Answer:
NPV of CAM X = $1,930,110.40
NPV of CAM Y = $2,251,795.46
Step-by-step explanation:
The NPV for each project can be calculated using the following steps:
Step 1: Calculation of present value (PV) for each project
The PV for each project can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV of a project = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)
Where;
For CAM X
P = Net annual after-tax cash inflow = $900,000
r = Cost of capital or interest rate = 10%, or 0.10
n = number of project life = 10
Substitute the values into equation (1) to have:
PV of CAM X = $900,000 * [{1 - [1 / (1 + 0.10)]^10} / 0.10]
PV of CAM X = $900,000 * 6.14456710570468
PV of CAM X = $5,530,110.40
For CAM Y
P = Net annual after-tax cash inflow = $1,050,000
r = Cost of capital or interest rate = 10%, or 0.10
n = number of project life = 10
Substitute the values into equation (1) to have:
PV of CAM Y = $1,050,000 * [{1 - [1 / (1 + 0.10)]^10} / 0.10]
PV of CAM Y = $1,050,000 * 6.14456710570468
PV of CAM Y = $6,451,795.46
Step 2: Calculation of net present value (NPV) for each project
The NPV for each project can be calculated using the following formula:
NPV of each project = PV of each equipment - Purchase price of each equipment ........ (2)
Using equation (2), we have:
NPV of CAM X = PV of CAM X - Purchase price of CAM X = $5,530,110.40 - $3,600,000 = $1,930,110.40
NPV of CAM Y = PV of CAM Y - Purchase price of CAM Y = $6,451,795.46 - $4,200,000 = $2,251,795.46
Additional Note:
Although this not part of the requirement of the question, but note that the final decision is that since the positive NPV of $2,251,795.46 for CAM Y is gereater than the positive NPV of $1,930,110.40 for CAM X, Hunt Inc. will choose to invest in CAM Y.