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Questions tagged [correlation]

A measure of the degree of linear association between a pair of random variables.

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Can i assume independence after adjusting for cross correlation in an event study?

Think i posted this in the wrong forum once, so i'll try again here. I'm doing an event study on rebalancing date of an index. The rebalancing happens every quarter. Using 50 tickers this implies i ...
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Correlation sensitivity of Rainbow options

I read from various sources (eg. Exotic Options and Hybrids, M. Bouzoubaa) that the correlation sensitivity of Rainbow options (say a call price on a basket made of 50% of the best stock, 20% of the ...
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target correlation for portfolio

Given a long / short equity portfolio, I want to have some net long exposure. My portfolio volatility is fixed to a target, so in trying to have a certain beta to the market, the only thing I can ...
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33 views

Parametric VaR assumption question

Why do you have to make a correlation matrix when calculating the parametric value at risk, if one of the assumptions for this method to work is that the assets of the portfolio must be independently ...
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68 views

Showing the Gaussian shift theorem for bivariate case

I was reading about the Gaussian shift theorem in "An Introduction to Exotic Option Pricing" by Peter Buchen and came across a question that I can't seem to figure. In the book, he uses F(Z) (a ...
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86 views

How to calculate correlation between commodities with forward prices?

I'm trying to understand which is the correct way to calculate the correlation between 2 commodities with forward prices. My idea would be first bootstrap forward prices to have only spot prices for ...
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Minimizing Correlation to Index

In his PhD thesis in the chapter Market Neutral Portfolios, page 69, [1] Valle sets up an optimization problem which minimizes the absolute correlation of the portfolio log returns to the log returns ...
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45 views

Sharpe Ratio with Stochastic Interest Rate?

All versions of the Sharpe ratio that I've seen seem to assume that the risk-free rate is constant, and the standard deviation of the excess return in the denominator simplifies to the standard ...
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66 views

Correlation among different sectors of the market

It is known that many sectors/industries within the stock market are correlated with each other. For example, using VIF as a measure of correlation, I have the following result: ...
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calibrating two (or X) equity diffusion trees

I have two equities S1 and S2. Each one follows the following tree evolution : $$S_1 \rightarrow \left \{ \begin{matrix} S_1 (1+u_1) & \text{with probability } p_1 \\ S_1 (1-d_1)...
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Isolating the portion of the market indexes' returns that are independent of the other market indexes

I am trying to find a way to isolate the portion of the market indexes' returns that are independent of the other market indexes. My dataset comprises of 10 sectors (Technology, Financials, Utilities, ...
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80 views

Preference between low (zero) and negative correlation

I am trying to create an artificial score grading user's portfolio correlation. In terms of diversification, lower correlation is obviously better. However, should negative correlation get a higher ...
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103 views

How to compute a single Value-at-Risk (a single quantile) of portfolio returns taking into account correlation between individual returns?

Introduction My goal is to retrieve a single Value-at-Risk (VaR) of a N(0, H) random variable $X$ at the $\alpha \in (0,1)$ confidence level where H is a known d-dimensional positive definite matrix ...
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VECM Correlation Matrix

I am trying to implement the modified information share price discovery method desribed by Lien. They start by estimating a VECM of the form where and and it's Vector Moving Average ...
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42 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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83 views

Portfolio correlation of a long-short portfolio

I have a portfolio of long/short positions in stocks. I would like to calculate the portfolio correlation. Should I somehow account for the short position while calculating the portfolio correlation? ...
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38 views

Futures and Forward Prices vs interest rates

Textbooks usually state that if an asset's prices are positively correlated with interest rate movements, then its Futures price is going to be greater than its Forward Price assuming the same ...
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85 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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Correlation basket equities

One question: when asking for the correlation of a basket, a trader told me 50% whereas I expected him to give me asset pairwise correlations (i.e. the correlation matrix). What does this 50% mean ...
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105 views

Correlation of assets to portfolio of assets

How do you calculate the correlation of an asset to a portfolio, when for all assets in the portfolio you know there: correlation to each other, volatility and weight in portfolio. For example: ...
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144 views

Which program for a DCC-MIDAS model?

for a thesis research, I plan to use a DCC-MIDAS model. The program I was working with (STATA) is not able to run this. Do you have any suggestions as to which program is best for this analysis? ...
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79 views

Spot variance drift consequently to style drift

I am looking for some information on how to spot variance drift for a portfolio in accordance to its benchmarks, Let's say that we have returns of the portfolio $\textbf{P}=(P_1,...,P_t,...,P_n)$ and ...
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58 views

What could be lead indicator for forex pairs like EUR-USD?

I am trying to look for intra-day lead indicators for FX pairs. For example what other securities like FX or bonds or indices can be considered as lead indicators with significant positive or negative ...
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Simulate double exponential process with correlated jumps?

So, I'm trying to simulate a correlated double exponential jump process for two assets, and I understand the pure exponential jump process ($\eta_1$ and $\eta_2$, the probability of an upward jump ...
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What would be a concise way to understand Dynamic Conditional Correlation

I have ran into a brick wall, trying to understand DCC. I find Engle's 2002 paper too challenging for my understanding. What do I need to learn prior to attempting to understand DCC, in terms of ...
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54 views

What are the reasons that make stock return - bond yield correlation a meaningful one?

I have come across interesting charts that show the changing correlation between stock returns and government bond yields. My gut instinct tells me that such relationship would be expected to be ...
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How to model default correlation deviation?

I have two groups of assets, one is investment grade ($i$) and the other is non-investment grade ($n$). According to Nagpal & Bahar (2001), the default correlation can be expressed as follows: \...
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Instruments cointegration: how to handle negative slopes

I'm making research on the simple cointegration trading strategies - simply trading on reverting spreads to mean. Approach. I'm finding two instruments with high correlation (let's call them X and Y)...
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Bivariate risk neutral distribution through copula

I want to build a bivariate risk-neutral distribution from two liquid assets (A and B) through the use of a copula. As A and B are liquid, I have the marginal distributions from the market. All I have ...
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299 views

Monte-Carlo simulation Hull-White process

I have one question about Monte-Carlo simulation Hull-White process, maybe you can give me some advice. I constructed a Hull-White process using Python and QuantLib. Now I want to construct a Hull-...
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3answers
158 views

generating a correlated RV which has the same correlation to existing samples

Suppose I have generated a collection of correlated sequences of samples $(S_i)_{i=1}^{n}$ from random variables $\mathbf{\underline{x}} = x_i$. Let's fix a sequence of reals $(\sigma_i)_{i=0}^{n}$. ...
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148 views

Dollar Index vs Hang Seng Index: Negative correlation, but what's driving it?

I recently read an article which highlighted that a weaker dollar tends to coincide with rallies in Hong Kong stocks. I did some quick analysis: I calculated monthly returns on the Dollar Index and ...
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3answers
208 views

Correlation Oil Price with Bond Fund - question on how to tackle this

I am trying to assess the sensitivity of a bond portfolio to the price of oil. The first intention was to 1. Get brent prices (CO1) for say a period of 5 years and 2.Get prices of each bond for the ...
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235 views

Quanto effect in cross currency mtm swaps

Apparently the standard way to value these swaps involves ignoring the quanto effect, - ie the correlation between fx and rates. I wonder why this is - is this correl always so close to zero? Eg of ...
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113 views

Correlation between bond yields and stock returns?

I intend to regress the correlation coefficient (rolling window and/or DCC) between NIKKEI 225 adjusted close and 10yr Japanese government bonds on inflation , inflation expectations and other factor ...
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Correlated assets in Monte Carlo simulation

I'm trying to simulate $N$ correlated assets in Excel in order to estimate a basket option price. For 2 assets, I correlated the two random variables $X_1$ and $X_2$ and then simulate the ...
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83 views

How to calculate the contribution (%) of an asset to the global correlation of the portfolio?

I have a portfolio X with weights $w_i$. I am trying to find the contribution $\xi_i$ of asset $i$ to the total correlation $\rho_{XM}$ of the portfolio X to an index M. I can't find these ...
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125 views

Ordered correlated random numbers

I'm not sure how feasible this is. I'm aware of how to generate correlated random numbers using a cholesky decomposition. However, say I have a fixed data set in increasing order (e.g. Price series: $...
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Calculate price variance caused by denominating currency

I would like to calculate asset correlations while excluding movements resulting from the denominating currency (as much as possible). My common sense tells me that any two assets with the same ...
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143 views

Implied correlation

Have I understood it correctly if the standard way to calculate implied correlation is the Gaussian Copula model where we: Calibrate the underlying portfolio to get a homogenous default probability ...
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140 views

Correlation between equity returns and debt spread changes

I have got two rather short questions. Statement: Theoretically, a firm's equity prices and credit spreads should be negatively correlated. This correlation tends to be stronger for riskier companies....
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Why isn't it appropriate to use correlation between prices in a pairs trade strategy?

I've already seen this question and read through all the answers, but I'm still confused about why you shouldn't use price correlation in a pairs trade strategy. For example, if I'm looking at the ...
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277 views

Absolute or relative strikes?

World, When pricing a CMS Spread Option the market practice consider the strike as relative to ATM or Absolute? If I relate to the following paper page 70 the author refers to absolute strike [1] ...
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1answer
63 views

Implementation of total correlation of assets in R

I am trying to implement the (average) total correlation of assets, which is discussed here and here in R. Specifically, I am looking at $\rho_{av(1)}$ and $\rho_{av(2)}$: $$ \rho_{av(1)} = \frac{2 \...
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132 views

Correlation of asset X with a portfolio of asset Y and Z [closed]

I have three assets and a covariance matrix. How do I calculate the correlation of asset X with a portfolio that includes assets Y and Z? For example, assume I want to calculate the correlation of ...
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317 views

Difference between Local Vol and Copula

Let's assume we have ATM European call on a basket of two stocks and price it with: 1) Multivariate Local Vol with constant correlation 2) Gaussian copula Assuming we use the same correlation ...
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1answer
247 views

Control for non-synchronous trading in correlations

I am trying to replicate some results from the Betting Against Beta paper by Frazzini & Pedersen. In section 3.1, Estimating Ex Ante Betas, they illustrate their approach to correlations: [we ...
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1answer
70 views

Two time series similarity with slightly offset timestamps [closed]

Let's say I have two time-series S1 and S2 where S1 looks like this: ...
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1k views

What is the total correlation between assets in a portfolio?

Suppose I have portfolio with 10 assets, each one of them with a weight of 10% from the total portfolio (equally weighted). It's well known how to measure from historical prices->returns a variance-...
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503 views

Gaussian vs Student Copula applied to finance

I would like to get your opinion on the following topic: I am comparing the behaviour of Gaussian and Student-t Copulas. I employ the follwing procedure: Simulate N=100,000 samples from a Student ...