An company invests a series of level payments at the end of each month into a sinking fund, with no withdrawals allowed over a 25-year period, at the following annual levels: £1600 per annum for the first 11 years followed by £2132 per annum until the end of year 20 (inclusive). Assuming a rate of interest of 5.9% pa convertible monthly throughout the entire period, calculate, to 2 decimal places, the value of this investment at the time of withdrawal of t=25 years.

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
icon
Concept explainers
Question

An company invests a series of level payments at the end of each month into a sinking fund, with no withdrawals allowed over a 25-year period, at the following annual levels:

£1600 per annum for the first 11 years followed by

£2132 per annum until the end of year 20 (inclusive).

Assuming a rate of interest of 5.9% pa convertible monthly throughout the entire period, calculate, to 2 decimal places, the value of this investment at the time of withdrawal of t=25 years.

No tables, only formulas, please

Expert Solution
Step 1: Determine the variables in the question:

Variables in the question:

£1600 per annum for the first 11 years followed by

£2132 per annum until the end of year 20 (inclusive)

The nominal rate of interest of 5.9% pa convertible monthly throughout the entire period.


Require: Value of this investment at the time of withdrawal of t=25 years

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Characteristics of Bonds
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