55.2k views
4 votes
The Red Bud Co. pays a constant dividend of $1.80 a share. The company announced today that it will continue to do this for another 2 years after which time they will discontinue paying dividends permanently. What is one share of this stock worth today if the required rate of return is 7.4 percent?

a. $3.24
b. $1.93
c. $3.60
d. $5.04
e. $2.00

1 Answer

1 vote

Final answer:

To determine the worth of Red Bud Co.'s stock, we use the present value of the dividend payments, assuming a 7.4% required rate of return. Calculating the present value of two $1.80 dividends to be received over the next two years, the stock is valued at $3.24 today.

Step-by-step explanation:

To determine the value of a share of stock for Red Bud Co. that pays constant dividends with a specified endpoint, one would use the dividend discount model for a finite period. According to the details provided, Red Bud Co. will be paying a dividend of $1.80 per share for the next two years, after which no further dividends will be paid. Given a required rate of return of 7.4%, we calculate the present value of the dividends.

To calculate the present value (PV) of the anticipated dividends, we use the formula:

PV of Dividends = Dividend / (1 + required rate of return)^n

Where:



The total PV of the dividends is the sum of the present values of each individual dividend payment.

For the first payment:

PV1 = $1.80 / (1 + 0.074)^1 = $1.68

For the second payment:

PV2 = $1.80 / (1 + 0.074)^2 = $1.56

Now, we sum these two amounts to find the total value of the stock:

Value of stock = PV1 + PV2= $1.68 + $1.56= $3.24

Therefore, option a, $3.24, is the current worth of one share of Red Bud Co.’s stock if they are paying constant dividends for two more years before ceasing dividend payments.

User Victwise
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.