Hello,
I'm hoping someone will be able to assist with the problem below. I'm not sure why only $10K is being picked up for years 1 & 2. If any Ninjas can help, I would greatly appreciate it.
Pole Co. is investing in a machine with a 3-year life. The machine is expected to reduce annual cash operating costs by $30,000 in each of the first 2 years and by $20,000 in year 3. Present values of an annuity of $1 at 14% are
Period 1
0.88
2
1.65
3
2.32
Using a 14% cost of capital, what is the present value of these future savings?
A. $69,500
B. $59,600
C. $62,900
D. $60,800
Answer (C) is correct.
The cost reductions constitute two annuities: a 3-year annuity of $20,000 per year and a 2-year annuity of $10,000 per year. Using a 14% cost of capital and ignoring tax effects, the present value of the future savings can be calculated as follows:
PV of 3-year cash savings:
$20,000 × 2.32
=
$46,400
PV of 2-year cash savings:
$10,000 × 1.65
=
16,500
Net present value
$62,900