CRF: Road Construction

Holding today's deposit of $75,000 flat, this fund goes negative in FY2030. Closing the gap takes $14,990 a year more — or, with less price shock, a deposit that grows by $7,495 each year.

One recurrence, applied 10 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.

The flat answer. The binding year is FY2030 — the year whose cumulative draws are hardest to cover. Through it:

The gradual answer — the one with less price shock.Instead of the same amount every year, the addition grows: $7,495 in year one, $14,990 in year two, and so on. A deposit rising in year t contributes t steps by year T, so the divisor is 1 + 2 + … + 3 = 6rather than 3:

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.