利率换算器

分类： Uncategorized
- August 31, 2026
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Convert between Annual Percentage Rate (APR) and Effective Annual Rate (EAR) to understand the true cost of loans and investments

Rate Conversion

%
Effective Annual Rate (EAR)
5.12%
The true annual return accounting for compounding
%
Annual Percentage Rate (APR)
4.89%
The nominal annual rate without compounding

Comparison

APR vs. EAR over Different Compounding Frequencies

APR to EAR Conversion Table

Compounding APR: 5.00% Effective Rate Difference

Conversion Formulas

APR to EAR Formula:

EAR = (1 + APR/n)n - 1

Where n is the number of compounding periods per year. For continuous compounding, the formula is: EAR = eAPR - 1

EAR to APR Formula:

APR = n × ((1 + EAR)1/n - 1)

Where n is the number of compounding periods per year. For continuous compounding, the formula is: APR = ln(1 + EAR)

Understanding Interest Rate Conversions

When analyzing loans, investments, or financial products, understanding the difference between APR and EAR is crucial for making informed decisions. These rates may seem similar, but they represent interest in fundamentally different ways.

Annual Percentage Rate (APR)

  • Simple interest rate: Does not account for compounding
  • Nominal rate: The stated interest rate without considering frequency of compounding
  • Required for loans: In many countries, lenders must disclose APR by law
  • Linear calculation: Easy to calculate but doesn't show the true cost over time

Effective Annual Rate (EAR)

  • Compound interest rate: Accounts for the effects of compounding
  • True annual cost: Reflects the actual amount paid/earned over a year
  • Comparison tool: Allows accurate comparison between different compounding frequencies
  • Always higher: EAR is always higher than APR (except for annual compounding)

Practical Examples

Credit Card Example

A credit card with 18% APR compounded monthly has an EAR of 19.56%. This means you'll actually pay 19.56% interest over a year if you don't pay your balance in full each month.

Savings Account Example

A savings account offering 2% APR with daily compounding has an EAR of 2.02%. The difference is small but becomes more significant with higher interest rates or longer time periods.

Investment Example

An investment promising 8% APR compounded quarterly has an EAR of 8.24%. When comparing investments, using EAR provides a more accurate picture of your actual returns.

本工具计算什么

名义利率、实际年利率与连续复利之间的换算。

公式
实际年利率 =（1 + 名义利率 ÷ n）ⁿ − 1；连续复利 = e^r − 1
计算示例
名义利率 6%、按月复利，实际年利率为（1 + 0.06/12）¹² − 1 = 6.17%。
何时使用
比较以不同复利方式报价的利率时使用。
常见错误
直接将按月复利与按年利率比较。表面数字接近，实际年利率却不同。