2. 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2.
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.
Transcribed Image Text:2. 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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