Social Cost of Carbon Calculator
Calculate economic damages of CO2 emissions using SCC.
Social Cost of Carbon Calculator
Calculator
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Formula: Cost = Emissions x SCC
Worked example โ Current-year cost: $25,500 | 30-year present value: approximately $666,000
Formula
Cost = Emissions x SCC
Multiply emissions by social cost per tonne, discount over time.
Worked Examples
Example 1: Small Business Emissions
Problem:A business emits 500 tonnes of CO2 per year. Using an SCC of $51/tonne, a 3% discount rate, a 30-year horizon, and 2% annual SCC growth, estimate the current-year cost and 30-year present value.
Solution:Current-year cost = 500 x $51 = $25,500 Present value = sum of each year's emissions x escalating SCC, discounted at 3% over 30 years is approximately $666,000 Annualized equivalent (30-yr capital recovery at 3%) is approximately $34,000/year
Result:Current-year cost: $25,500 | 30-year present value: approximately $666,000
Example 2: Power Plant Emissions
Problem:A power plant emits 100,000 tonnes of CO2 per year. Using the same $51/tonne SCC, 3% discount rate, 30-year horizon, and 2% annual SCC growth, estimate the current-year cost and 30-year present value.
Solution:Current-year cost = 100,000 x $51 = $5,100,000 Present value scales linearly with the small-business case: $666,000 x (100,000 / 500) = approximately $133,000,000
Result:Current-year cost: $5,100,000 | 30-year present value: approximately $133,000,000
Frequently Asked Questions
Why does the discount rate change the answer more than any physical parameter?
A tonne emitted today keeps causing damage for centuries, so most of the damage stream sits far in the future where discounting bites hardest. At 3 percent a dollar of harm 100 years out is worth about 5 cents today, while at 2 percent it is worth about 14 cents. Moving from 3 percent to 2 percent therefore commonly multiplies the estimate by two or three, which is the main reason published central values span an order of magnitude.
What is the difference between the social cost of carbon and a carbon price?
The social cost of carbon is a modelled estimate of marginal damage, meaning what one extra tonne costs the world. A carbon price is whatever a tax or allowance market actually charges, set by politics and permit supply. The two coincide only when a policy has been deliberately calibrated to the damage estimate, which is uncommon. Use the damage figure to appraise a project's externality, and the observed market price to forecast a company's cash outlay.
Why does the calculator escalate the per-tonne value over time?
A tonne emitted twenty years from now strikes a world that is wealthier, already warmer and closer to nonlinear damage thresholds, so its marginal damage is higher. Official guidance therefore publishes a rising schedule rather than one constant number, typically growing on the order of 1.5 to 3 percent a year in real terms. Escalation and discounting are separate steps acting in opposite directions and should not be collapsed into a single net rate.
What does the present value output represent compared with the current-year cost?
The current-year figure is simply this year's emissions multiplied by this year's per-tonne value, a one-off externality charge. The present value assumes the same annual emissions repeat across the chosen horizon, escalates each year's damage, then discounts the whole stream back to today. It answers a different question: what is the total climate externality of continuing to operate as you are, expressed in today's money, which is the right basis for weighing a capital investment.
What is the annualised figure useful for?
Annualisation converts the present value into the constant yearly payment that has the same present value over the horizon, using the standard capital recovery factor. That puts the externality in the same shape as an operating cost or a lease, so it can be set directly against the annual saving from an abatement measure. If a retrofit avoids more damage per year than the annualised figure it removes, the case stands on externality grounds alone.
How do integrated assessment models turn a tonne of CO2 into dollars?
They run the model twice, once along a baseline path and once with a small pulse of extra emissions added. The pulse changes concentrations, then radiative forcing and temperature, and a damage function translates that temperature change into lost output in sectors such as agriculture, coastal flooding, energy demand and mortality. The difference between the two damage streams, discounted to the present and divided by the size of the pulse, is the cost per tonne.
Why do estimates differ so much between models such as DICE, PAGE and FUND?
They differ in the shape of the damage function, in how mortality and adaptation are handled, in whether the discount rate is imposed directly or derived from a Ramsey formulation tied to growth, and in how uncertainty is propagated. FUND has historically produced low values at moderate warming because it credits carbon dioxide fertilisation and fewer cold deaths, while recent work using updated damage functions and Ramsey discounting has produced values several times higher than earlier interagency figures.
Should I use a global or a domestic-only value?
A global value counts damage wherever it falls, which is the economically coherent treatment because greenhouse gases mix worldwide and one country's emissions harm every other. A domestic-only value counts damages inside one country's borders and is therefore far smaller, a modest fraction of the global figure. The choice is a policy judgement rather than a technical one, so always state which basis the per-tonne input uses when you publish a result.
How does the Ramsey formula decide what discount rate to enter?
Rather than picking a rate by convention, the Ramsey approach derives it as r = rho + eta x g, where rho is pure time preference, eta is the elasticity of marginal utility of consumption, and g is the growth rate of consumption per head. With rho at 0.5 percent, eta of 1.5 and growth of 2 percent the rate comes to 3.5 percent. The structure makes the ethical choices explicit and, because g falls in high-damage futures, lets the rate decline endogenously.
Can I use this per-tonne value for methane or nitrous oxide emissions?
Not directly. Each gas has its own social cost per tonne, estimated from its own emissions pulse, and the ratios do not match global warming potentials because damage timing differs. Methane decays in roughly a decade, so its harm arrives early and is barely discounted, while nitrous oxide persists for over a century and is discounted heavily. Converting a methane figure to CO2e using GWP100 and then multiplying by the carbon value bakes in that mismatch, so use gas-specific damage estimates where they exist.
References
Background & Theory
History
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
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