Examples
Examples
Try the starting example
- Existing vehicle annual operating/repair costs (USD/year)
- 4000,5000,7000
- Replacement annual costs from purchase age 1 onward (USD/year)
- 2500,3000,3500
- Existing resale values at years 0..horizon (USD)
- 10000,8000,6000,4000
- Replacement resale values at ages 0..horizon (USD)
- 20000,17000,14000,11000
- Replacement purchase at any scenario year (USD)
- 20000
- Candidate replacement years; horizon means keep existing (years)
- 0,1,2,3
- Scenario cost [replacement year,net undiscounted horizon cost currency] (USD)
- [[0,8000],[1,7500],[2,8500],[3,12000]]
- Lowest supplied-cost scenario years
- [1]
- Minimum supplied scenario cost (USD)
- $7,500.00
Try another scenario
- Existing vehicle annual operating/repair costs (USD/year)
- 4000,5000,7000
- Replacement annual costs from purchase age 1 onward (USD/year)
- 2500,3000,3500
- Existing resale values at years 0..horizon (USD)
- 10000,8000,6000,4000
- Replacement resale values at ages 0..horizon (USD)
- 20000,17000,14000,11000
- Replacement purchase at any scenario year (USD)
- 24000
- Candidate replacement years; horizon means keep existing (years)
- 0,1,2,3
- Scenario cost [replacement year,net undiscounted horizon cost currency] (USD)
- [[0,12000],[1,11500],[2,12500],[3,12000]]
- Lowest supplied-cost scenario years
- [1]
- Minimum supplied scenario cost (USD)
- $11,500.00
Calculation method
Calculation method
Scenario cost [replacement year,net undiscounted horizon cost currency] (USD)
If t<H: sum old costs years before t + purchase-oldResale[t] + replacement operating costs for age years 1..H-t - replacementResale[H-t]. If t=H: sum old costs-oldResale[H].
Lowest supplied-cost scenario years
All candidate years tied for minimum modeled undiscounted cost.
Minimum supplied scenario cost (USD)
Minimum computed cost, not an investment recommendation.
Symbols and units
- a
- Existing vehicle annual operating/repair costs (USD/year)
- b
- Replacement annual costs from purchase age 1 onward (USD/year)
- c
- Existing resale values at years 0..horizon (USD)
- d
- Replacement resale values at ages 0..horizon (USD)
- e
- Replacement purchase at any scenario year (USD)
- f
- Candidate replacement years; horizon means keep existing (years)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Explicit undiscounted cash scenarios, one replacement maximum. Purchase price assumed invariant by scenario year; exclude financing, tax, inflation, risk and time value unless already included by user in cash inputs. Existing vehicle initial sunk cost excluded. Supported limits: H=1..30; old/new cost arrays length H; resale arrays H+1; nonnegative inputs; candidate integer years 0..H, unique.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.