# Questions tagged [principal-components]

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### Principal components in treasuries: spot vs futures

I'm looking to use first few principal components of the US treasury yields for trading, and have choice of using either the data for treasuries themselves, or for the corresponding futures contracts. ...
7k views

### Principal Component Analysis of yield curve change

Following pictures are the Principal Component Analysis for the yield curve change from https://www.coursera.org/learn/interest-rate-models/lecture/ZHMM6/principal-...
3k views

### Principal Component Analysis and Yield Curves

I've been tasked with researching trading strategies relating PCA to trading fixed income futures instruments. Apparently PCA is frequently used in this area. I'm just looking for some references for ...
2k views

### Partial Least Squares Discriminant Analysis

Could anyone point me to detailed literature about "Partial Least Squares Discriminant Analysis"? Intuition, methodology and examples.. Thanks,
54 views

### How do you optimize an all equity portfolio while getting around the multicollinearity issue?

I am trying to optimize a portfolio of domestic and international equity funds. However being that they are very highly correlated it doesn’t really help. Is there a way to optimize and find an ...
1k views

### Applications of PCA to yield curve analysis

One of the applications of Principal Component Analysis in Finance is to analyse the shape of the yield curve. But what conclusions can be drawn exactly from performing this exercise? Does it help us ...
157 views

### Low-rank approximation techniques for portfolio optimisation

I am trying to understand how low-rank approximation techniques such as PCA, factor analysis, total least squares, orthogonal regression, etc could be used in portfolio optimisation. Say I have a ...
103 views

### Difference between par value and principal?

Could someone explain what is the difference between principal and par value in terms of a bond? Thanks!
85 views

### Regression model syntax

I'm following the methodology outlined in Developing High-Frequency Equities Trading Models. On page 27, the author outlines an OLS regression model to obtain beta coefficients. The model is defined ...
588 views

### How can I use PCA to determine spread ratios for multiple legs?

I would like to generalize Paul Teetor's A Better Hedge Ratio, which uses prcomp() to determine a ratio between two legs. I am hoping to extend this to multiple legs, but am having trouble finding ...
64 views

### Predicting stock returns using principal components of macroeconomic variables

I'm trying to detect return predictability by regressing stock returns on the first couple of principal components of a set of macroeconomic variables. I'm doing this for different stock styles such ...
51 views

### Daily principal payments, accumulated on yearly basis in excel

I am doing something seemingly quite easy: Prinipal calcuation of a loan. I need to calculate daily principal payments and accumulate it on a yearly basis. So my current implementation look like ...
161 views

### Inferring signals in absence of sign of principal components (PCA)?

PCA seems to be very popular in dimension reduction applications and for extracting the top PCs which explain the data. One such application in futures is on the term structure to obtain the level, ...
52 views

### First Principal Component Large Volatility

I am conducting PCA on several return series of funds and am finding that when I look at the first principal component the values are huge and this the volatility is also enormous relative to the ...