Question

Given the following:A firms projected free cash flows of2021 $20 million2022 $30 million2023 $50 millionAfter 2023, the growth rate will be steady at 4%Cost of capital (WACC) = 8%Value of marketable securities = $20 millionValue of long term debt = $12 million10 million shares outstanding calculate: a. the horizon value b. the Value of operations c. the stock price SHOW WORK FOR CREDIT:

Answer 1

Answer:

a) $1,300 million

b) $1,115.91 million

c) $112.39

Explanation:

To find horizon value, value of operations, and the stock price we need to go through calculations using appropriate formulas.

DATA

Free CashFlow, 2021 = $20 million

Free CashFlow,, 2022 = $30 million

Free CashFlow,, 2023 = $50 million

Growth Rate = 4%

Cost of Capital = 8%

Value of Long-term Debt = 12 million

Value of marketable securities = $20 million

outstanding shares = 10 million

Working

Free CashFlow,, 2024 = Free CashFlow,, 2023 * (1 + Growth Rate)

Free CashFlow,, 2024 = $50 million * 1.04

Free CashFlow,, 2024 = $52 million

Horizon Value

Horizon Value = Free CashFlow, 2024 / (Cost of Capital - Growth Rate)

Horizon Value = $52 million / (0.08 - 0.04)

Horizon Value = $52 million / 0.04

Horizon Value = $1,300 million

Value of operation

Value of Operations = $20 million / 1.08 + $30 million / 1.08^2 + $50 million / 1.08^3 + $1,300 million / 1.08^3

Value of Operations = $1,115.91 million

Stock price

To find the price per share we need to find the value of equity first

Value of Equity = Value of Operations - Value of Long-term Debt + Value of Marketable Securities

Value of Equity = $1,115.91 million - $12.00 million + $20.00 million

Value of Equity = $1,123.91 million

Price per share = Value of Equity / Number of Shares

Price per share = $1,123.91 million / 10 million

Price per share = $112.39