Von Bora Corporation (VBC) is expected to pay a $2.75 dividend at the end of this year. If you expect VBC's dividend to grow by 4% per year forever and VBC's equity cost of capital is 11%, then the value of a share of VBS stock is closest to: O A. $39.29 O B. $18.33 O C. $23.57 O D. $15.72
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.
![### Understanding Dividends and Stock Valuation
**Question:**
Von Bora Corporation (VBC) is expected to pay a $2.75 dividend at the end of this year. If you expect VBC's dividend to grow by 4% per year forever and VBC's equity cost of capital is 11%, then the value of a share of VBC stock is closest to:
**Options:**
- A. $39.29
- B. $18.33
- C. $23.57
- D. $15.72
**Explanation:**
To calculate the value of VBC's stock, we can use the Gordon Growth Model (also known as the Dividend Discount Model for a perpetuity that grows), which is given by the formula:
\[ P_0 = \frac{D_1}{r - g} \]
Where:
- \( P_0 \) = Price of the stock today
- \( D_1 \) = Dividend at the end of the year
- \( r \) = Cost of equity (or required rate of return)
- \( g \) = Growth rate of the dividend
Given:
- \( D_1 = \$2.75 \)
- \( r = 11\% = 0.11 \)
- \( g = 4\% = 0.04 \)
Plugging these values into the formula:
\[ P_0 = \frac{2.75}{0.11 - 0.04} \]
\[ P_0 = \frac{2.75}{0.07} \]
\[ P_0 = 39.29 \]
Thus, the value of a share of VBC stock is closest to:
- **A. $39.29**
This calculation demonstrates how the intrinsic value of a stock can be determined based on expected future dividends and the growth rate, taking into account the required return on equity for the investor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b2d2087-0413-432e-842b-e7bfa6e336f7%2F7ce12b84-14b4-4a56-821c-6c232c52bfde%2Fywh8h5b_processed.png&w=3840&q=75)
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