A 30-year annuity is arranged to pay off a loan taken out today at a 5% annual effective interest rate. The first payment of the annuity is due in ten years in the amount of 1,000. The subsequent payments increase by 500 each year. Calculate the amount of the loan. (A) 58,283 (B) 61,197 (C) 64,021 (D) 64,257 (E) 69,211

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section4.17: Amortized Loans
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A 30-year annuity is arranged to pay off a loan taken out today at a 5% annual effective interest rate.
The first payment of the annuity is due in ten years in the amount of 1,000. The subsequent payments
increase by 500 each year.
Calculate the amount of the loan.
(A) 58,283
(B) 61,197
(C) 64,021
(D) 64,257
(E) 69,211
Transcribed Image Text:A 30-year annuity is arranged to pay off a loan taken out today at a 5% annual effective interest rate. The first payment of the annuity is due in ten years in the amount of 1,000. The subsequent payments increase by 500 each year. Calculate the amount of the loan. (A) 58,283 (B) 61,197 (C) 64,021 (D) 64,257 (E) 69,211
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