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Lerok [7]
3 years ago
13

Uncle John's Pipe Company has been experiencing several years of financial difficulty and, thus, has considered maintaining its

dividend payment at $2.50 indefinitely. What is the value of its common stock if the required rate of return is 8.5 percent?
Business
2 answers:
Iteru [2.4K]3 years ago
6 0

Answer:

The value of its common stock is $29.41

Explanation:

As the Dividend payment is for indefinite period of time, This is the perpetuity payment. The value of share can be determined  by calculating the present value of perpetuity payment.

The formula for the present value of perpetuity is as follow

Present value of perpetuity = Cash flow / Required Rate of return

In this case the present value of perpetuity is the value of stock cash flows is The dividend payment.

Value of Stock = Dividend / Required Rate of return

Value of Stock = $2.5 / 8.5%

Value of Stock  = $29.41

Mars2501 [29]3 years ago
6 0

Answer: Value of the common stock = $29.41

Explanation:

GIVEN the following ;

Dividend =$2.50

Rate of return (r) = 8.5% 0.085

The question above requires us to calculate the value of common stock which is equivalent to the present value of perpetuity which is the amount of a fixed income or cash flow an individual earns at regular interval for an INDEFINITE period.

RECALL;

PRESENT VALUE of PERPETUITY IS GIVEN BY:

PV of perpetuity = (Dividend or coupon per period ÷ interest rate(r))

PV of perpetuity = ($2.50 ÷ 0.085)

PV of perpetuity = $29.411

PV of perpetuity = $29.41

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Answer:

Ans. the value of the stock today is $6.31

Explanation:

Hi, we need to bring to present value all the cash flows of this stock, that is bringing to present value the cash flows from year 1 through 6 and the horizon value which is the value in year 6 of the cash flows from 6 and beyond.

The formula to use for the dividends from year 1 - 6 is:

PresentValue=\frac{Dividend((1+r)^{n}-1) }{r(1+r)^{n} }

Where:

r = is the discount rate

n = number of consecutive dividends

And the present value of the horizon value is:

PV(Horizon)=\frac{Dividend*(1+g)}{(r-g)} *\frac{1}{(1+r)^{n} }

So everything together is:

Price=\frac{Dividend((1+r)^{n}-1) }{r(1+r)^{n} }+\frac{Dividend*(1+g)}{(r-g)} *\frac{1}{(1+r)^{n} }

Now, the numbers

Price=\frac{0.84((1+0.144)^{6}-1) }{0.144(1+0.144)^{6} }+\frac{0.84*(1+0.02)}{(0.144-0.02)} *\frac{1}{(1+0.144)^{6} }=3.23+3.08=6.31

So based on the future cash flows of this share, its fair price is $6.31

Best of luck.

7 0
3 years ago
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Answer:

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