V - Capital Budgeting Flashcards
What is Capital Budgeting? How is it used?
Managerial Accounting technique used to evaluate different investment options
Helps management make decisions
Uses both accounting and non-accounting information
Internal focus
GAAP is not mandatory
What values are used in Capital Budgeting?
Capital Budgeting ONLY uses Present Value tables.
Capital Budgeting NEVER uses Fair Value.
When is the Present Value of $1 table used?
For ONE payment- ONE time.
When is the Present Value of an Annuity Due used?
Multiple payments made over time- where the payments are made at the START of the period.
When is the Present Value of an Ordinary Annuity of $1 (PVOA) used?
Multiple payments over time- where payments are made at the END of the period.
Think A for Arrears.
What is the calculation for the Present Value of $1?
1 / (( 1+i )^n)
i : interest rate
n : number of periods
What is Net Present Value (NPV)?
A preferred method of evaluating profitability.
One of two methods that use the Time Value of Money
: PV of Future Cash Flows - Investment
How is NPV used to calculate future benefit?
NPV : PV Future Cash Flows - Investment
If NPV is Negative- Cost is greater than benefits (bad investment)
If NPV is Positive- Cost is less than benefit (good investment)
If NPV : 0- Cost : Benefit (Management is indifferent)
What is the rate of return on an investment called?
The Discount Rate.
What does the Discount Rate represent?
The rate of return on an investment used.
It represents the minimum rate of return required.
What are the strengths of the Net Present Value system?
Uses the Time Value of Money
Uses all cash flows- not just the cash flows to arrive at Payback
Takes risks into consideration
What are the weaknesses of the Net Present Value system?
Not as simple as the Accounting Rate of Return.
How do Salvage Value and Depreciation affect Net Present Value?
NPV includes Salvage Value because it is a future cash inflow.
NPV does NOT include depreciation because it is non-cash.
Exception - If a CPA Exam question says to include tax considerations- then you have to include depreciation because of income tax savings generated by depreciation.
If multiple potential rates of return are available- which is used to calculate Net Present Value?
The minimum rate of return is used.
What is the Internal Rate of Return (IRR)?
It calculates a project’s actual rate of return through the project’s expected cash flows.
IRR is the rate of return required for PV of future cash flows to EQUAL the investment.
Investment / After Tax Annual Cash Inflow : PV Factor
Which rate of return is used to re-invest cash flows for Internal Rate of Return?
Cash flows are re-invested at the rate of return earned by the original investment.
How does the rate used for Internal Rate of Return (IRR) compare to that used for Net Present Value (NPV)?
Rate of return for IRR is the rate earned by the investment.
Rate of return for NPV is the minimum rate.
What are the strengths and weaknesses of the Internal Rate of Return system?
Strengths: Uses Time Value of Money- Cash Flow emphasis
Weakness: Uneven cash flows lead to varied IRR
When is NPV on an Investment positive?
When the benefits are greater than the costs.
IRR is greater than the Discount Rate
When is NPV on an Investment Negative?
When Costs are greater than Benefits
IRR is less than the Discount Rate
When is NPV Zero?
When benefits equal the Costs
IRR : Discount Rate
What is the Payback Method? How is it calculated?
It measures an investment in terms of how long it takes to recoup the initial investment via Annual Cash Inflow
Investment / Annual Cash Inflow : Payback Method
Compare to a targeted timeframe; if payback is shorter than target- it’s a good investment. If payback is longer than target- it’s a bad investment.
What are the strengths of the Payback Method?
Takes risk into consideration
2 year payback is less risky than a 5 year payback
What are the weaknesses of the payback method?
Ignores the Time Value of Money
Exception: Discount payback method
Ignores cash flow after the initial investment is paid back
What is the Accounting Rate of Return?
An approximate rate of return on assets
ARR : Net Income / Average Investment
Compare to a targeted return rate; if ARR greater than target- good investment. If ARR less than target- bad investment.
What are the strengths of the Accounting Rate of Return (ARR)?
Simple to use
People understand easily
What are the weaknesses of the Accounting Rate of Return (ARR)?
Can be skewed based on Depreciation method that is used.
Ignores the Time Value of Money.
What is an Expected Return?
An approximate rate of return on assets.
The presence of risk for a portfolio of projects means:
More than one outcome is possible for any project
OR Some project will lose money.
More than one outcome is possible for any project
Risk means there is uncertainty about outcome
A graph of the relationship between financial risk and expected financial reward would show a curve that has…
Positive slope
To demonstrate Risk - Reward relationship
As the perceived risk of an undertaking increases, what would be the expected effect on (1) risk-free rate of return and (2) risk premium rate of return?
RF RoR - No change
Risk Premium - Increase
Capital budgeting is concerned with capital investments that have Short or Long term benefits?
Long Term
Which one of the following is a strength of the payback method of evaluating an investment project?
A. It considers cash flows for all years
B. It distinguishes the sources of cash inflows.
C. It considers the time value of money.
D. It is easy to compute and understand.
It is easy to compute and understand
Want Payback period to be less than Max payback period
A company invested in a new machine that will generate revenues of $35,000 annually for 7 yr, Annual operating expenses of $7,000, Depreciation expense (included in the operating expenses) is $4,000 per year, expected payback period is 5.2 years. What was paid for the machine?
166,400
The expected payback period is the length of time needed for net cash flows to recover the initial cash inv. The annual revenue is $35k and the annual cash exp are $3,000, which is the total operating expenses less the amount of depreciation expense included (since it is a non-cash expense). Therefore: $35,000 - $3,000 = $32,000 x 5.2 = $166,400
Which of the following approaches to capital project evaluation is concerned with relative economic ranking of projects? Net present value approach. Profitability index approach. Accounting rate of return approach. Internal rate of return approach.
Profitability Index Approach
Which one of the following is not a technique or approach for evaluating capital budgeting opportunities? Discounted payback period approach Payback period approach Profitability index approach Regression analysis approach
Regression analysis approach
Main difference between normal payback method and discounted payback?
Discounted payback uses the time value of money.
It discounts cash flows to PV amounts
Which of the following statements about discounted payback period method are correct?
I. It is useful in evaluating the liquidity of a project.
II. It measures total project profitability.
III. It results in a longer computed payback period than does the undiscounted payback period method.
I and III are correct
Statement II is not. The discounted payback period method does not measure the total project profitability, it measures only the period required to recover the initial investment. The total profitability or loss of the project is not assessed.
T/F?
Any project economically acceptable under the discounted payback period approach will be acceptable under the payback period approach.
True, the discounted method lowers the cash flows to PV amounts, so if that has an acceptable amount then a normal PBP will also be acceptable
Is salvage value used in payback period calculations?
NO!!! Only use initial investment amounts, along with cash flows
Which of the following is correct regarding the payback method as a capital budgeting technique?
1The payback method considers the time value of money.
2An advantage of the payback method is that it indicates if an investment will be profitable.
3The payback method provides the years needed to recoup the investment in a project.
4Payback is calculated by dividing the annual cash inflows by the net investment.
3 The payback method provides the years needed to recoup the investment in a project.
What PV chart do you use for PV cash flows in a Discounted payback period calculation?
Annuity or Single payment
Single payment, use this on each cash flow separately. You do not have equal payments, therefore not an annuity
Which of the following concerning the accounting rate of return to evaluating capital projects is/are correct?
I. It considers the entire life of a project.
II. It considers the time value of money.
III. It assumes that the incremental net income is the same each year.
I and III
2 is not correct
T Co. purchased equipment that would cost $100,000, with the expectation that $20,000 per year could be saved in after-tax cash costs if the equipment is acquired. The equipment’s useful life is 10 years, with no residual value, and it would be depreciated by the straight-line method. What is your ARR (%)?
10%
The ARR= (Change in) Annual accounting income/Initial Investment. For the facts given, the annual change in accounting income will be $20,000 - ($100,000/10 years) = $10,000. The accounting rate of return would be: $10,000/$100,000 = 10%.
P Co acquired a machine that would cost $66,000, has a life of 6 years, and an expected salvage value of $16,000. The company expects the machine to provide annual incremental income before taxes of $7,200. Phillips has a tax rate of 30%. If Phillips uses average values in its calculations, what is the ARR?
The (average) accounting rate of return is determined by dividing the average annual after-tax net income by the average cost of the investment. The after-tax income would be $7,200 x .70 = $5,040. The average cost of the investment would be beginning book value ($66,000) + ending book value of ($16,000), or $82,000/2 = $41,000. Therefore, the accounting rate of return is: $5,040/$41,000 = 12.29%.
Which one of the following methods of evaluating potential capital projects would take into account depreciation expense that was non-deductible for tax purposes?
ARR
The accounting rate of return measures the expected annual incremental accounting income from a project as a percent of the initial (or average) investment in the project. Since it uses accounting income, it takes into account depreciation expense in computing the annual incremental income.
Y Co. purchased a new machine that costs $450,000. It will generate net cash flow of $150,000 per year and net income of $100,000 per year for 5 yrs. Y’s desired rate of return is 6%. The PV factor for a five-year annuity of $1, discounted at 6%, is 4.212. The PV factor of $1, at compound interest of 6% due in five years, is 0.7473. What is the net present value?
The NPV is determined as the [present value of future cash inflows] less [present value of the current costs of the machine]. Net income is not relevant in computing the NPV. The cash inflow is $150,000 per year for 5 years. The PV of that is $150,000 x 4.212 (the PV of an annuity for 5yr) = $631,800. The PV of the cost of the new machine is $450,000. Thus, the NPV is $631,800 - $450,000 = $181,800.
Does NPV use regular annuities or an annuity due for calculations?
The present value of an ordinary annuity due is NOT used because the cash inflow payments will be received at the end of each year, not at the beginning of each year.
For NPV what chart amount do you multiply the cash inflows by?
Present value of an ordinary annuity
of $1
Project info: Expected sales $1,500 Cash operating expense 700 Depreciation 250 Tax rate 30% What is the after-tax cash inflow?
$635
The net cash inflow would be computed as: $1,500 - $700 = $800 x (1 - .30) = $800 x .70 = $560 + ($250 x .30) = $560 + $75 = $635. The ($250 x .30) is the tax savings from the deductibility of the depreciation for tax purposes.
A project’s NPV, ignoring income tax, is normally affected by the:
- Proceeds from the sale of the asset to be replaced.
- Carrying amount of the asset to be replaced by the project.
- Amount of annual depreciation on the asset to be replaced.
- Amount of annual depreciation on fixed assets used directly on the project.
Proceeds from the sale of the asset to be replaced.
The net present value approach is based on cash flows. Only the proceeds from sale of the asset to be replaced is a cash flow. The remaining alternatives are not cash flows, and do not cause cash flows to change when income tax effects are ignored. In the equipment replacement decision, the proceeds from the sale of the old asset (not its carrying value) increase the net present value of the replacement alternative.
Which of the following is an advantage of net present value modeling?
It is measured in time, not dollars.
It uses accrual basis, not cash basis accounting for a project.
It uses the accounting rate of return.
It accounts for compounding of returns.
It accounts for compounding of returns.
The NPV assesses projects by comparing the PV of the expected cash flows (revenues or savings) of the project with the initial cash investment in the project. The use of PV provides for the compounding of amounts over time.
S Co. yields annual net cash inflows of $420,000 for years 1 through 5, and net cash inflow of $100,000 in year 6. The project will require an initial investment of $1,800,000. S’s cost of capital is 10%. PV info:
Present value of $1 for 5 years at 10% is .62.
Present value of $1 for 6 years at 10% is .56.
Present value of an annuity of $1 for 5 years at 10% is 3.79.
What was S’s expected NPV?
($152,200)
[420k x 3.79] + ($100,000 x .56) = 1,647,800
1,647,800 - 1.8M = ($152,200)
The calculation of depreciation is used in the determination of the net present value of an investment for which of the following reasons?
- The decline in the value of the investment should be reflected in the determination of net present value.
- Adjusts the book value of the investment.
- Represents cash outflow that must be added back to net income.
- Increases cash flow by reducing income taxes.
Increases cash flow by reducing income taxes.
Since the amount of depreciation expense taken reduces taxes due, it reduces cash outflow by the amount of taxes saved. The present value of that saving enters into the determination of present values for net present value assessment purposes.
Net present value as used in investment decision-making is stated in terms of which of the following options?
1 Net income.
2 Earnings before interest, taxes, and depreciation.
3 Earnings before interest and taxes.
4 Cash flow.
Cash Flow
NPV as used in investment decision-making is stated in terms of cash flow; specifically, in terms of the present value of cash flow. If the net present value of cash flow is zero or positive, an investment project is economically feasible.
For salvage value in NPV calculations you use which table for PV?
Salvage value uses the discount factor for the present value of a single sum N years in the future. Amount is a lower than 1 decimal
Which of the following statements about investment decision models is true?
- The discounted payback rate takes into account cash flows for all periods.
- The payback rule ignores all cash flows after the end of the payback period.
- NPV says to accept investment opportunities when their rates of return exceed the company’s incremental borrowing rate.
- The IRR rule is to accept the investment if the opportunity cost of capital is greater than the internal rate of return.
The payback rule ignores all cash flows after the end of the payback period. The payback (period) rule or approach to assessing investments (e.g., capital projects) determines the number of years or other periods needed for future cash flows from an investment to recover the initial cost of the investment
T/F: NPV and IRR implicitly assume that all cash inflows are immediately reinvested to earn a return for the company
True, 1) The net present value method implicitly assumes that reinvestment of cash inflows earns the hurdle rate of return, the same rate used to discount future cash flows to get present value.
2) The internal rate of return method implicitly assumes that reinvestment of cash inflows earns a rate of return equal to the internal rate of return.
A client wants to know how many years it will take before the accumulated cash flows from an investment exceeds the initial investment, without taking the time value of money into account. Which of the financial models should be used?
Payback period
In evaluating the economic feasibility of a capital project, the discount rate (or hurdle rate of return) must be determined in advance when using the…
The net present value method of evaluating capital projects uses a discount rate (also called hurdle rate) to discount future cash flows (or savings) to their PV. Thus, the discount rate must be established in advance of using the method.
Which of the following rates is most commonly compared to the internal rate of return to evaluate whether to make an investment? Short-term rate on U.S. Treasury bonds. Prime rate of interest. Weighted-average cost of capital. Long-term rate on U.S. Treasury bonds.
Weighted-average cost of capital is the cost of financing with each source of capital weighted by the proportion of total capital provided by each source, with the resulting weighted cost summed to get the total weighted-average cost of capital. The weighted-average cost also is the minimum rate of return that a firm must earn on its investments
Which of the models equates the present value of a project’s expected cash inflows to the present value of the project’s expected costs?
IRR
equates the present value of a project’s expected cash inflows to the present value of the project’s expected costs
Neu Co. is considering the purchase of capital equipment that has a positive net present value based on Neu’s 12% hurdle rate.
The internal rate of return would be:
Less, equal, greater than 12?
Greater than 12%
Since the IRR determines the discount rate, which equates the PV of future cash inflows with the cost of the investment, if the project has a positive net present value, the discount rate (or internal rate of return) must be greater than the hurdle rate.
Does Acct Rate of Return and/or IRR uses depreciation expense?
Only Accounting Rate of Return does