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10
votes
1answer
738 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 ...
3
votes
0answers
87 views

The danger of using Principal Component Analysis (PCA) in Robust Optimization problems

I have received a reviewer's comment on a paper which applies PCA to reduce the size of a problem and the application is in the robust optimization field. The reviewer implies that "In robust ...
3
votes
0answers
305 views

Explanation or implementation of Ledoit-Wolf estimator (without math packages)

I have calculated weights of selected assets in a market-neutral portfolio (presumably with min variance) using PCA and simple data covariance matrix. The question is : It is obvious that Cov Matrix ...
3
votes
0answers
238 views

How replicate data using PCA

I have a set of date covering petrol prices. My example has two columns where each row represents a sequential date. ...
3
votes
0answers
239 views

PCA Variances and Principal Portfolio Variances

In Meucci's paper called "Managing Diversification" he mentions that: "Indeed, the eigenvalues A correspond to the variances of these uncorrelated portfolios" I tried to replicate it but found they ...
3
votes
0answers
99 views

Estimating two normal random numbers with one equation

Subtitle: Estimating the correlation of the shocks driving two commodities in two multi-factor models I am fitting two 2-factor models to electricity and gas futures, respectively. In order to ...
1
vote
0answers
13 views

Which kind of normalization to prefer before PCA (generic solution for any factor analysis)

I have financial assets with totally different volatilities, thus I must standardize them before PCA, otherwise, assets with high variance may be considered as principle components, which is wrong. ...
0
votes
0answers
23 views

Reducing multicollinearity in Arbitrage Pricing model

I am working on a test example where the idea is to come up with a model that predicts S&P500 returns using the 9 S&P subsectors(XLY,XLP,XLF,etc) as FACTORS.Now i know there exists ...
0
votes
0answers
35 views

Variance of “hedged” term structure portfolio increasing?

I'm attempting to use PCA to hedge a small fixed income portfolio. I start with one particular bond and chose the nearest other bond to hedge the 1st principle component. This decreases the portfolio ...
0
votes
0answers
105 views

How to reduce fx currency pairs ? PCA or other tools?

I have 19 currency pairs like USD.AUD, USD.CAD, etc. Also 82 cross currency pairs like AUD.CAD, EUR.AUD,EUR.CAD etc. When I look to their graphs, most look similar, so I want to reduce number of pair ...
-1
votes
0answers
14 views

Calculate herfindahl of pcs

I would like to calculate the herfindahl of principal components of a cap weighted portfolio. Not sure how to do that if anyone could provide some guidance that would be great. Thanks for your help