ou and your co-worker Benjamin have both just turned 22 and are having dinner to celebrate. You begin talking about aving for retirement. Your company offers an invesment portfolio that has historically earned 11% interest, compounded semi-annually. You both decide to invest in this portfolio, but you have different investment strategies. Benjamin plans to start immediately. He has decided to invest a certain amount of money annually for exactly 8 years. At that point, Benjamin will stop investing in the account and will let the money grow until he turns 65. You decide you'd rather wait until you are in a better place financially, so you are not going to begin investing until age 30. You will invest the same annual amount as Benjamin and plan to invest that amount every year until you reach age 65. You and Benjamin make a friendly bet to see who will have more money in their retirement account at age 65!

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter14: Planning For Retirement
Section: Chapter Questions
Problem 2FPE
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It's All About the Benjamins!
3 You and your co-worker Benjamin have both just turned 22 and are having dinner to celebrate. You begin talking about
4 saving for retirement. Your company offers an invesment portfolio that has historically earned 11% interest, compounded
5 semi-annually. You both decide to invest in this portfolio, but you have different investment strategies.
6
7 Benjamin plans to start immediately. He has decided to invest a certain amount of money annually for exactly 8 years. At that
point, Benjamin will stop investing in the account and will let the money grow until he turns 65.
8
9
10 You decide you'd rather wait until you are in a better place financially, so you are not going to begin investing until age 30.
11 You will invest the same annual amount as Benjamin and plan to invest that amount every year until you reach age 65.
12
13 You and Benjamin make a friendly bet to see who will have more money in their retirement account at age 65!
14
15 Part I
16
Choose an amount between
$1,000 and $10,000 for p, the
annual amount of money
invested by both you and
Benjamin. Enter the chosen
amount in the green box.
22
23
18
19 Part II
20 How much does Benjamin have in his account after 1 year? Use the compound interest formula and show all work.
21
p
201
H
Transcribed Image Text:It's All About the Benjamins! 3 You and your co-worker Benjamin have both just turned 22 and are having dinner to celebrate. You begin talking about 4 saving for retirement. Your company offers an invesment portfolio that has historically earned 11% interest, compounded 5 semi-annually. You both decide to invest in this portfolio, but you have different investment strategies. 6 7 Benjamin plans to start immediately. He has decided to invest a certain amount of money annually for exactly 8 years. At that point, Benjamin will stop investing in the account and will let the money grow until he turns 65. 8 9 10 You decide you'd rather wait until you are in a better place financially, so you are not going to begin investing until age 30. 11 You will invest the same annual amount as Benjamin and plan to invest that amount every year until you reach age 65. 12 13 You and Benjamin make a friendly bet to see who will have more money in their retirement account at age 65! 14 15 Part I 16 Choose an amount between $1,000 and $10,000 for p, the annual amount of money invested by both you and Benjamin. Enter the chosen amount in the green box. 22 23 18 19 Part II 20 How much does Benjamin have in his account after 1 year? Use the compound interest formula and show all work. 21 p 201 H
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