Standard, Inc. reported EBIT of $35 million for last year. Depreciation expense totaled $20 million and capital expenditures came to $7 million. Free cash flow is expected to grow at a rate of 6 percent for the foreseeable future. Stuart faces a 21 percent tax rate and has a .40 debt to equity ratio with $120 million (market value) in debt outstanding. Standard's equity beta is 1.25, the risk-free rate is currently 5 percent and the market risk premium is estimated to be 7.5 percent. What is the current value (in millions) of Standard's equity?

Question

contestada

Respuesta :

Tundexi Tundexi · Answer 1 · 2021-02-15T15:34:31+01:00

Answer:

$710.84 million

Explanation:

Net income = $35 million

Depreciation = $20 million

Capital expenditures = $7 million

Tax rate = 21%

D/E ratio = 0.4

Growth rate = 6%

Equity beta = 1.25

So, firm's asset beta = Equity beta/(1 + D/E*(1-T))

= 1.25/(1 + 0.4*(1-0.21))

= 0.94985

So, Free Cash Flow to the Firm= NI + Depreciation - Capital expenditures

= 35 + 20 - 7

= $48 million

Risk free rate Rf = 5%

Market risk premium = 7.5%

So, firm cost of capital using CAPM is Rf + Beta*(MRP)

Kc = 5 + 0.94985*7.5

Kc = 12.1239

So, Firms value using constant dividend growth model:

FV = FCF*(1+g)/(Kc-g)

FV = 48*1.06 / 0.121239-0.06

FV = 50.88 / 0.061239

FV = 830.8430901876255

FV = $830.84 million

Debt = $120 million

Market Value of equity = FV - Debt

Market Value of equity = $830.84 million - $120 million

Market Value of equity = $710.84 million