Question: Book: Statistics and Data Analysis for Financial Engineering Problems #4 (p.548), (a) The output from names includes the following: [1] sdev loadings center scores Describe

Book: Statistics and Data Analysis for Financial Engineering

Problems #4 (p.548),

(a) The output from names includes the following: [1] "sdev" "loadings" "center" "scores"

Describe each of these components in mathematical terms. To answer this part of the question, you can print and plot the components to see what they contain and use R's help for further information.

(b)What are the first two eigenvalues of the covariance matrix?
(c)What is the eigenvector corresponding to the largest eigenvalue?
(d)Suppose you wish to "explain" at least 95 % of the variation in the changes in the yield curves. Then how many principal components should you use?

Thank you

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