AMC has a project that will last 7 years and have an initial investment of $1,400,000. The after tax cash flows are estimated at $315,000 per year. The targeted debt-to-equity ratio of 1.5. Its pre-tax cost of equity is 14%, and its pre-tax cost of debt is 8%. The tax rate is 40%. Solve for NPV.
Debt to equity ratio=debt/equity
Hence debt=1.5equity
Let equity be $x
Hence debt =$1.5x
Total=$2.5x
After tax cost of debt=8(1-tax rate)
=8(1-0.4)=4.8%
WACC=Respective costs*Respective investment weight
=(x/2.5x*14)+(1.5x/2.5x*4.8)
=8.48%
Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=$315000[1-(1.0848)^-7]/0.0848
=$315000*5.121983187
=$1613424.70
NPV=Present value of inflows-Present value of outflows
=$1613424.70-$1,400,000
=$213424.70(Approx).
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