3. Ryan borrows 2,000 at an annual effective interest rate of 5% and agrees to repay it with 40 annual installments. The amount of each payment in the last 25 years is set at twice that in the first 15 years. At the end of 20 years, Ryan has the option to repay the entire loan with a final payment Z, in addition to the regular payment. This will yield the lender an annual effective rate of 6% over the 20-year period. Calculate Z. Solution:

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter19: Lease And Intermediate-term Financing
Section: Chapter Questions
Problem 14P
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3.
Ryan borrows 2,000 at an annual effective interest rate of 5% and agrees to repay it with 40 annual
installments. The amount of each payment in the last 25 years is set at twice that in the first 15 years.
At the end of 20 years, Ryan has the option to repay the entire loan with a final payment Z, in
addition to the regular payment. This will yield the lender an annual effective rate of 6% over the
20-year period.
Calculate Z.
Solution:
Transcribed Image Text:3. Ryan borrows 2,000 at an annual effective interest rate of 5% and agrees to repay it with 40 annual installments. The amount of each payment in the last 25 years is set at twice that in the first 15 years. At the end of 20 years, Ryan has the option to repay the entire loan with a final payment Z, in addition to the regular payment. This will yield the lender an annual effective rate of 6% over the 20-year period. Calculate Z. Solution:
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