In: Finance
You’ve identified a comparable firm for a new division you are heading up. The comparable has an equity beta of 1.4 and its debt has a beta of 0.3. The equity of the comparable has a market value of $30B and has $4B in debt outstanding. The market risk premium is 6% and the risk-free rate is 2%. What is the appropriate discount rate to use for your division’s assets/projects?
As per CAPM model
Cost of equity = risk free rate + beta of equity * market risk premium
Where, Cost of equity =?
Risk free rate = 2%
Beta of equity β =1.4
And market risk premium =6%
Therefore,
Cost of equity = 2% + 1.4 *6% = 10.4%
Debt is not risk-free as beta of debt is 0.3
Therefore,
Cost of debt = risk free rate + beta of debt * market risk premium
= 2% + 0.3 *6% = 3.8%
To calculate the appropriate discount rate to use for your division’s assets/projects; we have to calculate the weighted average cost of capital (WACC)
WACC = (E/ E+D) * re + (D/ E+D) * rd (assume that there is no taxes)
Where,
re is the cost of equity = 10.4%
And rd is the cost of debt = 3.8%
D = value of Debt = $4B and E= value of Equity = $30B
Therefore,
WACC = ($40B/ $40B +$4B) * 10.4% + ($4B/ $40B +$4B) * 3.8%
WACC = ($40B/ $44B) * 10.4% + ($4B/ $44B) * 3.8%
= 9.45% + 3.5% = 9.8%
The appropriate discount rate to use for your division’s assets/projects is 9.8%