A loan is repayable by a decreasing annuity payable annually in arrears for 20 years. The repayment at the end of the first year is $6,000 and subsequent repayments reduce by $200 each year. The repayments were calculated using an effective rate of interest of 9% per annum. Calculate the original amount of the loan.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter19: Lease And Intermediate-term Financing
Section: Chapter Questions
Problem 15P
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Finance

A loan is repayable by a decreasing annuity payable annually in
arrears for 20 years. The repayment at the end of the first year is
$6,000 and subsequent repayments reduce by $200 each year.
The repayments were calculated using an effective rate of interest
of 9% per annum.
Calculate the original amount of the loan.
Transcribed Image Text:A loan is repayable by a decreasing annuity payable annually in arrears for 20 years. The repayment at the end of the first year is $6,000 and subsequent repayments reduce by $200 each year. The repayments were calculated using an effective rate of interest of 9% per annum. Calculate the original amount of the loan.
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