11.4 Use Discounted Cash Flow Models to Make Capital Investment Decisions

3 min readjune 18, 2024

models are essential tools for making smart capital investment decisions. These models help businesses evaluate potential projects by considering the and forecasting future cash flows.

and are two key methods used in these models. They allow companies to compare different investment options and choose the ones that will create the most value for shareholders.

Discounted Cash Flow Models for Capital Investment Decisions

Net present value calculation

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  • calculates the sum of all future cash inflows and outflows discounted to the present value
    • Discounting accounts for the using a or ()
    • NPV formula: NPV=t=0nCFt(1+r)tNPV = \sum_{t=0}^{n} \frac{CF_t}{(1+r)^t}
      • CFtCF_t represents the cash flow at time tt (inflows and outflows)
      • rr is the discount rate, typically the required rate of return or cost of capital (WACC)
      • nn denotes the number of periods (years) in the project's life
  • Interpreting NPV results guides investment decisions
    • Positive NPV indicates the project is expected to increase shareholder value and should be accepted (profitable)
    • Negative NPV suggests the project is expected to decrease shareholder value and should be rejected (unprofitable)
    • Zero NPV means the project is not expected to change shareholder value; decision should be based on other strategic factors (market share)
  • is crucial for accurate NPV calculations

Internal rate of return determination

  • represents the discount rate that makes the NPV of a project equal to zero
    • IRR signifies the expected rate of return on the investment (breakeven point)
    • IRR calculation involves solving for rr in the NPV equation: 0=t=0nCFt(1+r)t0 = \sum_{t=0}^{n} \frac{CF_t}{(1+r)^t}
      • Typically requires trial and error or using financial calculators and spreadsheets (Excel's IRR function)
  • Interpreting IRR results helps evaluate investment opportunities
    • If IRR exceeds the required rate of return or cost of capital, the project should be accepted (earns more than the minimum required return)
    • If IRR is below the required rate of return or cost of capital, the project should be rejected (fails to meet the minimum required return)
    • IRR allows for quick comparison of projects with different initial investments and cash flow patterns (ranking)

Comparison of investment alternatives

  • NPV and IRR can be used to rank mutually exclusive investment alternatives (projects that cannot be undertaken simultaneously)
    • Choose the project with the highest positive NPV (maximizes shareholder value)
    • If NPVs are equal, choose the project with the higher IRR (higher rate of return)
    • Ensures selection of the most profitable project among competing options (Equipment A vs. Equipment B)
  • () offers another metric for comparing investment alternatives
    • PI is the ratio of the present value of future cash inflows to the initial investment: PI=PV(FutureCashInflows)InitialInvestmentPI = \frac{PV(Future Cash Inflows)}{Initial Investment}
    • A PI greater than 1 indicates that the project should be accepted (benefits exceed costs)
    • When comparing mutually exclusive projects, choose the one with the highest PI (most profitable per dollar invested)
    • Useful when is constrained and projects must be ranked based on profitability (limited funds)
  • Limitations of IRR and PI should be considered
    • IRR assumes that cash inflows are reinvested at the IRR, which may not be realistic (reinvestment rate assumption)
      • Overstates the actual return if the reinvestment rate is lower than the IRR (common scenario)
    • PI does not consider the scale of the investment, which may lead to incorrect decisions when comparing projects of different sizes (bias towards smaller projects)
      • A smaller project with a higher PI may be chosen over a larger project with a lower PI but higher NPV (suboptimal decision)

Additional considerations in capital investment decisions

  • Time value of money is a fundamental concept in discounted cash flow analysis
  • processes involve evaluating and selecting long-term investment projects
  • should be factored into investment decisions
  • is essential for understanding potential variability in project outcomes

Key Terms to Review (28)

Capital budgeting: Capital budgeting involves the process of evaluating and selecting long-term investments that are in line with the goal of a firm's wealth maximization. It includes analyzing potential projects or investments to determine their profitability and risk.
Capital Budgeting: Capital budgeting is the process of evaluating and selecting long-term investments or projects that are expected to generate returns over multiple years. It is a crucial aspect of managerial accounting, as it helps organizations make informed decisions about the allocation of their financial resources to maximize profitability and shareholder value.
Cash Flow Forecasting: Cash flow forecasting is the process of estimating the future cash inflows and outflows of a business or project. It is a crucial tool for financial planning and decision-making, as it helps organizations manage their liquidity, make informed capital investment decisions, and ensure financial stability.
Cost of Capital: The cost of capital is the expected rate of return that a business must earn on its investment projects in order to maintain the market value of its stock. It represents the minimum acceptable rate of return that a company must earn on its capital investments to satisfy its shareholders and creditors.
Discount cash flow model: The Discounted Cash Flow (DCF) model is a valuation method used to estimate the value of an investment based on its expected future cash flows. These cash flows are adjusted for the time value of money using a discount rate, typically the cost of capital.
Discount Rate: The discount rate is the interest rate used to determine the present value of future cash flows in a discounted cash flow (DCF) analysis. It represents the required rate of return or the opportunity cost of capital for an investment project. The discount rate is a critical factor in evaluating the viability and profitability of capital investment decisions.
Discounted Cash Flow: Discounted cash flow (DCF) is a valuation method used to estimate the present value of a future stream of cash flows. It is a fundamental concept in capital budgeting and investment decision-making, as it allows for the assessment of the time value of money and the risk associated with projected cash flows.
Internal Rate of Return: The internal rate of return (IRR) is a metric used in capital budgeting to estimate the profitability of potential investments. It is the discount rate at which the net present value of all cash flows from a project or investment equals zero, representing the project's annualized effective compounded return rate. IRR is a widely used tool in making capital investment decisions and is closely tied to the concepts of time value of money and discounted cash flow analysis.
Internal rate of return (IRR): Internal Rate of Return (IRR) is the discount rate that makes the net present value (NPV) of all cash flows from a project equal to zero. It is used to evaluate the profitability of potential investments.
Internal Rate of Return (IRR): The internal rate of return (IRR) is a metric used in capital budgeting to estimate the profitability of potential investments. It is the discount rate that makes the net present value (NPV) of all cash flows from a particular project equal to zero. In other words, it is the rate of return that would make the present value of future cash inflows equal to the initial investment.
Minimum required rate of return: The minimum required rate of return is the lowest acceptable return on an investment or project that a manager or investor is willing to accept. It serves as a benchmark for evaluating the viability and performance of investments or business segments.
Net Present Value: Net present value (NPV) is a financial metric used to evaluate the profitability and viability of a project or investment by discounting its future cash flows back to their present value. It represents the difference between the present value of an investment's expected cash inflows and the present value of its expected cash outflows, providing a measure of the project's overall value and potential return.
Net present value (NPV): Net present value (NPV) is a financial metric that evaluates the profitability of an investment by calculating the difference between the present value of cash inflows and outflows over time. It considers the time value of money to determine whether a project will yield a positive return.
Net Present Value (NPV): Net Present Value (NPV) is a financial metric used to evaluate the profitability of a potential investment or project by discounting its future cash flows to their present value. It is a time value-based method that helps decision-makers determine whether an investment is worth pursuing based on the project's expected return relative to its initial cost.
Opportunity Cost: Opportunity cost is the value of the next best alternative that must be forgone in order to pursue a certain action or decision. It represents the trade-off involved in choosing one option over another and is a fundamental concept in economics and managerial decision-making.
Opportunity costs: Opportunity costs represent the potential benefits or profits an individual, investor, or business misses out on when choosing one alternative over another. It is a crucial concept in decision-making, helping to evaluate the relative profitability of different options.
Payback Period: The payback period is a capital budgeting method used to evaluate the time it takes for a project or investment to recoup its initial cost through the generated cash inflows. It provides a simple and straightforward way to assess the risk and liquidity of a capital investment decision.
PI: PI, or the Profitability Index, is a metric used in capital budgeting and investment decision-making to evaluate the profitability and feasibility of a potential investment. It is a ratio that compares the present value of a project's expected future cash inflows to the initial capital investment required, providing a measure of the investment's efficiency and return potential.
Profitability Index: The profitability index, also known as the benefit-cost ratio, is a metric used in capital budgeting to analyze the profitability of a potential investment. It measures the ratio of the present value of a project's expected future cash inflows to the present value of its initial cash outflow, providing a measure of the investment's efficiency and potential return.
Required Rate of Return: The required rate of return is the minimum rate of return an investor or company expects to receive on an investment, given the risk associated with that investment. It is a critical factor in evaluating capital investment decisions and assessing the performance of operating segments or projects.
Risk Assessment: Risk assessment is the process of identifying, analyzing, and evaluating potential risks associated with a particular decision or course of action. It is a critical component in the decision-making process, as it helps organizations and individuals understand and manage the potential consequences of their choices.
Scenario Analysis: Scenario analysis is a strategic planning technique used to make informed decisions by exploring the potential outcomes of different courses of action. It involves creating and analyzing multiple plausible future scenarios to understand the potential impacts and risks associated with various investment or business decisions.
Sensitivity analysis: Sensitivity analysis evaluates how different values of an independent variable affect a particular dependent variable under a given set of assumptions. It's used to predict the outcome of a decision given a certain range of variables in managerial accounting.
Sensitivity Analysis: Sensitivity analysis is a technique used to assess the impact of changes in one or more input variables on the output or outcome of a model or decision. It helps understand how sensitive the results are to variations in the assumptions or inputs, allowing decision-makers to identify the most critical factors and make informed choices.
Time value of money: Time value of money (TVM) is the concept that money available now is worth more than the same amount in the future due to its potential earning capacity. This principle underpins many capital budgeting decisions and financial calculations.
Time Value of Money: The time value of money is a fundamental concept in finance that recognizes the principle that money available at the present time is worth more than the same amount of money available in the future. This is due to the potential to invest and earn a return on the present money, as well as the effects of inflation over time.
Weighted average cost of capital (WACC): Weighted Average Cost of Capital (WACC) is the average rate of return a company is expected to pay its security holders to finance its assets. It reflects the cost of equity and debt, weighted by their respective proportions in the company's capital structure.
Weighted Average Cost of Capital (WACC): The weighted average cost of capital (WACC) is a financial metric that represents the blended cost of a company's various capital sources, including debt and equity. It is a critical factor in evaluating capital investment decisions and assessing the performance of operating segments or projects.
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