Calculate the present value (PV) of the dividend paid today (Do) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
icon
Related questions
icon
Concept explainers
Topic Video
Question
2. Dividends and stock values
The following graph shows the value of a stock's dividends over time. The stock's current dividend is $1.00 per share, and dividends are expected to grow at a constant rate
of 4.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many
people find it difficult to imagine adding up an infinite number of dividends.
Calculate the present value (PV) of the dividend paid today (Do) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now
(D 10, D20, D50). Assume that the stock's required return (rs) is 5.40%.
Note: Carry and round the calculations to four decimal places.
Time Period
Dividend's Expected Future Value
Dividend's Expected Present Value
Now
End of Year 10
End of Year 20
End of Year 50
Using the blue curve (circle symbols), plot the future value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the FV of
a particular dividend payment will increase depending on how far from today the dividend is expected to be received.
Note: Round each of the discounted values of the dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the points in the graph to
see their coordinates.
Transcribed Image Text:2. Dividends and stock values The following graph shows the value of a stock's dividends over time. The stock's current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 4.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends. Calculate the present value (PV) of the dividend paid today (Do) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (D 10, D20, D50). Assume that the stock's required return (rs) is 5.40%. Note: Carry and round the calculations to four decimal places. Time Period Dividend's Expected Future Value Dividend's Expected Present Value Now End of Year 10 End of Year 20 End of Year 50 Using the blue curve (circle symbols), plot the future value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the FV of a particular dividend payment will increase depending on how far from today the dividend is expected to be received. Note: Round each of the discounted values of the dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the points in the graph to see their coordinates.
Using the blue curve (circle symbols), plot the future value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the FV of
a particular dividend payment will increase depending on how far from today the dividend is expected to be received.
Note: Round each of the discounted values of the dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the points in the graph to
see their coordinates.
10.00
Expected Dividends
8.00
FV of Dividends
6.00
4.00
2.00
PV of Dividends
A
10
20
30
40
50
60
YEARS
DIVIDENDS ($)
Transcribed Image Text:Using the blue curve (circle symbols), plot the future value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the FV of a particular dividend payment will increase depending on how far from today the dividend is expected to be received. Note: Round each of the discounted values of the dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the points in the graph to see their coordinates. 10.00 Expected Dividends 8.00 FV of Dividends 6.00 4.00 2.00 PV of Dividends A 10 20 30 40 50 60 YEARS DIVIDENDS ($)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Stock Valuation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, accounting and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
Accounting
ISBN:
9781259964947
Author:
Libby
Publisher:
MCG
Accounting
Accounting
Accounting
ISBN:
9781337272094
Author:
WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.
Publisher:
Cengage Learning,
Accounting Information Systems
Accounting Information Systems
Accounting
ISBN:
9781337619202
Author:
Hall, James A.
Publisher:
Cengage Learning,
Horngren's Cost Accounting: A Managerial Emphasis…
Horngren's Cost Accounting: A Managerial Emphasis…
Accounting
ISBN:
9780134475585
Author:
Srikant M. Datar, Madhav V. Rajan
Publisher:
PEARSON
Intermediate Accounting
Intermediate Accounting
Accounting
ISBN:
9781259722660
Author:
J. David Spiceland, Mark W. Nelson, Wayne M Thomas
Publisher:
McGraw-Hill Education
Financial and Managerial Accounting
Financial and Managerial Accounting
Accounting
ISBN:
9781259726705
Author:
John J Wild, Ken W. Shaw, Barbara Chiappetta Fundamental Accounting Principles
Publisher:
McGraw-Hill Education