Answer:
The price of the stock today is $15.63
Explanation:
The three stage Dividend Discount model will be used to calculate the price of this stock as the dividends are growing at three different growth rates. These dividends will be discounted back to calculate the price of the stock today.
The price per share today under this model will be:
P0 = D1 / (1+r) + D2 / (1+r)^2 + ... + Dn / (1+r)^n + [Dn * (1+gC) / (r - gC)] / (1+r)^n
Where,
- D1 is the dividend expected for the next period of Year 1.
- gC is the constant growth rate or third stage growth rate that will last forever.
P0 = 1.25 / (1+0.2) + 1.25 * (1+0.4) / (1+0.2)^2 + 1.25 * (1+0.4) * (1+0.2) / (1+0.2)^3 + 1.25 * (1+0.4) * (1+0.2)^2 / (1+0.2)^4 +
[1.25 * (1+0.4) * (1+0.2)^2 * (1+0.08) / (0.2 - 0.08)] / (1+0.2)^4
The P0 = $15.625 rounded off to $15.63
Using the Gordon Growth Model (a.k.a. Dividend Discount Model), the intrinsic value of a stock can be calculated, exclusive of current market conditions. In this model, the value of the stock is equated to the present value of the stock's future dividends.
<span>Value of stock (P0) = D1 / (k - g)
</span>where
D1<span> = </span><span>expected annual </span>dividend<span> per share in the following year </span>
<span>k = the investor's discount rate or required </span>rate of return
g = the expected dividend growth rate
<u>From the problem:</u>
The value of stock is $10.80
D1 is $0.40
g is 0.08
k is unknown
Solution:
Rearranging the equation for Gordon Growth Model to solve for k:
k = (D1/P0) + g
Substituting the variables with the given values,
k = (0.40/10.80) + 0.08
k = 0.1170
In percent form, this is
0.1170 * 100% = 11.70%.
Thus, the total rate of return on the stock is 11.70%.
For a firm that sells a prestige product, the relationship between price and quantity demanded is a <u>positive direct relationship</u>.
<h3>Why is the relationship between demand and price of prestige products direct?</h3>
The relationship between the demand and price of prestige products is direct because prestige products tend to sell better at high prices than at low prices.
And when the quantity demanded increases, the price tends to increase.
An example of a prestige product is an old car.
Thus, for a firm that sells a prestige product, the relationship between price and quantity demanded is a <u>positive direct relationship</u>.
Learn more about the demand for prestige products at brainly.com/question/6374886
To answer this item, we assume that the interest rate is simple, such that the yearly rate was only divided by 12 months in order to determine the rate per month. Hence, to answer this item, we simply have to multiply the given percent by 12.
rate of interest/year = (12)(0.85%) = 10.2%
Therefore, the answer is 10.2%.
