In: Finance
Suppose that an existing machine generates a monthly
cash flow
of $150,000. An investment of $6,000,000 will increase the
cash
flow to $200,000 per month. The relevant monthly discount rate
is1%. Should you invest?
• Let’s use the incremental method:
Period
0.
Periods 1…
• Project 1.
0.
150,000
• Project 2.
-6,000,000
200,000
Diff 2-1.
-6,000,000.
50,000
Incremental NPV = -6000000+ 50000/0.01= -$1,000,000
how come incremental NPV uses 1% rather than (1+r)
As the cash flows are perpetual i.e., permanent or continue indefinitely
We have to use the formula for present value of perpetuity=monthly cash flows/monthly discount rate
Hence, it is 1% or 0.01 and not 1+1% or 1.01