5 Cash
Flows
projections
Quyen Nguyen, PhD - FBF - FTU 58
Initial outlay
Annual after-tax
operating cash
flows
Terminal year
after-tax non-
operating cash
flows
5 Cash Flows projections
Initial outlay
For a new investment:
Outlay = FCInv + NWCInv
Where:
FCInv : Investment in net fixed capital
NWCInv : Investment (variation) in net working capital
Quyen Nguyen, PhD - FBF - FTU 59
5 Cash Flows projections
Annual after-tax operating cash flows
CF = (S C - D)(1- T) + D NWCInv
Or
CF = (S C) (1- T) + T*D NWCInv
Where:
S : Sales
C : Cash operating expenses
D : Depreciation charge
T : Tax rate
Quyen Nguyen, PhD - FBF - FTU 60
5 Cash Flows projections
Terminal year after-tax non-operating cash flows
Quyen Nguyen, PhD - FBF - FTU 61
5 Cash Flows projections
§ Investment in fixed capital: 10,000
§ Straight line depreciation to zero over 5 years
§ Length: 5 years
§ Annual Sales: 10,000
§ Cash operating expenses: 4,000
§ NWCInv: 1,000 beginning at t = 0 to t = 5
§ Required rate of return: 10%
§ Tax rate: 33 1/3%
Quyen Nguyen, PhD - FBF - FTU 62
Example
Quyen Nguyen, PhD - FBF - FTU 63
Example
Quyen Nguyen, PhD - FBF - FTU 64
NPV Example
Quyen Nguyen, PhD - FBF - FTU 65
Example
You have to decide to invest or not for an expansion project. The project has an
expected 5 years life.
We assume that sales will be equal to $55, 000 each year, variabl e cash operating
expenses $18,000 ; and fixed operating expenses $24,000. Fixed operating expenses
contain depreciations.
We consider an investment outlay of $100,000 concerning fixed capital items that will
be depreciated straight -line to zero over five years.
We assume an ann ual investment in net working capital to t = 0 to t = 5 of $5,000.
The expected after-tax salvage value is equal to $ 6,000.
The tax rate is equal to 34%.
1°) Determine the cash flows.
2°) The expected rate of return is equal to 10% . What is the project NPV?
3°) The IRR is equal to 12.14%. Is it compatible with the decision given by the NPV?
Why?
Quyen Nguyen, PhD - FBF - FTU 66
Cash flows for a replacement
project
Quyen Nguyen, PhD - FBF - FTU 67
§ Incremental cash flows
the CF the company realizes with the investment compared to the CF the
company would realize without the investment.
The terminal year after-tax non operating cash flow:
Cash flows
for a
replacement
project
Quyen Nguyen, PhD - FBF - FTU 68
§ If the new equ ipment replaces the old equipment, an additional investment of
$80,000 in net working capital will be required.
§ Tax rate = 30%
§ Required rate of return: 8%

Preview text:

Initial outlay 5 – Cash Annual after-tax Flows operating cash projections flows Terminal year after-tax non- operating cash flows Quyen Nguyen, PhD - FBF - FTU 58 5 – Cash Flows projections • Initial outlay
For a new investment: Outlay = FCInv + NWCInv Where:
FCInv : Investment in net fixed capital
NWCInv : Investment (variation) in net working capital Quyen Nguyen, PhD - FBF - FTU 59 5 – Cash Flows projections
Annual after-tax operating cash flows
CF = (S – C - D)(1- T) + D – NWCInv Or
CF = (S – C) (1- T) + T*D – NWCInv Where: S : Sales C : Cash operating expenses D : Depreciation charge T : Tax rate Quyen Nguyen, PhD - FBF - FTU 60 5 – Cash Flows projections
Terminal year after-tax non-operating cash flows Quyen Nguyen, PhD - FBF - FTU 61 5 – Cash Flows projections
§ Investment in fixed capital: 10,000
§ Straight line depreciation to zero over 5 years § Length: 5 years § Annual Sales: 10,000
§ Cash operating expenses: 4,000
§ NWCInv: 1,000 beginning at t = 0 to t = 5
§ Required rate of return: 10% § Tax rate: 33 1/3% Quyen Nguyen, PhD - FBF - FTU 62 Example Quyen Nguyen, PhD - FBF - FTU 63 Example Quyen Nguyen, PhD - FBF - FTU 64 NPV Example Quyen Nguyen, PhD - FBF - FTU 65 Example
You have to decide to invest or not for an expansion project. The project has an expected 5 years life.
We assume that sales wil be equal to $55,000 each year, variable cash operating
expenses $18,000 ; and fixed operating expenses $24,000. Fixed operating expenses contain depreciations.
We consider an investment outlay of $100,000 concerning fixed capital items that wil
be depreciated straight-line to zero over five years.
We assume an annual investment in net working capital to t = 0 to t = 5 of $5,000.
The expected after-tax salvage value is equal to $6,000. The tax rate is equal to 34%.
1°) Determine the cash flows.
2°) The expected rate of return is equal to 10%. What is the project NPV?
3°) The IRR is equal to 12.14%. Is it compatible with the decision given by the NPV?
Why? Quyen Nguyen, PhD - FBF - FTU 66 Cash flows for a replacement project § Incremental cash flows
⇒ the CF the company realizes with the investment compared to the CF the
company would realize without the investment.
⇒ The terminal year after-tax non operating cash flow: Quyen Nguyen, PhD - FBF - FTU 67 Cash flows for a replacement project
§ If the new equipment replaces the old equipment, an additional investment of
$80,000 in net working capital wil be required. § Tax rate = 30% § Required rate of return: 8% Quyen Nguyen, PhD - FBF - FTU 68