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.
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