Corporate Finance Case Study

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14,4

Cash Flows in a Typical Project

Purchase Equipment (Capex)

Initial development cost

Increase in net working capital.

Incremental revenues

Incremental cost

Taxes

Changes in net working capital.

Terminal cash flows

Sales of equipment, net of taxes

Shut down cost

Decrease in net working capital.

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1

Initial

Investment

On going

Cash Flows

Terminal Cash Flows

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An Example

Please refer to the attached example!!!

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Initial Investment: Capex

New Investment in Fixed Assets attributed to the Project:

Capex and depreciation implications:

Capex: New fixed assets related to the project (i.e. building, equipment, vehicles, etc.)

The capex will impact the income statement due to the depreciation expenses attributed to the asset.

1. Methods of depreciation calculation: Straight-Line Depreciation.

Annual Depreciation Expense = Total value

Useful Life

CAPEX

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Forecasting Incremental Income

Revenue & Cost Assumptions:

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Forecasting Incremental Income

Pro Forma Statement:

Note: Depreciation calculation based on the straight method.

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Working Capital

Net Working Capital (NWK):

Any increases in net working capital represent an investment that reduces the cash available to the firm and so reduces free cash flow.

NWK = Current Assets – Current Liabilities = Cash + Inventory – Payables

At the end of the period, we are assuming the liquidation of the company, we will collect all the A/R, sell the remaining inventory and pay all our account payables.

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Terminal Cash Flow

Assuming a straight line depreciation method, the terminal value of the Capex would be:

In case the market value is lower than the book value, then we would have a loss.

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Incremental Free Cash Flow

Free cash flow:

The incremental effect of a project on a firm’s available cash.

Considering also the impact of the Capital Expenditures and Depreciation expenses.

The depreciation expense is not a cash outflow, therefore we adjust the incremental Income to reflect the fact that the depreciation expense by adding back the depreciation expense.

The incremental free cash flows would then be:

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Calculating the Net Present Value (NPV) of the Project

Discount Factor = FCFn___

(1+r)n

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Analyzing the Project

Sensitivity Analysis:

A capital budgeting tool that determines how the NPV varies as a single underlying assumption is changed.

In our example, what would happen if we assume the volumes of sales remain flat along the horizon period, assuming all the other variables remain unchanged:

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Sensitivity Analysis

If sales volumes remain flat, NPV would be negative, then the project should be rejected.

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Analyzing the Project

Scenario Analysis:

A capital budgeting tool that determines how the NPV varies as a number of the underlying assumptions are changed simultaneously.

DATA INPUT CHANGES

Investment increment: 50% to Building; 50% to Equipment.

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12

Scenario Analysis

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Scenario Analysis

Based on the Worst case scenario assumptions, the NPV of the project would be negative, then the project should be rejected.

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Year 12345

Deprec Exp Building 200,000 200,000 200,000 200,000 200,000

Deprec Exp Equip1,200,000 1,200,000 1,200,000 1,200,000 1,200,000

Deprec Exp Vehicles 750,000 750,000 750,000 750,000

Total Deprec Expense 2,150,000 2,150,000 2,150,000 2,150,000 1,400,000

InvestmentTotal

Useful Life

(Years)

Building 5,000,000 25

Equipment 12,000,000 10

Vehicles 3,000,000 4

Total Investment 20,000,000

Year 012345

Unitary Price 150150150150150

Sales (Units) 100,000 110,000 170,500 230,175 218,666

% of sales increase 10%55%35%-5%

Gross Revenue 15,000,000 16,500,000 25,575,000 34,526,250 32,799,938

Production cost per Unit30%45 45 45 45 45

Cost of Goods Sold 4,500,000 4,950,000 7,672,500 10,357,875 9,839,981

Admin Cost per Unit 15%22.522.522.522.522.5

Administration Cost 2,250,000 2,475,000 3,836,250 5,178,938 4,919,991

Revenue & Cost Assumptions

Year 12345

Gross Revenue 15,000,000 16,500,000 25,575,000 34,526,250 32,799,938

Cost of Good Sold (4,500,000) (4,950,000) (7,672,500) (10,357,875) (9,839,981)

Gross Income 10,500,000 11,550,000 17,902,500 24,168,375 22,959,956

Admin Cost (2,250,000) (2,475,000) (3,836,250) (5,178,938) (4,919,991)

Depreciation (2,150,000) (2,150,000) (2,150,000) (2,150,000) (1,400,000)

EBIT 6,100,000 6,925,000 11,916,250 16,839,438 16,639,966

Taxes (Income @ 40%)(2,440,000) (2,770,000) (4,766,500) (6,735,775) (6,655,986)

Net Income 3,660,000 4,155,000 7,149,750 10,103,663 9,983,979

Income Statement - Pro Forma

Year 12345

A/R as 30% of Revenues(4,500,000) (4,950,000) (7,672,500) (10,357,875) (9,839,981)

Inventory as 25% of COGS (1,125,000) (1,237,500) (1,918,125) (2,589,469) (2,459,995)

A/P as 15% of COGS 675,000 742,500 1,150,875 1,553,681 1,475,997

Working Capital (4,950,000) (5,445,000) (8,439,750) (11,393,663) (10,823,979)

Working Capital, variation (4,950,000) (495,000) (2,994,750) (2,953,913) 10,823,979

Working Capital

Year 12345

Deprec Exp Building 200,000 200,000 200,000 200,000 200,000

Deprec Exp Equip1,200,000 1,200,000 1,200,000 1,200,000 1,200,000

Deprec Exp Vehicles 750,000 750,000 750,000 750,000

Total Deprec Expense 2,150,000 2,150,000 2,150,000 2,150,000 1,400,000

Depreciation Expense - Straight Method

Accumm

Deprec

Book Value

Market

Value

Capital Gain

1,000,000 4,000,000 7,000,000 3,000,000

6,000,000 6,000,000 4,000,000 (2,000,000)

3,000,000 - - -

10,000,000 10,000,000 11,000,000 1,000,000

(400,000)

10,600,000 Net Salvage Value

Taxes @ 40%:

Year

0

12345

Net Income 3,660,000 4,155,000 7,149,750 10,103,663 9,983,979

Add Depreciation 2,150,000 2,150,000 2,150,000 2,150,000 1,400,000

Operating Cash Flow 5,810,000 6,305,000 9,299,750 12,253,663 11,383,979

Working Capital, variation (4,950,000) (495,000) (2,994,750) (2,953,913) 10,823,979

Investment(20,000,000) 10,600,000

Free Cash Flow (FCF)(20,000,000) 860,000 5,810,000 6,305,000 9,299,750 32,807,959

Discounted FCF (20,000,000) 716,667 4,034,722 3,648,727 4,484,833 13,184,783

Discount Factor 1.201.441.732.072.49

Discount rate 20%

Net Present Value (NPV)6,069,732

Incremental Free Cash Flows

Year 012345

Unitary Price 150150150150150

Sales (Units) 100,000 100,000 100,000 100,000 100,000

% of sales increase 0%0%0%0%

Gross Revenue 15,000,000 15,000,000 15,000,000 15,000,000 15,000,000

Production cost per Unit30%45 45 45 45 45

Cost of Goods Sold 4,500,000 4,500,000 4,500,000 4,500,000 4,500,000

Admin Cost per Unit 15%22.522.522.522.522.5

Administration Cost 2,250,000 2,250,000 2,250,000 2,250,000 2,250,000

Revenue & Cost Assumptions

Year 012345

Gross Revenue 15,000,000 15,000,000 15,000,000 15,000,000 15,000,000

Cost of Good Sold (4,500,000) (4,500,000) (4,500,000) (4,500,000) (4,500,000)

Gross Income 10,500,000 10,500,000 10,500,000 10,500,000 10,500,000

Admin Cost (2,250,000) (2,250,000) (2,250,000) (2,250,000) (2,250,000)

Depreciation (2,150,000) (2,150,000) (2,150,000) (2,150,000) (1,400,000)

EBIT 6,100,000 6,100,000 6,100,000 6,100,000 6,850,000

Taxes (Income @ 40%)(2,440,000) (2,440,000) (2,440,000) (2,440,000) (2,740,000)

Net Income 3,660,000 3,660,000 3,660,000 3,660,000 4,110,000

Year 012345

A/R 30%(4,500,000) (4,500,000) (4,500,000) (4,500,000) (4,500,000)

Inventory as % of COGS 25%(1,125,000) (1,125,000) (1,125,000) (1,125,000) (1,125,000)

A/P as % of COGS 15%675,000 675,000 675,000 675,000 675,000

Working Capital (4,950,000) (4,950,000) (4,950,000) (4,950,000) (4,950,000)

Working Capital, variation (4,950,000) - - - 4,950,000

Year 012345

Net Income 3,660,000 3,660,000 3,660,000 3,660,000 4,110,000

Add Depreciation 2,150,000 2,150,000 2,150,000 2,150,000 1,400,000

Operating Cash Flow 5,810,000 5,810,000 5,810,000 5,810,000 5,510,000

Working Capital, variation (4,950,000) - - - 4,950,000

Investment(20,000,000) 10,600,000

Free Cash Flow (FCF)(20,000,000) 860,000 5,810,000 5,810,000 5,810,000 21,060,000

Discounted FCF (20,000,000) 716,667 4,034,722 3,362,269 2,801,890 8,463,542

Discount Factor 1.201.441.732.072.49

Discount rate 20%

Net Present Value (NPV)(620,910)

Income Statement - Pro Forma

Working Capital

Incremental Free Cash Flows

Year 012345

Unitary Price 150150150150150

Sales (Units) 100,000 110,000 121,000 133,100 146,410

% of sales increase 10%10%10%10%

Gross Revenue 15,000,000 16,500,000 18,150,000 19,965,000 21,961,500

Production cost per Unit33%50 50 50 50 50

Cost of Goods Sold 4,950,000 5,445,000 5,989,500 6,588,450 7,247,295

Admin Cost per Unit 18%2727272727

Administration Cost 2,700,000 2,970,000 3,267,000 3,593,700 3,953,070

Revenue & Cost Assumptions

Discount rate increase by 2%

Annual growth in sales is only 10%

Initial Investment higher by SR 5,000,000

A/R & Inventory increased to35%

Production & Admin cost up by 3%

Worst case Scenario Assumptions

Accumm

Deprec

Book Value

Market

Value

Salvage

Value

1,500,000 6,000,000 7,000,000 1,000,000

7,250,000 7,250,000 4,000,000 (3,250,000)

3,000,000 - - -

11,750,000 13,250,000 11,000,000 (2,250,000)

(900,000)

11,900,000

Net Salvage Value

Year 012345

Deprec Exp Building 300,000 300,000 300,000 300,000 300,000

Deprec Exp Equip1,450,000 1,450,000 1,450,000 1,450,000 1,450,000

Deprec Exp Vehicles 750,000 750,000 750,000 750,000

Total Deprec Exp 2,500,000 2,500,000 2,500,000 2,500,000 1,750,000

Depreciation Expense - Straight Method

Year 012345

Gross Revenue 15,000,000 16,500,000 18,150,000 19,965,000 21,961,500

Cost of Good Sold (4,950,000) (5,445,000) (5,989,500) (6,588,450) (7,247,295)

Gross Income 10,050,000 11,055,000 12,160,500 13,376,550 14,714,205

Admin Cost (2,700,000) (2,970,000) (3,267,000) (3,593,700) (3,953,070)

Depreciation (2,500,000) (2,500,000) (2,500,000) (2,500,000) (1,750,000)

EBIT 4,850,000 5,585,000 6,393,500 7,282,850 9,011,135

Taxes (Income @ 40%)(1,940,000) (2,234,000) (2,557,400) (2,913,140) (3,604,454)

Net Income 2,910,000 3,351,000 3,836,100 4,369,710 5,406,681

Year 012345

A/R 35%(5,250,000) (5,775,000) (6,352,500) (6,987,750) (7,686,525)

Inventory as % of COGS 35%(1,732,500) (1,905,750) (2,096,325) (2,305,958) (2,536,553)

A/P as % of COGS 15%742,500 816,750 898,425 988,268 1,087,094

Working Capital (6,240,000) (6,864,000) (7,550,400) (8,305,440) (9,135,984)

Working Capital, variation (6,240,000) (624,000) (686,400) (755,040) 9,135,984

Year

0

12345

Net Income 2,910,000 3,351,000 3,836,100 4,369,710 5,406,681

Add Depreciation 2,500,000 2,500,000 2,500,000 2,500,000 1,750,000

Operating Cash Flow 5,410,000 5,851,000 6,336,100 6,869,710 7,156,681

Working Capital, variation (6,240,000) (624,000) (686,400) (755,040) 9,135,984

Investment(25,000,000) 11,900,000

Free Cash Flow (FCF)(25,000,000) (830,000) 5,227,000 5,649,700 6,114,670 28,192,665

Discounted FCF (25,000,000) (680,328) 3,511,825 3,111,329 2,760,156 10,431,265

Discount Factor 1.2 1.5 1.8 2.2 2.7

Discount rate 22%

Net Present Value (NPV)(5,865,753)

Incremental Free Cash Flows

Income Statement - Pro Forma

Working Capital