Problem 1. Find the maturity value of the following simple interest investments. (i) $3125 invested at 2.85% for 7 months. (ii) $12,000 at 5.3% for 11 months.
Problem 1. Find the maturity value of the following simple interest investments. (i) $3125 invested at 2.85% for 7 months. (ii) $12,000 at 5.3% for 11 months.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
100%
![Problem 1. Find the maturity value of the following
simple interest investments.
(i) $3125 invested at 2.85% for 7 months.
(ii) $12,000 at 5.3% for 11 months.
Problem 2. Find the future value of the following
investments.
(i) $15,000 iinvested at 6% compounded monthly for
10 years.
(ii) $8500 at 6.9% compounded quarterly for 5 years.
Problem 3. Find the effective rate corresponding to
each nomianal rate.
(i) 6% compounded quarterly.
(ii) 7.25% compounded semiannually.
Problem 4. Find the amount needed to be invested
now to accumulate the following amount if the money
is compounded as indicated.
(i) $2000 at 7% compounded semiannually for 8 years.
(ii) $8800 at 5% compounded quarterly for 5 years.
Problem 5. Find the interest rate for each deposit
and compound amount.
$8000 accumulating to $11,672.12 compounded
quarterly for 8 years.
(ii) $6725 accumulating to $10,353.47 compounded
monthly for 7 years.
Problem 6. Find the time required for each initial
amount to be at least equal to the final amount.
$8000 deposited at 3% compounded quarterly to
reach at least $23,000.
(ii) $4500 deposited at 3.6% compounded monthly to
reach at least $11,000.
Problem 7.
(i) If $1000 are deposited into an account paying
3% compounded annually for 5 years, how much
money is in the account at the end of the last
deposit?
(ii) If $800 are deposited into an account paying 6.51%
compounded semiannually for 12 years, how much
interest is earned at the end of the last deposit?
Problem 8.
(i) If $10,000 is needed in 12 years, how much should
be deposited at the end of each year into an ac-
count paying 5% compounded annually?
(ii) If $150,000 is needed in 15 years, how much should
be deposited at the end of each month into an
account paying 6% compounded monthly?
Problem 9. You have $8430 in credit card debt. The
interest rate on the unpaid balance is 27% compounded
monthly. You decide to pay off the debt in equal
monthly payments at the end of each month.
(i) What should the monthly payments be to have
the account paid off at the end of 3 years?
(ii) How much interest have you paid?
Problem 10. You have $25,000 in an account that
pays 6% interest compounded annually. You want to
make equal annual withdrawals so that the money lasts
8 years exactly.
(i) Find the amount of each withdrawal.
(ii) Find the amount of each withdrawal if the money
must last 12 years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0ac1184-4e27-4209-99ea-be37e01f0f2b%2F27724025-b013-44e2-af3a-82caecd534a7%2Fywqj57o_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1. Find the maturity value of the following
simple interest investments.
(i) $3125 invested at 2.85% for 7 months.
(ii) $12,000 at 5.3% for 11 months.
Problem 2. Find the future value of the following
investments.
(i) $15,000 iinvested at 6% compounded monthly for
10 years.
(ii) $8500 at 6.9% compounded quarterly for 5 years.
Problem 3. Find the effective rate corresponding to
each nomianal rate.
(i) 6% compounded quarterly.
(ii) 7.25% compounded semiannually.
Problem 4. Find the amount needed to be invested
now to accumulate the following amount if the money
is compounded as indicated.
(i) $2000 at 7% compounded semiannually for 8 years.
(ii) $8800 at 5% compounded quarterly for 5 years.
Problem 5. Find the interest rate for each deposit
and compound amount.
$8000 accumulating to $11,672.12 compounded
quarterly for 8 years.
(ii) $6725 accumulating to $10,353.47 compounded
monthly for 7 years.
Problem 6. Find the time required for each initial
amount to be at least equal to the final amount.
$8000 deposited at 3% compounded quarterly to
reach at least $23,000.
(ii) $4500 deposited at 3.6% compounded monthly to
reach at least $11,000.
Problem 7.
(i) If $1000 are deposited into an account paying
3% compounded annually for 5 years, how much
money is in the account at the end of the last
deposit?
(ii) If $800 are deposited into an account paying 6.51%
compounded semiannually for 12 years, how much
interest is earned at the end of the last deposit?
Problem 8.
(i) If $10,000 is needed in 12 years, how much should
be deposited at the end of each year into an ac-
count paying 5% compounded annually?
(ii) If $150,000 is needed in 15 years, how much should
be deposited at the end of each month into an
account paying 6% compounded monthly?
Problem 9. You have $8430 in credit card debt. The
interest rate on the unpaid balance is 27% compounded
monthly. You decide to pay off the debt in equal
monthly payments at the end of each month.
(i) What should the monthly payments be to have
the account paid off at the end of 3 years?
(ii) How much interest have you paid?
Problem 10. You have $25,000 in an account that
pays 6% interest compounded annually. You want to
make equal annual withdrawals so that the money lasts
8 years exactly.
(i) Find the amount of each withdrawal.
(ii) Find the amount of each withdrawal if the money
must last 12 years.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education