In: Finance
American Steel has issued $50 million in long-term bonds, with a face value of $1,000 paying a 9% coupon. The bonds are now trading at a 15% premium to their face value providing a yield-to-maturity of 7%. The firm also has 1.5 million shares of common stock that were issued at $43/share at the company’s IPO and are currently trading at $56/share. American Steel is a mature firm that paid a $7 dividend last year, and dividends are expected to grow at 2% indefinitely. American Steel also has 500,000 preferred shares issued that are trading at $10/share with a dividend of $1. Treasury bills are currently yielding 5%, the firm has a Beta of 1.1, and its tax rate is 35%. Please show your answer to one decimal place.
i) What is the value of the firm?
ii)What is the market value of the firm’s debt and equity (common/pref)?
iii) What is the firm’s weighted average cost of capital?
Given
Face value =$1000
Premium value =$1000 + 15% of 1000= $1150
Coupon rete = 9%
Yield to maturity or Cost of Debt =7%
Market value of Equity = No.of shares * Currently trading price = 1.5million *56= $84 million.
Market value of preferred shares= 500,000 * 10= $500,0000.
Market value of debt =$50 million * 1150= $57500 million
Treasury bills or Risk Free rate= 5%
Beta= 1.1
Tax rate= 35%
A) Value of firm or Enterprise Value(EV)= Market capitalization + Preferred stock + Outstanding debt + Minority interest – Cash and cash equivalents
EV= $84million + $500,0000 + $50million +57500 million-0 = $57369,000,000.
B) Market value of Equity = No.of shares * Currently trading price = 1.5million *56= $84 million.
Market value of preferred shares= 500,000 * 10= $500,0000.
Market value of debt =$50 million * 1150= $57500 million
C)
WACC Formula = (E/A * Ke) + (D/A) * Kd * (1 – Tax rate)
Cost of equity can be found by DDM
Ke= Expected Dividend in 1 year ÷ Current Stock Price + Growth Rate
Ke=7/(56+0.02)=0.124
WACC=((84/(84+57500)*0.124)+(57500/(84+57500))*0.07*(1-0.35)= 0.045 or 4.5%
So the firms cost is 4.5%