Current-value decision model
Fund the ticket deadline before the rest of the trip
Unlike a single-goal savings model, this page solves two sequential obligations. Current cash and early deposits fund tickets first; only any surplus carries into the post-ticket travel phase.
| Funding or payment line | Entered or solved amount | Future-value factor | Deadline value |
|---|
Detailed calculation process
Formula, substitutions, intermediate results, and reconciliation
p1 = max(0,T-C(1+r)^n1)/AF(r,n1); p2 = max(0,L-S(1+r)^(n2-n1))/AF(r,n2-n1)
The ticket phase is solved first. Any surplus S after ticket purchase carries into the later phase; the trip phase then funds L over the remaining months.
Five-step deadline plan
Sequence cash by when it must be paid
- Capture the complete ticket checkout amount and its on-sale deadline.
- Build the later travel, lodging, food, and gear target separately.
- Enter only cash dedicated to the festival before tickets are bought.
- Count month-end deposits to each deadline and use a conservative yield.
- Compare the planned saving with phase one, then automate the separately solved phase-two amount after purchase.
Five deadline fundamentals
Why one average deposit can mislead
Ticket obligation
Admission can become payable months before travel expenses.
Phase-one cash
Current savings and early deposits are consumed by the ticket purchase.
Carry surplus
Only money remaining after tickets can grow into the later phase.
Remaining periods
Post-ticket deposits use event months minus ticket months.
Peak requirement
The higher phase deposit identifies the most demanding part of the schedule.
Symbols and defaults
Audit both deadline equations
| Symbol | Meaning | Default | Unit |
|---|---|---|---|
| T | Ticket deadline payment | 720 | USD |
| L | Later trip payment | 1,680 | USD |
| C | Current festival fund | 250 | USD today |
| n1,n2 | Ticket and event months | 3, 9 | months |
| r | Monthly yield | 0.03/12 | decimal/month |
| p1,p2 | Phase deposits | solved | USD/month |
The default run first reconciles cash plus three deposits to $720, deducts tickets, then reconciles any surplus plus six later deposits to $1,680.
Three savings lenses
Protect the early obligation
Presale compression
A shorter ticket window can make phase one the peak even when travel costs are larger.
Refund risk
Nonrefundable ticket cash is no longer liquid for travel or emergencies after purchase.
Price revision
Later transport and lodging quotes should update only the second target unless ticket cost also changes.
Two deadline cases
Early presale and ticket already funded
Three-month presale
A traveler uses the higher first-phase amount until ticket checkout, then switches the automatic transfer to the solved trip phase.
Cash covers tickets
Current savings grow beyond admission, so phase-one deposits fall to zero and the surplus is explicitly carried into travel funding.
Savings glossary
Six two-stage terms
- Ticket phase
- Saving periods before admission payment.
- Trip phase
- Periods after ticket purchase and before the event.
- Carry surplus
- Ticket-phase resources remaining after admission.
- Deadline value
- Cash available when a payment is due.
- Peak deposit
- The larger of the two solved monthly requirements.
- Ordinary-annuity factor
- Future-value multiplier for period-end deposits.
Deadline questions
Frequently asked questions
Why are tickets and later costs separate?
Tickets often become payable earlier, so averaging both goals over the full horizon can leave the first deadline unfunded.
What if current cash already covers tickets?
The first required deposit becomes zero and any ticket-date surplus carries into the later trip phase.
Why must the event month be later?
The sequential model needs at least one post-ticket saving period; equal deadlines should be handled as one combined goal.
Can I use the same automatic transfer for both phases?
Yes only if it is at least the requirement for the active phase; the displayed peak shows the higher obligation.
What happens at zero yield?
Each annuity factor becomes its exact number of deposits, so the model remains defined without interest.
Should ticket resale value reduce the goal?
No. Resale timing, price, fees, and collectability are uncertain and should not fund the purchase decision.
Evidence and limits
The schedule assumes known dates
- Presales, payment plans, dynamic ticket prices, refunds, and resale are not forecast.
- Deposits occur at month end and yield may change.
- The later trip target can change after tickets become nonrefundable.
- Emergency cash should not be counted as a festival fund unless reassigned.
Evidence record: retain checkout timing, current fund statement, dated trip quotes, refund rules, and each exported phase plan. Do not buy tickets if losing the committed cash would threaten essential expenses.
Sources and related tools
Savings and ticket context
- CFPB savings resources — separate goals and emergency reserves.
- FTC online shopping guidance — verify ticket sellers and refund terms.