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valkas [14]
3 years ago
5

Synovec Co. is growing quickly. Dividends are expected to grow at a rate of 20 percent for the next three years, with the growth

rate falling off to a constant 8 percent thereafter. If the required return is 11 percent, and the company just paid a dividend of $1.45, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Business
1 answer:
user100 [1]3 years ago
7 0

Answer:

The  current share price is $71.05

Explanation:

P3 = D3(1 + g)/(R – g)

    = D0[(1 + g1)^3](1 + g2)/(R – g)

    = [$1.45*(1.20)^3(1.08)]/(0.11 – 0.08)  

    = $90.20

The price of the stock today is the PV of the first three dividends, plus the PV of the Year 3 stock price given by:  

P0 = $1.45(1.20)/1.11 + $1.45[(1.20)^2]/1.112 + $1.45[(1.20)^3]/1.113 + $90.20/1.113

    = 1.568 + 1.695 + 1.832 + 65.958

    = $71.05

Therefore, The  current share price is $71.05

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Answer:

Option (A) and (D) are correct.

Explanation:

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3 years ago
Your neighborhood self-service laundry is for sale and you consider investing in this business. For the business alone and no ot
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Answer:

  • The complete present value calcuation is below.

  • The net present value of this project is: $77,930.58 (assuming a value for the sale of the business equal to the purchase price).

Explanation:

For this problem, the first and basic question is:

  • <em>Prepare a net present value calculation for this project. What is the net present value of this project?</em>

<em />

<h2>Solution</h2>

The net present value is equal to: the present value of the future cash flows less present value of the investements.

<u>1. Present value of the future cash flows:</u>

The discount factor is equal to 1 / [1 + (1 + r)ⁿ]

Where:

  • r = 5% = 0.05
  • n = the number of year

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1            $30,000       1/(1 + 0.05)             $30,000/1.05 = $28,571.43

2           $30,000       1/(1 + 0.05)²           $30,000/(1.05)² = $27,210.88

3           $30,000       1/(1 + 0.05)³           $30,000/(1.05)³ = $25,915.13

4           $30,000       1/(1 + 0.05)⁴           $30,000/(1.05)⁴ = $24,681.07

5           $30,000       1/(1 + 0.05)⁵           $30,000/(1.05)⁵ = $23,505.78

5           $240,000*   1/(1 + 0.05)⁵           $240,000/(1.05)⁵ = $188,046.28

*For the year 5 you must also consider the value of the business, which is unknow. You should have some information about it. Although unrealistic, at this stage we can just assume a value: let's say it is the same purchase price: $240,000. That is what the last line shows:

The discount the value of the value of the business is:

  • $240,000 / (1.05)⁵ = $188,046.28

The total present value of the future cash flows is the sum of the present values of all the cash flows:

$28,571.43 + $27,210.88 + $25,915.13 + $24,681.07 + $23,505.78 + $188,046.28 = $317,930.58

<u>2. Calculate the net present value:</u>

  • Net present value =

                     = Total present value of future cash flows - investment

  • Net present value = $317,930.58 - $240,000 = $77,930.58
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