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ACCT2019 Chap.10 Capital Budgeting and Long Term Decisions

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Chapter 10 of 10 · ACCT2019

Capital Budgeting and Long Term Decisions

Capital budgeting compares long-term project cash flows on a common date. Net present value discounts relevant after-tax inflows and outflows at the required return and subtracts the initial investment. Internal rate of return, payback and accrual accounting rate of return provide different lenses but carry different limitations.

Forecast design is central: working capital, disposal value, taxes, opportunity cost, timing and implementation must be identified before a precise calculation can support a decision. NPV measures expected value added at the required return, while IRR expresses the break-even discount rate. Simple payback highlights recovery speed but ignores time value and later flows; AARR uses accounting income rather than project cash.

A timeline keeps the initial outlay, operating flows and terminal effects in the correct periods. Sensitivity analysis should focus on the uncertain driver most capable of changing the sign, and post-audit should support forecast learning as well as accountability. Mutually exclusive projects require attention to scale and timing when NPV and IRR rankings conflict.

The final recommendation should name the required return, the key forecast assumption and the downside case that would reverse acceptance. Implementation review should compare realised timing and cash flows with the approved forecast, separating learning about the model from changes outside managerial control.

In this chapter

What this chapter covers

  • 01

    Capital-budgeting process

  • 02

    Net present value

  • 03

    Internal rate of return

  • 04

    Payback method

  • 05

    Accrual accounting return

  • 06

    Relevant project cash flows and post-audit

Worked example · free

Discounting uneven project cash flows

Q [5 marks]. A project costs $100,000 now and returns $42,000, $39,000 and $36,000 at the next three year-ends. At 9%, use factors 0.9174, 0.8417 and 0.7722. Find NPV. The five marks belong to this AskSia-authored drill and are not taken from an examination rubric. The mark allocation beside this NPV problem is not an official University assessment scheme.
A project cash-flow timeline.A project cash-flow timeline. The initial outflow occurs at time zero and future operating inflows are discounted back before they are compared with the investment.Time 0Year 1Year 2Year 3Year 4InvestmentDiscount future cash flows to time 0
A project cash-flow timeline. The initial outflow occurs at time zero and future operating inflows are discounted back before they are compared with the investment.
  • +1AskSia practice weighting for these fresh figures. Year 1 present value is $42,000 x 0.9174 = $38,530.80.
  • +1Year 2 present value is $39,000 x 0.8417 = $32,826.30.
  • +1Year 3 present value is $36,000 x 0.7722 = $27,799.20.
  • +1Total present value is $99,156.30 and NPV is -$843.70.
  • +1Reject on the stated cash flows and required return, subject to checking omitted terminal or working-capital effects.
NPV is negative $843.70, so the project does not clear the 9% required return on the stated forecast. A missing terminal cash flow could change that narrow result and must be investigated rather than assumed.
Sia tip — Place every cash flow on a timeline and discount it for the correct number of periods. Do not average uneven flows before discounting.
Glossary

Key terms

Net Present Value
Present value of relevant project cash flows after the initial investment.
Required Return
The rate used to discount project cash flows for risk and time value.
Internal Rate
The discount rate at which a project has zero net present value.
Payback Period
Time required for undiscounted project inflows to recover the initial investment.
Post-audit
Comparison of project forecasts with realised results to support accountability and learning.
FAQ

Capital Budgeting and Long Term Decisions FAQ

Why is NPV usually preferred?

NPV recognises time value, incorporates relevant project cash flows and measures expected value added at the required return. It also handles project scale directly, which helps when mutually exclusive choices produce conflicting percentage returns.

What does payback leave out?

Simple payback ignores time value and cash flows after the recovery cutoff. It can highlight liquidity or exposure, but it should not replace NPV when later benefits, project life and value creation matter.

Which project cash flows are easy to miss?

Working-capital investment and later recovery, disposal proceeds, tax effects, opportunity cost, incremental support cost and implementation expenditure are common omissions. Sunk research and unchanged allocated overhead should not enter simply because they appear in accounting records.

Study strategy

Exam move

Draw a timeline for every project and label time zero, operating periods and the terminal date. List relevant cash flows before selecting a method, including working capital, tax and disposal effects. Calculate NPV with each flow discounted separately; then use IRR, payback or AARR only when the question asks for the additional perspective.

Compare methods in words: NPV measures value at a required return, IRR expresses a break-even rate, payback emphasises recovery speed and AARR uses accounting income. For mutually exclusive projects, check scale and timing when rankings conflict.

End with a sensitivity question about the forecast variable most capable of changing the decision, and explain how a post-audit could improve later estimates without punishing managers for uncontrollable events. Build three timelines: an annuity, uneven operating flows and a project with working-capital recovery plus disposal proceeds. Discount every line separately and reconcile the present values to NPV.

Then calculate simple payback and explain which later flows it ignores. Use two mutually exclusive projects of different scale to show why the larger IRR need not produce the larger value. Change the required return and predict which distant cash flows will be most sensitive.

Before recommending approval, write a cash-flow audit that excludes sunk research, includes opportunity cost and checks whether financing has already been reflected in the discount rate. The final decision should state the result, its assumptions and the forecast variable most likely to reverse it.

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