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 3.50% 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 (De) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (Die, Dao, Doo). Assume that the stock's required return (r.) is 10.40%. Note: Carry and round the calculations to four decimal places. Time Period Now End of Year 10 End of Year 20 End of Year 50 Dividend's Expected Future Value Dividend's Expected Present Value Using the orange curve (square symbols), plot the present value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the PV of a particular dividend payment will decrease 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.

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
Topic Video
Question
4. Expected dividends as a basis for 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 3.50% 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 (De) and the discounted value of the dividends expected to be paid 10, 20, and 50 years
from now (Dio, Dao, Duo). Assume that the stock's required return (r.) is 10.40%.
Note: Carry and round the calculations to four decimal places.
Time Period
Now
End of Year 10
End of Year 20
End of Year 50
Dividend's Expected Future Value Dividend's Expected Present Value
Using the orange curve (square symbols), plot the present value of each of the expected future dividends for years 10, 20, and 50. The resulting curve
will illustrate how the PV of a particular dividend payment will decrease 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.
6.00
O
Transcribed Image Text:4. Expected dividends as a basis for stock values The following graph shows the value of a stock's dividends over time. The stock's current dividend is $1.00 per share, and dividends are expected to grow at a constant rate of 3.50% per year. The intrinsic value of a stock should equal the sum of the present value (PV) of all of the dividends that a stock is supposed to pay in the future, but many people find it difficult to imagine adding up an infinite number of dividends, Calculate the present value (PV) of the dividend paid today (De) and the discounted value of the dividends expected to be paid 10, 20, and 50 years from now (Dio, Dao, Duo). Assume that the stock's required return (r.) is 10.40%. Note: Carry and round the calculations to four decimal places. Time Period Now End of Year 10 End of Year 20 End of Year 50 Dividend's Expected Future Value Dividend's Expected Present Value Using the orange curve (square symbols), plot the present value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the PV of a particular dividend payment will decrease depending on how far from today the dividend is expected to be received. Note: Round each of the discounted values of the dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the points in the graph to see their coordinates. 6.00 O
Using the orange curve (square symbols), plot the present value of each of the expected future dividends for years 10, 20, and 50. The resulting curve
will illustrate how the PV of a particular dividend payment will decrease depending on how far from today the dividend is expected to be received.
Note: Round each of the discounted values of the dividends to the nearest tenth decimal place before plotting it on the graph. You can mouse over the
points in the graph to see their coordinates.
6.00
DIVIDENDS ($)
5.00
400
200
E
2.00
1.00
20
FV of Dividendy
YEARS
PV of Dredends
-0-
Discounted Dividends
(?
Transcribed Image Text:Using the orange curve (square symbols), plot the present value of each of the expected future dividends for years 10, 20, and 50. The resulting curve will illustrate how the PV of a particular dividend payment will decrease 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. 6.00 DIVIDENDS ($) 5.00 400 200 E 2.00 1.00 20 FV of Dividendy YEARS PV of Dredends -0- Discounted Dividends (?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 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, 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