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What is the formula for calculating continuous compound interest?
The calculation formula of continuous compound interest can be divided into intermittent compound interest and continuous compound interest. When X→∞ (approaching infinity), f = p * (1+I/x) xn has a mathematical formula to get f = p * (e) ni.

When X→∞ (approaching infinity), (1+I/x) x = E I (this is the definition equation of e), the final formula can be obtained by substitution.

Extended data

Continuous compound interest: In extreme cases, the principal C0 will bear interest according to compound interest in an infinitely short time.

Assuming that the current interest rate is δ and e is a natural constant, the final investment value Fv = c0×E(δt) after t years of investment.

Continuous compound interest. The relationship between annualized percentage return and effective annual interest rate;

The actual annual interest rate of EAR,

R annualized percentage interest rate.

The relationship between real interest rate, nominal interest rate and inflation rate;

Real interest rate r

Nominal interest rate r

Inflation rate I

Under other circumstances?

This is only an approximation.

But it is an identity under continuous compound interest:

Baidu Encyclopedia-Continuous Compound Interest