The study of the collection, organization, analysis, and interpretation of data. Questions may deal with descriptive statistics, probability distributions, random variables, sampling, regression, density estimation, filtering, inference, estimation theory, or computational statistics.

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6
votes
1answer
757 views

How to calculate the JdK RS-Ratio

Anyone have a clue how to calculate the JdK RS-Ratio? Let's say I want to compare the Relative strength for these: EWA iShares MSCI Australia Index Fund EWC iShares MSCI Canada Index Fund EWD ...
0
votes
0answers
45 views

Easy question (?) - how to measure if volatility for two samples is significantly different?

For my bachelor thesis I'm doing a research where at one point I want to measure if volatility for a certain sample of stocks in period A is significantly different from i) the same sample of stocks ...
1
vote
1answer
44 views

Historical volatility from non-uniform samples

The way I compute historical volatility is that I take two parameters $dt$ and $T$, get a list of stock prices with the step of $dt$ over the window $T$ (so $T/dt+1$ samples in total), compute $T/dt$ ...
0
votes
1answer
26 views

What are “df”, “t”, and “p” in these sharpe ratio related estimates?

I am looking at some sharpe ratio related estimates and have not seen Sharpe stats broken down this way before. I don't know what is meant by df, t, and p. Can someone explain that to me? Thank ...
1
vote
1answer
233 views

Weights Blowing up in PCA

I'm using daily settlement data to get yield levels for a couple of products. From this data I am doing PCA on a rolling collection of the yield levels. I have been using sci-kit learn's PCA function, ...
1
vote
0answers
15 views

Affect of choosing different combinations of variables for multivariate regression [closed]

If I have variables x1,x2,x3,and x4 that have correlation coefficients −0.9,−0.5,0.5, and 0.9 to another variable y, what is the effect of choosing different combinations of them in a multivariate ...
8
votes
4answers
18k 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 ...
3
votes
1answer
63 views

The use of $p$-value in finance after the recent statement of ASA (American Statistical Association)

The ASA (American Statistical Association) has just released a statement about the misuse of $p$-value. Will this action have much effect on the use of $p$-value in finance?
0
votes
1answer
143 views

Augmented Dickey-Fuller Questions

I've been searching in bibliography about this test applied to an AR(p) model. $$Q(L)(Y_{t})=c+\epsilon_{t}$$ Where L represent the Lag Operator and $Q=1-\phi_{1}x-.....-\phi_{p}x^{p}$ is the ...
6
votes
0answers
27 views

Where to get Tobin's Q by country

I am trying to rank countries based on Tobin's Q ratio. US data can be easily gathered from FED's report and is available on multiple website. I want get data on other countries with high Index of ...
8
votes
2answers
291 views

Kolmogorov-Smirnov test for Generalized Pareto Distribution

I've fitted my data to a generalized pareto distribution as to model the returns in the tails more accurately. The interior is fitted with kernel distributions. I would like to now test whether the ...
1
vote
0answers
53 views

FX Statistical Arbitrage Strategy [closed]

I have had experience creating stat arb strategies for equities and etfs, but haven't dabbled much into FX trading. I was wondering if anyone knew any resources online they would suggest, or could ...
2
votes
1answer
84 views

How to construct a cointegrating vector using more than 2 price series in R?

I use now this code from hier Why does the following data fail my cointegration test? with slightly modification of possibility to load something directly from Dropbox file storage . ...
0
votes
0answers
24 views

Binomial vs inverse binomial transform in obtaining moments

I am trying to obtain raw co-moment matrices from central co-moment matrices and I have found formulas for the transition from central to raw moments here . I have also found the opposite, that is ...
4
votes
2answers
89 views

Degrees of freedom in calculating significance of GARCH coefficients

I am trying to determine the significance of coefficients of a GARCH model by calculate the p-values using the following Matlab formula: pvalues = 2*(1-tcdf(abs(t),n-v)), where $t$ is the ...
0
votes
0answers
69 views

Problems calculating RSI

For the last few days I've been trying to calculate an RSI that matches a reliable source. Yahoo finance, E-trade, and TDA all give identical values, which I am unable to replicate. I have tried ...
11
votes
3answers
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 ...
9
votes
1answer
2k views

How do I reproduce the cross-sectional regression in “Intraday Patterns in the Cross-section of Stock Returns”?

Recently I was trying to reproduce the results of "Intraday Patterns in the Cross-section of Stock Returns" (published in the Journal of Finance 2010). The authors used cross-sectional regression to ...
33
votes
7answers
6k views

Is R being replaced by Python at quant desks?

I know the title sounds a little extreme but I wonder whether R is phased out by a lot of quant desks at sell side banks as well as hedge funds in favor of Python. I get the impression that with ...
4
votes
1answer
218 views

Fitting a non linear AR + GARCH(1,1)-M model

I want to fit the following model to a time series: $$ y_{t}=\alpha_{0}+\alpha_{1}y_{t-1}+\alpha_{2}y_{t-1}^{2}+\lambda h_{t}+\varepsilon_{t} $$ $$ ...
4
votes
1answer
60 views

market change, correlation and estimation bias

I hear many quants sating that markets change very slowly. This "fact" is even presented as a justification of statistical arbitrage, for example, by affirming that correlations remain roughly the ...
0
votes
1answer
89 views

How to calculate confidence interval for option price?

I model option prices for European call using Monte Carlo method. What is the proper way to calculate the confidence interval? A. -> Calculate the payoffs (there will be number of zeros as some ...
0
votes
0answers
46 views

Probability of reversion for cointegrated variables

I ran a Johansen test to figure out the cointegrating relationship between two variables $x$ and $y$, forming the equation $z=ax+by$ using the eigenvectors. The values are computed using from time ...
0
votes
2answers
68 views

High values of skewness and kurtosis of realized protfolio returns

I am investigating some asset allocation strategies and I am wondering about the results I obtain. I am working on monthly and weekly data of the same stock indices (SP500, FTSE 100 etc). And when I ...
-1
votes
1answer
24 views

How to calculate 5 years return & STD for ETF?

I want to calculate by-myself 5 year return & STD for SPY ETF. What I did: Downloaded to Excel from yahoo finance historical data for the ETF (daily Adj. Close) from ...
0
votes
0answers
38 views

Impulse response function interpretation

I would need a quick help with Impulse response function interpretation which I have done after Vector autoregression model in stata. I need to understand how to interpret IRF graph or table values ...
3
votes
1answer
76 views

Monte Carlo Convergence

Let $\{X_i\}$ be an i.i.d. sample of $X$ with $E(X) = \mu$ and $Var(X) = \sigma^2$. We know a MC estimate converges to the true value almost surely by the SLLN. That is, $$ \bar{X}_n \to \mu, ...
1
vote
0answers
51 views

state space for affine yield curve

i would like to reproduce in R the working paper " Affine free arbitrage class of Nelson Siegel term structure". The authors considering the equation of nelson siegel plus an adjustment term(C(t,T)) ...
1
vote
1answer
46 views

What is wrong in my non-linear estimation sample code?

I am trying to reproduce the code and plot you see here on pages 8,9 and 10 which was coded in MATLAB, but I'd like to convert it to R code. I believe I converted the MATLAB code below to R syntax ...
3
votes
0answers
46 views

Test for difference in security returns before and after financial regulation

I'm going to study the effect of corporate credit rating changes (Moody's) on stock prices before and after a specific financial regulation. So far i have used an event study where i have divided the ...
5
votes
2answers
232 views

Covariance structure of call option surface

Assume the observed call option prices $C(K_i,T_i)$ for $i = 1,\dots,N$ are disturbed by some unknown measurement noise $\epsilon$. What would an appropriate covariance structure be for $\epsilon$? ...
1
vote
1answer
31 views

Fitting (marginal/multivariate) distributions to financial return data

I have calculated the simple arithmetic return on a number of different financial securities and am fitting both a Student-T and Generalised Pareto Distribution. My question is can I just use the ...
1
vote
1answer
60 views

Calculating unweighted performance of stocks within a period

The well known calculation of unweighted index of stocks is just calculating an arithmetic average. And then, to calculate the performance of the index, I calculate the %change of the unweighted ...
1
vote
3answers
122 views

Is variance additive only under Log-returns?

Can't seem to figure this one out by thinking it through. Let's say that the simple return $R_t=P_{t+1}/P_t -1$ is assumed to be $R_t \sim iid N(0,\sigma^2)$. Thus, a two period return would be ...
17
votes
1answer
9k views

How to interpret the eigenmatrix from a Johansen cointegration test?

I ran a Johansen cointegration test on 3 instruments, A B and C. The results that I got are: ...
10
votes
2answers
3k views

How can I compare distributions using only mean and standard deviation?

I only have means and standard deviations of samples of two random variables. What technique can I use to determine how similar the distributions these describe are? Assume that the values are built ...
10
votes
2answers
424 views

GARCH model, expectation of volatility?

Consider a time series $\{r_t\}$ following a standard GARCH(1,1) model, i.e., $$ r_t = \sigma_t \epsilon_t,$$ where $\epsilon_t \sim N(0,1)$ and are i.i.d, and $$\sigma_t^2 = \omega + \alpha_1 ...
2
votes
1answer
101 views

FORECASTING Model AR(1) in an Autoregressive Form The Pi´s Parameters

Ive been implementing a little exercise to obtain the first 2 forecasting points of an AR(1) process. And i want to have the forecasting ponts using the three forms: Im folowing this pdf ...
5
votes
3answers
347 views

How is stock data objectively different to this random walk?

I have a random walk that is generated as so using python, numpy, and matplotlib ...
0
votes
2answers
90 views

Spot price and volatility has a correlation of -1, why?

A stock option trader taught me yesterday that the correlation between the spot price of asset X and the variance of asset X is approximately -1. Can anyone give me a explanation why this is true?
4
votes
1answer
105 views

Fit linear model to higher moments of CAPM

How can one fit a linear model to the higher moments of CAPM in R? Fitting a linear model to the second moment (classical CAPM) would be ...
3
votes
1answer
147 views

Compare events effect on stock prices from different time periods

I’m going to test for the effect corporate credit rating announcements have on stock prices through different economic climates (good times vs. bad times). I want to research whether or not the stock ...
1
vote
0answers
16 views

How do I calculate what % of price hits R1 before pivot

I am trying to calculate what % of times the price touches R1 before the pivot level. I have the data for the last 10 years and know how often it touches the R1 one and pivot point but I don't know ...
2
votes
0answers
102 views

Can you tell me what this RBloomberg formula means?

I've been asked to re-create a spreadsheet that used RBloomberg using a different data source. But I'm having trouble figuring out exactly what one of the spreadsheet's formulas does. Can anyone tell ...
12
votes
8answers
9k views

Should I use an arithmetic or a geometric calculation for the Sharpe Ratio?

What are the advantages/disadvantages of using the arithmetic Sharpe Ratio vs the geometric Sharpe Ratio? Is one more correct? Or is one better in certain circumstances?
1
vote
0answers
71 views

ISM PMI data - sector trend through ranking and seasonal decomposition

I have monthly data for each of the 18 sectors in the ISM PMI. Each datapoint shows the trend of a sector: growing, contracting or neutral. It also tells the strength of that trend with a number: ...
2
votes
1answer
39 views

What is the borne function mentioned in this paper?

On page 16, first paragraph of this paper, the authors introduce a function called "borne", which divides the normal distribution into n ranges of equal size, without citation. The definition is clear ...
2
votes
1answer
150 views

How to identify the orders p and q for ARIMA model using least squares method?

I would like to identify the orders p and q for ARIMA model using least squares method in Matlab. I have got also two data files (one with noise and one without) Previously I identified p and q for ...
0
votes
1answer
43 views

Calculating or finding info about the value of a market? for example Cloud Storage [closed]

I am assembling a pitch which will aim towards investors by the end of this year/beginning of next year, and I need to gather information such as how much the Cloud Storage market is worth and how ...
4
votes
1answer
135 views

Fitting transition matrices in R by solving for coefficient

I'm using various matrices to impute a fitted transition matrix for credit ratings by solving for a variable [S]. Essentially the idea is to determine a base matrix and stress matrix to compare to a ...