Capital Budgeting
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Capital budgeting is the process of evaluating and selecting long-term investments—projects or assets whose benefits span several years, such as new equipment, plants, or product lines. Because these commit large sums for long periods, they're appraised with techniques like payback, NPV, and IRR to ensure they add value.
Real-world example
The company uses capital budgeting to decide whether to invest $2m in a new production line.
Types of Budgets
Cash Budgeting
Capital Budgeting
The payback period is the time taken for a project's cumulative cash inflows to recover its initial investment. For even cash flows, payback = initial investment / annual cash inflow; for uneven flows, accumulate inflows until they equal the outlay. It's simple and focuses on liquidity/risk but ignores cash flows after payback and the time value of money.
Invest 100,000; inflow 25,000/yr -> payback = 100,000/25,000 = 4 years.
Real-world example
A project recovering its cost in 3 years is preferred over one taking 5, under a payback rule.
Cash Budgeting
Capital Budgeting
Capital Budgeting
The time value of money is the principle that a sum today is worth more than the same sum in the future because it can be invested to earn returns (and due to inflation and risk). Capital budgeting spans years, so future cash flows must be discounted to present value to compare them fairly—underpinning NPV and IRR.
PV = Future cash flow / (1 + r)^n.
Real-world example
$1,000 received in 3 years is discounted to its lower present value before comparing to today's outlay.
Capital Budgeting
Capital Budgeting
Cash Budgeting
NPV is the sum of a project's discounted future cash flows minus the initial investment, using the required rate of return (cost of capital) as the discount rate. A positive NPV means the project earns more than the required return and adds value (accept); a negative NPV destroys value (reject). NPV is the theoretically preferred appraisal method.
NPV = -Investment + Σ [Cash flow_t / (1+r)^t].
Positive NPV -> accept.
Real-world example
A project with a +$150k NPV at the 10% cost of capital is accepted because it creates value.
Capital Budgeting
Capital Budgeting
The Budgeting Process
The IRR is the discount rate at which a project's NPV equals zero—effectively the project's own rate of return. The decision rule: accept if IRR exceeds the required rate of return (cost of capital). IRR is intuitive as a percentage but can mislead with non-conventional cash flows (multiple IRRs) or when ranking mutually exclusive projects.
IRR is r where NPV = 0. Accept if IRR > cost of capital.
Real-world example
A project with a 15% IRR is accepted when the cost of capital is 10%.
Capital Budgeting
Capital Budgeting
The Budgeting Process
For accept/reject on a single project, NPV and IRR usually agree. But for ranking mutually exclusive projects they can conflict due to differences in scale or cash-flow timing, and because IRR assumes reinvestment at the IRR while NPV assumes reinvestment at the cost of capital. When they conflict, NPV is preferred because it measures absolute value added.
Real-world example
A large project has lower IRR but higher NPV than a small one; NPV guides the choice to maximize value.
Capital Budgeting
Capital Budgeting
The Budgeting Process
ARR (return on capital employed) measures a project's average accounting profit as a percentage of the investment: ARR = average annual profit / average (or initial) investment x 100. It's simple and uses familiar profit figures, but ignores the time value of money and uses profit rather than cash flow.
ARR = Average annual profit / Average investment x 100.
Real-world example
A project averaging $20k profit on $100k investment shows a 20% ARR.
Capital Budgeting
Capital Budgeting
The Budgeting Process
Discounted payback is the time for a project's discounted cash inflows to recover the initial investment. It improves on simple payback by accounting for the time value of money, but still ignores cash flows after the payback point. It shows how long capital is at risk in present-value terms.
Real-world example
Using discounted inflows, a project's payback extends from 3 to about 4 years once discounting is applied.
Capital Budgeting
Cash Budgeting
Capital Budgeting
Only incremental, future cash flows caused by the decision are relevant: the initial outlay, operating cash flows (incremental revenues less cash costs), working-capital changes, and terminal/residual values. Sunk costs (already incurred) are ignored, and opportunity costs are included. Depreciation is not a cash flow, but its tax effect (tax shield) is.
Real-world example
A market-research cost already spent (sunk) is excluded, while the tax saving from depreciation is included.
Cash Budgeting
Capital Budgeting
Capital Budgeting
The cost of capital is the return required by the providers of finance (debt and equity), often measured as the weighted average cost of capital (WACC). It's used as the discount rate/hurdle rate in NPV and the benchmark for IRR because a project must earn at least this return to satisfy investors and add value.
WACC = (E/V)xKe + (D/V)xKd(1-tax).
Real-world example
The firm discounts project cash flows at its 9% WACC and rejects projects returning less.
Capital Budgeting
Capital Budgeting
The Budgeting Process
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