You would like to have $57,000 in 14 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 6 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 6 percent on this deposit.) c. At the end of five years, you will receive $15,000 and deposit this in the bank toward your goal of $57,000 at the end of year 14. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 6 percent on your deposits.) Question content area bottom Part 1 a. How much must you deposit annually to accumulate this amount? $enter your response here (Round to the nearest cent.) Part 2 b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be? $enter your response here (Round to the nearest cent.) Part 3 c. If you deposit $15,000 received at the end of five years in the bank, what will the amount grow to by the end of year 14? $enter your response here (Round to the nearest cent.) Part 4 In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? $enter your response here (Round to the nearest cent.)
You would like to have $57,000 in 14 years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn 6 percent interest compounded annually. Your first payment will be made at the end of the year. a. How much must you deposit annually to accumulate this amount? b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn 6 percent on this deposit.) c. At the end of five years, you will receive $15,000 and deposit this in the bank toward your goal of $57,000 at the end of year 14. In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn 6 percent on your deposits.) Question content area bottom Part 1 a. How much must you deposit annually to accumulate this amount? $enter your response here (Round to the nearest cent.) Part 2 b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be? $enter your response here (Round to the nearest cent.) Part 3 c. If you deposit $15,000 received at the end of five years in the bank, what will the amount grow to by the end of year 14? $enter your response here (Round to the nearest cent.) Part 4 In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? $enter your response here (Round to the nearest cent.)
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
Concept explainers
Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
Question
Question content area top
Part 1
(Comprehensive problem) You would like to have
$57,000
in
14
years. To accumulate this amount, you plan to deposit an equal sum in the bank each year that will earn
6
percent interest compounded annually. Your first payment will be made at the end of the year.a. How much must you deposit annually to accumulate this amount?
b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should this lump-sum deposit be? (Assume you can earn
6
percent on this deposit.)c. At the end of five years, you will receive
$15,000
and deposit this in the bank toward your goal of
$57,000
at the end of year
14.
In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal? (Again, assume you can earn
6
percent on your deposits.)Question content area bottom
Part 1
a. How much must you deposit annually to accumulate this amount?
$enter your response here
(Round to the nearest cent.)Part 2
b. If you decide to make a large lump-sum deposit today instead of the annual deposits, how large should the lump-sum deposit be?
$enter your response here
(Round to the nearest cent.)Part 3
c. If you deposit
$15,000
received at the end of five years in the bank, what will the amount grow to by the end of year
14?
$enter your response here
(Round to the nearest cent.)Part 4
In addition to the lump-sum deposit, how much must you deposit in equal annual amounts, beginning in year 1 to reach your goal?
$enter your response here
(Round to the nearest cent.)Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
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
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