Table of Contents
Introduction
Investment appraisal methods are crucial tools used by businesses to evaluate the viability and profitability of potential investment projects. Three commonly used methods in this process are the Payback Period, Average Rate of Return (ARR), and Net Present Value ( NPV)
Investment appraisal is a quantitative tool used by businesses to evaluate the financial viability and profitability of an investment project before committing resources to it. It involves analysing expected costs, revenues, cash flows, and risks over time to determine whether an investment will generate acceptable returns
Payback Period:
The payback period is the time it takes for an investment to generate enough cash flows to recover the initial cost of the investment. It’s a simple way to assess how quickly an investment can pay for itself.
Example:
Imagine you are running a small business and considering purchasing a new machine to increase production. The machine costs $1200. You expect it to generate a net cash flow of $400 per year.
So, the payback period is:
Payback Period = Initial Investment / Annual Net Cash Flow
Payback Period = $1,200 / $400
Payback Period = 3 years
So, the Payback Period for the new machine is 3 years. This means it will take 3 years for the investment to generate enough cash to cover its initial cost. After this period, the machine will start generating profit for your business.
| Do it yourself: Imagine you are running a small bakery and considering purchasing a new oven to increase your baking capacity. The oven costs $2,000. You expect it to generate a net cash flow of $500 per year. Calculate payback period |
Advantages of the Payback Period Method:
· Simplicity: The payback period method is easy to understand and calculate, making it accessible for businesses of all sizes.
· Quick assessment: It provides a fast way to evaluate how quickly an investment can recoup its initial cost, which is useful for assessing liquidity and short-term risk.
· Risk reduction: By focusing on shorter payback periods, businesses can minimize exposure to long-term uncertainties and risks.
Disadvantages of the Payback Period Method:
· Ignores time value of money: The method does not account for the time value of money, meaning it treats cash flows received in the future as having the same value as cash flows received today.
· No consideration of cash flows after payback: It ignores any benefits or cash inflows that occur after the payback period, potentially overlooking the full profitability of an investment.
· Lacks profitability measure: The payback period does not provide information on the overall profitability or return on investment, only on how quickly the initial investment can be recovered
Average Rate of Return (ARR)
Average rate of return (ARR) is quantitative investment appraisal method that measures the average annual profit generated by an investment as a percentage of the initial investment.
It helps businesses assess the profitability of a project by comparing expected returns with the amount invested.
Example:
Imagine you are considering investing in a new piece of equipment for your business. The equipment costs $10,000, and you expect it to generate an annual net cash flow of $3,000 for five years.
Steps to Calculate ARR
Step 1: Total net cash flow ( $ 3000 X 5 = $ 15,000)
Step 2: The forecast profit ( $ 15,000 minus $ 10, 000 = $ 5 000)
Step 3: The average annual profit ( $5000 /5 years= $ 1000)
Step 4: Hence the ARR =$ 1000/ $10,000 X 100 = 10 %
So, the Accounting rate of return (ARR) for the new equipment is 10%. This means that, on average, the investment is expected to generate a 10% return each year based on the initial cost of the equipment.
| Do it yourself: Maxell Engineering Company is planning to invest in new machinery worth $40,000. The expected annual net cash flow is $12,000 for the next five years. Calculate ARR for the proposed investment |
Advantages of the ARR Method:
· Simplicity: The ARR method is easy to understand and calculate, making it accessible for managers and decision-makers without a strong financial background.
· Focus on profitability: ARR focuses on accounting profits, providing a clear measure of the potential profitability of an investment relative to its cost.
· Comparative analysis: The ARR allows for easy comparison between different investment opportunities by expressing the return as a percentage, helping businesses choose the most profitable projects.
Disadvantages of the ARR Method:
· Ignores time value of money: The ARR method does not consider the time value of money, meaning it treats all future profits as equally valuable, regardless of when they are received.
· Relies on accounting profits: ARR is based on accounting profits rather than cash flows, which can be influenced by non-cash items like depreciation and may not accurately reflect the actual cash benefits of an investment.
· No consideration of project lifespan: The ARR method does not take into account the varying lifespans of different projects, potentially favoring investments with shorter durations over those with longer-term benefits.
Differences between the Payback period and ARR
| Payback period | ARR |
| 1. Focus: Measures the time required to recover the initial investment.· 2. Purpose: Assesses how quickly an investment can pay for itself, focusing on liquidity and risk.· 3. Calculation: Based on the time it takes for cumulative cash flows to equal the initial investment | 1. Focus: Measures the profitability of an investment.· 2. Purpose: Evaluate the return on investment in terms of average annual profit as a percentage of the initial cost.· 3. Calculation: Based on accounting profits, not cash flows, and expressed as a percentage |
Net Present Value (NPV)
Net Present Value (NPV) is an investment appraisal technique that calculates the difference between the present value of future cash inflows and the initial cost of an investment. It takes into account the time value of money and helps businesses determine whether a project is likely to create value and contribute to long-term profitability.
NPV = Present Value of Future Cash Inflows − Initial Investment
Example: Calculating NPV
Suppose a business is considering investing $10,000 in a new machine. The machine is expected to generate cash inflows of $4,000 per year for three years. The discount factors for Years 1, 2, and 3 are 0.91, 0.83, and 0.75, respectively.
Step 1: Calculate the present value of each cash inflow
The cash inflow for each year is multiplied by its corresponding discount factor.
- Year 1: $4,000 × 0.91 = $3,640
- Year 2: $4,000 × 0.83 = $3,320
- Year 3: $4,000 × 0.75 = $3,000
Step 2: Calculate the total present value of future cash inflows
Add the present values of all future cash inflows:
$3,640 + $3,320 + $3,000 = $9,960
Therefore, the total present value of future cash inflows is $9,960.
Step 3: Calculate the net present value (NPV)
Subtract the initial investment from the total present value of future cash inflows:
NPV = $9,960 − $10,000
NPV = −$40
Interpretation
The NPV is negative ($40). This means the project is expected to generate slightly less value than it costs. Therefore, the business would normally reject the investment.
Benefits of NPV
Considers the time value of money: NPV recognizes that money received in the future is worth less than money received today.
Measures actual value added: It estimates how much value an investment is expected to create for the business.
Considers all cash flows: NPV takes into account all expected cash inflows and outflows over the life of the project.
Limitations of NPV
Relies on Forecasts: The accuracy of NPV depends on the reliability of future cash flow estimates.
Complex to Calculate: NPV calculations require discount factors and can be more difficult to understand than simpler methods such as payback period.
Sensitive to the Discount Rate: A small change in the discount rate can significantly affect the NPV result and the investment decision.
NPV is one of the most widely used investment appraisal techniques because it considers both the timing and value of future cash flows. A project with a positive NPV is generally considered financially worthwhile, while a project with a negative NPV is usually rejected. Despite its limitations, NPV provides a more comprehensive evaluation of investment projects than many other appraisal methods.
Quick Recap
1. Investment appraisal is a quantitative technique used to evaluate whether an investment project is financially worthwhile before committing resources.
2. The three commonly used investment appraisal methods are Payback Period, Average Rate of Return (ARR), and Net Present Value (NPV).
3. The Payback Period measures the time required for an investment to recover its initial cost from net cash inflows.
Formula: Payback Period = Initial Investment ÷ Annual Net Cash Flow
4. The Payback Period is simple and useful for assessing liquidity and risk, but it ignores the time value of money and cash flows after the payback period.
5. The Average Rate of Return (ARR) measures the average annual profit as a percentage of the initial investment.
Formula: ARR (%) = (Average Annual Profit ÷ Initial Investment) × 100
6. ARR helps compare the profitability of different investment projects, but it ignores the time value of money and is based on accounting profit rather than cash flow.
7. The Payback Period focuses on how quickly an investment recovers its cost, whereas ARR focuses on the profitability of the investment.
8. Net Present Value (NPV) measures the difference between the present value of future cash inflows and the initial investment, taking into account the time value of money.
Formula: NPV = Present Value of Future Cash Inflows − Initial Investment
9. An investment is generally accepted if NPV is positive, rejected if NPV is negative, and indifferent if NPV equals zero.
10. Businesses should use more than one investment appraisal method because each provides different insights into an investment’s risk, profitability, and financial viability.
