Question

Dozier Corporation is a fast-growing supplier of office products. Analysts project the following free cash flows (FCFs) during the next 3 years, after which FCF is expected to grow at a constant 5% rate. Dozier's weighted average cost of capital is WACC = 17%.

Year123Free cash flow ($ millions)-$20$30$40

1. What is Dozier's horizon value? (Hint: Find the value of all free cash flows beyond Year 3 discounted back to Year 3.) Round your answer to two decimal places. Enter your answer in millions of dollars.
   
   $   million
   

2. What is the current value of operations for Dozier? Round your answer to two decimal places. Round intermediate calculations to two decimal places. Enter your answer in millions of dollars.
   
   $   million
   

3. Suppose Dozier has $10 million in marketable securities, $100 million in debt, and 10 million shares of stock. What is the intrinsic price per share? Round your answer to the nearest cent. Round intermediate calculations to two decimal places.
   
   $  

Answer 1

a. The horizon value is computed as shown below:

= [ FCCF in year 3 (1 + growth rate) ] / ( WACC - growth rate)

= [ $ 40 million (1 + 0.05) ] / (0.17 - 0.05)

= $ 42 million / 0.12

= $ 350 million

b. The amount is computed as follows:

= FCF1 / (1 + WACC) + FCF 2 / (1 + WACC)² + FCF3 / (1 + WACC)³ + 1 / (1 + WACC)³ [ ( FCF in year 3 (1 + growth rate) / (WACC - growth rate) ]

= - $ 20 million / 1.17 + $ 30 million / 1.17² + $ 40 million / 1.17³ + 1 / 1.17³ x [ ($ 40 million x 1.05) / (0.17 - 0.05)

= - $ 20 million / 1.17 + $ 30 million / 1.17² + $ 40 million / 1.17³ + $ 350 million / 1.17³

= - $ 20 million / 1.17 + $ 30 million / 1.17² + $ 390 million / 1.17³

= $ 248.3259064 million or $ 248.33 million Approximately

c. The current price per share is computed as follows:

= (Value computed in part b above + Marketable securities - Debt) / Number of shares outstanding

= ($ 248.3259064 million + $ 10 million - $ 100 million) / 10 million shares

= $ 15.83 Approximately