Corp Finance Flashcards
reading 35 and 36
As the director of capital budgeting for Denver Corporation, an analyst is evaluating two mutually exclusive projects with the following net cash flows:
Year Project X Project Z 0 -$100,000 -$100,000 1 $50,000 $10,000 2 $40,000 $30,000 3 $30,000 $40,000 4 $10,000 $60,000 If Denver's cost of capital is 15%, which project should be chosen?
A) Project X, since it has the higher IRR.
B) Project X, since it has the higher net present value (NPV).
C) Neither project.
C
NPV for Project X = -100,000 + 50,000 / (1.15)1 + 40,000 / (1.15)2 + 30,000 / (1.15)3 + 10,000 / (1.15)4
= -100,000 + 43,478 + 30,246 + 19,725 + 5,718 = -833
NPV for Project Z = -100,000 + 10,000 / (1.15)1 + 30,000 / (1.15)2 + 40,000 / (1.15)3 + 60,000 / (1.15)4
= -100,000 + 8,696 + 22,684 + 26,301 + 34,305 = -8,014
Reject both projects because neither has a positive NPV.
If a project has a negative cash flow during its life or at the end of its life, the project most likely has:
A) a negative internal rate of return.
B) multiple net present values.
C) more than one internal rate of return.
C
Projects with unconventional cash flows (where the sign of the cash flow changes from minus to plus to back to minus) will have multiple internal rates of return. However, one will still be able to calculate a single net present value for the cash flow pattern.
Which of the following types of capital budgeting projects are most likely to generate little to no revenue?
A) New product or market development.
B) Regulatory projects.
C) Replacement projects to maintain the business.
B
Mandatory regulatory or environmental projects may be required by a governmental agency or insurance company and typically involve safety-related or environmental concerns. The projects typically generate little to no revenue, but they accompany other new revenue producing projects and are accepted by the company in order to continue operating.
The greatest amount of detailed capital budgeting analysis is typically required when deciding whether to:
A) expand production capacity.
B) replace a functioning machine with a newer model to reduce costs.
C) introduce a new product or develop a new market.
C
Introducing a new product or entering a new market involves sales and expense projections that can be highly uncertain. Expanding capacity or replacing old machinery involves less uncertainty and analysis.
Lane Industries has a project with the following cash flows:
Year Cash Flow 0 −$200,000 1 60,000 2 80,000 3 70,000 4 60,000 5 50,000 The project's cost of capital is 12%. The discounted payback period is closest to:
A) 2.9 years.
B) 3.4 years.
C) 3.9 years.
C
The discounted payback period method discounts the estimated cash flows by the project’s cost of capital and then calculates the time needed to recover the investment.
Year CF Discounted CF Cumulative Discounted CF
0 −$200,000 −$200,000.00 −$200,000.00
1 60,000 53,571.43 −146,428.57
2 80,000 63,775.51 −82,653.06
3 70,000 49,824.62 −32,828.44
4 60,000 38,131.08 5,302.64
5 50,000 28,371.30 33,673.98
discounted payback period =number of years until the year before full recovery + uncovered cost at beginning of the year/discounted CF during the year
=3+32,828.44/38,131.08=3.86
Two projects being considered by a firm are mutually exclusive and have the following projected cash flows:
Year Project 1 Cash Flow Project 2 Cash Flow
0 −$4.0 ?
1 $3.0 $1.7
2 $5.0 $3.2
3 $2.0 $5.8
The crossover rate of the two projects’ NPV profiles is 9%. What is the initial cash flow for Project 2?
4.22
The crossover rate is the rate at which the NPV for two projects is the same. That is, it is the rate at which the two NPV profiles cross. At a discount rate of 9%, the NPV of Project 1 is: CF0 = -4; CF1 = 3; CF2 = 5; CF3 = 2; I = 9%; CPT → NPV = $4.51.
Now perform the same calculations except that we need to set the unknown CF0 = 0. The remaining entries are: CF1 = 1.7; CF2 = 3.2; CF3 = 5.8; I = 9%; CPT → NPV = $8.73.
Since by definition the crossover rate produces the same NPV for both projects, we know that both projects should have an NPV = $4.51. Since the NPV of Project 2 (with CF0 = 0) is $8.73, the unknown cash flow must be a large enough negative amount to reduce the NPV for Project 2 from $8.73 to $4.51. Thus the unknown initial cash flow for Project 2 is determined as $4.51 = $8.73 + CF0, or CF0 = −$4.22.
When using net present value (NPV) profiles:
A)
one should accept all independent projects with positive NPVs.
B)
the NPV profile’s intersection with the vertical y-axis identifies the project’s internal rate of return.
C)
one should accept all mutually exclusive projects with positive NPVs.
A
Where the NPV intersects the vertical y-axis you have the value of the cash inflows less the cash outflows, assuming an absence of money having a time value (i.e., the discount rate is zero). Where the NPV intersects the horizontal x-axis you have the project’s internal rate of return. At this cost of financing, the cash inflows and cash outflows offset each other. The NPV profile is a tool that graphically plots the project’s NPV as calculated using different discount rates. Assuming an appropriate discount rate, one should accept all projects with positive net present values, if the projects are independent. If projects are mutually exclusive select the one with the higher NPV at any given level of the cost of capital.
Where the NPV intersects the vertical y-axis you have ____
Where the NPV intersects the horizontal x-axis you have
- the value of the cash inflows less the cash outflows, assuming an absence of money having a time value (i.e., the discount rate is zero).
- the project’s internal rate of return.
Where the NPV intersects the ____ axis you have the value of the cash inflows less the cash outflows, assuming an absence of money having a time value (i.e., the discount rate is zero). Where the NPV intersects the ___axis you have the project’s internal rate of return.
- y (vertical)
- x (horizontal)
Which of the following statements regarding the net present value (NPV) and internal rate of return (IRR) is least accurate?
A)
For mutually exclusive projects, you must accept the project with the highest NPV regardless of the sign of the NPV calculation.
B)
For independent projects, the internal rate of return IRR and the NPV methods always yield the same accept/reject decisions.
C)
The NPV tells how much the value of the firm will increase if you accept the project.
A
(first time picked B. Only when cash flow pattern is unconventional, IRR and NPV might be different. Also, for mutually exclusive projects the IRR and NPV techniques can yield different accept/reject decisions.)
If the NPV for two mutually exclusive projects is negative, both should be rejected.
A single independent project with a negative net present value has an initial cost of $2.5 million and would generate cash inflows of $1 million in each of the next three years. The discount rate the company used when evaluating this project is closest to:
A) 9%.
B) 10%.
C) 8%.
Given that the NPV is negative, the discount rate used by the company evaluating the project must be greater than the IRR (the discount rate for which the NPV equals zero). On a financial calculator: CF0 = -2.5; CFj = 1; Nj = 3; CPT IRR = 9.7%. Since the discount rate used for this project is greater than 9.7%, it must be closer to 10% than to either of the other answer choices.
when IRR > required rate of return ____ the project
accept
when IRR < ______, reject the project
required rate of return
when (NPV)_____, accept the project
independent vs mutually exclusive
NPV > 0 and the project is independent
or when project has the bigger NPV (if mutually exclusive)
when NPV _____, reject the project
<0
Profitability index = ?
= PV of future cash flow / CF0
= 1 + NPV/CF0
when profitability index (PI) ____, accept the project
> 1
Which of the following steps is least likely to be an administrative step in the capital budgeting process?
A)
Forecasting cash flows and analyzing project profitability.
B)
Conducting a post-audit to identify errors in the forecasting process.
C)
Arranging financing for capital projects.
- what are the steps?
(note, the capitol budgeting process has 4 “admin” steps. they are called admin, not because they aren’t important)
- Idea generation
- Analyzing project proposals (based on expected future cashflow)
- Creating the firm-wide capital budget
- Monitoring decisions and conducting a post-audit
The effect of a company announcement that they have begun a project with a current cost of $10 million that will generate future cash flows with a present value of $20 million is most likely to:
A)
only affect value of the firm’s common shares if the project was unexpected.
B)
increase the value of the firm’s common shares by $20 million.
C)
increase value of the firm’s common shares by $10 million.
A
The NPV method is a measure of the expected change in company value from undertaking a project. A firm’s stock price may be affected to the extent that engaging in a project with that NPV was previously unanticipated by investors.
(and this is only in theory, as in reality stock price could increase more than CF - for example if public expect further expansion, or less than CF - for example if analyst expects a less increase than mgmt’s forecast)
Edelman Enginenering is considering including an overhead pulley system in this year’s capital budget. The cash outlay for the pully system is $22,430. The firm’s cost of capital is 14%. After-tax cash flows, including depreciation are $7,500 for each of the next 5 years.
Calculate the internal rate of return (IRR) and the net present value (NPV) for the project, and indicate the correct accept/reject decision.
NPV IRR Accept/Reject A) $3,318 20% Accept B) $15,070 14% Reject C) $15,070 14% Accept
A
Using the cash flow keys:
CF0 = -22,430; CFj = 7,500; Nj = 5; Calculate IRR = 20%
I/Y = 14%; Calculate NPV = 3,318
Because the NPV is positive, the firm should accept the project.
The underlying cause of ranking conflicts between the net present value (NPV) and internal rate of return (IRR) methods is the underlying assumption related to the:
A) cash flow timing.
B) reinvestment rate.
C) initial cost.
B
The IRR method assumes all future cash flows can be reinvested at the IRR. This may not be feasible because the IRR is not based on market rates. The NPV method uses the weighted average cost of capital (WACC) as the appropriate discount rate.
projects with ____ cash flow patterns can produce multiple IRRs or no IRR.
unconventional
For projects with conventional cash flow patterns, the NPV and IRR methods produce ____ accept/reject decision
the same
Which of the following statements about the discounted payback period is least accurate? The discounted payback:
A) method can give conflicting results with the NPV.
B) frequently ignores terminal values.
C) period is generally shorter than the regular payback.
C
The discounted payback period calculates the present value of the future cash flows. Because these present values will be less than the actual cash flows it will take a longer time period to recover the original investment amount.
- For A, NPV could conflict with IRR, but prob not pay back period
One of the basic principles of capital budgeting is that:
A)
opportunity costs should be excluded from the analysis of a project.
B)
decisions are based on cash flows, not accounting income.
C)
cash flows should be analyzed on a pre-tax basis.
- what are the other principles? and how many
B
five principles:
- Decisions are based on cash flows, not accounting income.
- Cash flows are based on opportunity costs.
- The timing of cash flows is important.
- Cash flows are analyzed on an after-tax basis.
- Financing costs are reflected in the project’s required rate of return.
Which of the following statements about NPV and IRR is least accurate?
A)
For mutually exclusive projects you should use the IRR to rank and select projects.
B)
The NPV method assumes that all cash flows are reinvested at the cost of capital.
C)
For independent projects if the IRR is > the cost of capital accept the project.
A
should use NPV
Which of the following statements about the internal rate of return (IRR) for a project with the following cash flow pattern is CORRECT?
Year 0: -$ 2,000
Year 1: $10,000
Year 2: -$ 10,000
A) It has a single IRR of approximately 38%.
B) No IRRs can be calculated.
C) It has two IRRs of approximately 38% and 260%.
(can’t rely solely on the calculator!!)
C
The number of IRRs equals the number of changes in the sign of the cash flow. In this case, from negative to positive and then back to negative. Although 38% seems appropriate, one should not automatically discount the value of 260%.
Check answers by calculation:
10,000 ÷ 1.38 - 10,000 ÷ 1.382 = 1995.38
And:
10,000 ÷ 3.6 - 10,000 ÷ 3.62 = 2006.17
Both discount rates give NPVs of approximately zero and thus, are IRRs.
Jack Smith, CFA, is analyzing independent investment projects X and Y. Smith has calculated the net present value (NPV) and internal rate of return (IRR) for each project:
Project X: NPV = $250; IRR = 15%
Project Y: NPV = $5,000; IRR = 8%
Smith should make which of the following recommendations concerning the two projects?
A) Accept both projects.
B) Accept Project Y only.
C) Accept Project X only.
A
The projects are independent, meaning that either one or both projects may be chosen. Both projects have positive NPVs, therefore both projects add to shareholder wealth and both projects should be accepted.
Which of the following statements about independent projects is least accurate?
A)
The net present value indicates how much the value of the firm will change if the project is accepted.
B)
The internal rate of return and net present value methods can yield different accept/reject decisions for independent projects.
C)
If the internal rate of return is less than the cost of capital, reject the project.
B
For independent projects the IRR and NPV give the same accept/reject decision.
For mutually exclusive projects the IRR and NPV techniques can yield different accept/reject decisions.
For ______ projects the IRR and NPV give the same accept/reject decision. For _____ projects the IRR and NPV techniques can yield different accept/reject decisions.
independent ; mutually exclusive
For independent projects the IRR and NPV give ____ accept/reject decision. For mutually exclusive projects the IRR and NPV techniques ______ accept/reject decisions.
the same; can yield different
What if independent projects have unconventional cash pattern (which could create zero or more than one IRR)? Would that conflict with NPV?
Since all independent projects can all be accepted if they add value, NPV and IRR conflict doesn’t arise. The company can accept all projects with positive NPV.
(还是不是很理解,但就记住吧)
In a net present value (NPV) profile, the internal rate of return is represented as the:
A) intersection of the NPV profile with the horizontal axis.
B) intersection of the NPV profile with the vertical axis.
C) point where two NPV profiles intersect.
A
B - that’s assuming no time value exist or no capitol cost
C - that’s crossover point where two projects have the same IRR
A firm is reviewing an investment opportunity that requires an initial cash outlay of $336,875 and promises to return the following irregular payments:
Year 1: $100,000 Year 2: $82,000 Year 3: $76,000 Year 4: $111,000 Year 5: $142,000
If the required rate of return for the firm is 8%, what is the net present value of the investment? (You’ll need to use your financial calculator.)
A) $86,133.
B) $99,860.
C) $64,582.
C
A company is considering the purchase of a copier that costs $5,000. Assume a cost of capital of 10 percent and the following cash flow schedule:
Year 1: $3,000
Year 2: $2,000
Year 3: $2,000
Determine the project’s NPV and IRR.
NPV IRR A) $243 20% B) $883 20% C) $883 15%
B
The effects that the acceptance of a project may have on other firm cash flows are best described as:
A) externalities.
B) opportunity costs.
C) pure plays.
A
Externalities refer to the effects that the acceptance of a project may have on other firm cash flows
give an example of externalities
Cannibalization is one example of an externality (a negative one where accepting this project will decrease CF of other projects)
good example: diet coke
A firm is evaluating two mutually exclusive projects of the same risk class, Project X and Project Y. Both have the same initial cash outlay and both have positive NPVs. Which of the following is a sufficient reason to choose Project X over Project Y?
A) Project Y has a lower internal rate of return than Project X.
B) Project X has both a shorter payback period and a shorter discounted payback period compared to Project Y.
C) Project Y has a lower profitability index than Project X.
C
The correct method of choosing between two mutually exclusive projects is to choose the one with the higher NPV. The profitability index is calculated as the present value of the future cash flows divided by the initial outlay for the project. Because both projects have the same initial cash outlay, the one with the higher profitability index has both higher present value of future cash flows and the higher NPV. Ranking projects on their payback periods or their internal rates of return can lead to incorrect ranking.
If the calculated net present value (NPV) is negative, which of the following must be CORRECT. The discount rate used is:
A) less than the internal rate of return (IRR).
B) greater than the internal rate of return (IRR).
C) equal to the internal rate of return (IRR).
B
When the NPV = 0, this means the discount rate used is equal to the IRR. If a discount rate is used that is higher than the IRR, the NPV will be negative. Conversely, if a discount rate is used that is lower than the IRR, the NPV will be positive.
Lincoln Coal is planning a new coal mine, which will cost $430,000 to build, with the expenditure occurring next year. The mine will bring cash inflows of $200,000 annually over the subsequent seven years. It will then cost $170,000 to close down the mine over the following year. Assume all cash flows occur at the end of the year. Alternatively, Lincoln Coal may choose to sell the site today. What minimum price should Lincoln set on the property, given a 16% required rate of return?
A) $376,872.
B) $325,859.
C) $280,913.
(be careful of timing, “not till end of the year” = CF0 = $0)
C
The key to this problem is identifying this as a NPV problem even though the first cash flow will not occur until the following year. Next, the year of each cash flow must be property identified; specifically: CF0 = $0; CF1 = -430,000; CF2-8 = +$200,000; CF9 = -$170,000. One simply has to discount all of the cash flows to today at a 16% rate. NPV = $280,913.
The NPV profile is a graphical representation of the change in net present value relative to a change in the:
A) discount rate.
B) prime rate.
C) internal rate of return.
A
The Chief Financial Officer of Large Closeouts Inc. (LCI) determines that the firm must engage in capital rationing for its capital budgeting projects. Which of the following describes the most likely reason for LCI to use capital rationing? LCI:
A) has a limited amount of funds to invest.
B) would like to arrange projects so that investing in a project today provides the option to accept or reject certain future projects.
C) must choose between projects that compete with one another.
A
Capital rationing exists when a company has a fixed (maximum) amount of funds to invest. If profitable project opportunities exceed the amount of funds available, the firm must ration, or prioritize its funds to achieve the maximum value for shareholders given its capital limitations.
B - project sequencing
C - mutually exclusive projects
_____ concerns the opportunities for future capital projects that may be created by undertaking a current project.
Project sequencing
Project sequencing is best described as:
A)
an investment in a project today that creates the opportunity to invest in other projects in the future.
B)
arranging projects in an order such that cash flows from the first project fund subsequent projects.
C)
prioritizing funds to achieve the maximum value for shareholders, given capital limitations.
A
Projects are often sequenced through time so that investing in a project today may create the opportunity to invest in other projects in the future.
!! Note that funding from the first project is not a requirement for project sequencing.
T or F?
funding from the first project is a requirement for project sequencing.
False
T or F?
project sequencing is arranging projects in an order such that cash flows from the first project fund subsequent projects.
False. CF from first project is not a requirement for project sequencing
The process of evaluating and selecting profitable long-term investments consistent with the firm’s goal of shareholder wealth maximization is known as:
A) monitoring.
B) financial restructuring.
C) capital budgeting.
C
In the process of capital budgeting, a manager is making decisions about a firm’s earning assets, which provide the basis for the firm’s profit and value. Capital budgeting refers to investments expected to produce benefits for a period of time greater than one year.
B - Financial restructuring is done as a result of bankruptcy
C - monitoring is a critical assessment aspect of capital budgeting (last step of admin steps).
A company is considering the purchase of a copier that costs $5,000. Assume a cost of capital of 10 percent and the following cash flow schedule:
Year 1: $3,000
Year 2: $2,000
Year 3: $2,000
Determine the project’s payback period and discounted payback period.
Payback Period Discounted Payback Period A) 2.0 years 1.6 years B) 2.0 years 2.4 years C) 2.4 years 1.6 years
B
Regarding the regular payback period, after 1 year, the amount to recover is $2,000 ($5,000 - $3,000). After the second year, the amount is fully recovered.
The discounted payback period is found by first calculating the present values of each future cash flow. These present values of future cash flows are then used to determine the payback time period.
3,000 / (1 + .10)1 = 2,727
2,000 / (1 + .10)2 = 1,653
2,000 / (1 + .10)3 = 1,503.
Then:
5,000 - (2,727 + 1,653) = 620
620 / 1,503 = .4.
So, 2 + 0.4 = 2.4.
Which of the following statements about the internal rate of return (IRR) and net present value (NPV) is least accurate?
A)
The IRR is the discount rate that equates the present value of the cash inflows with the present value of the outflows.
B)
For mutually exclusive projects, if the NPV rankings and the IRR rankings give conflicting signals, you should select the project with the higher IRR.
C)
The discount rate that causes the project’s NPV to be equal to zero is the project’s IRR.
B
The NPV method is always preferred over the IRR, because the NPV method assumes cash flows are reinvested at the cost of capital. Conversely, the IRR assumes cash flows can be reinvested at the IRR. The IRR is not an actual market rate.
Landen, Inc. uses several methods to evaluate capital projects. An appropriate decision rule for Landen would be to invest in a project if it has a positive:
A) profitability index (PI).
B) internal rate of return (IRR).
C) net present value (NPV).
C
The decision rules for net present value, profitability index, and internal rate of return are to invest in a project if
- NPV > 0,
- IRR > required rate of return, or
- PI > 1.
A company is considering two mutually exclusive investment projects. The firm’s cost of capital is 12%. Each project costs $7 million and the after-tax cash flows for each are as follows:
Project One Project Two
Year 1 $6.6 million $3.0 million
Year 2 $1.5 million $3.0 million
Year 3 $0.1 million $3.0 million
Indicate which project should be accepted and whether the IRR and NPV methods would lead to the same decision.
Project accepted? Same decision? A) Project One No B) Project Two Yes C) Project Two No
C
The NPVs for Project One and Project Two are $0.160 million and $0.206 million, respectively, thus, Project Two should be selected. The IRRs for Projects One and Project Two are 14.2% and 13.7%, respectively. NPV is considered a superior method for ranking mutually exclusive projects.
When a company is evaluating two mutually exclusive projects that are both profitable but have conflicting NPV and IRR project rankings, the company should:
A) accept the project with the higher internal rate of return.
B) use a third method of evaluation such as discounted payback period.
C) accept the project with the higher net present value.
C
An analyst has gathered the following data about a company with a 12% cost of capital:
Project P Project Q Cost $15,000 $25,000 Life 5 years 5 years Cash inflows $5,000/year $7,500/year
If the projects are independent, what should the company do?
A) Reject both Project P and Project Q.
B) Accept both Project P and Project Q.
C) Accept Project P and reject Project Q.
B
Project P: N = 5; PMT = 5,000; FV = 0; I/Y = 12; CPT → PV = 18,024; NPV for Project A = 18,024 − 15,000 = 3,024.
Project Q: N = 5; PMT = 7,500; FV = 0; I/Y = 12; CPT → PV = 27,036; NPV for Project B = 27,036 − 25,000 = 2,036.
For independent projects the NPV decision rule is to accept all projects with a positive NPV. Therefore, accept both projects
Financing costs for a capital project are:
A) subtracted from estimates of a project’s future cash flows.
B) subtracted from the net present value of a project.
C) captured in the project’s required rate of return.
C
one of the principles
Which of the following statements regarding the internal rate of return (IRR) is most accurate? The IRR:
A)
can lead to multiple IRR rates if the cash flows extend past the payback period.
B)
assumes that the reinvestment rate of the cash flows is the cost of capital.
C)
and the net present value (NPV) method lead to the same accept/reject decision for independent projects.
C
NPV and IRR lead to the same decision for independent projects, not necessarily for mutually exclusive projects.
B - IRR assumes that cash flows are reinvested at the IRR rate.
C - IRR does not ignore time value of money (the payback period does), and the investor may find multiple IRRs if there are sign changes after time zero (i.e., negative cash flows after time zero).
A company is considering a $10,000 project that will last 5 years.
Annual after tax cash flows are expected to be $3,000
Cost of capital = 9.7%
What is the project’s net present value (NPV)?
A) -$1,460.
B) +$1,460.
C) +$11,460.
Calculate the PV of the project cash flows
N = 5, PMT = -3,000, FV = 0, I/Y = 9.7, CPT → PV = 11,460
Calculate the project NPV by subtracting out the initial cash flow
NPV = $11,460 − $10,000 = $1,460
(or use the NPV function directly)
Polington Aircraft Co. just announced a sale of 30 aircraft to Cuba, a project with a net present value of $10 million. Investors did not anticipate the sale because government approval to sell to Cuba had never before been granted. The share price of Polington should:
A)
increase by the NPV × (1 - corporate tax rate) divided by the number of common shares outstanding.
B)
not necessarily change because new contract announcements are made all the time.
C)
increase by the project NPV divided by the number of common shares outstanding.
Explanation
C
Since the sale was not anticipated by the market, the share price should rise by the NPV of the project per common share.
A - NPV is already calculated using after-tax cash flows.
Garner Corporation is investing $30 million in new capital equipment. The present value of future after-tax cash flows generated by the equipment is estimated to be $50 million. Currently, Garner has a stock price of $28.00 per share with 8 million shares outstanding. Assuming that this project represents new information and is independent of other expectations about the company, what should the effect of the project be on the firm’s stock price?
A) The stock price will increase to $30.50.
B) The stock price will remain unchanged.
C) The stock price will increase to $34.25.
A
In theory, a positive NPV project should provide an increase in the value of a firm’s shares.
NPV of new capital equipment = $50 million - $30 million = $20 million
Value of company prior to equipment purchase = 8,000,000 × $28.00 = $224,000,000
Value of company after new equipment project = $224 million + $20 million = $244 million
Price per share after new equipment project = $244 million / 8 million = $30.50
Note that in reality, changes in stock prices result from changes in expectations more than changes in NPV.
The CFO of Axis Manufacturing is evaluating the introduction of a new product. The costs of a recently completed marketing study for the new product and the possible increase in the sales of a related product made by Axis are best described (respectively) as:
A) externality; cannibalization.
B) sunk cost; externality.
C) opportunity cost; externality.
B
Rosalie Woischke is an executive with ColaCo, a nationally known beverage company. Woischke is trying to determine the firm’s optimal capital budget. First, Woischke is analyzing projects Sparkle and Fizz. She has determined that both Sparkle and Fizz are profitable and is planning on having ColaCo accept both projects. Woischke is particularly excited about Sparkle because if Sparkle is profitable over the next year, ColaCo will have the opportunity to decide whether or not to invest in a third project, Bubble. Which of the following terms best describes the type of projects represented by Sparkle and Fizz as well as the opportunity to invest in Bubble?
Sparkle and Fizz Opportunity to invest in Bubble A) Independent projects Add-on project B) Independent projects Project sequencing C) Mutually exclusive projects Project sequencing
B
Independent projects are projects for which the cash flows are independent from one another and can be evaluated based on each project’s individual profitability. Since Woischke is accepting both projects, the projects must be independent. If the projects were mutually exclusive, only one of the two projects could be accepted. The opportunity to invest in Bubble is a result of project sequencing, which means that investing in a project today creates the opportunity to decide to invest in a related project in the future.
The Seattle Corporation has been presented with an investment opportunity which will yield cash flows of $30,000 per year in years 1 through 4, $35,000 per year in years 5 through 9, and $40,000 in year 10. This investment will cost the firm $150,000 today, and the firm’s cost of capital is 10%. The payback period for this investment is ?
4.86 years
150K-30K*4=30K ==> balance after 4 years
30/35=.86
4+.86=4.86 years
Tapley Acquisition, Inc., is considering the purchase of Tangent Company. The acquisition would require an initial investment of $190,000, but Tapley’s after-tax net cash flows would increase by $30,000 per year and remain at this new level forever. Assume a cost of capital of 15%. Should Tapley buy Tangent?
A) Yes, because the NPV = $10,000.
B) No, because k > IRR.
C) Yes, because the NPV = $30,000.
A
This is a perpetuity.
PV = PMT / I = 30,000 / 0.15 = 200,000
200,000 − 190,000 = 10,000
An analyst has gathered the following data about a company with a 12% cost of capital:
Project P Project Q Cost $15,000 $25,000 Life 5 years 5 years Cash inflows $5,000/year $7,500/year
If Projects P and Q are mutually exclusive, what should the company do?
A) Accept Project Q and reject Project P.
B) Reject both Project P and Project Q.
C) Accept Project P and reject Project Q.
C - can use the NPV calculation function for faster results
Project P:
N = 5; PMT = 5,000; FV = 0; I/Y = 12; CPT PV = 18,024
NPV for Project A = 18,024 − 15,000 = 3,024.
Project Q:
N = 5; PMT = 7,500; FV = 0; I/Y = 12; CPT PV = 27,036
NPV for Project B = 27,036 − 25,000 = 2,036.
For mutually exclusive projects, accept the project with the highest positive NPV. In this example the NPV for Project P (3,024) is higher than the NPV of Project Q (2,036). Therefore accept Project P.
Which of the following projects would most likely have multiple internal rates of return (IRRs)? The cost of capital for all projects is 10.0%.
Cash Flows South East West
CF0 -15,000 -12,000 -8,000
CF1 10,000 7,000 4,000
CF2 -1,000 2,000 0
CF3 15,000 2,000 6,000
A) Project South only.
B) Projects South and West.
C) Projects East and West.
A
The multiple IRR problem occurs if a project has an unconventional cash flow pattern, that is, the sign of the cash flows changes more than once (from negative to positive to negative, or vice-versa). Only Project South has this cash flow pattern. Neither the zero cash flow for Project West nor the likely negative net present value for Project East would result in multiple IRRs.
T or F?
The payback period provides a rough measure of a project’s liquidity and risk.
T
T or F?
The payback period is the number of years it takes to recover the original cost of the investment.
T
T or F?
The payback method considers all cash flows throughout the entire life of a project.
F
For a project with cash outflows during its life, the least preferred capital budgeting tool would be____
IRR
The IRR encounters difficulties when cash outflows occur throughout the life of the project. These projects may have multiple IRRs, or no IRR at all. Neither the NPV nor the PI suffer from these limitations.
Ashlyn Lutz makes the following statements to her supervisor, Paul Ulring, regarding the basic principles of capital budgeting:
Statement 1: The timing of expected cash flows is crucial for determining the profitability of a capital budgeting project.
Statement 2: Capital budgeting decisions should be based on the after-tax net income produced by the capital project.
Which of the following regarding Lutz’s statements is most accurate?
Statement 1 Statement 2 A) Correct Incorrect B) Correct Correct C) Incorrect Correct
A
Lutz’s first statement is correct. The timing of cash flows is important for making correct capital budgeting decisions. Capital budgeting decisions account for the time value of money. Lutz’s second statement is incorrect. Capital budgeting decisions should be based on incremental after-tax cash flows, not net (accounting) income.
Which of the following statements about NPV and IRR is NOT correct?
A)
The NPV will be positive if the IRR is less than the cost of capital.
B)
The IRR can be positive even if the NPV is negative.
C)
When the IRR is equal to the cost of capital, the NPV equals zero.
A
This statement should read, “The NPV will be positive if the IRR is greater than the cost of capital. The other statements are correct. The IRR can be positive (>0), but less than the cost of capital, thus resulting in a negative NPV. One definition of the IRR is the rate of return for which the NPV of a project is zero.
If two projects are mutually exclusive, a company:
A)
can accept either project, but not both projects.
B)
must accept both projects or reject both projects.
C)
can accept one of the projects, both projects, or neither project.
A
Mutually exclusive means that out of the set of possible projects, only one project can be selected. Given two mutually exclusive projects, the company can accept one of the projects or reject both projects, but cannot accept both projects.
Which of the following projects would have multiple internal rates of return (IRRs)? The cost of capital for all projects is 9.75%.
Cash Flows Blackjack Roulette Keno
T0 -10,000 -12,000 -8,000
T1 10,000 7,000 4,000
T2 15,000 2,000 0
T3 -10,000 2,000 6,000
A) Project Blackjack only.
B) Projects Roulette and Keno.
C) Projects Blackjack and Keno.
A
The multiple IRR problem occurs if a project has non-normal cash flows, that is, the sign of the net cash flows changes from negative to positive to negative, or vice versa. For the exam, a shortcut to look for is the project cash flows changing signs more than once. Only Project Blackjack has this cash flow pattern. The 0 net cash flow in T2 for Project Keno and likely negative net present value (NPV) for Project Roulette would not necessarily result in multiple IRRs.
Which of the following is the most appropriate decision rule for mutually exclusive projects?
A)
If the net present value method and the internal rate of return method give conflicting signals, select the project with the highest internal rate of return.
B)
Accept the project with the highest net present value, subject to the condition that its net present value is greater than zero.
C)
Accept both projects if their internal rates of return exceed the firm’s hurdle rate.
B
*has to be positive! (high NPV sometimes in questions just mean high absolute value..)
The project that maximizes the firm’s value is the one that has the highest positive NPV.
Mason Webb makes the following statements to his boss, Laine DeWalt about the principles of capital budgeting.
Statement 1: Opportunity costs are not true cash outflows and should not be considered in a capital budgeting analysis.
Statement 2: Cash flows should be analyzed on an after-tax basis.
Should DeWalt agree or disagree with Webb’s statements?
Statement 1 Statement 2 A) Agree Agree B) Disagree Disagree C) Disagree Agree
C
DeWalt should disagree with Webb’s first statement. Cash flows are based on opportunity costs. Any cash flows that the firm gives up because a project is undertaken should be charged to the project. DeWalt should agree with Webb’s second statement. The impact of taxes must be considered when analyzing capital budgeting projects.
The following data is regarding the Link Company:
A target debt/equity ratio of 0.5
Bonds are currently yielding 10%
Link is a constant growth firm that just paid a dividend of $3.00
Stock sells for $31.50 per share, and has a growth rate of 5%
Marginal tax rate is 40%
What is Link’s after-tax cost of capital?
A) 12.5%.
B) 10.5%.
C) 12.0%.
C
Use the revised form of the constant growth model to determine the cost of equity. Use algebra to determine the weights for the target capital structure realizing that debt is 50% of equity. Substitute 0.5E for D in the formula below.
ks = D1 ÷ P0 + growth = (3)(1.05) ÷ (31.50) + 0.05 = 0.15 or 15%
V = debt + equity = 0.5 + 1 = 1.5
WACC = (E ÷ V)(ks) + (D ÷ V)(kdebt)(1 − t)
WACC = (1 ÷ 1.5)(0.15) + (0.5 ÷ 1.5)(0.10)(1 − 0.4) = 0.1 + 0.02 = 0.12 or 12%
Ks = D? / P? +/- ____
ks = D1 ÷ P0 + growth
The following is a schedule of Tiger Company’s new debt and equity capital costs ($ millions):
Amount of New Debt After-tax Cost of Debt
< $30 3.5%
$30 - $60 4.0%
> $60 4.7%
Amount of New Equity Cost of Equity
$90 12.5%
The company has a target capital structure of 30% debt and 70% equity. Tiger needs to raise an additional $135.0 million of capital for a new project while maintaining its target capital structure. The company’s second debt break point and its marginal cost of capital (MCC) are closest to:
Debt Break Point #2 MCC A) $100 million 8.4% B) $200 million 8.4% C) $200 million 10.0%
C
Debt break point #2 = $60 million / 0.30 = $200 million.
$135 million × 30% = $40.5 million new debt
$135 million × 70% = $94.5 million new equity
MCC = 4.0%(0.30) + 12.5%(0.70) = 9.95%.
A _____ is calculated as the amount of capital where component cost changes / weight of component in the WACC
breakpoint
Simcox Financial is considering raising additional capital to finance a takeover of one of the firm’s major competitors. Reuben Mellum, an analyst with Simcox, has put together the following schedule of costs related to raising new capital:
Amount of New Debt (in millions)
After-tax Cost of Debt
$0 to $149 4.2%
$150 to $349 5.0%
Amount of New Equity (in millions)
Cost of Equity
$0 to $399 7.5%
$400 to $799 8.5%
Assuming that Simcox has a target debt to equity ratio of 65% equity and 35% debt, what are the marginal cost of capital schedule breakpoints for raising additional debt capital and equity capital, respectively?
Breakpoint for new debt capital Breakpoint for new equity capital
A) $428.6 million $615.4 million
B) $375.0 million $615.4 million
C) $428.6 million $533.3 million
A
The breakpoint for raising new debt capital occurs at ($150 / 0.35) = $428.6 million, and the breakpoint for raising new equity capital occurs at ($400 / 0.65) = $615.4 million.
A breaking point is calculated as the amount of capital where component cost changes / _____
weight of component in the WACC
(for example, d=40%, e=60%, if changing point for debt is $10M, breaking point = $10M/40%
The following information applies to World Turn Company:
10% rate of interest on newly issued bonds.
7% growth rate in earnings and dividends.
The last dividend paid was $0.93.
Shares sell for $16.
Stock’s beta is 1.5.
Market risk premium is 6%.
Risk-free rate of interest is 5%.
The firm is in a 40% marginal tax bracket.
If the appropriate risk premium relative to the bond yield is 4%, World Turn’s equity cost of capital using the dividend discount model is closest to:
A) 12.8%.
B) 13.2%.
C) 14.0%.
B
($.93*1.07)/16 + 7% = 13.2%
Which of the following statements is least accurate regarding the marginal cost of capital’s role in determining the net present value (NPV) of a project?
A)
The NPVs of potential projects of above-average risk should be calculated using the marginal cost of capital for the firm.
B)
When using a firm’s marginal cost of capital to evaluate a specific project, there is an implicit assumption that the capital structure of the firm will remain at the target capital structure over the life of the project.
C)
Projects for which the present value of the after-tax cash inflows is greater than the present value of the after-tax cash outflows should be undertaken by the firm.
A
The WACC is the appropriate discount rate for projects that have approximately the same level of risk as the firm’s existing projects. This is because the component costs of capital used to calculate the firm’s WACC are based on the existing level of firm risk.
To evaluate a project with above (the firm’s) average risk, a discount rate greater than the firm’s existing WACC should be used. Projects with below-average risk should be evaluated using a discount rate less than the firm’s WACC.
B - An additional issue to consider when using a firm’s WACC (marginal cost of capital) to evaluate a specific project is that there is an implicit assumption that the capital structure of the firm will remain at the target capital structure over the life of the project. These complexities aside, we can still conclude that the NPVs of potential projects of firm-average risk should be calculated using the marginal cost of capital for the firm.
C - Projects for which the present value of the after-tax cash inflows is greater than the present value of the after-tax cash outflows should be undertaken by the firm.
Hans Klein, CFA, is responsible for capital projects at Vertex Corporation. Klein and his assistant, Karl Schwartz, were discussing various issues about capital budgeting and Schwartz made a comment that Klein believed to be incorrect. Which of the following is most likely the incorrect statement made by Schwartz?
A)
“The weighted average cost of capital (WACC) should be based on market values for the firm’s outstanding securities.”
B)
“It is not always appropriate to use the firm’s marginal cost of capital when determining the net present value of a capital project.”
C)
“Net present value (NPV) and internal rate of return (IRR) result in the same rankings of potential capital projects.”
C
It is possible that the NPV and IRR methods will give different rankings. This often occurs when there is a significant difference in the timing of the cash flows between two projects.
B - A firm’s marginal cost of capital, or WACC, is only appropriate for computing a project’s NPV if the project has the same risk as the firm.
WACC should be calculated based on a firm’s ____capital structure weights.
If information is not available, an analyst can use the firm’s _____, based on _____ values, or the ____ as estimates of the target capital structure.
target;
current capital structure;
market;
average capital structure in the firm’s industry
Levenworth Industries has the following capital structure on December 31, 2006:
Book Value Market Value Debt outstanding $8 million $10.5 million Preferred stock outstanding $2 million $1.5 million Common stock outstanding $10 million $13.7 million Total capital $20 million $25.7 million
What is the firm’s target debt and preferred stock portion of the capital structure based on existing capital structure?
Debt Preferred Stock A) 0.41 0.06 B) 0.40 0.10 C) 0.41 0.10
A !!BV should not be used
The weights in the calculation of WACC should be based on the firm’s target capital structure, that is, the proportions (based on market values) of debt, preferred stock, and equity that the firm expects to achieve over time. Book values should not be used.
As such, the weight of debt is 41% ($10.5 ÷ $25.7), the weight of preferred stock is 6% ($1.5 ÷ $25.7) and the weight of common stock is 53% ($13.7 ÷ $25.7).
Which of the following statements is most accurate regarding a firm’s cost of preferred shares? A firm’s cost of preferred stock is:
A) approximately equal to the market price of the firm’s debt as a percentage of the market price of its common shares.
B)
the market price of the preferred shares as a percentage of its issuance price.
C)
the dividend yield on the firm’s newly-issued preferred stock.
C
The newly-issued preferred shares of most companies generally sell at par. As such, the dividend yield on a firm’s newly-issued preferred shares is the market’s required rate of return. The yield on a BBB corporate bond reflects a pre-tax cost of debt. Both remaining choices make no sense.
k ps = ?
Preferred stock annual dividend / market price of preferred stock
When calculating NPV for projects, there are two methods to incorporate flotation costs:
- The first method, commonly used in textbooks, is?
- The second, is?
Which one is more accurate?
Method 1 generally calculates _____ (higher/lower) NPV than Method 2 when project time is shorter
- incorporate flotation costs directly into the cost of equity
use (1-flotation cost rate) * market price instead of just market price - to subtract the dollar value of the flotation costs from the project NPV.
- 2nd one is more accurate
- Higher (overstate NPV)
Meredith Suresh, an analyst with Torch Electric, is evaluating two capital projects. Project 1 has an initial cost of $200,000 and is expected to produce cash flows of $55,000 per year for the next eight years. Project 2 has an initial cost of $100,000 and is expected to produce cash flows of $40,000 per year for the next four years. Both projects should be financed at Torch’s weighted average cost of capital. Torch’s current stock price is $40 per share, and next year’s expected dividend is $1.80. The firm’s growth rate is 5%, the current tax rate is 30%, and the pre-tax cost of debt is 8%. Torch has a target capital structure of 50% equity and 50% debt. If Torch takes on either project, it will need to be financed with externally generated equity which has flotation costs of 4%.
If Suresh uses the cost of equity adjustment approach to account for flotation costs rather than the correct cash flow adjustment approach, will the NPV for each project be overstated or understated?
Project 1 NPV Project 2 NPV A) Understated Overstated B) Understated Understated C) Overstated Overstated
C
Correct method of accounting for flotation costs:
After-tax cost of debt = 8.0% (1-0.30) = 5.60%
Cost of equity = ($1.80 / $40.00) + 0.05 = 0.045 + 0.05 = 9.50%
WACC = 0.50(5.60%) + 0.50(9.50%) = 7.55%
Flotation costs Project 1 = $200,000 × 0.5 × 0.04 = $4,000
Flotation costs Project 2 = $100,000 × 0.5 × 0.04 = $2,000
- NPV Project 1 = -$200,000 - $4,000 + (N = 8, I = 7.55%, PMT = $55,000, FV = 0 →CPT PV = $321,535) = $117,535
- NPV Project 2 = -$100,000 - $2,000 + (N = 4, I = 7.55%, PMT = $40,000, FV = 0 →CPT PV = $133,823) = $31,823
Incorrect Adjustment for cost of equity method for accounting for flotation costs:
After-tax cost of debt = 8.0% (1-0.30) = 5.60%
Cost of equity = [$1.80 / $40.00(1-0.04)] + 0.05 = 0.0469 + 0.05 = 9.69%
WACC = 0.50(5.60%) + 0.50(9.69%) = 7.65%
- NPV Project 1 = -$200,000 + (N = 8, I = 7.65%, PMT = $55,000, FV = 0 →CPT PV = $320,327) = $120,327
- NPV Project 2 = -$100,000+ (N = 4, I = 7.65%, PMT = $40,000, FV = 0 →CPT PV = $133,523) = $33,523
Deighton Industries has 200,000 bonds outstanding. The par value of each corporate bond is $1,000, and the current market price of the bonds is $965. Deighton also has 6 million common shares outstanding, with a book value of $35 per share and a market price of $28 per share. At a recent board of directors meeting, Deighton board members decided not to change the company’s capital structure in a material way for the future. To calculate the weighted average cost of Deighton’s capital, what weights should be assigned to debt and to equity?
Debt Equity A) 48.85% 51.15% B) 56.55% 43.45% C) 53.46% 46.54%
C
In order to calculate the weighted average cost of capital (WACC), market value weights should be used.
For the bonds = 200,000 × $965 = $193,000,000
For the stocks = 6,000,000 × $28 = $168,000,000
$361,000,000
The weight of debt would be: 193,000,000 / 361,000,000 = 0.5346 = 53.46%
The weight of common stock would be: 168,000,000 / 361,000,000 = 0.4654 = 46.54%
A firm has $100 in equity and $300 in debt. The firm recently issued bonds at the market required rate of 9%. The firm’s beta is 1.125, the risk-free rate is 6%, and the expected return in the market is 14%. Assume the firm is at their optimal capital structure and the firm’s tax rate is 40%. What is the firm’s weighted average cost of capital (WACC)?
A) 5.4%.
B) 7.8%.
C) 8.6%.
B
CAPM = RE = RF + B(RM − RF) = 0.06 + (1.125)(0.14 − 0.06) = 0.15
WACC = (E ÷ V)(RE) + (D ÷ V)(RD)(1 − t)
V = 100 + 300 = 400
WACC = (1 ÷ 4)(0.15) + (3 ÷ 4)(0.09)(1 − 0.4) = 0.078
Capital Asset Pricing Model (CAPM) Formula = ?
CAPM = RF + B(RM − RF)
The cost of equity capital, kce, is ____
ways to calculate cost of common equity?
the required rate of return on the firm’s common stock.
- Dividend growth (or discounted cashflow) method: D1/P0 + g
- CAPM approach: kce = RF + β[E(Rmkt) − RF].
- Bond yield plus risk premium approach: add a risk premium of 3% to 5% to the market yield on the firm’s long-term debt.
A firm is planning a $25 million expansion project. The project will be financed with $10 million in debt and $15 million in equity stock (equal to the company’s current capital structure). The before-tax required return on debt is 10% and 15% for equity. If the company is in the 35% tax bracket, what cost of capital should the firm use to determine the project’s net present value (NPV)?
A) 11.6%.
B) 12.5%.
C) 9.6%.
A
WACC = (E / V)(RE) + (D / V)(RD)(1 − TC)
WACC = (15 / 25)(0.15) + (10 / 25)(0.10)(1 − 0.35) = 0.09 + 0.026 = 0.116 or 11.6%
how to calculate g (growth rate)
g = ROE * Retension rate
Axle Corporation earned £3.00 per share and paid a dividend of £2.40 on its common stock last year. Its common stock is trading at £40 per share. Axle is expected to have a return on equity of 15%, an effective tax rate of 34%, and to maintain its historic payout ratio going forward. In estimating Axle’s after-tax cost of capital, an analyst’s estimate of Axle’s cost of common equity would be closest to:
A) 8.8%.
B) 9.0%.
C) 9.2%.
We can estimate the company’s expected growth rate as ROE × (1 − payout ratio): g = 15% × (1 − 2.40/3.00) = 3%
The expected dividend next period is then £2.40(1.03) = £2.47. Based on dividend discount model pricing, the required return on equity is 2.47 / 40 + 3% = 9.18%.
_____ is the required rate of return on the firm’s common stock.
The cost of equity capital, kce
To calculate Kce, we can use bond yield plus risk premium approach: add a risk premium of ____ to the ____
3% to 5%; market yield on the firm’s long-term debt.
An analyst gathered the following information about a capital budgeting project:
The proposed project cost $10,000.
The project is expected to increase pretax net income and cash flow by $3,000 in each of the next eight years.
The company has 50% of its capital in equity at a cost of 12%.
The pretax cost of debt capital is 6%.
The company’s tax rate is 33%.
The project’s net present value is closest to:
A) $6,604.
B) $1,551.
C) $7,240.
B
WACC = (wd)(kd)(1 - t) + (wce)(kce) WACC = (0.5)(6%)(1 - 0.33) + (0.5)(12%) = 8.0%
The increase in after-tax cash flows for each year is 3,000 × (1 - 0.33) = $2,010.
I =8; N =8; PMT = $2,010; CPT→PV = $11,550.74
NPV = PV income - cost = $11,550.74 - $10,000 = $1,550.74
Cullen Casket Company is considering a project that requires a $175,000 cash outlay and is expected to produce cash flows of $65,000 per year for the next four years. Cullen’s tax rate is 40% and the before-tax cost of debt is 9%. The current share price for Cullen stock is $32 per share and the expected dividend next year is $1.50 per share. Cullen’s expected growth rate is 5%. Cullen finances the project with 70% newly issued equity and 30% debt, and the flotation costs for equity are 4.5%. What is the dollar amount of the flotation costs attributable to the project, and that is the NPV for the project, assuming that flotation costs are accounted for correctly?
Dollar amount of floatation costs NPV of project
A) $5,513 $30,510
B) $7,875 $30,510
C) $5,513 $32,872
C
In order to determine the discount rate, we need to calculate the WACC.
After-tax cost of debt = 9.0% (1 - 0.40) = 5.40%
Cost of equity = ($1.50 / $32.00) + 0.05 = 0.0469 + 0.05 = 0.0969, or 9.69%
WACC = 0.70(9.69%) + 0.30(5.40%) = 8.40%
Since the project is financed with 70% newly issued equity, the amount of equity capital raised is 0.70 × $175,000 = $122,500
Flotation costs are 4.5 percent, which equates to a dollar flotation cost of $122,500 × 0.045 = $5,512.50.
NPV: CF0 = -180,513, CF1=8.4%, F01=4 ==> 32,872
A North American investment society held a panel discussion on the topics of capital costs and capital budgeting. Which of the following comments made during this discussion is the least accurate?
A)
A project’s internal rate of return decreases when a breakpoint is reached.
B)
An increase in the after-tax cost of debt may occur at a break point.
C)
Any given project’s NPV will decline when a breakpoint is reached.
A
The internal rate of return is independent of the firm’s cost of capital. It is a function of the amount and timing of a project’s cash flows.
An analyst gathered the following data about a company:
Capital Structure Required Rate of Return
30% debt 10% for debt
20% preferred stock 11% for preferred stock
50% common stock 18% for common stock
Assuming a 40% tax rate, what after-tax rate of return must the company earn on its investments?
A) 14.2%.
B) 13.0%.
C) 10.0%.
B
(0.3)(0.1)(1 - 0.4) + (0.2)(0.11) + (0.5)(0.18) = 0.13
Which of the following is used to illustrate a firm’s weighted average cost of capital (WACC) at different levels of capital?
A) Cost of capital component schedule.
B) Schedule of marginal capital break points.
C) Marginal cost of capital schedule.
C
The marginal cost of capital schedule shows the WACC at different levels of capital investment. It is usually upward sloping and is a function of a firm’s capital structure and its cost of capital at different levels of total capital investment.
Ravencroft Supplies is estimating its weighted average cost of capital (WACC). Ravencroft’s optimal capital structure includes 10% preferred stock, 30% debt, and 60% equity. They can sell additional bonds at a rate of 8%. The cost of issuing new preferred stock is 12%. The firm can issue new shares of common stock at a cost of 14.5%. The firm’s marginal tax rate is 35%. Ravencroft’s WACC is closest to:
A) 11.5%.
B) 13.3%.
C) 12.3%.
A
0.10(12%) + 0.30(8%)(1 - 0.35) + 0.6(14.5%) = 11.46%.