A2CM-L12A — Investment Appraisal
Understanding how businesses evaluate long-term investment projects using quantitative and qualitative appraisal techniques.
Learning Objectives
By the end of this lesson students should be able to:
• understand investment appraisal
• calculate Payback Period
• calculate Accounting Rate of Return (ARR)
• calculate Net Present Value (NPV)
• explain discounting
• evaluate investment projects
• answer examination-style questions
Concept Framework
What is Investment Appraisal?
Investment appraisal is the process of evaluating long-term projects to determine whether they should be undertaken.
Businesses use investment appraisal to allocate resources efficiently and maximise shareholder wealth.
Why is Investment Appraisal Important?
Investment decisions often involve:
• large amounts of money
• long-term commitments
• significant risk
• strategic business objectives
Investment appraisal helps management make informed decisions.
CORE TERMINOLOGY
| Term | Meaning |
|---|---|
| Capital Expenditure | Spending on non-current assets |
| Investment Project | Long-term business investment |
| Cash Inflow | Money received |
| Cash Outflow | Money paid |
| Discounting | Adjusting future cash flows to present value |
| NPV | Net Present Value |
| ARR | Accounting Rate of Return |
PAYBACK PERIOD
Formula
Payback Period=Time Required To Recover Initial Investment\text{Payback Period}=\text{Time Required To Recover Initial Investment}
Example
Investment:
£100,000
Annual Cash Inflows:
£25,000
Payback Period:
£100,000 ÷ £25,000
= 4 yearsDecision Rule
Shorter Payback Period
=
More Attractive ProjectACCOUNTING RATE OF RETURN (ARR)
Formula
ARR=Average Annual ProfitInitial Investment×100ARR=\frac{\text{Average Annual Profit}}{\text{Initial Investment}}\times100
Example
Average Annual Profit:
£15,000
Initial Investment:
£100,000
ARR:
(£15,000 ÷ £100,000)
× 100
= 15%Decision Rule
Higher ARR
=
More Attractive ProjectNET PRESENT VALUE (NPV)
NPV Formula
NPV=Present Value of Cash Inflows−Initial InvestmentNPV=\text{Present Value of Cash Inflows}-\text{Initial Investment}
Why Discounting?
£1 today is worth more than £1 received in the future.
This is known as the Time Value of Money.Example
Present Value of Inflows:
£125,000
Initial Investment:
£100,000
NPV:
£125,000 − £100,000
= £25,000Decision Rule
Positive NPV
=
Accept Project
Negative NPV
=
Reject ProjectCOMPARISON OF METHODS
| Method | Strength |
|---|---|
| Payback | Simple and quick |
| ARR | Measures profitability |
| NPV | Considers time value of money |
| Method | Limitation |
|---|---|
| Payback | Ignores profit after payback |
| ARR | Uses accounting profit |
| NPV | More complex calculations |
Structured Practice
Example 1 — Payback Decision
Project A:
Payback = 3 yearsProject B:
Payback = 5 yearsPreferred:
Project A
📌 Additional structured questions are available in the 🎯 Question Papers + YouTube Explanation section.
Example 2 — ARR Decision
Project A:
ARR = 18%
Project B:
ARR = 12%
Preferred:
Project A
Example 3 — NPV Decision
Project A:
NPV = £30,000
Project B:
NPV = £12,000
Preferred:
Project A
ACADEMIC SUPPORT NOTE
📌 Investment Appraisal is one of the most important A2 Cost & Management Accounting topics.
Students should master:
✓ Payback Calculations
✓ ARR Calculations
✓ NPV Calculations
✓ Discounting Concepts
✓ Project Evaluation
✓ Examination Interpretation Questions
🎥 Full worked solutions are available in the YouTube Learning Library.
📩 Students may submit investment appraisal doubts through the Student Doubt Support facility.
Structured Practice
Level 1 — Concept Check
Define:
a) Investment Appraisal
b) Net Present Value
Level 2 — Application
Explain why businesses use investment appraisal before committing large sums of money.
Level 3 – Examination Style Question
A project requires an investment of £200,000.
Expected annual cash inflow:
£50,000
Calculate:
a) Payback Period
b) State whether this project would be attractive if management requires payback within 5 years.
(4 marks)
📌 Additional structured questions are available in the 🎯 Question Papers + YouTube Explanation section.
∗ Additional structured questions are available in the Question Papers and YouTube Explanation section. Students should practise regularly and review video explanations for procedural clarity.
Enrolled students may submit questions from recognised textbooks, past examination papers or other genuine academic material for expert clarification through the Student Doubt Support facility.
Proficiency Check
Learn → Practise → Analyse → Evaluate
1. Can you calculate Payback Period accurately?
2. Can you calculate ARR accurately?
3. Can you calculate NPV accurately?
4. Can you explain the time value of money?
5. Can you compare investment projects logically?
6. Can you recommend projects using appraisal results?
If unsure, revisit:
• Payback Method
• ARR Method
• NPV Method
• Discounting Concepts
• Worked Examples
Detailed Activity Solutions
Solution to Level 3 question
a)
Payback Period
£200,000 ÷ £50,000
= 4 years
b)
Decision:
Accept
Reason:
The payback period is less than the maximum acceptable period of 5 years.
HOW THIS TOPIC APPEARS IN THE EXAMINATION
Common examination tasks include:
✓ Payback Calculations
✓ ARR Calculations
✓ NPV Calculations
✓ Discounting Questions
✓ Investment Comparisons
✓ Project Recommendations
✓ Evaluation of Appraisal Methods
Self-Assessment Checklist
□ I understand investment appraisal
□ I can calculate Payback Period
□ I can calculate ARR
□ I can calculate NPV
□ I understand discounting
□ I can evaluate investment projects confidently
Continue Your Preparation
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PREMIUM RESOURCES
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GUESS PAPERS
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VIDEO ON DEMAND
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