CRF: Dispatch Center
Property taxes · General Fund · 20-year horizonEvery figure the reserves table quotes for this fund, derived again here line by line. The bar in a public meeting is not trust-the-software; it is check line four.
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The answer
Holding today's deposit of $33,800 flat, this fund goes negative in FY2032. Closing the gap takes $58,380 a year more — or, with less price shock, a deposit that grows by $6,868 each year.
One recurrence, applied 20 times: balance = balance × (1 + 0.0%) + deposit − draws. Deposits are today’s figure, held flat. No solver and no goal-seek — the answers below are closed-form, so the same inputs always give the same figures.
Balance, both ways
negatives are shown, never floored — a fund going under is the findingThe roll-forward, line by line
every draw names its projects| Year | Deposit | Draws | Drawn by | Balance | Step-up deposit | Balance, stepped |
|---|---|---|---|---|---|---|
| Opening | available, net of commitments, as of 31 Oct 2025 | $233,126 | $233,126 | |||
| FY2028 | $33,800 | $48,500 | Digital Alarm Monitor $48,500 | $218,426 | $40,668 | $225,294 |
| FY2029 | $33,800 | $55,000 | Video System $55,000 | $197,226 | $47,536 | $217,831 |
| FY2030 | $33,800 | — | $231,026 | $54,405 | $272,235 | |
| FY2031 | $33,800 | $225,000 | Radio Console $225,000 | $39,826 | $61,273 | $108,508 |
| FY2032 | $33,800 | $117,000 | Police simulcast radio system $117,000 | -$43,374 | $68,141 | $59,649 |
| FY2033 | $33,800 | — | -$9,574 | $75,009 | $134,658 | |
| FY2034 ·beyond the window | $33,800 | — | $24,226 | $81,877 | $216,535 | |
| FY2035 ·beyond the window | $33,800 | — | $58,026 | $88,746 | $305,281 | |
| FY2036 ·beyond the window | $33,800 | $160,000 | Dispatch furniture $135,000Hayes Hill Generator $25,000 | -$68,174 | $95,614 | $240,895 |
| FY2037 ·beyond the window | $33,800 | $23,500 | Logger recorder $23,500 | -$57,874 | $102,482 | $319,877 |
| FY2038 ·beyond the window | $33,800 | $375,000 | Town Hall/Hayes/PD Antenna $375,000 | -$399,074 | $109,350 | $54,227 |
| FY2039 ·beyond the window | $33,800 | — | -$365,274 | $116,218 | $170,445 | |
| FY2040 ·beyond the window | $33,800 | — | -$331,474 | $123,086 | $293,531 | |
| FY2041 ·beyond the window | $33,800 | — | -$297,674 | $129,955 | $423,486 | |
| FY2042 ·beyond the window | $33,800 | — | -$263,874 | $136,823 | $560,309 | |
| FY2043 ·beyond the window | $33,800 | $704,000 | Fire A & B Repeater $504,000Dispatch Ctr Renovations $200,000 | -$934,074 | $143,691 | $0 |
| FY2044 ·beyond the window | $33,800 | — | -$900,274 | $150,559 | $150,559 | |
| FY2045 ·beyond the window | $33,800 | — | -$866,474 | $157,427 | $307,987 | |
| FY2046 ·beyond the window | $33,800 | — | -$832,674 | $164,296 | $472,282 | |
| FY2047 ·beyond the window | $33,800 | — | -$798,874 | $171,164 | $643,446 |
Where the two answers come from
the same arithmetic, checkable on paperThe flat answer. The binding year is FY2043 — the year whose cumulative draws are hardest to cover. Through it:
| Draws, FY2028–FY2043 | $1,708,000 |
| less the opening balance | − $233,126 |
| less the deposits already planned | − $540,800 |
| Uncovered | $934,074 |
| spread over 16 equal annual additions | $58,380 / yr |
The gradual answer — the one with less price shock.Instead of the same amount every year, the addition grows: $6,868 in year one, $13,736 in year two, and so on. A deposit rising in year t contributes t steps by year T, so the divisor is 1 + 2 + … + 16 = 136rather than 16:
| Uncovered through the binding year FY2043 | $934,074 |
| divided by the triangle number 136 | $6,868 more each year |
This is the recommendation the budget request prints: a gradual annual adjustment so that no year goes negative and there is less price shock. The Town raises a contribution once — it does not reset one. As projects shift, are removed, or reprice, both answers recompute; they cannot go stale.
What is lingering just outside the window
this is what drives the contribution| Year | Asset | Draw |
|---|---|---|
| FY2036 | Dispatch furniture | $135,000 |
| FY2036 | Hayes Hill Generator | $25,000 |
| FY2037 | Logger recorder | $23,500 |
| FY2038 | Town Hall/Hayes/PD Antenna | $375,000 |
| FY2043 | Fire A & B Repeater | $504,000 |
| FY2043 | Dispatch Ctr Renovations | $200,000 |