Question

Using a 14% cost of capital, calculate the net present value for each of the independent projects shown in the following table, and indicate whether each is acceptable. Initial investment: Pr. A -20,000, Pr. B -600,000, Pr. C -150,000, Pr. D -760,000, Pr. E -100,000 Cash inflows: Project A Years 1-10 3,000 each yr. Project B 120,000, 145,000, 170,000, 190,000, 220,000, 240,000 Project C 18,000, 17,000 ,16,000 , 15,000, 14,000, 13,000, 12,000, 11,000, 10,000. Project D 185,000 years 1-8 Project E 0, 0, 0, 25,000, 36,000, 0, 60,000, 72,000, 84,000.

Answer 1

Answer:

For project A ,

NPV = $-4,351.65

The project A isn't acceptable because the NPV is negative

For project B ,

NPV = $67,678.24

The project is acceptable because the NPV is postive

For project C,

NPV = $-76,528.17

The project C isnt acceptable because the NPV is negative

For project D,

NPV = $98,189.82

Project D is acceptable because the NPV is postive.

For project E ,

NPV = $8,548.44

Project E is acceptable because the NPV is postive.

Explanation:

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

Net present value can be calculated using a financial calculator

For project A,

Cash flow in year 0 =  -20,000

Cash flow each year from year 1-10 = 3,000

I = 14%

NPV = $-4,351.65

The project A shouldn't be embarked on because the NPV is negative

For Project B,

Cash flow in year 0 = $ -600,000

Cash flow in year 1 = 120,000

Cash flow in year 2 = 145,000

Cash flow in year 3 = 170,000

Cash flow in year 4 = 190,000

Cash flow in year 5 =220,000

Cash flow in year 6= 240,000 

I = 14%

NPV = $67,678.24

The project should be embarked on because the NPV is postive.

For Pr. C ,

Cash flow in year 0 = -150,000, 

Cash flow in year 1 = 18,000

Cash flow in year 2 = 17,000

Cash flow in year 3 = 16,000

Cash flow in year 4 = 15,000

Cash flow in year 5 = 14,000,

Cash flow in year 6 = 13,000

Cash flow in year 7 = 12,000

Cash flow in year 8 = 11,000

Cash flow in year 9= 10,000

I = 14%

NPV = $-76,528.17

The project C shouldn't be embarked on because the NPV is negative

For Pr. D,

Cash flow in year 0 = -760,000

Cash flow each year from year 1 to 8 = 185,000 

I = 14%

NPV = $98,189.82

Project D should be embarked on because the NPV is postive.

For Pr. E,

Cash flow in year 0 = -100,000

Cash flow each year for year 1 to 3 = 0 cash flow in year 4 = 25,000

Cash flow in year 5 = 36,000

Cssh flpw in year 6 = 0

Cash flow in year 7 = 60,000

Cash flow in year 8 = 72,000

Cash flow in year 9 = 84,000.

I = 14%

NPV = $8,548.44

Project E is profitable and can be undertaken.

To find the NPV using a financial calacutor:

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

I hope my answer helps you