Answer:
a) $3,458
Explanation:
The net present value is the present value of future cash flows discounted at the firm's weighted average cost of capital(which is the appropriate discount rate in this case) minus the initial investment outlay
cost of equity=risk-free rate+beta*(expected market return-risk free rate)
cost of equity=2.5%+1.5*(12%-2.5%)
cost of equity=16.75%
after-tax cost of debt=5.2%*(1-21%)
after-tax cost of debt=4.11%
WACC=(weight of equity*cost of equity)+(weight of debt*after-tax cost of debt)
weight of equity=value of equity/(value of equity+value of debt)
value of equity=6 billion*$3=$18 billion
value of debt=$5 billion
weight of equity=$18 billion/($18 billion+$5 billion)
weight of equity=78.26%
weight of debt=1-78.26%
weight of debt=21.74%
WACC=(78.26%*16.75%)+(21.74%*4.11%)
WACC=14.00%
present value of a future cash flow=future cash flow/(1+WACC)^n
n is the year in which the cash flow is expected, it is 1 for year 1 cash flow, 2 for year 2 cash flow ,and so on
NPV of project B=1000/(1+14%)^1+1000/(1+14%)^2++4000/(1+14%)^3+1000/(1+14%)^4+1000/(1+14%)^5-2000
NPV of project B=$ 3,458.00
