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Magnetic Corporation expects dividends to grow at a rate of 17% for the next two years....

Magnetic Corporation expects dividends to grow at a rate of 17% for the next two years. After two years dividends are expected to grow at a constant rate of 6.1%, indefinitely. Magnetic’s required rate of return is 11.2% and they paid a $1.65 dividend today. What is the value of Magnetic Corporation’s common stock per share? (Show your answers to the nearest cent)

Dividend at end of year 1:

Dividend at end of year 2:

Dividend at end of year 3:

Price of stock at end of year 2:

Price of stock today:

Solutions

Expert Solution

Required rate 11.20%
Year Previous year dividend Dividend growth rate Dividend current year Horizon value Total Value Discount factor Discounted value
1 1.65 17% 1.9305 1.9305 1.112 1.7361
2 1.9305 17% 2.258685 46.99 49.248685 1.237 39.813
Long term growth rate = 6% Value of Stock = Sum of discounted value = 41.55
Where
Discount factor= (1+ required rate)^N
Discounted value= total value/discount factor
Total value = Dividend + terminal value
Horizon value = year 2 Dividend *(1+long term gro wth rate)/( required rate-long term growth rate)

Dividend at end of year 1:1.93

Dividend at end of year 2:2.26

Dividend at end of year 3:= year 2 dividend*(1+long term growth rate) = 2.258*(1+0.061)=2.40

Price of stock at end of year 2= horizon value = 46.99

Price of stock today:41.55


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