Quantitative Finance

Questions tagged [principal-components]

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1answer
37 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!
1
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0answers
60 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 ...
6
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2answers
5k 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-...
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0answers
145 views

PCA and constructing an index

Given a set of correlated securities and their corresponding closing prices, I am looking for a way to construct an index of these securities. When applying PCA to obtain the principal components, ...
1
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1answer
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 ...
0
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1answer
123 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 ...
6
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2answers
350 views

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. ...
0
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1answer
260 views

What does continuously payable annuity mean?

I am preparing for F< exam but I am unable to understand the meaning of continuously payable annuity. What does it mean? An example would be great.
1
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1answer
80 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 ...
0
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1answer
43 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 ...
2
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1answer
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 ...
1
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1answer
570 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 ...
0
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1answer
157 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, ...
2
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2answers
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,