I compute the expected shortfall empirically, following the classical definition which can be found, for example, in wikipedia's definition. That is, ...
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42 views

Does it make sense to simulate from the multidimensional GBM?

Suppose I have times series data on 3 assets and I do $N$ simulations (GBM) first for each of assets individually and then from a multidimensional GBM since their log-returns are correlated (I use ...
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1answer
225 views

Collect all stock returns in one single matrix using quantmod in R

My problem is similar to the one in this question: how do I loop through all the stocks with quantmod and ttr? To estimate the covariance matrix of stock returns, I need a $NxT$ matrix $X$ of returns ...
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5answers
24k views

Building Financial Data Time Series Database from scratch

My company is starting a new initiative aimed at building a financial database from scratch. We would be using it in these ways: Time series analysis of: a company's financial data (ex: IBM's total ...
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95 views

Monte Carlo Simulation of correlated returns based on different frequencies

I am simulating through Monte Carlo, multivariate correlated returns of different products composing an Oil&Gas portfolio. The historical prices (from which I computed the log-returns) of the ...
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1answer
153 views

How to estimate a copula for time series

I want to estimate a copula for the innovations of two dependent time series (A and B). I have found no reference with a step by step on how to do this. I have only found summarized papers from which ...
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36 views

Negative abnormal stock return and permanent impact

Assume we have a day where stock price falls many standard deviations of the mean (e.g >3) . How could we test, in terms of time-series, if this negative shock is permanent or deminishes in the long ...
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783 views

Imposing Restrictions on Cointegrating Vectors, R example

The code given below estimates a VEC model with 4 cointegrating vectors. It is a reproducible code, so just copy and paste into your R console (or script editor). ...
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3answers
438 views

Mean and standard deviation of price series with Kalman

I like to calculate the mean and standard deviation of a price series, using the Kalman filter. I am somehow stuck with the deviation, or have some problem in understanding, which my research could ...
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1answer
110 views

How to create a currency independent commodity index

I'm looking for insights on a methodology to create my own bespoke index, specifically a gold index. I'd like to take the price of gold in various currencies, along with the different cross rates ...
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1answer
48 views

Recreating / Extending Bond Time Series

I am trying to analyse historical yield curve dynamics within an across countries and step one is extending / recreating historical yields and/or prices. The challenge is this: lets say a 10 year ...
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124 views

What is the purpose of short rate models?

Just venturing into quantitative finance and studying short rate models (Vasicek, CIR, Hull-White etc.). Wanted to ask a very simple intuitive question. How would a practitioner use these models? I ...
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1answer
39 views

Drop weekend data Vs fill weekend data for GARCH-type modelling

I have a dilemma for an analysis I'm currently on. I doing some GARCH modelling of bitcoin and a fiat currency. There are some null values with the fiat datasets in comparison with bitcoin data as ...
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1answer
276 views

Hansen and Jagannathan distance

Hansen and Jagannathan distance, or HJ-distance for time-series regression of excess test assets return on excess factor return reads: $HJ = \sqrt{\alpha'(E[RR']^{-1})\alpha}$ However, I am little ...
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79 views

Which stats are the best predictors of model sucess in real time? [closed]

What are the best predictors of real time model success in quantitative trading, i.e. # of transactions, length of backtest, StdDev, Skewness, Excess Kurtosis etc and what are the numerical values of ...
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2answers
98 views

What returns to use?

I have monthly returns of my portfolio... I would like to summarize the performance over a longer period in one overall figure. Should I use log returns per month then use geometric mean on the log ...
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1answer
53 views

Time Series Multiple Choice

1) Consider a standard AR(2) process. When is the maximum likelihood estimator identical to the OLS estimator? (a) when $\varepsilon $~ (N 0,$\Sigma^2) (b) always? I'm thinking (a), but that I also ...
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1answer
125 views

dividend paid on FTSE100 time series data

I need dividend paid on FTSE100 for last 10 years. I want to calculate the dividend-price ratio for FTSE100 as a time series data. I would really appreciate if anybody can give me a clue about finding ...
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1answer
298 views

Accuracy for GARCH models

How does one calculate the accuracy of forecasts given by GARCH models considering GARCH is run on returns. Assuming GARCH is a derivative of a regression based prediction model, would regular ...
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2answers
325 views

Why does the Weak Form of Market Efficiency and Markov Property hold?

This question is to do with a paragraph in Hull (Options and other Derivatives) He explains that Stock Prices usually follow a Markov Property, where the current price of the stock contains all the ...