Question: Using the information below, answer the questions: Firm named Galaxy has a free cash flow (FCF) of $13 million. Galaxy's net income is $50million and

Using the information below, answer the questions:

Firm named Galaxy has a free cash flow (FCF) of $13 million.

Galaxy's net income is $50million and total book equity is $105million

Galaxy's debt-to-equity ratio is 1.25

Galaxy's market value of debt is 150 million

Galaxy's tax rate is 25%

Galaxys FCF and earnings will grow at a constant rate of 3%

Galaxys equity beta is 1.3

US 3 month T-bill rate is 1.5%

S&P 500 market return is 7.5%

Currently Galaxy Interiors do not pay dividends.

There are 10 million shares outstanding.

I only need #2 to be solved, #1 is already solved

#1) What should be the fair stock value per share using the Residual Income Model (RIM) ?

#2) What should be the fair stock value per share using the Free Cash Flow (FCF) Valuation model?

#1) Fair stock value per share using the Residual Income Model (RIM) Formula is Current Book value of equity +PV of residual income where,

Book value of equity is given as $ 105 mln.

Residual income=Net income-Equity charge Equity charge=Equity capital*Cost of equity

With the given details,we can find the cost of equity as per CAPM

Cost of equity,ke =RFR+Beta*(Market return-RFR)

ie.1.5%+(1.3*(7.5%-1.5%))= 9.3%

So now, Residual income=Net income-Equity charge

ie.50-(105*9.3%)= 40.235

PV of residual income=RI(1)/(ke-g)

ie.40.235*1.03/(9.3%-3%)= 657.8103175 millions

So,total value of equity=BV of Equity+PV of RI

ie.105+657.81= 762.81 millions

No.of shares o/s= 10 mln. So, fair stock value/share=762.81/10= 76.281 ie.$ 77 approx. So, the ANSWER is: #1) stock price per share with RIM = approx. $77

#2)Fair stock value per share using the Free Cash Flow (FCF) Valuation model We will find the total value of firm, discounting the constantly-growing FCFs by using WACC , then subtract debt--to find the value of equity--then finding per share value by dividing by no.of shares o/s, 10 mlns.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Finance Questions!