Examples
Examples
Try the starting example
- Benefits by year including year zero (USD)
- 0,10000,12000,14000
- Costs in same years (USD)
- 25000,1000,1000,1000
- Annual discount rate (%)
- 5
- Present value benefits (USD)
- $32,501.89
- Present value costs (USD)
- $27,723.25
- Benefit-cost ratio
- 1.172369
- Net present value (USD)
- $4,778.64
Try another scenario
- Benefits by year including year zero (USD)
- [1, 10000, 12000, 14000]
- Costs in same years (USD)
- [25000, 1000, 1000, 1000]
- Annual discount rate (%)
- 5
- Present value benefits (USD)
- $32,502.89
- Present value costs (USD)
- $27,723.25
- Benefit-cost ratio
- 1.172406
- Net present value (USD)
- $4,779.64
Calculation method
Calculation method
Present value benefits (USD)
Discount supplied year-indexed benefits/costs to year zero; ratio=sum discounted benefits/sum discounted costs.
Present value costs (USD)
Discount supplied year-indexed benefits/costs to year zero; ratio=sum discounted benefits/sum discounted costs.
Benefit-cost ratio
Discount supplied year-indexed benefits/costs to year zero; ratio=sum discounted benefits/sum discounted costs.
Net present value (USD)
Discount supplied year-indexed benefits/costs to year zero; ratio=sum discounted benefits/sum discounted costs.
Symbols and units
- a
- Benefits by year including year zero (USD)
- b
- Costs in same years (USD)
- c
- Annual discount rate (%)
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
- User-supplied measurements and assumptions; Discount supplied year-indexed benefits/costs to year zero; ratio=sum discounted benefits/sum discounted costs. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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.