Compare recurring and one-time prices on the same horizon
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.
Want more background?
The idea in everyday life
This is an original fictional practice case. No account, payment, personal record or outside participation is required. Same fictional offline practice tool access for 12 months: subscription $8/month; one-time version $72, no additional fees. Ignore upgrade differences, tax and resale.
A small recurring charge can exceed a larger one-time price; compare a complete specified period and equivalent access.
Compare recurring and one-time prices on the same horizon — worked practice
A small recurring charge can exceed a larger one-time price; compare a complete specified period and equivalent access.
Use paper or a local table; label all amounts as fictional USD unless the case names another unit. Same fictional offline practice tool access for 12 months: subscription $8/month; one-time version $72, no additional fees. Ignore upgrade differences, tax and resale.
Common-horizon tool pricing
Paste at A1.
| AOption | BMonthly USD | COne-time USD | DComparison months |
|---|---|---|---|
| Subscription | 8 | 0 | 12 |
| One-time version | 0 | 72 | 12 |
Copy as plain text
1. Step 1: Fix the comparison horizon at twelve months
Fix the comparison horizon at twelve months.
You should see: Both must provide the same required access during that horizon.
A small recurring charge can exceed a larger one-time price; compare a complete specified period and equivalent access.
2. Step 2: Compute subscription cost
Compute subscription cost.
You should see: 12×8=$96.
Keep this intermediate result so the final decision can be checked.
3. Step 3: Compare one-time cost
Compare one-time cost.
You should see: $72; subscription costs $24 more.
Keep this intermediate result so the final decision can be checked.
4. Step 4: Calculate simple recurring-price crossover
Calculate simple recurring-price crossover.
You should see: 72/8=9 months; at month 9 costs are equal under supplied terms.
Keep this intermediate result so the final decision can be checked.
What to finish
A twelve-month price comparison and crossover calculation.
Watch for this
Comparing one monthly charge directly with a full one-time price.
How can I tell I understand it?
Compare equivalent recurring and one-time charges over a fixed horizon on the supplied changed case while preserving the stated rule and checking the final record.
Quick knowledge check
Answer all 3 questions. Get at least 2 right and the lesson completes automatically.
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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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Sources and further reading
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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.
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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