Crossing month is the first funded month
Each milestone is reached only when scheduled contributions and any entered booster have actually accumulated to its threshold.
Shared planning
Simulate two monthly contributions plus a periodic booster and report first whole-month crossings for two milestones and a target.
PERIODIC-BOOSTER MILESTONES
Two contributors add a base amount every month; a separate booster arrives only on its stated cycle. The ledger records the first month each named dollar milestone is crossed.
PERIODIC-BOOSTER MILESTONES
A promised bonus, refund, or seasonal payment is not dependable until received. Save a zero-booster case for a conservative baseline.
| Threshold | First crossing month | Required balance | Deposit cadence | State |
|---|
DETAILED CALCULATION PROCESS
B_m=B_(m−1)+A+C+1[m mod k=0]Q; m_j=min{m:B_m≥T_j}
Add both base contributions monthly, add the booster only on multiples of its interval, and record first whole-month threshold crossings.
| Symbol | Meaning | Unit |
|---|---|---|
| B_m | Closing balance | USD |
| A,C | Monthly contributions | USD/month |
| Q | Booster amount | USD |
| k | Booster interval | months |
| T_j | Milestone/target | USD |
| m_j | First crossing month | month |
HOW TO USE
SUBJECT FOUNDATIONS
MODEL AND FORMULA
Add both base contributions monthly, add the booster only on multiples of its interval, and record first whole-month threshold crossings.
RESULT INTERPRETATION
Each milestone is reached only when scheduled contributions and any entered booster have actually accumulated to its threshold.
A quarterly or one-time deposit can move one or more thresholds into its receipt month; averaging it would report cash before it arrives.
It assumes every entered contribution and booster occurs as scheduled and excludes yield, reversals, emergency withdrawals, and eligibility constraints.
DECISION BOUNDARY
A promised bonus, refund, or seasonal payment is not dependable until received. Save a zero-booster case for a conservative baseline.
When thresholds cluster around the booster amount, one missed receipt date shifts the entire later ladder rather than only the next threshold.
SENSITIVITY AND STRESS TESTING
The monthly contribution determines progress before and between booster events, making it the appropriate conservative case when bonuses are uncertain.
Closely spaced decorative milestones may all trigger together; operational milestones should correspond to distinct approvals, purchases, or commitment points.
DEEPER DECISION ANALYSIS
Dividing a quarterly bonus by three pretends cash arrived earlier.
Uncertain boosters should not fund required dates.
Milestones should represent decisions, not decoration.
WORKED CASES
Set booster to zero.
Increase interval using the actual payment schedule.
GLOSSARY
EVIDENCE
Keep statements, contributor transfers, booster source and dates, threshold agreement, missed-deposit log, and target purpose.
LIMITS
RELIABLE SOURCES
FAQ
Averaging would pretend cash was available before its actual arrival. The model preserves receipt timing so milestone dates remain auditable.
Yes. A zero-booster run is the conservative baseline and shows whether recurring contributions alone can support the target sequence.
The page models a chronological funding ladder. Equal or descending thresholds would not represent distinct later funding states.
This model expects future thresholds above the current balance. Record already achieved milestones separately so future crossing months remain meaningful.
No. It uses entered cash flows only, avoiding reliance on a rate that may vary or be unavailable over the planning horizon.
Yes. Enter their actual planned recurring contributions separately so responsibility and total baseline pace remain visible.
Exclude it from the base case and run it as an upside scenario. Required milestones should not depend on cash the contributors cannot control.
Reduce the contribution for the affected period in a dated schedule. A constant monthly model cannot faithfully represent irregular pauses without scenario adjustment.
Yes. A large scheduled deposit can cross multiple thresholds at once; that does not mean the underlying decisions must be made simultaneously.
Use one when deposits vary by month, withdrawals occur, deadlines differ by milestone, or payment dates inside a month affect actual availability.
IMPORTANT NOTE
Verify every deposit source, timing, account right, and product term. A simulated milestone is not guaranteed.