Chapter 3: Capital Budgeting Flashcards
3 Financing Coverage
- Investment Decision
- Financing Decision
- Dividend Decision
May be defined as decision-making, firms evaluate purchased of major-fixed assets (building, machinery and equipment). To determine required return from a project.
Capital Budgeting
Significance of Capital Budgeting
- Long term effects
- Timing the availability of Capital assets
- Quality of capital assets
- Raising funds
- Ability to compete
Some Difficulties in Capital Budgeting
- Measurement problem
- Uncertainty
Project classifications
- Mandatory investment
- Replacement
- Expansion project
- Diversification project
- Research & Development projects
Capital budgeting evaluation techniques
- non-discounting methods
- Discounting method
Non-discounting methods
- Urgency
- Payback period
- Accountng rate of return
Discounting methods
- Net Present Value
- Profitability Index
- Internal Rate of return
It refer to the length of period required to recover the cost of investment
Payback period
Formula of Payback period
Intial cost of investment / Annual cash inflow
Find Payback Period
Given:
Year 0 = 5,000,000
Year 1 = 2,000,000
Year 2 = 2,500,000
Year 3 = 3,500,000
Year 4 = 2,000,000
Year 5 = 2,000,000
Year 1 = 2,000,000 = 1
Year 2 = 2,500,000 = 1
Year 3 = (5,0000,000 - 4,500,000) / 3,500,000 = 0.14
PP = 2.14 years
Find Payback Period
Given:
Intial Capital = 3,000,000
Year 1 = 1,200,000
Year 2 = 1,200,000
Year 3 = 1,200,000
Year 4 = 1,200,000
Year 5 = 1,200,000
Year 1 = 1,200,000 = 1
year 2 = 1,200,000 = 1
Year 3 = (3,000,000-2,400,000) / 1,200,000 = 0.5
PP =. 2.50 years
Find Payback Period
Given:
Intial Capital = 30,000,000
Year (1-5) = 5,000,000 per year
Year (6-10) = 6,000,000 per year
Year 1 - 5 = 25,000,000 (5M x 5 years) = 5
Year 6 = 5,000,000 / 6,000,000. = 0.83
PP = 5.83 years
Formula of Accounting rate of return (ARR)
Average income after tax / Initial cost of investment
Formula of Net Present Value
Present Value of Cash Inflows - Present Value of Cash outflow
Formula of Profitability Index
Present value of cash inflow (PVCI) / Initial cost of investment
Find Payback Period
Given:
Intial Capital = 800,000
Year 1 = 300,000
Year 2 = 350,000
Year 3 = 450,000
Year 4 = 500,000
Year 5 = 800,000
Year 1 = 300,000 = 1
Year 2 = 350,000 = 1
Year 3 = (800K- 300K - 350K) / 450,000 = 0.33
Answer = 2.33 years
Find Net Present Value
Given:
Intial Capital = 800,000
Year 1 = 300,000
Year 2 = 350,000
Year 3 = 450,000
Year 4 = 500,000
Year 5 = 800,000
Rate = 8%
Year 1 = 300,000 x 0.9259 = 277,770
Year 2 = 350,000 x 0.8573 = 300,055
Year 3= 450,000 x 0.7938 = 330, 210
Year 4 = 500,000 x 0.7350 = 367,500
Year 5 = 800,000 x 0.6806 = 544,480
(PVCI) 1,847,015 - (PVCO) 800,000
NPV = 1,047,015
Find Profitability Index
Given:
Intial Capital = 800,000
Year 1 = 300,000
Year 2 = 350,000
Year 3 = 450,000
Year 4 = 500,000
Year 5 = 800,000
Rate = 8%
PI= 1,847,015 / 800,000
= 2.31
Find Discounted Payback Period
Given:
Intial Capital = 800,000
Year 1 = 300,000
Year 2 = 350,000
Year 3 = 450,000
Year 4 = 500,000
Year 5 = 800,000
Rate = 8%
Notebook
2020
Gross Sales = 800,000
Less: CGS (30%) = ?
Gross Profit = ?
Less: Operating Expenses = 120,000
EBIT = ?
Less Interest Expense = 50,000
EBT = ?
Less: Tax (30%) = ?
Income after Tax = ?
2021
Gross Sales = 1,200,000
Less: CGS (30%) = ?
Gross Profit = ?
Less: Operating Expenses = 150,000
EBIT = ?
Less Interest Expense = 50,000
EBT = ?
Less: Tax (30%) = ?
Income after Tax = ?
2020
Gross Sales = 800,000
Less: CGS (30%) = ?
Gross Profit = ?
Less: Operating Expenses = 120,000
EBIT = ?
Less Interest Expense = 50,000
EBT = ?
Less: Tax (30%) = ?
Income after Tax = ?
2021
Gross Sales = 1,200,000
Less: CGS (30%) = ?
Gross Profit = ?
Less: Operating Expenses = 150,000
EBIT = ?
Less Interest Expense = 50,000
EBT = ?
Less: Tax (30%) = ?
Income after Tax = ?
Find Accounting Rate of Return
Initial Investment = 1,500,000
Income After Tax = 273,000 (Year 1)
448,000 (Year 2)
ARR = ((273,000 + 448,000) / 2) / 1,500,000
= 24.03%
Find Internal rate of Return
Given:
Intial Capital = 800,000
Year 1 = 300,000
Year 2 = 350,000
Year 3 = 450,000
Year 4 = 500,000
Year 5 = 800,000
Rate = 8%
No need to study since it will not come out on the exam
IRR = 42.23%
Find Internal rate of return
Given:
Intial Capital = (350,000)
Year 1 = 100,000
Year 2 = 200,000
Year 3 = 220,000
Year 4 = 80,000
Rate of Return = 18%
Found in notebook
Find NPV (use excel)
Given:
Intial Capital = (20,000,000)
Year 1 = 5,000,000
Year 2 = 8,000,000
Year 3 = 8,500,000
Year 4 = 7,000,000
Year 5 = 8,000,000
Year 6 = 6,000,000
Required rate of Return = 20%
Year 1 = 5,000,000 x 0.8333 = 4,166,500
Year 2 = 8,000,000 x 0.6944 = 5,555,200
Year 3 = 8,500,000 x 0.5787 = 4,918,950
Year 4 = 7,000,000 x 0.4823 = 3,376,100
Year 5 = 8,000,000 x 0.4019 = 3,215,200
Year 6 = 6,000,000 x 0.3349 = 2,009,400
(PVCI) 23,241,350 - (PVCO) (20,000,000)
NPV =
Find IRR (use excel)
Given:
Intial Capital = (20,000,000)
Year 1 = 5,000,000
Year 2 = 8,000,000
Year 3 = 8,500,000
Year 4 = 7,000,000
Year 5 = 8,000,000
Year 6 = 6,000,000
Required rate of Return = 20%
Found in Excel
Sunlight Company needs a machine for its manufacturing process. The Cost of the machine is 8.7 million with an expected useful life of 8 years. At the end of 8-year period, the machine would increse cash inflows by 3 million per year (per year 1- 8 years). Sunlight is interested to know the:
a. Payback period
Found in Test #2
Sunlight Company needs a machine for its manufacturing process. The Cost of the machine is 8.7 million with an expected useful life of 8 years. At the end of 8-year period, the machine would increse cash inflows by 3 million per year (per year 1- 8 years). Sunlight is interested to know the:
b. Net Present Value (16%)
Found in Test #2
NPV= 13,030,800 - 8,700,000 = 4,330,800
Sunlight Company needs a machine for its manufacturing process. The Cost of the machine is 8.7 million with an expected useful life of 8 years. At the end of 8-year period, the machine would increse cash inflows by 3 million per year (per year 1- 8 years). Sunlight is interested to know the:
c. Profitability Index
Found in Test #2
Sunlight Company needs a machine for its manufacturing process. The Cost of the machine is 8.7 million with an expected useful life of 8 years. At the end of 8-year period, the machine would increse cash inflows by 3 million per year (per year 1- 8 years). Sunlight is interested to know the:
d. Discounted payback period (16%)
Found in Test #2
Sunlight Company needs a machine for its manufacturing process. The Cost of the machine is 8.7 million with an expected useful life of 8 years. At the end of 8-year period, the machine would increse cash inflows by 3 million per year (per year 1- 8 years). Sunlight is interested to know the:
e. Internal rate of return (16%)
Found in Test #2
IRR= 30% + (31% - 30%) x [(₱74,105.26 - 0) / (₱74,105.26 - (₱138,387.94)) ]
= 30.34874%
Sunlight Company needs a machine for its manufacturing process. The Cost of the machine is 8.7 million with an expected useful life of 8 years. At the end of 8-year period, the machine would increse cash inflows by 3 million per year (per year 1- 8 years). Sunlight is interested to know the:
f. whether to accept or reject this investment. The minimum required rate of return of the company is 16% on all capital investments.
Accept
The following are the expected cash inflow of a project whose economic life is 5 years and initial investment is P800,000 and discount rate of 12 %
Year
0 = (800,000)
1 = 300,000
2 = 350,000
3 = 300,000
4 = 250,000
5 = 250,000
Find the:
a.) Payback period
Found in Test #2
The following are the expected cash inflow of a project whose economic life is 5 years and initial investment is P800,000 and discount rate of 12%
Year
0 = (800,000)
1 = 300,000
2 = 350,000
3 = 300,000
4 = 250,000
5 = 250,000
Find the:
b.) NPV (discount rate is 12%)
Found in Test #2
NPV= 1,061,155 - 800,000
= 261,155
The following are the expected cash inflow of a project whose economic life is 5 years and initial investment is P800,000 and discount rate of 12%
Year
0 = (800,000)
1 = 300,000
2 = 350,000
3 = 300,000
4 = 250,000
5 = 250,000
Find the:
c.) Profitability Index (discount rate is 12%)
PI= 1,061,155 / 800,000
=1.32
The following are the expected cash inflow of a project whose economic life is 5 years and initial investment is P800,000 and discount rate of 12%
Year
0 = (800,000)
1 = 300,000
2 = 350,000
3 = 300,000
4 = 250,000
5 = 250,000
Find the:
b.) IRR (discount rate is 12%)
Found in Test #2
The following are the expected cash inflow of a project whose economic life is 5 years and initial investment is P800,000 and discount rate of 12%
Year
0 = (800,000)
1 = 300,000
2 = 350,000
3 = 300,000
4 = 250,000
5 = 250,000
Find the:
e.) Will you recommend for the acceptance of the project?
Accept
For a project that has an initial investment of P8.7 million, your client has asked you to determine the accounting rate of return. The data are the following:
- Sales revenue: 30M (2022)
- Cost of Cost: 40%
- Interest Expense: 16% of the outstanding debt of P5,000,000
- Tax rate: 30%
- Operating expenses as 10M
- It was learned that the income after tax in the preceding year was 10% lower than this year, 2022
Found in Test #2
ABC is contemplating on venturing a new business with initial investment of P800 million pesos. The weighted average cost of capital (WACC) was determined at 15%. It has the following cash flows with zero salvage value at the end of the project:
Year 1 = P50M
Year 2 = P100M
Year 3 = P150M
Year 4-15 = P200M per year
Given the information, this client asked you to provide the following:
a.) Payback period of the project
Found in ME
PP= 5.5 years
ABC is contemplating on venturing a new business with initial investment of P800 million pesos. The weighted average cost of capital (WACC) was determined at 15%. It has the following cash flows with zero salvage value at the end of the project:
Year 1 = P50M
Year 2 = P100M
Year 3 = P150M
Year 4-15 = P200M per year
Given the information, this client asked you to provide the following:
b.) Net Present Value (WACC = 15%)
NPV= ₱130,549,058.77
ABC is contemplating on venturing a new business with initial investment of P800 million pesos. The weighted average cost of capital (WACC) was determined at 15%. It has the following cash flows with zero salvage value at the end of the project:
Year 1 = P50M
Year 2 = P100M
Year 3 = P150M
Year 4-15 = P200M per year
Given the information, this client asked you to provide the following:
c.) Discounted payback period
PP= 10.82 years
ABC is contemplating on venturing a new business with initial investment of P800 million pesos. The weighted average cost of capital (WACC) was determined at 15%. It has the following cash flows with zero salvage value at the end of the project:
Year 1 = P50M
Year 2 = P100M
Year 3 = P150M
Year 4-15 = P200M per year
Given the information, this client asked you to provide the following:
d.) Profitability Index
PI= 930,555,000 / 800,000,000
= 1.16
ABC is contemplating on venturing a new business with initial investment of P800 million pesos. The weighted average cost of capital (WACC) was determined at 15%. It has the following cash flows with zero salvage value at the end of the project:
Year 1 = P50M
Year 2 = P100M
Year 3 = P150M
Year 4-15 = P200M per year
Given the information, this client asked you to provide the following:
e.) Internal rate of return
=17% + (18% - 17%) x [(₱32,362,435.20 -0) / (₱32,362,435.20-(₱11,053,118.88))]
= 17.75%
Purchases of long-term operational asset.
Capital Investment
Once purchased, company is committed to these investments for an extended period of time.
Capital Investment
A decision to exchange current cash outflows for the expectation of receiving future cash inflows
Capital Investment Decisions
Understanding the time value of money concept will help you make a rational capital investment decision.
Capital Investment Decisions