Question

USA National Bank offers a 9% nominal annual interest rate, compounded monthly on its savings accounts, while Western Regional Bank offers the same effective annual return, but interest is compounded quarterly. What nominal annual rate does Western Regional Bank offer on its savings accounts?

          USA National Bank offers a 9% nominal annual interest rate, compounded monthly on its savings accounts, while Western Regional Bank offers the same effective annual return, but interest is compounded quarterly.  What nominal annual rate does Western Regional Bank offer on its savings accounts?
        
Show more…

Added by Adri-N D.

Horngren’s Cost Accounting
Horngren’s Cost Accounting
Srikant M. Datar, Madhav V. Rajan 16th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
USA National Bank offers a 9% nominal annual interest rate, compounded monthly on its savings accounts, while Western Regional Bank offers the same effective annual return, but interest is compounded quarterly. What nominal annual rate does Western Regional Bank offer on its savings accounts?
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner David Collins
Danielle Fairburn verified

Danielle Fairburn and 99 other subject Principles of Accounting educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Recommended Videos

-
a-bank-offers-a-savings-account-with-monthly-compounding-and-a-stated-annual-rate-of-8-if-would-like-to-offer-a-savings-account-with-quarterly-compounding-with-an-equivalent-annual-rate-what-stated-ra

A bank offers a savings account with monthly compounding and a stated annual rate of 8%. If would like to offer a savings account with quarterly compounding with an equivalent annual rate. What stated rate should it use on the quarterly compounding rate? Please give an accurate answer.

Danielle F.

a-bank-offers-a-savings-account-with-a-stated-annual-rate-of-10-with-interest-compounded-quarterly-suppose-that-the-bank-wants-to-switch-to-monthly-compounding-but-use-an-annual-stated-rate-that-leave

• A bank offers a savings account with a stated annual rate of 10% with interest compounded quarterly. Suppose that the bank wants to switch to monthly compounding, but use an annual stated rate that leaves savers no worse off or better off at the end of the year compared to their current situation. What stated annual interest rate should it use with monthly compounding?

Gregory H.

bank-a-offers-an-account-that-earns-interest-at-the-nominal-rate-of-39-compounded-quarterly-bank-b-wishes-to-offer-an-account-that-has-the-same-annual-effective-yield-as-bank-a-but-compounds-38244

Bank ‘A’ offers an account that earns interest at the nominal rate of 3.9%, compounded quarterly. Bank ‘B’ wishes to offer an account that has the same annual effective yield as Bank ‘A’, but compounds monthly. What interest rate should they charge? (state your answer as a nominal rate)

Steven C.


*

Recommended Textbooks

-
Horngren’s Cost Accounting

Horngren’s Cost Accounting

Srikant M. Datar, Madhav V. Rajan 16th Edition
achievement 1,355 solutions
Cost Accounting A Managerial Emphasis

Cost Accounting A Managerial Emphasis

Charles T. Horngren, Srikant M. Datar, Madhav V. Rajan 14th Edition
achievement 1,697 solutions
Principles of Accounting Volume 1: Financial Accounting

Principles of Accounting Volume 1: Financial Accounting

Mitchell Franklin, Patty Graybeal, Dixon Cooper 1st Edition
achievement 1,719 solutions

*

Transcript

-
00:01 So a bank offers a savings account with monthly compounding.
00:08 That means that your frequency of compounding is 12 times per year.
00:13 And the stated annual rate that is compounded 12 times per year is 8%, or 0 .08.
00:26 Then the annual rate or effective rate is going to be 1 plus the compounded monthly rate divided by the number of months in a year, so 0 .08, 8 divided by 12 to the 12th, the number of compounding periods.
01:15 So this then is equal to, let's see here, 1 .0823 minus 1, which is 0 .0823, or 8 .23%.
01:40 It's your effective annual rate.
01:43 But we want to offer a savings account with quarterly compounding.
01:50 Then let's see if r is the quarterly compounded rate...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever