. The dividend on Simple Motors common stock will be $3 in 1 year, $4.25 in 2 years, and $6.00 in 3 years. You can sell the stock for $100 in 3 years. If you require a 12% return on your investment, how much would you be willing to pay for a share of this stock today?

Respuesta :

Answer:

P₀ = $ 81.51

Explanation:

given,

common stock = $3 in 1 year, $4.25 in 2 years, and $6.00 in 3 years.

require rate of return = 12%

Amount payable = ?

Price

[tex]P_O = \dfrac{P_1}{1 + r}+ \dfrac{P_2}{(1 + r)^2} +\dfrac{P_3}{(1 + r)^3}[/tex]

[tex]P_O = \dfrac{3}{1 + 0.12}+ \dfrac{4.25}{(1 + 0.12)^2} +\dfrac{100 +6}{(1 + 0.12)^3}[/tex]

[tex]P_O = \dfrac{3}{1.12}+ \dfrac{4.25}{(1.12)^2} +\dfrac{106}{(1.12)^3}[/tex]

[tex]P_O = \dfrac{3}{1.12}+ \dfrac{4.25}{1.2544} +\dfrac{106}{1.405}[/tex]

P₀ = $ 81.51

The investment would be equal to P₀ = $ 81.51