You are 20 years old today. When you turn 62, you want to retire. Starting on your 62nd birthday you want to receive funds from a growing annuity; the first payment would be $60,000 and grow at a rate of 5% per year for a total of 35 payments (including the first one). Your plan is to start saving for this plan on your 24th birthday; your first deposit would be $10,000 and would stay constant for a total of 25 deposits. On your 55th birthday, you calculate the amount of your compounded savings have and need to determine whether you have enough saving or not. On that 55th birthday, do you need to deposit more, or are you over funded and can take money out and still have enough in the account to fund your planned annuity? Assume a discount rate (or rate of return) of 8% for all periods. For this question, see Retirement Problem in Content. When you do the present value calculation for the growing annuity, your result will be the present value as of what birthday?

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
icon
Related questions
Question

You are 20 years old today. When you turn 62, you want to retire. Starting on your 62nd birthday you want to receive funds from a growing annuity; the first payment would be $60,000 and grow at a rate of 5% per year for a total of 35 payments (including the first one). Your plan is to start saving for this plan on your 24th birthday; your first deposit would be $10,000 and would stay constant for a total of 25 deposits. On your 55th birthday, you calculate the amount of your compounded savings have and need to determine whether you have enough saving or not. On that 55th birthday, do you need to deposit more, or are you over funded and can take money out and still have enough in the account to fund your planned annuity? Assume a discount rate (or rate of return) of 8% for all periods.

For this question, see Retirement Problem in Content. When you do the present value calculation for the growing annuity, your result will be the present value as of what birthday?

 

61

 

62

 

97

 

60

 

63

 

98

 If you calculate the present value of the savings plan of $10,000 annual payments, your calculation is the present value as of what birthday?

 
Question 5 options:
 

50

 

20

 

49

 

25

 

23

 

24

On your 55th birthday, you are overfunded or underfunded ...and by how much?

 
Question 7 options:
 

No correct answer

 

Overfunded by $234,978.91; you can take money out!

 

Underfunded by $946.31; you planned well!

 

Underfunded by $1,253,855.85; ouch!

 

Underfunded by $1,252,907.34

 

Overfunded by $462,766.86; you can take money out!

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education