A fund is built with annual payments increasing by $1 from $1 to $10 and then decreasing by $1 to $0. The first payment of $1 is made today. If the fund is used to purchase a ten-year level annuity with the first payment at twenty years from today, what is the amount of the level payment? (Assume an annual effective rate of interest of 4%.)
A fund is built with annual payments increasing by $1 from $1 to $10 and then decreasing by $1 to $0. The first payment of $1 is made today. If the fund is used to purchase a ten-year level annuity with the first payment at twenty years from today, what is the amount of the level payment? (Assume an annual effective rate of interest of 4%.)
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:**Problem Statement**
A fund is built with annual payments increasing by $1 from $1 to $10 and then decreasing by $1 to $0. The first payment of $1 is made today.
If the fund is used to purchase a ten-year level annuity with the first payment at twenty years from today, what is the amount of the level payment? (Assume an annual effective rate of interest of 4%.)
**Possible Answers**
A: < $16
B: ≥ $16 but < $17
C: ≥ $17 but < $18
D: ≥ $18 but < $19
E: ≥ $19
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