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
Dividend Valuation
Dividend refers to a reward or cash that a company gives to its shareholders out of the profits. Dividends can be issued in various forms such as cash payment, stocks, or in any other form as per the company norms. It is usually a part of the profit that the company shares with its shareholders.
Dividend Discount Model
Dividend payments are generally paid to investors or shareholders of a company when the company earns profit for the year, thus representing growth. The dividend discount model is an important method used to forecast the price of a company’s stock. It is based on the computation methodology that the present value of all its future dividends is equivalent to the value of the company.
Capital Gains Yield
It may be referred to as the earnings generated on an investment over a particular period of time. It is generally expressed as a percentage and includes some dividends or interest earned by holding a particular security. Cases, where it is higher normally, indicate the higher income and lower risk. It is mostly computed on an annual basis and is different from the total return on investment. In case it becomes too high, indicates that either the stock prices are going down or the company is paying higher dividends.
Stock Valuation
In simple words, stock valuation is a tool to calculate the current price, or value, of a company. It is used to not only calculate the value of the company but help an investor decide if they want to buy, sell or hold a company's stocks.
![## 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
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These exercises aim to improve your understanding of stock valuation, growth opportunities, and APR calculations within the context of financial mathematics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F811138fb-ddb6-43e9-9a90-152f2a71be5f%2F93d3fee3-d8b5-4421-b563-5fee1f09332c%2Fi8wd2iq_processed.jpeg&w=3840&q=75)
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