Mr. Smith is 35 years old. He has the following 2 goals: First goal: To retire when he is 60 years old. He expects to live up to 80 years old. He projects his annual retirement spending to be $200,000 in today's value. He will withdraw the annual spending at the beginning of each year when he retires. Second goal: To leave an amount of $5,000,000 to his son when he passes away when he is 80 years old. He has set up an investment account for the above2 goals a few years ago. Currently, there is $400,000 in that investment account. The rates of return for the investment account are expected to be 4% p.a. before he retires and 3% p.a. after his retires. If inflation rate is expected to be 2% p.a., how much should he save at the end of each year from now until he retires to achieve his goals?

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

show all your calculations and steps 

Mr. Smith is 35 years old. He has the following 2 goals:
First goal:
To retire when he is 60 years old. He expects to live up to 80 years old.
He projects his annual retirement spending to be $200,000 in today's
value. He will withdraw the annual spending at the beginning of each year
when he retires.
Second goal: To leave an amount of $5,000,000 to his son when he passes away when
he is 80 years old.
He has set up an investment account for the above2 goals a few years ago. Currently,
there is $400,000 in that investment account. The rates of return for the investment
account are expected to be 4% p.a. before he retires and 3% p.a. after his retires.
If inflation rate is expected to be 2% p.a., how much should he save at the end of each
year from now until he retires to achieve his goals?
Transcribed Image Text:Mr. Smith is 35 years old. He has the following 2 goals: First goal: To retire when he is 60 years old. He expects to live up to 80 years old. He projects his annual retirement spending to be $200,000 in today's value. He will withdraw the annual spending at the beginning of each year when he retires. Second goal: To leave an amount of $5,000,000 to his son when he passes away when he is 80 years old. He has set up an investment account for the above2 goals a few years ago. Currently, there is $400,000 in that investment account. The rates of return for the investment account are expected to be 4% p.a. before he retires and 3% p.a. after his retires. If inflation rate is expected to be 2% p.a., how much should he save at the end of each year from now until he retires to achieve his goals?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Techniques of Time Value Of Money
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
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