Using the following information of stock. How much will the investor to be willing to pay for this stock now? ● The stock will not pay any dividends for first two years. The dividend three years from now is expected to be $1. After that, dividends are expected to grow at rate of 7% annually. Market discount rate is 17%. A. 5.31 B. 6.31 C. 7.31 D. 4.31 E. None of above

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
Please answer questions only no need to show work
## Financial Mathematics Exercise

### Questions

**5. Stock Valuation:**
Using the provided information, calculate the price an investor is willing to pay for a stock. Consider:
- The stock will not distribute dividends for the first two years.
- A dividend of $1 is anticipated in three years.
- Dividends are forecasted to grow annually at a rate of 7% thereafter.
- The market discount rate is 17%.

Options:
- A. 5.31
- B. 6.31
- C. 7.31
- D. 4.31
- E. None of the above

**6. Present Value of Growth Opportunities (PVGO):**
Baruch Corp. projects earnings of $3.2 per share next year, reinvesting 21.88% of earnings (translating to a dividend of $2.5 per share, or 78.12% of earnings paid out). Given constant sustainable growth of dividends, and a stock price of $30, determine the portion of this price attributable to PVGO, assuming a 20% required return.

Options:
- A. 13
- B. 14
- C. 15
- D. 16
- E. None of the above

**7. Effective Annual Rate Calculation:**
With an Annual Percentage Rate (APR) of 7.5% which is compounded semiannually, calculate the sum of these equivalent APRs:
- Compounded continuously
- Compounded quarterly

Options:
- A. 0.1469
- B. 0.1479
- C. 0.1489
- D. 0.1499
- E. 0.1509

---
These exercises aim to improve your understanding of stock valuation, growth opportunities, and APR calculations within the context of financial mathematics.
Transcribed Image Text:## Financial Mathematics Exercise ### Questions **5. Stock Valuation:** Using the provided information, calculate the price an investor is willing to pay for a stock. Consider: - The stock will not distribute dividends for the first two years. - A dividend of $1 is anticipated in three years. - Dividends are forecasted to grow annually at a rate of 7% thereafter. - The market discount rate is 17%. Options: - A. 5.31 - B. 6.31 - C. 7.31 - D. 4.31 - E. None of the above **6. Present Value of Growth Opportunities (PVGO):** Baruch Corp. projects earnings of $3.2 per share next year, reinvesting 21.88% of earnings (translating to a dividend of $2.5 per share, or 78.12% of earnings paid out). Given constant sustainable growth of dividends, and a stock price of $30, determine the portion of this price attributable to PVGO, assuming a 20% required return. Options: - A. 13 - B. 14 - C. 15 - D. 16 - E. None of the above **7. Effective Annual Rate Calculation:** With an Annual Percentage Rate (APR) of 7.5% which is compounded semiannually, calculate the sum of these equivalent APRs: - Compounded continuously - Compounded quarterly Options: - A. 0.1469 - B. 0.1479 - C. 0.1489 - D. 0.1499 - E. 0.1509 --- These exercises aim to improve your understanding of stock valuation, growth opportunities, and APR calculations within the context of financial mathematics.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 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.
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