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Lecture Notes on Capital Investment Decisions
Lecture Notes on Capital Investment Decisions
Exam Preparation & Upcoming Schedule
Three lectures remaining (including today).
Final exam is approaching.
Aim to pass the primary exam to avoid additional exams during the winter holiday.
Online Quiz Details
Online quiz next week.
A whole week to complete the quiz.
Quiz duration: 60 minutes.
Covers topics 5, 6, 7, and 8.
Lecturer's Experience & Exam Difficulty
Initial quizzes often have good results.
Lecturers may increase the difficulty of subsequent quizzes and exams.
Rationale: To differentiate students and identify top performers.
No fixed quota for failing students; passing depends on meeting standards.
Concerns & Final Exam Format
Worry: Early quiz results may give a false sense of simplicity.
Online quizzes/exams might involve external help, which is not a concern.
Final exam: closed book.
Plain formula sheet will be provided.
Final exam design is complete.
Strategy: Mix of simple, medium, and complex questions.
Advice for Exam
If struggling with initial questions, remain calm and proceed to other questions.
Methods required for the exam have been covered in tutorials, quizzes, and exams.
Announcement
Announcement regarding the quiz to be made soon.
Quiz next week.
Capital Investment Decisions
Today's Topic: Capital Investment Decisions.
Last week: Methods for capital budgeting.
Methods Learned Last Week
NPV (Net Present Value)
IRR (Internal Rate of Return)
Payback Period
Index (considered similar to NPV)
Exam Implications
Different types of questions related to NPV, IRR, and payback in the final exam.
Theory questions on the differences between NPV and IRR.
Long calculation questions to determine NPV and IRR for decision-making.
Today's Focus: Cash Flow Estimation
Estimating cash flows from time zero to the project's end.
Cash flow types:
Initial cost/outlay (time zero)
Ongoing cash flows (during investment period)
Terminal cash flows (project completion)
Calculate NPV after carefully calculating all cash flows.
Cost of capital/discount rate given this week, calculation next week.
Project Types & Considerations
Project Types: Expansion and replacement.
Cash flow handling varies by project type.
Projects with unequal lives: special treatment needed.
Important Points Before Cash Flow Calculation
Focus on Cash Flows: Capital budgeting decisions must be based on cash flows.
Example: Selling coffee for 4 generates 4 in cash flows.
Example: Paying 5,000 in salaries is a cash outflow.
Accounting Numbers vs. Cash Flows: Information often comes from accounting numbers.
Accounting uses accrual basis (payables, receivables).
Depreciation is a key concern.
Depreciation Explained
Depreciation: Allocating the cost of a long-term asset over its useful life.
Cash outflow occurs at time zero (when asset is bought).
Accounting rules spread the cost over the asset's life.
Depreciation is a non-cash item.
Non-Cash Items: Generally excluded, but consider if they affect cash items.
Depreciation affects profit, which affects tax, which is a cash item.
Tax Implications
More depreciation leads to less profit, resulting in less tax paid.
After-Tax Cash Flows: Only consider after-tax cash flows.
Cash Flow Timeline
Project timeline (e.g., four years).
Three cash flow types:
Initial Outlay
Operating Cash Flow (OCF - net cash flows, inflows - outflows)
Terminal Cash Flow (end of project)
Initial Outlay Details
Equipment, land costs (lump sum).
Initial development costs (delivery, installation).
Ongoing Cash Flows Details
Incremental revenues minus incremental costs equals profit.
Pay taxes on profit to get operating cash flows.
Incremental Focus
Focus on incremental/differential cash flows.
Purpose: To earn additional revenue/profits or reduce costs.
Types of Projects:
Profit-seeking: additional cash inflow.
Cost-reducing: cash inflow from reduced costs.
Independent projects: incremental cash flows sufficient.
Mutually exclusive/replacement projects: more complex.
Terminal Value Details
Selling equipment at the end of the project.
Selling price might not equal book value (due to depreciation).
Book Value: Accounting value of the asset after depreciation.
Tax Implications for Selling Price
Selling price > book value: Capital gain, pay tax.
Selling price < book value: Recognize a loss, tax saving (cash inflow).
Working Capital
Add at the beginning, deduct at the end.
Example: Retail shop buying PC components for inventory (1,000,000).
Cash transforms to inventory, then back to cash when sold.
Time Value of Money
Even if cash returns, time value of money matters.
Saving 1,000,000 in the bank yields approx. 4% return (40,000).
Working capital included to calculate the time value of money.
Opportunity Costs
Example: Company A owns vacant land for 50 years.
Opportunity Cost: Potential revenue from selling or renting the land if not used for the project.
Include opportunity cost in the project cost.
Sunk Costs
Definition: Costs that cannot be recovered regardless of the project decision.
Example: Paying 50,000 for a feasibility study.
Do NOT include sunk costs in project cost calculation.
Cost should be taken into account, the decision to conduct the project creates consequences.
Working Capital (Revisited)
Cash transformed to inventory, receivables, payables.
Time value of money is the consideration.
Externalities/Cannibalization
Positive and negative externalities.
Negative Externalities
Example: Coca-Cola introducing a new flavor.
New flavor might attract customers from existing Coke products, reducing old product revenue.
Accounted for as a loss to existing product revenue.
Positive Externalities
Example: Apple introducing Apple Music.
Selling iPhones increases Apple Music subscriptions.
New product improves the sales of existing products.
Positive benefit to the existing product.
Financing Costs
Excluded from cash flow calculations.
Example: Borrowing 10,000,000 and paying interest.
Interest is not deducted from incremental revenue.
Financing costs are accounted for next wek during the discount rate.
After-Tax Cash Flows (Revisited)
Important to consider.
Allocated Costs
Overhead costs (e.g., electricity) are allocated to different projects.
Example: Building with divisions A, B, C, rent $1,200,000
Scenario 1: New division D in vacant space
Rent remains 1,200,000. Accounting might allocate 300,000 to each of the four divisions, A,B,C, and D.
Include to evaluate a project.
Focus only on whether a difference is created.
No increase in rent, don't allocate.
The 300,000 that will be assigned to Division D is a sunk cost.
Scenario 2: New division D increases rent to 1,400,000
Allocate the incremental cost of 200,000 to division D.
Project Types: Expansion vs. Replacement
Expansion
Deciding whether to do more of something.
Only one decision necessary.
Replacement
Deciding whether to replace an old machine with a new one.
Determine whether the the change could create a difference.
Calculate different numbers to determine, there's no initial conclusions.
Cash Flows: Initial, Terminal, Operating
Initial
Purchase of equipment.
Sale of old equipment (for replacement projects).
Initial development costs, working capital.
Ongoing
Incremental revenue minus incremental costs yields profit.
Pay taxes to determine Operating cash flow.
Key Income Statement
Operating Revenue
Incremental Operating costs (fixed & variable). Fees. Including overhead.
Depreciation (non-cash)
= EBT (Earnings Before Taxes)
Income Tax
=Net Income
Add back depreciation. Adding all the expense of the revenue and expense of each product.
=Operating Cash Flow
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