Lea borrows PhP 100,000 at an annual effective interest rate of 4% and agrees to repay it with 30 level annual instalments paid at the end of each year. At the end of 10 years, Lea has the option to repay the entire loan with a final payment X, in addition to the regular payment. This will yield the lender an annual effective interest rate of 4.5% over the 10 year period. Calculate X

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Amortized Loans

The term "amortization" refers to spreading the value of a loan or a debt over a series of regular payments or installments comprising of both the principal and interest amount. It generally involves the process where in the value of a loan or an intangible asset is written down over its maturity period.