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Money · Guided lesson

Test immediate and delayed financial value

About 9 minutes · 3 reading + 6 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
See this course’s project requirements

An original financial decision-case comparison and rule test covering anchored prices, sunk costs, recurring charges and delayed spending with a prewritten decision rule.

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 controlled price-anchor comparison and choice explanation.
  • A sunk/avoidable cost decision table.
  • A twelve-month price comparison and crossover calculation.
  • A dated value-comparison record and access-constraint note.
  • A framed-choice comparison with explicit design limitations.
  • A complete financial decision-case comparison and rule-retest log.

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. Fictional choice: $100 usable today or $110 usable one year later. Practice comparison rate 5%/year; both amounts certain only within this invented case.

The idea

A time comparison needs both money timing and the actual option conditions; a hypothetical rate is a tool, not a reason to borrow.

Follow along

Test immediate and delayed financial value — worked practice

A time comparison needs both money timing and the actual option conditions; a hypothetical rate is a tool, not a reason to borrow.

Use paper or a local table; label all amounts as fictional USD unless the case names another unit. Fictional choice: $100 usable today or $110 usable one year later. Practice comparison rate 5%/year; both amounts certain only within this invented case.

Certain fictional timing choices

Paste at A1.

AOptionBUSDCReceipt time years
Immediate1000
Delayed1101

Copy as plain text

Practice comparison rule

Paste at A5.

AInputBValue
Comparison rate percent per year5
Real investment guaranteeNone

Copy as plain text
  1. 1. Step 1: Record the alternative amounts and dates

    Record the alternative amounts and dates.

    You should see: $100 today versus $110 in one year.

    A time comparison needs both money timing and the actual option conditions; a hypothetical rate is a tool, not a reason to borrow.

  2. 2. Step 2: Grow today’s amount at the supplied rate

    Grow today’s amount at the supplied rate.

    You should see: 100×1.05=$105 after a year.

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

  3. 3. Step 3: Discount the delayed amount to today

    Discount the delayed amount to today.

    You should see: 110/1.05≈$104.76.

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

  4. 4. Step 4: State the limited comparison

    State the limited comparison.

    You should see: Delayed amount is financially larger under this model; immediate essential needs or actual risk could change the choice.

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

Now change one thing

Delayed amount is $105 under the same rate. Present value to two decimals?

Your work

What to finish

A dated value-comparison record and access-constraint note.

Common mistake

Watch for this

Presenting a classroom rate as a guaranteed investment or borrowing opportunity.

How can I tell I understand it?

Compare immediate and delayed amounts with a stated hypothetical time-value 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$120 due in one year with practice discount rate 20%: present value?
2A person needs cash for essentials today. Does the higher delayed value automatically settle the choice?
3What must be labeled about the 5% rate in this exercise?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
4
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

Tools and templates

Tools open in a new tab so you can keep your place here.

Sources and further reading

Explore the references behind this lesson.

Federal Reserve Education — Opportunity Cost
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: Official resource page and its readable overview/transcript inspected; no external LMS lesson or media playback is claimed.

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

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