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Reading 24

Corporate Issuers · Capital Investments

MODULE 24.1: CAPITAL INVESTMENTS AND PROJECT MEASURES

LOS 24.a

Describe types of capital investments.

The four types of capital investments include going concern projects, regulatory/compliance projects, expansion projects, and other projects.

  • Going concern projects may be needed to maintain the business or reduce costs. Projects that maintain the business do not require detailed analysis. The only issues are whether the existing operations should continue and, if so, whether existing procedures or processes should be maintained. Projects to improve efficiency may involve determining if equipment that is obsolete, but still usable, should be replaced. To reduce financing risk, companies often use a match funding approach, financing projects with capital sources that are consistent with the project life. Analysts often use a company's annual depreciation expense as an estimate of the capital investment it needs for going concern projects.
  • Regulatory/compliance projects may be required by a government agency or insurance company and often involve safety-related or environmental concerns. These projects typically generate little to no revenue and require the company to evaluate alternative ways of carrying out the projects.
  • Expansion projects grow the business and require a complex decision-making process that includes forecasting future demand. Expansion projects can involve entering new markets or introducing new products within the same market. A detailed analysis including forecasting revenues and expenses is required.
  • Other projects, such as new investments outside a company's existing lines of business, also entail a complex decision-making process with detailed analysis due to the uncertainty involved. Other projects are often similar to startups that explore a new technology or business idea. These projects can also involve buying out an existing company in a new industry, which involve risks that include overpaying.
中文翻譯

資本投資(capital investments)包含四大類型:持續經營項目、法規/合規項目、擴張項目,以及其他項目。

  • 持續經營項目(Going concern projects):用於維持現有業務或降低成本。維持現有業務的項目不需要詳細分析,只需判斷現有營運是否應繼續,以及現有流程是否應保留。提升效率的項目可能涉及判斷老舊但仍可使用的設備是否值得更換。為降低融資風險,企業常採用配對融資(match funding)——以與項目生命週期相符的資金來源來融資。分析師常以公司年度折舊費用估計持續經營項目所需的資本投資金額。
  • 法規/合規項目(Regulatory/compliance projects):可能由政府機關或保險公司要求,通常涉及安全或環保議題,幾乎不產生收入,公司須評估不同的執行方式。
  • 擴張項目(Expansion projects):用於擴大業務規模,決策過程複雜,需預測未來需求,並可能涉及進入新市場或推出新產品,須進行包含收入與費用預測的詳細分析。
  • 其他項目(Other projects):如公司現有業務範圍以外的新投資,因不確定性高,決策過程複雜,常類似新創事業。也可能涉及收購新行業中的現有公司,並面臨溢價收購等風險。
LOS 24.b

Describe the capital allocation process, calculate net present value (NPV), internal rate of return (IRR), and return on invested capital (ROIC), and contrast their use in capital allocation.

The capital allocation process is identifying and evaluating capital projects (i.e., projects where the cash flows to the firm will be received over a period longer than a year). Any corporate decisions with an impact on future earnings can be examined using this framework. Decisions about buying a new machine, expanding business into another geographic area, moving the corporate headquarters, or replacing a delivery truck, to name a few, can be examined using a capital allocation analysis.

For a number of good reasons, capital allocation may be the most important responsibility that a financial manager has. First, because a capital allocation decision often involves the purchase of costly long-term assets with lives of many years, the decisions made may determine the future success of the firm. Second, the principles underlying the capital allocation process also apply to other corporate decisions, such as working capital management and making strategic mergers and acquisitions. Finally, making good capital allocation decisions is consistent with management's primary goal of maximizing shareholder value.

The capital allocation process has four administrative steps:

  • Step 1: Idea generation. The most important step in the capital allocation process is generating good project ideas. Ideas can come from a number of sources, including senior management, functional divisions, employees, or sources outside the company.
  • Step 2: Analyzing project proposals. Because the decision to accept or reject a capital project is based on the project's expected future cash flows, a cash flow forecast must be made for each project to determine its expected profitability.
  • Step 3: Create the firm-wide capital budget. Firms must prioritize profitable projects according to the timing of the project's cash flows, available company resources, and the company's overall strategic plan. Many projects that are attractive individually may not make sense strategically.
  • Step 4: Monitoring decisions and conducting a post-audit. It is important to follow up on all capital allocation decisions. An analyst should compare the actual results to the projected results, and project managers should explain why projections did or did not match actual performance. Because the capital allocation process is only as good as the estimates of the inputs into the model used to forecast cash flows, a post-audit should be used to identify systematic errors in the forecasting process and improve company operations.
中文翻譯

資本預算(capital allocation)流程是指識別並評估資本項目(即現金流量跨越超過一年期間的項目)的過程。任何對公司未來盈餘有影響的決策,都可以用這個框架來分析,例如購置新機器、擴張至新地區、搬遷總部或汰換配送車輛等。

資本預算可能是財務經理人最重要的職責,原因有三:第一,資本預算決策往往涉及昂貴的長期資產,決策品質可能決定公司未來的成敗;第二,資本預算的基本原則同樣適用於其他公司決策,如營運資金管理和策略性併購;第三,做出優質的資本預算決策,符合管理層極大化股東財富的核心目標。

資本預算流程有四個行政步驟:

  • 步驟 1:產生投資構想(Idea generation)。最重要的一步,構想可來自高階管理層、各部門、員工或公司外部。
  • 步驟 2:分析項目提案(Analyzing project proposals)。決策基礎是項目預期未來現金流量,因此須對每個項目進行現金流量預測,以評估其獲利性。
  • 步驟 3:制定全公司資本預算(Create the firm-wide capital budget)。企業須根據現金流量時點、可用資源及整體策略計劃,對獲利項目排定優先順序。許多個別看起來有吸引力的項目,整體策略上不一定合適。
  • 步驟 4:監控決策並進行事後稽核(Post-audit)。應追蹤所有資本預算決策,比較實際與預期結果,找出預測流程中的系統性錯誤,並改善公司營運。

Net Present Value (NPV)

Net present value (NPV) is the sum of the present values of all the expected incremental cash flows if a project is undertaken. The discount rate used is the firm's cost of capital, adjusted for the risk level of the project. For a normal project, with an initial cash outflow followed by a series of expected after-tax cash inflows, the NPV is the present value of the expected inflows minus the initial cost of the project.

\[NPV = CF_0 + \frac{CF_1}{(1+k)^1} + \frac{CF_2}{(1+k)^2} + \dots + \frac{CF_n}{(1+k)^n} = \sum_{t=0}^{n} \frac{CF_t}{(1+k)^t}\]

where:

  • \(CF_0\) = initial investment outlay (a negative cash flow)
  • \(CF_t\) = after-tax cash flow at time t (can be positive or negative)
  • \(k\) = required rate of return for project

A positive NPV project is expected to increase shareholder wealth, a negative NPV project is expected to decrease shareholder wealth, and a zero NPV project has no expected effect on shareholder wealth.

For independent projects, the NPV decision rule is simply to accept any project with a positive NPV and to reject any project with a negative NPV.

Example
Net present value

Using the project cash flows in the table below, calculate the NPV of the project and determine whether it should be accepted or rejected. Assume that the cost of capital is 9%.

Figure 24.1: Expected Net After-Tax Cash Flows
YearCash Flow
0−$100
1$25
2$50
3$75

Answer:

\[NPV = -100 + \frac{25}{(1.09)^1} + \frac{50}{(1.09)^2} + \frac{75}{(1.09)^3} = 22.93\]

The project has a positive NPV, so it should be accepted.

You may calculate NPV directly by using the cash flow (CF) keys on your calculator. The process is illustrated in the table below.

Figure 24.2: Calculating NPV With the TI BA II Plus™
KeystrokesExplanationDisplay
[CF] [2nd] [CLR WORK]Clear memory registersCF0 = 0.0000
100 [+/−] [ENTER]Initial cash outlayCF0 = −100.0000
[↓] 25 [ENTER]Period 1 cash flowC01 = 25.0000
[↓]Frequency of cash flow 1F01 = 1.0000
[↓] 50 [ENTER]Period 2 cash flowC02 = 50.0000
[↓]Frequency of cash flow 2F02 = 1.0000
[↓] 75 [ENTER]Period 3 cash flowC03 = 75.0000
[↓]Frequency of cash flow 3F03 = 1.0000
[NPV] 9 [ENTER]9% discount rateI = 9.0000
[↓] [CPT]Calculate NPVNPV = 22.9335
中文翻譯

淨現值(NPV)是執行項目後,所有預期增量現金流量折現值的總和。折現率為公司資本成本(依項目風險調整)。對於一般項目(期初現金流出,後續為稅後現金流入):

\[NPV = CF_0 + \frac{CF_1}{(1+k)^1} + \dots + \frac{CF_n}{(1+k)^n} = \sum_{t=0}^{n} \frac{CF_t}{(1+k)^t}\]

其中:CF₀ = 期初投資支出(負值);CF_t = t 時點稅後現金流量;k = 項目所要求的報酬率。

NPV > 0 → 預期增加股東財富(應接受);NPV < 0 → 預期減損股東財富(應拒絕);NPV = 0 → 對股東財富無影響。

對於獨立項目:NPV 為正則接受,NPV 為負則拒絕。

【例】使用圖 24.1 中的現金流量,計算 NPV(資本成本 9%):

NPV = −100 + 25/(1.09) + 50/(1.09)² + 75/(1.09)³ = 22.93(正值,應接受)。

可使用財務計算機 CF 鍵直接計算,操作步驟如圖 24.2 所示。

Internal Rate of Return (IRR)

For a normal project, the internal rate of return (IRR) is the discount rate that makes the present value of the expected incremental after-tax cash inflows just equal to the initial cost of the project. More generally, the IRR is the discount rate that makes the present value of a project's estimated cash inflows equal to the present value of the project's estimated cash outflows. That is, IRR is the discount rate that makes the following relationship hold:

\[PV(\text{inflows}) = PV(\text{outflows})\]

The IRR is also the discount rate for which the NPV of a project is equal to zero:

\[NPV = 0 = CF_0 + \frac{CF_1}{(1+IRR)^1} + \frac{CF_2}{(1+IRR)^2} + \dots + \frac{CF_n}{(1+IRR)^n}\]

IRR decision rule: If IRR is greater than the required rate of return, accept the project. If IRR is less than the required rate of return, reject the project.

The required rate of return for a given project is usually the firm's cost of capital. However, a project analyst may adjust the required rate of return above or below the firm's cost of capital to account for differences between the project's risk and the average risk of all of the firm's projects. For this reason, the minimum IRR above which a project will be accepted is often referred to as the hurdle rate.

Example
Internal rate of return

Continuing with the cash flows from Figure 24.1, calculate the IRR of the project and determine whether it should be accepted or rejected. Assume that the required rate of return is 9%.

Answer:

\[0 = -100 + \frac{25}{(1+IRR)} + \frac{50}{(1+IRR)^2} + \frac{75}{(1+IRR)^3}\]

The cash flows should be entered as in Figure 24.2. With the TI calculator, use [IRR] [CPT] to get IRR = 19.4377%.

The project should be accepted because its IRR is greater than the 9% required rate of return.

A project has a conventional cash flow pattern if the sign on the cash flows changes only once, with one or more cash outflows followed by one or more cash inflows. An unconventional cash flow pattern has more than one sign change, which may produce multiple IRRs that are difficult to interpret. Spreadsheet software is most suitable for calculating NPV and IRR with unconventional cash flows.

Relative Advantages and Disadvantages of the NPV and IRR Methods

A key advantage of NPV is that it is a direct measure of the expected increase in the value of the firm. In theory, a positive NPV project should cause a proportionate increase in a company's stock price.

A key advantage of IRR is that it measures profitability as a percentage, showing the return on each dollar invested. The IRR provides information on the margin of safety that the NPV does not.

The disadvantages of the IRR method are:

  • It assumes that project's cash flows are reinvested at the IRR while NPV assumes that those cash flows are reinvested at the project's required rate of return. It is more realistic to assume the latter.
  • For multiple sign changes, a project may have multiple IRRs that are difficult to interpret.
中文翻譯

內部報酬率(IRR)是使項目現金流入現值等於現金流出現值的折現率,也就是使 NPV = 0 的折現率:

\[NPV = 0 = CF_0 + \frac{CF_1}{(1+IRR)^1} + \dots + \frac{CF_n}{(1+IRR)^n}\]

IRR 決策規則:IRR > 要求報酬率 → 接受;IRR < 要求報酬率 → 拒絕。

項目的要求報酬率通常為公司資本成本,但可依項目風險高低調整。接受項目所需超越的最低 IRR 稱為障礙率(hurdle rate)

【例】延續圖 24.1 的現金流量,計算 IRR(要求報酬率 9%):

0 = −100 + 25/(1+IRR) + 50/(1+IRR)² + 75/(1+IRR)³ → 用 TI BA II Plus [IRR][CPT] → IRR = 19.4377%

因 IRR > 9%,應接受該項目。

若現金流量符號只改變一次(先流出後流入),稱為傳統型現金流量(conventional cash flow);符號改變超過一次為非傳統型,可能出現多個 IRR,建議改用試算表計算。

NPV vs. IRR 優缺點:

NPV 優點:直接衡量公司價值增量,正 NPV 理論上應導致股價同比例上升。

IRR 優點:以百分比衡量獲利性,提供安全邊際資訊。

IRR 缺點:(1) 假設再投資利率等於 IRR(NPV 假設為要求報酬率,後者較為現實);(2) 非傳統型現金流量可能出現多個 IRR,難以解讀。

Return on Invested Capital (ROIC)

One way to examine whether a company is creating value for its shareholders is to compare the return on the company's investment in assets to its cost of capital. A company's return on invested capital (ROIC), or simply return on capital, is defined as its net operating profit after tax (NOPAT) divided by the average book value of its total capital over the period:

\[\text{ROIC} = \frac{\text{net operating profit after tax (NOPAT)}}{\text{average book value of invested capital}}\]

After-tax operating profit is net income plus after-tax interest expense. We use this because we want to measure the return to all sources of capital (both debt and equity). Invested capital includes long-term debt and equity, but excludes working capital.

We can rewrite the ROIC equation as:

\[\text{ROIC} = \left( \frac{\text{NOPAT}}{\text{Sales}} \right) \times \left( \frac{\text{Sales}}{\text{Average Invested Capital}} \right)\]

We refer to the ratio of after-tax operating profit to sales as operating margin after tax, and we refer to the ratio of sales to invested capital as capital turnover or asset turnover. A company can increase its ROIC by improving its operating margin or by increasing its capital turnover.

Analysts compare ROIC to investors' required rate of return (a blended rate for both debt and equity). If ROIC is greater than the required rate, the firm is adding value over time.

One attraction of ROIC is that it is based on accounting data, which are available to outside investors. While NPV and IRR are project-specific, ROIC is for the firm as a whole.

There are three concerns with using ROIC:

  1. Because accounting treatments differ, ROIC may not be comparable across companies.
  2. ROIC is backward-looking and can be volatile from year to year.
  3. Because ROIC is for the whole company, it may let profitable projects and good decisions mask unprofitable projects and poor decisions.
中文翻譯

投入資本報酬率(ROIC)定義為稅後淨營業利潤(NOPAT)除以期間平均帳面投入資本:

\[\text{ROIC} = \frac{\text{NOPAT}}{\text{平均投入資本帳面價值}}\]

稅後營業利潤 = 淨利 + 稅後利息費用(衡量對所有資本來源的報酬)。投入資本包含長期負債與股東權益,但不包含營運資金。

ROIC 可進一步拆解:

ROIC = 稅後營業利潤率(NOPAT/銷售額)× 資本周轉率(銷售額/平均投入資本)

公司可透過提升稅後營業利潤率或提高資本周轉率來增加 ROIC。

分析師將 ROIC 與投資人的加權要求報酬率相比:ROIC > 要求報酬率,公司隨時間創造價值。

ROIC 基於會計數據,外部投資人可取得;NPV 與 IRR 針對單一項目,ROIC 則是針對整家公司,對外部投資人更具參考意義。

使用 ROIC 的三個疑慮:

  1. 不同公司會計處理方式不同,跨公司可比性不佳。
  2. ROIC 是後顧性指標,且逐年波動可能較大。
  3. ROIC 是全公司整體數字,獲利項目可能掩蓋虧損項目。
📝 Module Quiz 24.1
1. Which of the following is most likely a going concern project?
  • A. Opening a retail outlet in a new region.
  • B. Acquiring and merging with a supplier to secure a source for a key component.
  • C. Purchasing a new model of a factory machine that will decrease unit production costs.
C — Going concern projects are those to maintain the business or to increase the efficiency of existing operations. The other two projects are business growth investments that increase the size of the company. (LOS 24.a)
2. In the capital allocation process, a post-audit is used to:
  • A. improve cash flow forecasts and stimulate management to improve operations and bring results into line with forecasts.
  • B. improve cash flow forecasts and eliminate potentially profitable but risky projects.
  • C. stimulate management to improve operations, bring results into line with forecasts, and eliminate potentially profitable but risky projects.
A — A post-audit identifies what went right and what went wrong. It is used to improve forecasting and operations. (LOS 24.b)
3. A company is considering the purchase of a copier that costs $5,000. Assume a required rate of return of 10% and the following cash flow schedule: Year 1: $3,000; Year 2: $2,000; Year 3: $2,000. The project's NPV is closest to:
  • A. –$309.
  • B. +$883.
  • C. +$1,523.
B — CF₀ = −5,000; CF₁ = 3,000; CF₂ = 2,000; CF₃ = 2,000; I/Y = 10; NPV = $883. (LOS 24.b)

MODULE 24.2: CAPITAL ALLOCATION PRINCIPLES AND REAL OPTIONS

LOS 24.c

Describe principles of capital allocation and common capital allocation pitfalls.

Principles of Capital Allocation

The capital allocation process involves the following key principles:

  • Decisions are based on after-tax cash flows, not accounting income. Accounting income is based on accruals and does not consider the timing of cash flows. The impact of taxes must be considered when analyzing all capital allocation projects. Firm value is based on cash flows firms get to keep, not those they send to the government. Any tax savings from non-cash tax deductions, such as depreciation and amortization, should also be included in the analysis.
  • Incremental cash flows only. Incremental cash flows are those that change if the project is undertaken. Sunk costs are costs that cannot be avoided even if the project is not undertaken. Because these costs are not affected by the accept/reject decision, they should not be included in the analysis. An example of a sunk cost is a consulting fee paid to a marketing research firm to estimate demand for a new product before making a decision on the project. Project analysis should consider the cash flow impact on other parts of the business. A negative effect, called cannibalization, occurs when a new project replaces sales from an existing product. A positive externality exists when doing the project would have a positive effect on sales of a firm's other product lines.
  • The timing of cash flows is important. Capital allocation decisions account for the time value of money, which means that cash flows received earlier are worth more than cash flows to be received later.

Cognitive Errors

Common cognitive mistakes managers make when evaluating capital projects include:

  • Poor forecasting. Examples include incorrectly allocating overhead costs or neglecting to anticipate how competitors will respond to a project.
  • Not considering the cost of internal funds. Often, the cost of internally generated funds is not accounted for (it should be same as cost of equity because those funds would have been paid as dividends if not for the project). Companies that have an aversion to paying dividends are potentially using the retained earnings to fund poor projects.
  • Incorrectly accounting for inflation. Firms can analyze projects either in nominal or real terms. An analysis based on real cash flows must also use a real discount rate.

Behavioral Biases

  • Pet projects of senior management. Projects that have the personal backing of influential members of senior management may contain overly optimistic projections that make the project appear more profitable than it really is. In addition, the project might not be subjected to the same level of scrutiny as other projects.
  • Inertia in setting the entire capital budget. Capital budgets for many companies are similar from one year to the next. This indicates anchoring of capital budgets to the prior year rather than appropriately considering what opportunities exist every year. Analysts should watch for companies with static or rising capital budgets coupled with declining returns as a sign of this bias.
  • Basing investment decisions on EPS or ROE. Managers whose incentive compensation is tied to increasing EPS or ROE may avoid positive long-term NPV investments that are expected to reduce EPS or ROE in the short run.
  • Failure to generate alternative investment ideas. Generating investment ideas is a crucial step in the capital allocation process. However, once a manager comes up with a "good" idea, he or she may go with it rather than searching for an idea that is "better."
中文翻譯

資本預算的核心原則:

  • 決策基於稅後現金流量,而非會計利潤。會計利潤以應計基礎計算,不反映現金流量時點。企業價值來自公司實際留存的現金流量。折舊攤銷等非現金扣稅項目所產生的稅盾利益也應納入分析。
  • 只考慮增量現金流量(incremental cash flows)。沉沒成本(sunk costs)是無論是否執行項目都無法避免的成本,不應納入分析(例如:決策前已支付的市調顧問費)。同時應考慮對其他業務的影響:若新項目搶奪現有產品銷售,稱為蠶食效應(cannibalization);若對其他產品銷售有正面效益,則為正外部效應(positive externality)
  • 現金流量的時點很重要。資本預算決策考慮貨幣時間價值——越早收到的現金流量價值越高。

認知錯誤(Cognitive Errors):

  • 預測不佳:例如管理費用分攤不當,或未預測競爭者的反應。
  • 未考慮內部資金成本:自有資金的機會成本應與股權成本相同(若不做項目,這些資金本可以股利形式發放)。厭惡發放股利的公司,可能把保留盈餘投入劣質項目。
  • 未正確處理通膨:若使用實質現金流量分析,折現率也必須使用實質折現率。

行為偏誤(Behavioral Biases):

  • 高管的偏愛項目(Pet projects):具有高階主管個人背書的項目,預測可能過度樂觀,且審查力度可能不足。
  • 資本預算的慣性:許多公司的資本預算年年雷同,顯示錨定上一年度的偏誤。分析師應留意資本預算穩定或上升但報酬率下降的公司。
  • 以 EPS 或 ROE 為決策基礎:可能迴避雖具長期正 NPV 但短期會拉低 EPS 或 ROE 的投資。
  • 未能產生替代投資構想:一旦找到「好」構想,經理人可能不再繼續搜尋更好的方案。
LOS 24.d

Describe types of real options relevant to capital investments.

Real options are future actions that a firm can take, given that they invest in a project today. Real options are similar to financial options (put and call options) in that they give the option holder the right, but not the obligation, to take a future action. The value of real options could enhance a project's NPV. Options never have negative values because if, in the future, the specified action will have a negative value, the option holder will not take the action (i.e., not exercise the option).

Types of real options include the following:

  • Timing options allow a company to delay making an investment because it expects to have better information in the future.
  • Abandonment options allow management to abandon a project if the present value of the incremental cash flows from exiting a project exceeds the present value of the incremental cash flows from continuing the project.
  • Expansion options or growth options allow a company to make additional investments in future projects if the company decides they will create value.
  • Flexibility options give managers choices regarding the operational aspects of a project. The two main forms are:
    • Price-setting options: allow the company to change the price of a product. For example, the company may raise prices if demand for a product is high.
    • Production-flexibility options: may include paying workers overtime, using different materials as inputs, or producing a different variety of product.
  • Fundamental options are projects that are options themselves because the payoffs depend on the price of an underlying asset. For example, the payoff for a copper mine is dependent on the market price for copper. The operator has the option to close the mine when prices are low and open it when prices are high.

One way companies can include real options in their project analysis is to estimate their value and add it to the NPV (while subtracting any extra cost to acquire the real option). This can incorporate available techniques such as option pricing models or decision trees. Another approach is to simply consider the NPV without real options to be the project's minimum value.

中文翻譯

實質選擇權(real options)是公司在今天投資某項目後,未來可以採取的行動選擇。實質選擇權類似金融選擇權,給予持有人採取未來行動的權利但非義務。實質選擇權的價值可提升項目的 NPV,且選擇權價值永遠不為負(若行動帶來負價值,持有人不會執行)。

實質選擇權的類型包括:

  • 時機選擇權(Timing options):允許公司延遲投資,等待未來取得更充分的資訊。
  • 放棄選擇權(Abandonment options):當放棄項目所獲得的增量現金流量現值,超過繼續執行的現值時,允許管理層放棄該項目。
  • 擴張選擇權/成長選擇權(Expansion/growth options):若公司判斷能創造價值,可追加投資於未來項目。
  • 彈性選擇權(Flexibility options):給管理層在項目營運層面的選擇空間,主要有兩種:
    • 訂價選擇權(Price-setting options):允許公司調整產品售價,例如需求旺盛時提價以獲益,而不須增加產量。
    • 生產彈性選擇權(Production-flexibility options):例如讓員工加班、改用不同投入材料,或生產不同品種的產品。
  • 基礎選擇權(Fundamental options):項目本身就是一種選擇權,報酬取決於某種標的資產的價格。例如銅礦的報酬取決於銅的市場價格,礦場運營商有權在銅價低時關閉礦場,在銅價高時重新開採。

將實質選擇權納入項目分析的方式:(1) 估計其價值後加入 NPV(同時扣除取得實質選擇權的額外成本),可採用選擇權定價模型或決策樹等工具;(2) 也可以簡單地把「未含實質選擇權的 NPV」視為項目價值的下限。

📝 Module Quiz 24.2
1. Which of the following statements concerning the principles underlying the capital allocation process is most accurate?
  • A. Cash flows should include tax benefits of non-cash expense deductions.
  • B. The net income for a project is essential for making a correct capital allocation decision.
  • C. Cash flows should be project specific, ignoring sunk costs and impacts on other parts of the business.
A — Cash flows should be after-tax and include any tax savings from non-cash deductions (e.g., depreciation and amortization). While sunk costs should be ignored, the impact on other parts of the business (positive or negative) should be accounted for by adjusting cash flows. Accounting net income, which includes non-cash expenses, is irrelevant. Incremental cash flows are essential for making correct capital allocation decisions. (LOS 24.c)
2. A manufacturer of clothes washing machines decides to add matching clothes dryers to its product line. In this case, it is most likely important in the project analysis to consider:
  • A. sunk costs.
  • B. negative impact on other parts of the business.
  • C. positive impact on other parts of the business.
C — It is quite possible that offering a matching dryer will increase sales of their washers because some consumers will prefer a matching set. The increased sales of their washers is a positive impact, and those incremental profits should be considered in the analysis. A negative impact on another part of the business would be a consideration if introducing dryers could be expected to decrease washer sales. Sunk costs should not be considered in project analysis. (LOS 24.c)
3. An analyst is estimating the NPV of a project to introduce a new spicier version of its well-known barbeque sauce into its product line. A cost that should most likely be excluded from his analysis is:
  • A. $200,000 to develop a recipe for the new sauce.
  • B. $100,000 for a marketing survey that was conducted to determine demand for a spicier sauce.
  • C. a $150,000 decrease in sales of its current sauce as some current customers switch to the spicier sauce.
B — The cost of the marketing survey should not be included because it is a sunk cost; it will be incurred whether they decide to do the project or not. The decrease in sales of their current sauce if the spicier version is introduced (cannibalization) should be considered in the analysis. The cost of recipe development should be included because it will only be incurred if they decide to go ahead with the introduction of the new spicier sauce. (LOS 24.c)
4. Albert Duffy, a project manager at Crane Plastics, is considering taking on a new capital project. When presenting the project, Duffy shows members of Crane's executive management team that, because the company has the ability to have employees work overtime, the project makes sense. The project Duffy is taking on would be best described as having a(n):
  • A. flexibility option.
  • B. expansion option.
  • C. fundamental option.
A — The project described has production flexibility regarding the level of production. Other flexibility options might be to produce a different product or to use different inputs at some future date. Including the value of real options can improve the NPV estimates for individual projects. (LOS 24.d)
KEY CONCEPTS
LOS 24.a

Capital investments include going concern projects to maintain a business or to reduce costs, required regulatory/compliance projects, expansion projects, and other projects that increase the size and scope of a company.

LOS 24.b

Capital allocation is the process of evaluating capital projects (i.e., projects with cash flows over a period longer than one year).

Steps of the capital allocation process are: (1) generate investment ideas; (2) analyze project ideas; (3) create a firm-wide capital budget; and (4) monitor decisions and conduct a post-audit.

NPV is the sum of the present values of a project's expected cash flows and represents the change in firm value from undertaking a project. Positive NPV projects should be undertaken, but negative NPV projects should not because they are expected to decrease the value of the firm.

An IRR is the discount rate at which the present values of a project's expected cash inflows and cash outflows are equal (i.e., the discount rate for which the NPV of a project is zero). A project for which the IRR is greater (less) than the appropriate discount rate for the project will have an NPV that is positive (negative) and should be accepted (not accepted).

Return on invested capital can be compared to a company's required rate of return to indicate whether the company has increased or decreased firm value over time.

LOS 24.c

Capital allocation decisions should be based on after-tax cash flows, ignore sunk costs, and capture any spillover effects on other parts of the business. Timing of cash flows is important.

Common mistakes in the capital allocation process include:

  • Having overly optimistic assumptions for pet projects of senior management
  • Basing long-term investment decisions on short-term EPS or ROE considerations
  • Poor cash flow estimation, misestimating overhead costs, and improper accounting for inflation
  • Not accounting for cost of internally generated funds in the estimate of required rate of return
  • Static capital budgets without regard to actual investment opportunities
  • Failure to generate alternative investment ideas
LOS 24.d

Real options allow managers to make future decisions that change the value of capital allocation decisions made today.

  • Timing options allow a company to delay making an investment.
  • Abandonment options allow management to abandon a project if the present value of the incremental cash flows from exiting a project exceeds the present value of the incremental cash flows from continuing a project.
  • Expansion options allow a company to make additional investments in a project if doing so creates value.
  • Flexibility options give managers choices regarding the operational aspects of a project. The two main forms are price-setting and production-flexibility options.
  • Fundamental options are projects that are options themselves because the payoffs depend on the price of an underlying asset.
中文翻譯(重點整理)

LOS 24.a

資本投資包含:持續經營項目(維持業務或降低成本)、必要的法規/合規項目、擴張項目,以及擴大公司規模與範疇的其他項目。

LOS 24.b

資本預算(capital allocation)是評估資本項目的流程,四步驟:(1) 產生投資構想;(2) 分析項目構想;(3) 制定全公司資本預算;(4) 監控決策並進行事後稽核。

NPV 是項目預期現金流量現值的總和,代表執行項目對公司價值的影響。正 NPV 應執行,負 NPV 應拒絕。

IRR 是使項目預期現金流入與流出現值相等的折現率(NPV = 0 的折現率)。IRR 大於(小於)要求報酬率,則 NPV 為正(負),應接受(拒絕)。

ROIC 可與公司要求報酬率比較,判斷公司是否隨時間創造或損耗企業價值。

LOS 24.c

資本預算決策應基於稅後現金流量,忽略沉沒成本(sunk costs),並納入對公司其他業務的外溢效應。現金流量的時點至關重要。

常見資本預算錯誤包括:高管偏愛項目過度樂觀的假設、以短期 EPS 或 ROE 為長期投資依據、現金流量估計不當(含管理費用與通膨處理錯誤)、未計算內部自有資金成本、資本預算過於僵化、未能產生替代投資構想。

LOS 24.d

實質選擇權(real options)允許管理層在未來做出改變今日資本預算決策價值的選擇,包括:時機選擇權(延遲投資)、放棄選擇權(退出現值 > 繼續現值時放棄)、擴張選擇權(追加投資)、彈性選擇權(訂價或生產彈性),以及基礎選擇權(報酬依賴標的資產價格的項目本身即為選擇權)。

ANSWER KEY FOR MODULE QUIZZES

Module Quiz 24.1

1. C Going concern projects are those to maintain the business or to increase the efficiency of existing operations. The other two projects are business growth investments that increase the size of the company. (LOS 24.a)

2. A A post-audit identifies what went right and what went wrong. It is used to improve forecasting and operations. (LOS 24.b)

3. B CF₀ = −5,000; CF₁ = 3,000; CF₂ = 2,000; CF₃ = 2,000; I/Y = 10; NPV = $883. (LOS 24.b)

Module Quiz 24.2

1. A Cash flows should be after-tax and include any tax savings from non-cash deductions (e.g., depreciation and amortization). While sunk costs should be ignored, the impact on other parts of the business (positive or negative) should be accounted for by adjusting cash flows. Accounting net income, which includes non-cash expenses, is irrelevant. Incremental cash flows are essential for making correct capital allocation decisions. (LOS 24.c)

2. C It is quite possible that offering a matching dryer will increase sales of their washers because some consumers will prefer a matching set. The increased sales of their washers is a positive impact, and those incremental profits should be considered in the analysis. Sunk costs should not be considered in project analysis. (LOS 24.c)

3. B The cost of the marketing survey should not be included because it is a sunk cost; it will be incurred whether they decide to do the project or not. The decrease in sales of their current sauce if the spicier version is introduced (cannibalization) should be considered in the analysis. The cost of recipe development should be included because it will only be incurred if they decide to go ahead with the introduction of the new spicier sauce. (LOS 24.c)

4. A The project described has production flexibility regarding the level of production. Other flexibility options might be to produce a different product or to use different inputs at some future date. Including the value of real options can improve the NPV estimates for individual projects. (LOS 24.d)

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