Calculate continuous exponential growth or decay: start × e^(rate × t).
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Use this calculator for continuous compounding: a population modelled with e^(rt), radioactive decay with a negative rate, or the exponential function itself. Discrete compounding of the form start × (1 + r)^t belongs on the power page, not here.
The calculation is: value = start × e^(r t), where r is the continuous rate as a decimal (5 means 5%, so r = 0.05). A negative rate decays. Time t uses the same unit the rate is quoted in (per year with t in years, and so on).
Start: Amount at t = 0.
Continuous rate (%): Percent per time unit. Negative values decay.
Time: Elapsed time in the same units as the rate.
Value: Amount at time t.
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