Synovec Co. is growing quickly. Dividends are expected to grow at a rate of 26 percent for the next 3 years, with the growth rate falling off to a constant 7 percent thereafter. If the required return is 14 percent and the company just paid a $1.90 dividend. what is the current share price

$46.20

Explanation:

Dividend in year 1 = 1.90 x 1.26 = 2.39

Dividend in year 2 = 1.90 x 1.26² = 3.02

Dividend in year 3 = 1.90 x 1.26³ = 3.80

Dividend in year 3 = (3.80 x 1.07) / (0.14 - 0.07) = 58.10

Calculate the present value of these dividends

Present value is the sum of discounted cash flows

Present value can be calculated using a financial calculator

Cash flow in year 1 = 2.39

Cash flow in year 1 = 3.02

Cash flow in year 1 = 3.80 + 58.10

I = 14

PV = $46.20

To determine PV using a financial calculator take the following steps:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

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