Question

Big Red Machines, a startup, has come up with a new product and has seen significant customer demand. Due to reinvestment in the firm (100% plowback ratio) Big Red Machines will pay no dividends in the first 2 years. Beginning in the 3rd through 6th years, the firm expects to pay $1.50, $1.60, and $1.75 In the 6th year, the firm should see stable growth rates and thus begin a divided which grows at 3% per year. You plan to graduate 1 year from now, and hope to invest in Big Red Machines at that time. The expected rate of return is 8% What is the value of Big Red Machine's stock one year from today

Answer 1

Answer:

The correct answer is "$ 30.34".

Explanation:

The value of the stock can be computed by the following formula:

⇒  $\frac{Dividend \ in \ year \ 3}{(1 + Required \ return \ rate)2} + \frac{Dividend \ in \ year \ 4}{(1 + Required \ return \ rate)3} + \frac{Dividend \ in \ year \ 5}{(1 + Required \ return \ rate) 4 } + \frac{1}{(1 + Required \ return \ rate)4 }\times [\frac{( Dividend \ in \ year \ 5 (1 + Growth \ rate)} {( Required \ return \ rate - Growth \ rate)}]$

On putting the values, we get

⇒  $\frac{1.50}{1.08^2} + \frac{1.60}{1.08^3} + \frac{1.75}{1.08^4 } + \frac{1}{1.08^4} \times [ \frac{( 1.75\times 1.03)}{(0.08 - 0.03)}]$

⇒  $\frac{1.50}{1.08^2 } + \frac{1.60}{ 1.08^3 } + \frac{37.80}{ 1.08^4 }$

⇒  $30.34$ ($)