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ITLS6201 Chap.5 Logistics Investment Appraisal

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Chapter 5 of 10 · ITLS6201

Logistics Investment Appraisal

Logistics infrastructure decisions commit capital against uncertain future freight rates, demand, utilisation, fuel cost and regulation. The taught methods form a progression.

Average rate of return and payback provide accessible screens; net present value discounts every cash flow to time zero; the benefit-cost ratio compares discounted benefit with discounted cost; and the internal rate of return identifies the rate at which NPV reaches zero. No metric removes the need to inspect assumptions.

Sensitivity changes one driver to reveal leverage, while scenarios move related drivers together into coherent futures. Real cash flows require a real discount rate and nominal cash flows require a nominal rate.

In this chapter

What this chapter covers

  • 01

    Average rate of return and payback

  • 02

    Time value of money

  • 03

    Net present value

  • 04

    Benefit-cost ratio

  • 05

    Internal rate of return

  • 06

    Sensitivity, scenarios and rate consistency

Worked example · free

Appraise a warehouse-energy project

Q [5 marks]. A project costs $260,000 now and returns $105,000 at each year-end for three years. It also has a $20,000 residual value in year 3. Use a 10% discount rate to calculate NPV. The five marks used here are not an official university mark allocation.
The downward arrow is the initial logistics investment and the rising arrows are future benefits, all of which must be discounted to the same time-zero basis.The downward arrow is the initial logistics investment and the rising arrows are future benefits, all of which must be discounted to the same time-zero basis. 01234 investment discount future benefits back to time 0
NPV COMPARES ONE DATE
​
The downward arrow is the initial logistics investment and the rising arrows are future benefits, all of which must be discounted to the same time-zero basis.
  • +1Year 1 present value is $105,000 ÷ 1.10 = $95,454.55.
  • +1Year 2 present value is $105,000 ÷ 1.10² = $86,776.86.
  • +1Year 3 present value including residual value is $125,000 ÷ 1.10³ = $93,914.35.
  • +1NPV is $95,454.55 + $86,776.86 + $93,914.35 − $260,000 = $16,145.76.
  • +1Accept narrowly on the base case and test the annual saving because the positive margin is modest.
NPV is approximately $16,146, so the project adds value on the stated assumptions. The margin is small relative to the initial investment, making utilisation and operating savings important sensitivity variables. The residual value belongs inside the final-year cash flow and must be discounted rather than added at face value.
Sia tip — Put every amount on the same date before adding it. A residual value is a future cash flow, so include it in the final year and discount it once.
Glossary

Key terms

Payback period
The time required for project cash inflows to recover the initial outlay, without measuring all later value.
Net present value
The discounted value of future cash flows less the initial investment on a common time-zero basis.
Benefit-cost ratio
The present value of benefits divided by the present value of costs, often used as an efficiency measure.
Internal rate of return
The discount rate that makes the net present value of a conventional cash-flow stream equal to zero.
Sensitivity analysis
A test that changes one input while holding others fixed to show which assumption has the greatest leverage.
FAQ

Logistics Investment Appraisal FAQ

Why is NPV usually stronger than payback?

NPV includes the time value of money and all modelled project cash flows, while payback focuses on recovery speed and can ignore value after its cut-off. Payback still helps when liquidity or exposure duration matters. State which governance question each metric answers rather than treating them as substitutes.

What is the difference between sensitivity and scenario analysis?

Sensitivity changes one driver at a time to reveal leverage. Scenario analysis changes several connected inputs together to describe a coherent future, such as lower volume, higher routing cost and delayed commissioning during a disruption. Use both so realism does not conceal which assumption caused the result.

Why must real and nominal values stay consistent?

Real cash flows exclude general inflation and should be discounted at a real rate. Nominal cash flows include inflation and belong with a nominal rate. Mixing them biases present value because inflation is either counted twice or omitted. Label the money basis before substituting numbers.

Study strategy

Exam move

Draw a cash-flow timeline before touching the formula. Put the initial outlay at time zero, each operating benefit at its actual year-end and the residual value in the final year. Recompute NPV with every line visible and check that a higher discount rate lowers the present value of positive future amounts. Compare the result with payback and the benefit-cost ratio, but explain the distinct question each metric answers.

Build a sensitivity table for utilisation, freight-rate saving, capital cost and discount rate. Then combine related movements into base, upside and downside scenarios. Practise finding a reversal threshold, such as the minimum annual benefit or maximum initial cost that leaves NPV at zero. In prose, never say a positive NPV makes the future certain.

Name the forecast with the greatest leverage and propose a contract, stage gate or monitoring trigger that changes the commitment if the assumption fails. Recalculate the base project with a one-year delay, a ten-percent cost overrun and a lower utilisation rate. Rank these changes by their effect on NPV rather than by how dramatic they sound.

Check the IRR only after confirming the cash-flow pattern is conventional, and avoid using a ratio to rank mutually exclusive projects without examining value created. Finish with a stage gate that specifies which forecast must be observed before the next capital commitment is released. Reconcile all scenarios to the same timing convention before ranking their effects on value.

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