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Money · Guided lesson

Discount timed public costs and benefits

About 15 minutes · 3 reading + 12 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
See this course’s project requirements

A financial appraisal of a fictional community investment with counterfactual, incremental costs, discounted values, distribution and sensitivity.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • A baseline/project comparison with incremental service and scope.
  • An incremental resource-cost and transfer-incidence table.
  • A dated present-value worksheet with real/nominal consistency.
  • A deduplicated benefit inventory with valuation limits.
  • A base/low net-value table and distribution note.
  • A completed fictional public-spending financial appraisal.

Review and revise

Use these criteria to check your work and choose what to improve.

  • All supplied records reconcile and the decision uses the named case rules.
  • Calculations show units, intermediate values and a second check.
  • Changed-input practice revises the affected result and identifies uncertainty.
  • The final project combines six lesson records, separates fictional assumptions from current rules, and states a supported next step.
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Before you begin

The idea in everyday life

This is an original fictional practice case. No account, payment, personal record or outside participation is required. Project cost $1,000 today; benefit $1,210 at end of year 2. Fictional real discount rate 10%/year; values are all in today’s purchasing power; no other flows.

The idea

Put future amounts into a common base date using one consistent rate and unit basis; a practice discount rate is not official policy.

Follow along

Discount timed public costs and benefits — worked practice

Put future amounts into a common base date using one consistent rate and unit basis; a practice discount rate is not official policy.

Use paper or a local table; label all amounts as fictional USD unless the case names another unit. Project cost $1,000 today; benefit $1,210 at end of year 2. Fictional real discount rate 10%/year; values are all in today’s purchasing power; no other flows.

Timed real cash-equivalent flows

Paste at A1.

AFlowBReal USD today purchasing powerCYear
Resource cost-10000
Benefit12102

Copy as plain text

Explicit hypothetical discount assumption

Paste at A5.

AInputBValue
Real annual discount percent10
Current mandatory public rateNot claimed

Copy as plain text
  1. 1. Step 1: Write the base date and compatible real units

    Write the base date and compatible real units.

    You should see: Year 0, real dollars, practice 10% real rate.

    Put future amounts into a common base date using one consistent rate and unit basis; a practice discount rate is not official policy.

  2. 2. Step 2: Calculate year 2 discount factor

    Calculate year 2 discount factor.

    You should see: 1/(1.1²)=1/1.21.

    Keep this intermediate result so the final decision can be checked.

  3. 3. Step 3: Calculate present benefit

    Calculate present benefit.

    You should see: 1210/1.21=$1,000.

    Keep this intermediate result so the final decision can be checked.

  4. 4. Step 4: Subtract present cost

    Subtract present cost.

    You should see: Net present value $0 in this limited scenario; no agency-required rate is implied.

    Keep this intermediate result so the final decision can be checked.

Now change one thing

Year 2 benefit increases to $1,331 at the same practice rate. Present benefit?

Your work

What to finish

A dated present-value worksheet with real/nominal consistency.

Common mistake

Watch for this

Calling the exercise’s10% rate an official grant or agency requirement.

How can I tell I understand it?

Calculate a discounted public-benefit present value under an explicit fictional rate on the supplied changed case while preserving the stated rule and checking the final record.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1$1,100 end-year 1 benefit at practice 10% discount: present value?
2Costs use a high rate while benefits use a lower rate without justification. What is the issue?
3Nominal future dollars include inflation but the discount rate is real. What is needed?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
3
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

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Tools, templates, and lesson sources

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Sources and further reading

Explore the references behind this lesson.

EPA — Guidelines for Preparing Economic Analyses, 3rd Edition
Source & access notes · checked 2026-10-01

Official page opened/read during Money expansion authoring; checked the relevant concept and access state. These sources do not establish funding eligibility.

Access: Readable official webpage inspected with the web reader on 2026-10-01. No interactive-tool operation is claimed.

Reuse: Original fictional practice, questions and calculations; paraphrased concepts with a source link. No source exercise copied.

EPA — Guidelines for Preparing Economic Analyses: Discounting Future Benefits and Costs (2010 archived chapter)
Source & access notes · checked 2026-10-01

Official page opened/read during Money expansion authoring; checked the relevant concept and access state. These sources do not establish funding eligibility.

Access: Readable archived EPA Chapter 6 PDF inspected for the present-value method only; this is not current required discount-rate guidance.

Reuse: Original fictional practice, questions and calculations; paraphrased concepts with a source link. No source exercise copied.

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