Capital Investments and Capital Allocation

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Introduction


Capital investments are investments with a life of one year or more. Companies make capital investments to generate value for their shareholders.

Capital allocation is the process by which companies make capital investment decisions. Capital allocation is important because it impacts a company’s future.



Capital Investments


Capital investments are shown on the balance sheet as long-term assets. A portion of the cost is recorded on the income statement periodically as a non-cash depreciation or amortization expense over the asset’s useful life. In subsequent periods, the amount on the balance sheet is shown on a net basis, i.e., initial cost – accumulated depreciation. The net value declines to zero or a salvage value at the end of the asset’s useful life.

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Types of Capital Projects


Companies invest for two primary reasons – to maintain their existing business and to grow it.

Projects undertaken by companies to maintain the business include:

Projects undertaken by companies to expand the business include:

Going Concern Projects


Regulatory Compliance Projects


Expansion of Existing Business


New Lines of Business and Other Projects




Capital Allocation


Capital allocation is the process used by an issuer’s management to make capital investment decisions.

Steps in Capital Allocation Process


The steps in the capital allocation process are as follows:

  1. Idea generation: Investment ideas can come from anywhere within the organization, or outside (customers, vendors, etc.).
    What projects can add value to the company in the long term?
  2. Investment analysis: Gathering information to forecast cash flows for each project and then computing the project’s profitability.
    Output: A list of profitable projects.
  3. Planning and prioritization: Do the profitable projects fit in with the company’s long-term strategy? Is the timing appropriate?
    Some projects may be profitable in isolation but not so much when considered along with the other projects. Scheduling and prioritizing of projects are important.
  4. Monitoring and post-investment review: Post-investment review helps in assessing how effective the capital budgeting process was.
    How do the actual revenues, expenses, and cash flows compare against the predictions?

Post-investment review is useful in three ways:

Two widely used analytical tools in the investment analysis step are NPV and IRR.

Net Present Value (NPV)


Net present value is the present value of the future after tax cash flows minus the investment outlay.

NPV=\sum_{i=0}\frac{CF_i}{(1+r)^i} $$==Decision rule:== <u>For independent projects:</u> - If NPV > 0, accept. - If NPV < 0, reject. <u>For mutually exclusive projects:</u> Accept the project with higher and positive NPV. >[!Tip] >Excel has 2 functions to solve for NPV. >- `NPV`(rate, values) >- `XNPV`(rate, values, dates) > >where `rate` is the discount rate, `values` are the cash flows and `dates` are dates of each cash flows. ### Internal Rate of Return (IRR) --- IRR is the discount rate that makes the present value of future cash flows equal to the investment outlay. We can also say that IRR is the discount rate which makes NPV equal to 0. ==Decision rule: == <u>For independent projects: </u> - If IRR > required rate of return (usually firms cost of capital adjusted for projects riskiness), accept the project. - If IRR < required rate of return, reject the project. The required rate of return is also called **hurdle rate**. <u>For mutually exclusive projects:</u> Accept the project with higher IRR (as long as IRR > cost of capital). >[!Tip] >Excel has 2 functions to solve for IRR. >- `IRR`(values, guess) >- `XIRR`(values, dates, guess) > >where `values` are the cash flows, `guess` is optional that defaults to 10% and `dates` are dates of each cash flows. ### Ranking conflicts between NPV and IRR --- For single and independent projects with conventional cash flows, there is no conflict between NPV and IRR decision rules. However, for ***mutually exclusive projects*** the two criteria may give conflicting results. The reason for conflict is due to differences in cash flow patterns and differences in project scale. >[!Example] Consider two projects one with an initial outlay of $1 million and another project with an initial outlay of $1 billion. It is possible that the smaller project has a higher IRR, but the increase in firm value (NPV) is small as compared to the increase in firm value (NPV) of the larger project. In case of a conflict, we should always go with the ==NPV criterion== because: - The NPV is a direct measure of expected increase in value of the firm. - The NPV assumes reinvestment of cash flows at the required rate of return (more realistic), whereas the IRR assumes reinvestment of cash flows at the IRR rate (less realistic). - IRR is not useful for projects with non-conventional cash flows as such projects can have multiple IRRs , i.e., there are more than one discount rates that will produce an NPV equal to zero. | | NPV | IRR | | ------------- | ------------------------------------------------------------------------------------------------ | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | | Advantages | - Direct measure of expected increase in value of the firm. <br>- Theoretically the best method. | - Shows the return on each dollar invested. <br>- Allows us to compare return with the required rate. | | Disadvantages | - Does not consider project size. | - Incorrectly assumes that cash flows are reinvested at IRR rate. The correct assumption is that intermediate cash flows are reinvested at the required rate. <br>- Might conflict with NPV analysis.<br>- Possibility of multiple IRRs. | ### Return on Invested Capital --- Outside investors and analysts often do not have the information necessary to calculate a project’s NPV and IRR. They get consolidated financial statements which includes the cash flows associated with many projects. Therefore, they use a profitability measure – return on invested capital to evaluate the capital allocation decisions of a company. $$ROIC = \frac{\text{After tax operating profit}}{\text{Average invested capital}}

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ROIC reflects how effectively a company’s management is able to convert capital into after-tax operating profits.

Note that the numerator excludes interest expense because it represents a source of return to providers of debt capital, and the denominator includes sources of capital from all providers.

If the ROIC measure is higher than the cost of capital (COC), the company is generating a higher return for investors compared with the required return, thereby increasing the firm’s value. We can also say that projects with positive NPV will have a ROIC that is greater than the COC.

Example

Assume that a company reported 24,395 in Year 2 after-tax operating profits and the following balance sheet information.

| | End of Yr 1 | End of Yr 2 | |
| ----------------- | ----------- | ----------- | --- |
| Cash | 4,364 | 6,802 | 1 |
| Short Term Assets | 40,529 | 52,352 | 2 |
| Long Term Assets | 287,857 | 279,769 | 3 |
| Acc Payable | 35,221 | 50,766 | 4 |
| Short Term Debt | 21,142 | 5,877 | 5 |
| Long Term Debt | 112,257 | 106,597 | 6 |
| Share Capital | 15,688 | 15,688 | 7 |
| Retained Earning | 148,442 | 159,995 | 8 |

Average LT liabilities and equity = 6 + 7 + 8
Therefore, ROIC = 8.73%



Capital Allocation Principles and Pitfalls


Capital Allocation Principles


The key principles of capital allocation are:

Capital Allocation Pitfalls


Common capital allocation pitfalls can be divided into cognitive errors and behavioral biases.

Cognitive errors include calculation and other mistakes, while behavioral biases include errors in judgment and blind spots.

Cognitive Errors in Capital Allocation


Behavioral Biases in Capital Allocation




Real Options


Real options are options that allow managers to make decisions in the future that change the value of capital investment decisions made today. As with financial options, real options are contingent on future events. The difference is that real options deal with real assets.

Types of real options include:

There are several approaches to evaluating capital allocation projects with real options.

  1. Use DCF analysis without considering options.
    If the NPV of the project without considering options is positive, then we can go ahead and make the investment. The presence of real options will simply add even more value. Therefore, it is not necessary to determine the value of the options separately.
  2. If NPV is negative without considering options, then calculate project NPV and check if it turns positive after the options are considered.

Project NPV = NPV (based on DCF alone) – Cost of options + Value of options.

  1. Use decision trees and option pricing models. They can help in many sequential decision-making problems.
Example

Assume that Gerhardt Corporation is considering a €500 million outlay for a capital investment in a facility to produce a new product. Gerhardt assigns a 60% probability to a successful product launch, which is expected to return €750 million in one year’s time. Gerhardt’s finance team has also conducted an analysis of alternative facility uses, summarizing the timing and probability of cash flows associated with each real option in the following decision tree

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  1. Calculate the NPV of Gerhardt’s project without real options using a 10% required rate of return (r).
  2. Calculate the NPV of Gerhardt’s project with real options using a 10% required rate of return (r).

Solution
The NPV without real options is a probability-weighted cash flow if the product is successfully launched (60%) and a 40% probability that future cash inflows are zero.

  • NPV = 500+(0.6×750)1.10=90.91

Because NPV = –€90.91, Gerhardt should not pursue the project, based on the NPV decision rule.

The NPV with real options equals €8.26, which implies based on the NPV decision rule that Gerhardt should invest in the new production facility if alternative uses in the future are considered.