Definition: A decision-making process used by businesses to evaluate the profitability and risk of an investment project.
Net Present Value (NPV)
Accounting Rate of Return (ARR)
Payback Period
Internal Rate of Return (IRR) (less common in Paper 3 but important to know)
Definition: The sum of all discounted cash flows from an investment, minus the initial investment cost.
Formula:
NPV=∑Net Cash Inflows(1+r)n−Initial InvestmentNPV = \sum \frac{Net \ Cash \ Inflows}{(1 + r)^n} - Initial \ InvestmentNPV=∑(1+r)nNet Cash Inflows−Initial Investment
where r
= discount rate, n
= time period.
The project is expected to generate more cash than it costs, suggesting it is a good investment.
The project is expected to generate less cash than it costs, suggesting it should not be pursued.
Definition: The time it takes for an investment to generate enough cash inflows to recover its initial cost.
Formula:
Payback Period=Initial InvestmentAnnual Cash InflowsPayback \ Period = \frac{Initial \ Investment}{Annual \ Cash \ Inflows}Payback Period=Annual Cash InflowsInitial Investment
Shorter payback periods are generally preferred because the investment is recovered faster, reducing risk.
Definition: The average annual profit from an investment as a percentage of the initial investment.
Formula:
ARR=Average Annual ProfitInitial Investment×100ARR = \frac{Average \ Annual \ Profit}{Initial \ Investment} \times 100ARR=Initial InvestmentAverage Annual Profit×100
The higher the ARR, the more attractive the investment is.
Must be compared to the cost of capital or required rate of return.
Considers time value of money.
Shows the absolute value of the project's profitability.
Directly correlates with the objective of maximizing shareholder wealth.
Relies on estimates of future cash flows and discount rate.
More complex to calculate compared to Payback or ARR.
May not be useful if the discount rate is hard to determine.
Simple and easy to calculate.
Useful for assessing liquidity risk.
Helps in comparing projects with short-term cash flows.
Ignores the time value of money.
Does not consider cash flows after payback.
Only focuses on recovery time, not profitability.
Simple to understand and calculate.
Focuses on profitability.
Allows easy comparison with other investments.
Ignores the time value of money.
Based on accounting profit rather than cash flow.
Can be misleading if profits are uneven over time.
Business expansion
New product development
Purchasing new machinery
Entering new markets
It is used to test the impact of changes in key assumptions like costs, revenues, and discount rates on the outcome of NPV and other methods.
Represents the cost of capital or required rate of return.
A higher discount rate reduces the NPV of future cash flows.
Definition: The discount rate at which the NPV of an investment is zero.
If IRR > Cost of Capital, the project is considered profitable.