# Projects for AP Ltd by using Investment Appraisal Techniques

**Published:** **Last Edited:**

This essay has been submitted by a student. This is not an example of the work written by our professional essay writers.

Investment appraisal (or Capital budgeting ) is the planning process used to determine a firm's expenditures on assets whose cash flows are expected to extend beyond one year such as new machinery, equipments, etc. It is also the process of identifying, analyzing and selecting investment projects whose cash flows are expected to extend beyond one year such as research and development project.

2- Importance of Investment Appraisal:

Investment decisions are of vital importance to all companies. Getting these decisions right is crucial but, due to a complex and dynamic business environment, this remains a challenging management task. Effective appraisal methods are valuable tools in supporting investment decision-making. As organizations continue to seek a competitive edge, it is increasingly important that management accountants and strategic decision-makers have a sound knowledge of these tools.

Capital expense is a cash outlay for projects or investments that are expected to produce a cash inflow or benefits over a period of time usually exceeding one year. Examples of projects include investments in property, plant, and equipment, research and development projects, large advertising campaigns, or any other project that requires a capital expenditure and generates an expected cash flow. They are potentially large and irreversible outlays. Â As capital expenditures can be very large and have a significant impact on the financial performance of the firm, great importance is placed on project selection, which is so called capital budgeting. Potentially, there is a wide range of criteria for selecting projects and implementing them. Some shareholders may wish the firm to choose projects that will show immediate increase in cash inflows, and some may want to emphasis long-term growth with little importance on short term. It would be quite difficult to satisfy the differing interests of all the shareholders. Therefore, the ultimate goal is to maximize present value of the firm and it is the reason for firms always carries out discounted cash flow (DCF) and net present value (NPV) to convince investors.

Basically, the importance of capital budgeting are as follow:

Analyze the information

Avoid forecast error

Helps firm to plan its financing

Define the objectives

Present the results

## PAYBACK PERIOD:

Payback is the simplest method of looking at the one or more investment projects. The Payback Period method focuses on recovering the cost of investment. It represents the amount of time that it takes for a capital budgeting project to recover its initial cost.

In another definition it refers "the length of time required to recover the cost of an investment".

## 3.1- Calculation of Payback period:

## Year

## Project A

## Project B

Cash Flow £ (000)

Cumulative Cash Flow £ (000)

Cash Flow £ (000)

## 1

22

22

43

## 2

31

53

43

## 3

43

96

43

## 4

52

148

43

## 5

71

219

43

## Project A:

Initial Cost of Project = 125,000

Total Cash Flow Received after 3 years = 96,000

Required amount to equal the Cost in 4th year = 125,000-96,000= 29,000

29000/52000*12= 6.7 months

## Finally the payback period is about 3 years and 7 months.

## Project B:

Here its annuity situation so

Payback = Cost of Project/Annual cash flow

Payback= 125000/43000 = 2.9

Where .9*12= 10.8 months

## Finally the payback is about 2 years and 11 months

3.1.1 Recommendation:

AP Ltd imposes a 3 year maximum payback period so Project B should be accepted.

3.1.2 Criticism of Payback period:

Payback Period certainly has the virtue of being easy to compute and easily understandable but beside this it's very simplicity carries weaknesses with it. Following are the major problems associated with this model.

Payback Period ignores the benefits that occur after the Payback Period, and so that it does not measure the total income.

Payback Period ignores the time value of money

It over-emphasizes short run profitability.

## Net Present Value:

Net present value is one of the most important capital budgeting techniques. It is used extensively in different fields of capital budgeting. It is normally employed in order to measure the financial performance of projects that have been going on for a longer period of time.

In other words, Net Present Value (NVP) is a method of evaluating the profitability of an investment or project. The Net Present Value of an investment is the present discounted value of cash inflow minus the present discounted value of cash outflows.

The net present value points to the value addition, a particular business undertaking may be making to a company. Normally if the net present value is positive it is assumed that the project would increase the corporate value of the organization. In such cases the company undertakes the particular project.

When the net present value of a project is negative it is understood that the project is least likely to make any value addition to the firm's economic status. Under such circumstances the particular company does not approve the project.

The condition where the net present value of a project is neither negative nor positive is the diciest. It is for sure that the particular project would not add to the company's economic value. In these situations the companies use other techniques to determine the fate of the project.

## 4.1- Impact of Cost of Capital on NPV:

Cost of Capital has inverse relation with Net Present Value. Increase in Cost of Capital decreases the net present value while decreases in cost of capital increase the net present value.

## 4.2- Calculation of NPV:

## Year

## Project A

## Project B

NCF

£ (000)

PVIF @ 12%

Present

Value

£ (000)

NCF

£ (000)

## 1

22

0.893

19.646

43

## 2

31

0.797

24.707

43

## 3

43

0.712

30.616

43

## 4

52

0.636

33.072

43

## 5

71

0.567

40.257

43

## Total

148.298

## Less initial cost

125

## Net present value(NPV)

## 23.298

## Project A:

NPV @12% Cost of Capital= £ 23298

## Project B:

Considering the annuity factor we can calculate NPV for Project B by using following formula:

NPV @12% Cost of Capital = (3.605*43,000)-125,000

NPV @12% Cost of Capital = 155,015 -125,000

NPV @12% Cost of Capital = £ 30,015

4.2.1 Recommendation:

If the NPV of a prospective project is positive, it should be accepted.

If NPV is negative, the project should probably be rejected because cash flows will also be negative.

Project A and Project B both should be accepted as their NPV is positive.

## Internal Rate of Return

The Internal Rate of Return, or IRR for short, is a measure of your investment performance, and is expressed as percent return per year.Â It is essentially equal to the (annualized) interest rate a bank would have to pay you to duplicate the performance of your portfolio.

## 5.1- Calculation of IRR

## IRR of Project A:-

## Year

## Project A

NCF

£ (000)

PVIF @ 12%

Present

Value @ 12%

£ (000)

PVIF @ 16%

Present

Value @ 16%

£ (000)

PVIF @ 20%

## 1

22

0.893

19.646

0.862

18.964

0.833

## 2

31

0.797

24.707

0.743

23.033

0.694

## 3

43

0.712

30.616

0.641

27.563

0.579

## 4

52

0.636

33.072

0.552

28.704

0.482

## 5

71

0.567

40.257

0.476

33.796

0.402

## Total present value

148.298

132.060

## Less initial cost

125

125

## Net present value(NPV)

## 23.298

## 7.060

NPV @ 12% = £23298

NPV @ 16% = £7060

NPV @ 20% = - £6657

IRR = positive rate + {(positive NPV/positive NPV+ negative NPV) Ã- range of rates}

= 16% + {(7060/7060+6657) * (20 - 16)%}

= 16% + 2.056%

= 18.056%

## IRR of Project A is 18.056%

## Â

## IRR of Project B:-

## Â

## Year

## Project B

NCF

£ (000)

PVIF @ 12%

PVIF @ 20%

## 1

43

0.893

0.833

## 2

43

0.797

0.694

## 3

43

0.712

0.579

## 4

43

0.636

0.482

## 5

43

0.567

0.402

## Total

3.605

2.990

NPV of Project B @ 12% = (43000 * 3.605) -125000

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 155015 - 125000

## Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = £ 30015

NPV of Project B @ 20% = (43000 * 2.990) - 125000

Â Â Â Â Â Â Â = 128570 - 125000

## Â Â Â Â Â Â Â = £ 3570

NPV of project B @ 25% = (43000 * 2.690) - 125000

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 115670 - 125000

## Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = £ -9330

IRR = positive rate + {(positive NPV/positive NPV+ negative NPV) Ã- range of rates}

= 20% + {3570/3570+9330) * (25 - 20)%}

Â Â Â = 20% + 1.38%

Â Â = 21.38%

## IRR of Project B is 21.39%

5.2- Recommendation

If IRR is greater than Cost of Capital then project is acceptable.

If IRR is less than Cost of Capital then project is not acceptable.

## According to above criteria both project A and B should be accepted.

## Comparison for Effectiveness of NPV and IRR

Net present value is defined as the measure of the excess or shortfall of cash flows in present value terms once financing charges are met (Wikipedia 2007). This measure implies that all investment appraisal objectives should drive toward a positive net value or there should be a surplus between the values that the capital good will bring over its cost. Practically, it is a measure of what an investment can get you in the long run as opposed to the seemingly large short run cost. The NPV is a mathematical simply understood as the net cash flow at time t over the discount rate at the same time t minus the capital outlay at the beginning of investment time. As we can see, a higher discount rate will decrease the net present value of a capital good. That is why most capital investment appraisals are wary of higher interest rate which increases the discount rate of a good over time.

The internal rate of return is defined as the discount rate that makes the project have a zero net present value (Odellion Research 2006). This definition is equates the NPV to zero and deriving the discount rate. Although the NPV and the IRR are related, they are not equivalent concepts. The IRR's assumption of a zero NPV means that there is no need to evaluate the discount rate. Instead the IRR takes into account the time value of money over the lifetime of the project (Odellion Research 2006). Another objective of the equation is to measure the real world discount rate and compare it with the IRR solution to assess the investment decision.

These two main methods of capital budgeting are correlated with each other. However, they are read differently and are examined in various contexts. In the end the critical factor is valuing the decision of the shareholders while communicating what is the most effective capital good.