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Lecture 11 Capital Budgeting II

FINC2011 Topic Eleven: Capital Budgeting - Fundamentals

Types of projects - Page 3

  • Types of Projects

    • Replacement projects for cost reduction.

    • Expansion projects.

    • New product or market development.

    • Mandatory projects (e.g., governmental safety-related).

    • Other types.

Use CF, not accounting income - Page 4

  • Use Cash Flows, Not Accounting Income

    • NPV relies on free cash flows, not accounting income.

    • Accounting income is influenced by arbitrary revenue and expense recognition.

    • NPV requires cash flow recognition at the time it occurs.

Relevant CF - Page 5

  • Relevant Cash Flows

    • Include only cash flows that occur if the project is accepted. If in part, we should include the part that occurs

      • aka incremental cash flows, the amount by which the firmā€™s earnings are expected to change as a result of the investment decision.

    • Use the stand-alone principle to analyze projects in isolation.

Also only include the cashflow if it assists the project even if the project is canceled.

  • Example: ABC Ltd.

    • New toy introduction with a feasibility study cost of $300,000.

    • Expected sales volume: 20,000 toys/year for 5 years.

    • Cost of producing is 17$ and revenue receive per unit is $30.

$300k expense for study is not included in the timeline because regardless of if the investment is forward or not, it is a sunk cost.

Sunk cost - Page 7

  • Sunk Costs

    • Sunk costs are incurred regardless of the investment decision.

    • Should not be included in incremental earnings analysis.

    • Examples:

      • fixed overhead expenses (static cost that remains for long period of time and do not change, e.g. rent)

      • past expenses

      • feasibility study costs (e.g. research).

  • Other Costs (Benefits) Example

    • Existing factory used for production.

    • Rental income lost due to factory use.

    • Sales promotion costs and cannibalization effects on existing products.

Opportunity cost - Page 9

  • Opportunity Cost

    • Opportunity costs represent the value of the best alternative use of resources.

    • Must be included as cash outflows in NPV calculations because it is consumed in undertaking the project.

    • Example: rental income from the factory is counted as opportunity cost.

Project externalities - Page 10

  • Project Externalities (Side Effects)

    • Side effects can be positive or negative cash flows related to other business aspects.

    • Cannibalization of existing product sales must be included in calculations.

      • Cannibalization is when sales of a new product displace sales of an existing product

Using everything - Page 11

  • Cash Flow Summary

    • Detailed cash flow calculations for the new toy project, including sales, costs, and EBITDA.

Opportunity cost: rent, existing sales

Project externality: existing sales

Normal cost: advertising

EBITDA can be used for analyzing performance of a company.

Depreciation - Page 13

  • Depreciation

    • Depreciation reduces taxable income but is not a cash flow.

    • Acts as a tax shield.

Depreciation can be calculated in several ways:

  • straight line depreciation (aka prime cost method): the assetā€™s cost to be divided equally over its life.

    initial cost should include a handling, shipping, installation fee.
  • depreciated at a pre-determined rate: the assetā€™s cost to be multiplied by the depreciation rate.

Note: the depreciation value remain the same at each intervals.

Salvage value and gain on sale - Page 14

  • Salvage Value and Gain on Sale

  • Once the project canceled or over, firms would want to sell the asset (the asset might be less than the useful life):

    • The value of asset sold at the end of its useful life is called salvage value, which generates cash flow in the last year.

    • It will also generate a gain on sale which is taxable.

      After-tax profit of selling depreciation asset should be $14k

    • If the loss from the gain on sale, youā€™ll received a tax refund (aka reduction on tax liability). In this example, it should equal to |-30k| * 30% = 9000$ if the salvage value is 100k

Using everything + depreciation + tax - Page 16

  • Final Cash Flow Summary

    • Comprehensive cash flow table including sales, costs, EBITDA, and tax payments.

Interest expense - Page 17

  • Interest Expense

    • Interest expense is typically excluded from capital budgeting decisions.

    • The rationale is that the project should be judged on its own, not on how it will be financed.

ā€”> donā€™t account for anything interest, finance, incremental outflow due to financing

Taxation - Page 18

  • Taxation

    • Taxation is a cash outflow and must be included in calculations.

    • After-tax cash flows should be discounted using an after-tax required rate of return.

Tax can influence project in 3 ways:

  1. corporate income tax affects after-tax income

  2. Depreciation ā€”> tax deduction = tax shield

  3. liquidation or salvage value ā€”> tax on gain or loss

NWC - Page 19

  • Net Working Capital (NWC)

    • NWC is the difference between current assets and current liabilities.

    Sales be recorded on the income statement when made, not when cash is received.

    Sales and COGS in financial statements are not cashflows:

    • Adjustments needed to recognize actual cash flows.

NWC is something you prepare for next year, build up inventory for future sale.

Change in NWC - Page 20

  • Change in Net Working Capital

    • Changes in NWC must be included in cash flow tables.

    • Cash flows related to NWC changes should be recognized. Donā€™t forget to include cash received when working capital is released at the end of the project

at 0, spent money to build inventory, form year 1, using the sales revenue for NWC

Change in NWC from year 1 to 4 here is 0, using NWC from forward year - NWC last year.

At year 5, we clear everything, thatā€™s why we have a positive $60k.

Non-constant NWC problem - Page 22

  • Complicated NWC Example

    • DEF Ltd. forecast with detailed calculations for NWC changes over three years.

NWC consideration - Page 24

  • NWC Considerations

    • Importance of recognizing changes in NWC for cash flow calculations.

      1. we are interested in changes in NWC only, this reflects modifications to take account of accounts payable.

      2. Increase in NWC means an increase in receivables relative to payables, decrease our CF.

      3. Assumes that working capital is recovered at the end of the project. In the final year, the CF of everything is equal to the ending balance of NWC.

Free cash flow - Page 25

  • Free Cash Flow (FCF) Formula

    • FCF calculation explained, including components and exclusions.

Using everything + change in NWC - Page 26

  • Full Cash Flow Table

    • Detailed cash flow table for the ABC Ltd. project.

To summaries, know how to divide cash flow into different sections:

  1. Operation cash flows

  2. Capital flows

  3. NWC

  4. Side effect

Proper CF to calculate for NPV - Page 27

  • Net Present Value (NPV) Calculation

    • NPV calculation for the project with a required rate of return of 10%.

Inflation consideration - Page 28

  • Inflation Considerations

    • Inflation impacts on future cash flows and project profitability, especially long-term project.

Projects with different lives

  • Projects with Different Lives

    • Challenges in comparing projects with different lifespans.

When there are projects with different lifespan, we canā€™t use NPV for direct comparison.

  • You can do this by assuming repeated investments over an identical period and then comparing the NPVs of their cost.

  • Alternatively, standardise the project to a 1-year period for comparision.

Equivalent annual annuity

  • Equivalent Annual Annuity (EAA) Approach

    • EAA formula and application to the printer example.

    • Calculating cost on annual basis

Page 32

  • Replacement Project Analysis

    • occurs when a firm decides whether to replace an existing asset with a new or better one.

    • Do not need to wait until a lifespan of an asset runs out.

V

Lecture 11 Capital Budgeting II

FINC2011 Topic Eleven: Capital Budgeting - Fundamentals

Types of projects - Page 3

  • Types of Projects

    • Replacement projects for cost reduction.

    • Expansion projects.

    • New product or market development.

    • Mandatory projects (e.g., governmental safety-related).

    • Other types.

Use CF, not accounting income - Page 4

  • Use Cash Flows, Not Accounting Income

    • NPV relies on free cash flows, not accounting income.

    • Accounting income is influenced by arbitrary revenue and expense recognition.

    • NPV requires cash flow recognition at the time it occurs.

Relevant CF - Page 5

  • Relevant Cash Flows

    • Include only cash flows that occur if the project is accepted. If in part, we should include the part that occurs

      • aka incremental cash flows, the amount by which the firmā€™s earnings are expected to change as a result of the investment decision.

    • Use the stand-alone principle to analyze projects in isolation.

Also only include the cashflow if it assists the project even if the project is canceled.

  • Example: ABC Ltd.

    • New toy introduction with a feasibility study cost of $300,000.

    • Expected sales volume: 20,000 toys/year for 5 years.

    • Cost of producing is 17$ and revenue receive per unit is $30.

$300k expense for study is not included in the timeline because regardless of if the investment is forward or not, it is a sunk cost.

Sunk cost - Page 7

  • Sunk Costs

    • Sunk costs are incurred regardless of the investment decision.

    • Should not be included in incremental earnings analysis.

    • Examples:

      • fixed overhead expenses (static cost that remains for long period of time and do not change, e.g. rent)

      • past expenses

      • feasibility study costs (e.g. research).

  • Other Costs (Benefits) Example

    • Existing factory used for production.

    • Rental income lost due to factory use.

    • Sales promotion costs and cannibalization effects on existing products.

Opportunity cost - Page 9

  • Opportunity Cost

    • Opportunity costs represent the value of the best alternative use of resources.

    • Must be included as cash outflows in NPV calculations because it is consumed in undertaking the project.

    • Example: rental income from the factory is counted as opportunity cost.

Project externalities - Page 10

  • Project Externalities (Side Effects)

    • Side effects can be positive or negative cash flows related to other business aspects.

    • Cannibalization of existing product sales must be included in calculations.

      • Cannibalization is when sales of a new product displace sales of an existing product

Using everything - Page 11

  • Cash Flow Summary

    • Detailed cash flow calculations for the new toy project, including sales, costs, and EBITDA.

Opportunity cost: rent, existing sales

Project externality: existing sales

Normal cost: advertising

EBITDA can be used for analyzing performance of a company.

Depreciation - Page 13

  • Depreciation

    • Depreciation reduces taxable income but is not a cash flow.

    • Acts as a tax shield.

Depreciation can be calculated in several ways:

  • straight line depreciation (aka prime cost method): the assetā€™s cost to be divided equally over its life.

    initial cost should include a handling, shipping, installation fee.
  • depreciated at a pre-determined rate: the assetā€™s cost to be multiplied by the depreciation rate.

Note: the depreciation value remain the same at each intervals.

Salvage value and gain on sale - Page 14

  • Salvage Value and Gain on Sale

  • Once the project canceled or over, firms would want to sell the asset (the asset might be less than the useful life):

    • The value of asset sold at the end of its useful life is called salvage value, which generates cash flow in the last year.

    • It will also generate a gain on sale which is taxable.

      After-tax profit of selling depreciation asset should be $14k

    • If the loss from the gain on sale, youā€™ll received a tax refund (aka reduction on tax liability). In this example, it should equal to |-30k| * 30% = 9000$ if the salvage value is 100k

Using everything + depreciation + tax - Page 16

  • Final Cash Flow Summary

    • Comprehensive cash flow table including sales, costs, EBITDA, and tax payments.

Interest expense - Page 17

  • Interest Expense

    • Interest expense is typically excluded from capital budgeting decisions.

    • The rationale is that the project should be judged on its own, not on how it will be financed.

ā€”> donā€™t account for anything interest, finance, incremental outflow due to financing

Taxation - Page 18

  • Taxation

    • Taxation is a cash outflow and must be included in calculations.

    • After-tax cash flows should be discounted using an after-tax required rate of return.

Tax can influence project in 3 ways:

  1. corporate income tax affects after-tax income

  2. Depreciation ā€”> tax deduction = tax shield

  3. liquidation or salvage value ā€”> tax on gain or loss

NWC - Page 19

  • Net Working Capital (NWC)

    • NWC is the difference between current assets and current liabilities.

    Sales be recorded on the income statement when made, not when cash is received.

    Sales and COGS in financial statements are not cashflows:

    • Adjustments needed to recognize actual cash flows.

NWC is something you prepare for next year, build up inventory for future sale.

Change in NWC - Page 20

  • Change in Net Working Capital

    • Changes in NWC must be included in cash flow tables.

    • Cash flows related to NWC changes should be recognized. Donā€™t forget to include cash received when working capital is released at the end of the project

at 0, spent money to build inventory, form year 1, using the sales revenue for NWC

Change in NWC from year 1 to 4 here is 0, using NWC from forward year - NWC last year.

At year 5, we clear everything, thatā€™s why we have a positive $60k.

Non-constant NWC problem - Page 22

  • Complicated NWC Example

    • DEF Ltd. forecast with detailed calculations for NWC changes over three years.

NWC consideration - Page 24

  • NWC Considerations

    • Importance of recognizing changes in NWC for cash flow calculations.

      1. we are interested in changes in NWC only, this reflects modifications to take account of accounts payable.

      2. Increase in NWC means an increase in receivables relative to payables, decrease our CF.

      3. Assumes that working capital is recovered at the end of the project. In the final year, the CF of everything is equal to the ending balance of NWC.

Free cash flow - Page 25

  • Free Cash Flow (FCF) Formula

    • FCF calculation explained, including components and exclusions.

Using everything + change in NWC - Page 26

  • Full Cash Flow Table

    • Detailed cash flow table for the ABC Ltd. project.

To summaries, know how to divide cash flow into different sections:

  1. Operation cash flows

  2. Capital flows

  3. NWC

  4. Side effect

Proper CF to calculate for NPV - Page 27

  • Net Present Value (NPV) Calculation

    • NPV calculation for the project with a required rate of return of 10%.

Inflation consideration - Page 28

  • Inflation Considerations

    • Inflation impacts on future cash flows and project profitability, especially long-term project.

Projects with different lives

  • Projects with Different Lives

    • Challenges in comparing projects with different lifespans.

When there are projects with different lifespan, we canā€™t use NPV for direct comparison.

  • You can do this by assuming repeated investments over an identical period and then comparing the NPVs of their cost.

  • Alternatively, standardise the project to a 1-year period for comparision.

Equivalent annual annuity

  • Equivalent Annual Annuity (EAA) Approach

    • EAA formula and application to the printer example.

    • Calculating cost on annual basis

Page 32

  • Replacement Project Analysis

    • occurs when a firm decides whether to replace an existing asset with a new or better one.

    • Do not need to wait until a lifespan of an asset runs out.

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