7. All of the following problems involve interest that is being compounded continuously. (a) Compute the interest rate needed to double an investment every seven years. (b) With a 10% interest, how long will it take to triple an initial investment. (c) Irvin forgot what is the interest rate at his bank. All he knows is that after five years, his initial investment doubled. When will it triple? (Hint: There are two unknowns; one is the interest rate. Whenever there are two unknowns, two equations are needed. So, use the information about money at different times in an appropriate manner.)

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter17: Financial Markets
Section: Chapter Questions
Problem 5SCQ: Investors sometimes fear that a high-risk investment is especially likely to have low returns. Is...
icon
Related questions
Question
7. All of the following problems involve interest that is being compounded
continuously.
(a) Compute the interest rate needed to double an investment every seven years.
(b) With a 10% interest, how long will it take to triple an initial investment.
(c) Irvin forgot what is the interest rate at his bank. All he knows is that
after five years, his initial investment doubled. When will it triple? (Hint:
There are two unknowns; one is the interest rate. Whenever there are two
unknowns, two equations are needed. So, use the information about money
at different times in an appropriate manner.)
(d) A person has money withdrawn from his savings account to be placed in
his checking account at a continuous fixed basis at a rate of $1,000 a year.
This person started with $20,000 placed in the savings account that has a
5% interest. How much will be in the savings account in one year? (Hint: A
different expression for the growth of money needs to be derived. So, start
with AM and, instead of the Equation 2.8 expression, determine what AM
equals in this setting. Then, solve the equation.)
Transcribed Image Text:7. All of the following problems involve interest that is being compounded continuously. (a) Compute the interest rate needed to double an investment every seven years. (b) With a 10% interest, how long will it take to triple an initial investment. (c) Irvin forgot what is the interest rate at his bank. All he knows is that after five years, his initial investment doubled. When will it triple? (Hint: There are two unknowns; one is the interest rate. Whenever there are two unknowns, two equations are needed. So, use the information about money at different times in an appropriate manner.) (d) A person has money withdrawn from his savings account to be placed in his checking account at a continuous fixed basis at a rate of $1,000 a year. This person started with $20,000 placed in the savings account that has a 5% interest. How much will be in the savings account in one year? (Hint: A different expression for the growth of money needs to be derived. So, start with AM and, instead of the Equation 2.8 expression, determine what AM equals in this setting. Then, solve the equation.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Investments
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
ECON MICRO
ECON MICRO
Economics
ISBN:
9781337000536
Author:
William A. McEachern
Publisher:
Cengage Learning
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Brief Principles of Macroeconomics (MindTap Cours…
Brief Principles of Macroeconomics (MindTap Cours…
Economics
ISBN:
9781337091985
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning