Two mutually exclusive projects have an initial cost of $60,000 each. Project A produces cash inflows of $30,000, $37,000, and $20,000 for Years 1 through 3, respectively. Project B produces cash inflow of $80,000 in Year 2 only. The required rate of return is 10 percent for Project A and 11 percent for Project B. Which project(s) should be accepted and why

Project A should be accepted because the NPV is higher. this means that project A is more profitable than project B

Explanation:

Net present value van be used to determine which project should be accepted.

Net present value is the present value of after tax cash flows from an investment less the amount invested.

NPV can be calculated using a financial calculator

For project A :

Cash flow in year 0 = $-60,000

Cash flow in year 1 = $30,000

Cash flow in year 2 = $37,000

Cash flow in year 3 = $20,000

I = 10%

NPV = $12,877.54

For project B :

Cash flow in year 0 = $-60,000

Cash flow in year 1 = $0

Cash flow in year 2 = $80,000

Cash flow in year 3 = $0

I = 11%

NPV = $4,929.79

Project A should be accepted because the NPV is higher. this means that project A is more profitable than project B

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute  

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20