Capital Rationing: CR: Balancing Risk and Return: CR Considerations

1. What is capital rationing and why is it important?

capital rationing is a process of selecting the most profitable projects from a pool of investment opportunities, subject to a budget constraint. It is important because it helps managers to allocate scarce resources efficiently and maximize the value of the firm. However, capital rationing also involves some trade-offs and challenges that need to be considered. Some of these are:

- Risk and return: Capital rationing requires managers to compare the expected returns and risks of different projects, and choose the ones that offer the highest return per unit of risk. This can be done using various methods, such as net present value (NPV), internal rate of return (IRR), profitability index (PI), or capital asset pricing model (CAPM). However, these methods may not always capture the true risk and return of the projects, especially when there are uncertainties, externalities, or intangible benefits involved. For example, a project that has a high NPV but also a high environmental impact may not be desirable from a social or ethical perspective. Similarly, a project that has a low IRR but also a high strategic value may not be reflected in the conventional methods. Therefore, managers need to use their judgment and experience to adjust the risk and return estimates of the projects, and consider other factors that may affect the value of the firm.

- capital rationing constraints: Capital rationing implies that there is a limit on the amount of funds available for investment, which may be due to internal or external factors. Internal factors include the self-imposed budget of the firm, the dividend policy, the retained earnings, or the debt capacity. External factors include the market conditions, the availability of credit, the cost of capital, or the regulatory environment. These constraints may change over time, and affect the feasibility and desirability of the projects. For example, a project that is viable under a low interest rate may become unviable under a high interest rate. Similarly, a project that is attractive under a favorable market may become unattractive under a unfavorable market. Therefore, managers need to monitor the capital rationing constraints, and revise their project selection accordingly.

- capital rationing decisions: Capital rationing involves making decisions about which projects to accept and which ones to reject, based on the criteria of maximizing the value of the firm. However, this may not be a simple or straightforward task, as there may be conflicts or trade-offs between different projects, or between different stakeholders. For example, a project that is optimal for the shareholders may not be optimal for the managers, the employees, or the customers. Similarly, a project that is optimal for the short-term may not be optimal for the long-term, or vice versa. Therefore, managers need to balance the interests and expectations of different parties, and communicate the rationale and benefits of their decisions clearly and effectively.

2. Hard vs soft, internal vs external, and single-period vs multi-period

Capital rationing is a process of selecting the most profitable projects among a set of available investment opportunities, subject to a budget constraint. It is often necessary because firms have limited resources and cannot finance all the positive net present value (NPV) projects. Capital rationing can be classified into different types based on the source and nature of the budget constraint. These are:

1. Hard vs soft capital rationing: Hard capital rationing occurs when the budget constraint is imposed by external factors, such as the availability of funds in the capital market, the cost of capital, or the credit rating of the firm. soft capital rationing occurs when the budget constraint is imposed by internal factors, such as the management's preference, the dividend policy, or the self-imposed financial discipline of the firm. For example, a firm may face hard capital rationing if it has a low credit rating and cannot borrow more funds from the market. A firm may face soft capital rationing if it has a high dividend payout ratio and wants to maintain a stable dividend stream for its shareholders.

2. internal vs external capital rationing: Internal capital rationing refers to the situation where the budget constraint is determined by the firm itself, based on its own objectives and policies. External capital rationing refers to the situation where the budget constraint is determined by the external market conditions, such as the interest rate, the risk premium, or the demand for the firm's securities. For example, a firm may practice internal capital rationing if it sets a target debt-to-equity ratio and limits its borrowing accordingly. A firm may face external capital rationing if it operates in a highly competitive market and faces a high cost of capital.

3. Single-period vs multi-period capital rationing: Single-period capital rationing assumes that the budget constraint applies only to the current period and does not affect the future periods. Multi-period capital rationing assumes that the budget constraint applies to the current period as well as the future periods and affects the intertemporal allocation of resources. For example, a firm may face single-period capital rationing if it has a temporary cash flow shortage and needs to prioritize its short-term projects. A firm may face multi-period capital rationing if it has a long-term strategic plan and needs to balance its short-term and long-term projects.

Hard vs soft, internal vs external, and single period vs multi period - Capital Rationing: CR:  Balancing Risk and Return: CR Considerations

Hard vs soft, internal vs external, and single period vs multi period - Capital Rationing: CR: Balancing Risk and Return: CR Considerations

3. Profitability index, internal rate of return, net present value, and linear programming

Capital rationing is the process of allocating limited funds among competing investment projects in order to maximize the value of the firm. There are various methods of capital rationing that can be used to rank and select the projects that have the highest return per unit of capital. Some of the common methods are:

1. Profitability index (PI): This is the ratio of the present value of the future cash flows of a project to its initial investment. It measures the amount of value created per dollar invested. A project with a PI greater than 1 is acceptable, and the higher the PI, the more desirable the project. For example, if a project requires an initial investment of $10,000 and has a present value of future cash flows of $12,000, then its PI is 1.2, which means that it creates $1.2 of value for every dollar invested.

2. Internal rate of return (IRR): This is the discount rate that makes the net present value of a project equal to zero. It represents the annualized return of the project. A project with an IRR greater than the required rate of return (or the cost of capital) is acceptable, and the higher the IRR, the more desirable the project. For example, if a project requires an initial investment of $10,000 and generates cash flows of $3,000, $4,000, and $5,000 in the next three years, then its IRR is 20.08%, which means that it earns 20.08% per year on the invested capital.

3. Net present value (NPV): This is the difference between the present value of the future cash flows of a project and its initial investment. It measures the absolute amount of value created by the project. A project with a positive NPV is acceptable, and the higher the NPV, the more desirable the project. For example, if a project requires an initial investment of $10,000 and has a present value of future cash flows of $12,000, then its NPV is $2,000, which means that it adds $2,000 to the value of the firm.

4. Linear programming (LP): This is a mathematical technique that can be used to optimize the allocation of limited resources among competing activities. It involves defining an objective function (such as maximizing the total NPV of the projects) and a set of constraints (such as the budget limit, the minimum or maximum number of projects, the interdependence of projects, etc.). Then, using a software program or a graphical method, the optimal solution can be found that satisfies the objective function and the constraints. For example, suppose a firm has a budget of $100,000 and can invest in four projects: A, B, C, and D, with the following data:

| Project | Initial Investment | NPV |

| A | $40,000 | $50,000|

| B | $30,000 | $40,000|

| C | $20,000 | $30,000|

| D | $10,000 | $15,000|

Using LP, the firm can find the optimal combination of projects that maximizes the total NPV, subject to the budget constraint. The solution is to invest in projects A, B, and C, with a total NPV of $120,000 and a total investment of $90,000.

Profitability index, internal rate of return, net present value, and linear programming - Capital Rationing: CR:  Balancing Risk and Return: CR Considerations

Profitability index, internal rate of return, net present value, and linear programming - Capital Rationing: CR: Balancing Risk and Return: CR Considerations

4. How to apply capital rationing effectively and overcome its drawbacks?

capital rationing is a strategic decision-making process that aims to maximize the value of a firm by selecting the most profitable projects within a limited budget. However, capital rationing also has some drawbacks that need to be addressed and overcome. In this section, we will discuss how to apply capital rationing effectively and how to mitigate its potential disadvantages.

One of the main challenges of capital rationing is to determine the optimal cut-off point for accepting or rejecting projects. This requires a careful evaluation of the expected return and risk of each project, as well as the opportunity cost of capital. There are several methods that can be used to rank and select projects under capital rationing, such as:

- Net present value (NPV): This method calculates the present value of the future cash flows of a project, minus its initial investment. NPV reflects the incremental value that a project adds to the firm, and it is consistent with the goal of maximizing shareholder wealth. However, NPV does not consider the size or the timing of the cash flows, which may affect the ranking of projects.

- Profitability index (PI): This method divides the NPV of a project by its initial investment, and it measures the return per unit of capital invested. PI is useful for comparing projects with different sizes and initial outlays, and it also incorporates the time value of money. However, PI may not rank projects correctly when they have different lives or different patterns of cash flows.

- Internal rate of return (IRR): This method calculates the discount rate that makes the npv of a project equal to zero. IRR represents the annualized return of a project, and it is easy to understand and communicate. However, IRR may not exist or may not be unique for some projects, and it may not rank projects correctly when they have different scales or different signs of cash flows.

- modified internal rate of return (MIRR): This method modifies the IRR by assuming that the intermediate cash flows of a project are reinvested at the cost of capital, rather than at the IRR. MIRR eliminates the problems of multiple or non-existent IRRs, and it provides a more realistic measure of the return of a project. However, MIRR may still not rank projects correctly when they have different lives or different timing of cash flows.

To apply capital rationing effectively, a firm should use a combination of these methods, and also consider other factors such as the strategic importance, the interdependence, and the flexibility of the projects. For example, a firm may use NPV to screen out unprofitable projects, then use PI or MIRR to rank the remaining projects, and finally use irr or payback period to break ties or to adjust for risk or liquidity.

Another challenge of capital rationing is to cope with the potential loss of value that may result from rejecting positive NPV projects. This may happen when the firm faces external constraints, such as market imperfections, asymmetric information, or agency problems, that prevent it from raising more capital at a reasonable cost. To overcome this drawback, a firm should try to relax or remove the external constraints, by improving its financial performance, enhancing its reputation, or aligning its interests with those of its stakeholders. Alternatively, a firm may use some techniques to increase its capital budget, such as:

- Divesting or selling unprofitable or non-core assets: This can generate cash inflows that can be used to fund more profitable projects, and also improve the efficiency and focus of the firm.

- Leasing or outsourcing capital-intensive assets or activities: This can reduce the initial investment and the fixed costs of a project, and also transfer some of the risk and maintenance to the lessor or the contractor.

- Using hybrid or innovative financing instruments: This can lower the cost of capital and increase the financial flexibility of the firm, by combining the features of debt and equity, such as convertible bonds, warrants, or preferred stocks.

By applying these techniques, a firm can mitigate the negative effects of capital rationing, and increase its chances of capturing the value of positive NPV projects. However, these techniques also have some limitations and trade-offs, such as higher transaction costs, lower control, or higher financial risk, that need to be carefully weighed and managed.

Capital rationing is a complex and dynamic process that requires a comprehensive and balanced approach. A firm should use multiple criteria and methods to rank and select projects, and also seek to expand or optimize its capital budget by using various sources and strategies of financing. By doing so, a firm can achieve a better balance between risk and return, and create more value for its shareholders and stakeholders.

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