Consider a deposit into a bank with a stated interest rate 6%, compounded quarterly, for 3 years. The periodic interest rate is % and the number of periods would be

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
icon
Related questions
Question
Although annual compounding-interest compounded once per year-is very common and an instructive way to introduce future value calculations,
other compounding periods are possible. For example, semiannual compounding involves interest compounded twice per year.
In such a scenario, you must consider the periodic interest rates and the number of compounding periods. For annual compounding, it is simple the
periodic interest rate is the same as the stated nominal interest rate and the number of compounding periods is simply equal to the number of years.
However, under semiannual compounding, the periodic interest rate is calculated as:
Periodic rate
Stated annual rate
Number of payments per year
For semiannual compounding, this means you would divide the stated annual rate by two.
The number of periods is calculated as:
Number of periods (Number of years) x (Periods per year)
For semiannual compounding, this means you would multiply the number of years by two to get the total number of periods.
Consider a deposit into a bank with a stated interest rate 6%, compounded quarterly, for 3 years.
The periodic interest rate is
% and the number of periods would be
Transcribed Image Text:Although annual compounding-interest compounded once per year-is very common and an instructive way to introduce future value calculations, other compounding periods are possible. For example, semiannual compounding involves interest compounded twice per year. In such a scenario, you must consider the periodic interest rates and the number of compounding periods. For annual compounding, it is simple the periodic interest rate is the same as the stated nominal interest rate and the number of compounding periods is simply equal to the number of years. However, under semiannual compounding, the periodic interest rate is calculated as: Periodic rate Stated annual rate Number of payments per year For semiannual compounding, this means you would divide the stated annual rate by two. The number of periods is calculated as: Number of periods (Number of years) x (Periods per year) For semiannual compounding, this means you would multiply the number of years by two to get the total number of periods. Consider a deposit into a bank with a stated interest rate 6%, compounded quarterly, for 3 years. The periodic interest rate is % and the number of periods would be
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Effective Annual Rate Of Return
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
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
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…
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