Nathan and Jordan are saving for their daughter Kaliah's college education. Kaliah just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $14,500 a year, but they are expected to increase at a rate of 3-5% a year. Kaliah should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Nathan and Jordan have accumulated $12,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 10%. How large must the annual payments at t = 5, 6, and 7 be to cover Kaliah's anticipated college costs? O a. $3.779.16 O b. $3,435.60 O c. $2.046.26 O d. $1.211.32 O e. $1,860.24

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
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Nathan and Jordan are saving for their daughter Kaliah's college education. Kaliah just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at
State U. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. Kaliah should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on
her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).
So far, Nathan and Jordan have accumulated $12,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3,
and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 10%. How large must the annual payments at t
= 5, 6, and 7 be to cover Kaliah's anticipated college costs?
O a. $3,779.16
O
b. $3,435.60
O c. $2,046.26
O d. $1,211.32
O e. $1,860.24
Transcribed Image Text:Nathan and Jordan are saving for their daughter Kaliah's college education. Kaliah just turned 10 (at t = 0), and she will be entering college 8 years from now (at t = 8). College tuition and expenses at State U. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. Kaliah should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. Tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11). So far, Nathan and Jordan have accumulated $12,000 in their college savings account (at t = 0). Their long-run financial plan is to add an additional $5,500 in each of the next 4 years (at t = 1, 2, 3, and 4). Then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. They expect their investment account to earn 10%. How large must the annual payments at t = 5, 6, and 7 be to cover Kaliah's anticipated college costs? O a. $3,779.16 O b. $3,435.60 O c. $2,046.26 O d. $1,211.32 O e. $1,860.24
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