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Change all % to decimals This question applies to all parts below Company A currently has a stock price $20/per share, with outstanding shares 2 Mil shares

Finance Jan 22, 2021

Change all % to decimals

This question applies to all parts below

Company A currently has a stock price $20/per share, with outstanding shares 2 Mil shares. It also has outstanding debt of 20 Mil. Tax rate is 30%. Its annual bond with 10 year maturity date has a price now $886, par value $1000 and coupon rate is 7%. It has a beta of risk 1.2, risk free rate 4% and market index return 9%.

Please answer following parts with above information

Part1) what is the cost of debt before tax?

Part 2) what is the after tax cost of debt?

Part 3) how much is total equity?

Part 4) what is the cost of equity?

Part5) what is the weight of debt?

Part 6) what is the WACC?

Expert Solution

Answer to Part 1:

Face Value = $1,000
Current Price = $886

Annual Coupon Rate = 7.00%
Annual Coupon = 7.00% * $1,000
Annual Coupon = $70

Time to Maturity = 10 years

Let Annual YTM be i%

$886 = $70 * PVIFA(i%, 10) + $1,000 * PVIF(i%, 10)

Using financial calculator:
N = 10
PV = -886
PMT = 70
FV = 1000

I = 8.76%

Annual YTM = 8.76%

Before-tax Cost of Debt = Annual YTM
Before-tax Cost of Debt = 8.76% or 0.0876

Answer to Part 2:

After-tax Cost of Debt = Before-tax Cost of Debt * (1 - Tax Rate)
After-tax Cost of Debt = 8.76% * (1 - 0.30)
After-tax Cost of Debt = 6.13% or 0.0613

Answer to Part 3:

Number of Shares = 2,000,000
Current Price = $20

Market Value of Equity = Number of Shares * Current Price
Market Value of Equity = 2,000,000 * $20
Market Value of Equity = $40,000,000

Answer to Part 4:

Cost of Equity = Risk-free Rate + Beta * (Market Return - Risk-free Rate)
Cost of Equity = 4.00% + 1.20 * (9.00% - 4.00%)
Cost of Equity = 4.00% + 1.20 * 5.00%
Cost of Equity = 10.00% or 0.1000

Answer to Part 5:

Market Value of Debt = Face Value of Debt * Market Quote
Market Value of Debt = $20,000,000 * ($886/$1,000)
Market Value of Debt = $17,720,000

Market Value of Firm = Market Value of Debt + Market Value of Equity
Market Value of Firm = $17,720,000 + $40,000,000
Market Value of Firm = $57,720,000

Weight of Debt = Market Value of Debt / Market Value of Firm
Weight of Debt = $17,720,000 / $57,720,000
Weight of Debt = 0.3070

Answer to Part 6:

Weight of Equity = Market Value of Equity / Market Value of Firm
Weight of Equity = $40,000,000 / $57,720,000
Weight of Equity = 0.6930

WACC = Weight of Debt * After-tax Cost of Debt + Weight of Equity * Cost of Equity
WACC = 0.3070 * 6.13% + 0.6930 * 10.00%
WACC = 8.81% or 0.0881

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