Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an additional $20,000 to that account. You earned 8%, compounded semi-annually, for the first ten years, and 6.5%, compounded annually, for the last five years. Required: a) What is the effective annual interest rate (EAR) you would get for your investment in the first 10 years? b) How much money do you have in your account today? c) If you wish to have $85,000 now, how much should you have invested 15 years ago?
Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an additional $20,000 to that account. You earned 8%, compounded semi-annually, for the first ten years, and 6.5%, compounded annually, for the last five years. Required: a) What is the effective annual interest rate (EAR) you would get for your investment in the first 10 years? b) How much money do you have in your account today? c) If you wish to have $85,000 now, how much should you have invested 15 years ago?
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
Related questions
Question
Transcribed Image Text:Fifteen years ago, you deposited $12,500 into an investment fund. Five years ago, you added an
additional $20,000 to that account. You earned 8%, compounded semi-annually, for the first ten years,
and 6.5%, compounded annually, for the last five years.
Required:
a) What is the effective annual interest rate (EAR) you would get for your investment in the first 10
years?
b) How much money do you have in your account today?
c) If you wish to have $85,000 now, how much should you have invested 15 years ago?
Expert Solution
Step 1
Given information:
Amount deposited is $12,500
Interest rate is 8% semi-annually for first 10 years
Additional amount deposited $20,000
Interest rate for last five years is 6.5%
Future value in account is $85,000
Step 2
Calculation of effective annual interest rate (EAR), total future value in account and present value:
Excel workings:
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
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…
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