You deposit $2,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded annually. a. How much money should be in the savings account 17 years after the initial deposit, assuming no further changes in the account's interest rate? b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account Part (a) over the entire 17 year period?

Financial Accounting Intro Concepts Meth/Uses
14th Edition
ISBN:9781285595047
Author:Weil
Publisher:Weil
ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications
Section: Chapter Questions
Problem 31P
icon
Related questions
Question
You deposit $2,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded annually. 

a. How much money should be in the savings account 17 years after the initial deposit, assuming no further changes in the account's interest rate?

b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 17-year period?
Transcribed Image Text:You deposit $2,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. A year after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate; this time the interest rate becomes 8% nominal interest compounded quarterly. Nine years after your deposit, the saving account changes its rate once more to 5% compounded annually. a. How much money should be in the savings account 17 years after the initial deposit, assuming no further changes in the account's interest rate? b. What interest rate, compounded annually, is equivalent to the interest pattern of the saving account in Part (a) over the entire 17-year period?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Annuity
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Financial Accounting Intro Concepts Meth/Uses
Financial Accounting Intro Concepts Meth/Uses
Finance
ISBN:
9781285595047
Author:
Weil
Publisher:
Cengage
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT
Principles of Accounting Volume 1
Principles of Accounting Volume 1
Accounting
ISBN:
9781947172685
Author:
OpenStax
Publisher:
OpenStax College