A popular insurance company wants to update the overall interest rates for two old life insurance schemes. Market interest rate quotes are available for a duration of six years for the same. The company fetched the corresponding market data given below;

(i) Perform a principal component analysis (PCA) on the given data in order to significantly contribute to the risk management of the company's portfolio. (ii) Perform the geometrical representation of the above-mentioned analysis.

Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 2.5 0.5 2.2 1.9 3.1 2.3 Market quotation interest rates for Scheme 1 Market quotation interest rates for Scheme 2 2.4 0.7 2.9 2.2 3.0 2.7 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 2.5 0.5 2.2 1.9 3.1 2.3 Market quotation interest rates for Scheme 1 Market quotation interest rates for Scheme 2 2.4 0.7 2.9 2.2 3.0 2.7