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Interest Rate Calculator

Calculate various interest rates including nominal, effective annual, and APR for loans and deposits

Calculate Interest Rate

$

Principal amount borrowed

Years

Months

$

Amount paid per period

How often payments are made

How often interest compounds

$

Fees paid upfront (processing, origination)

$

Fees rolled into the loan amount

Interest Rate Results

7.420%
Nominal Annual Rate
0.6183%
Periodic Rate
7.678%
Effective Annual Rate (EAR)
4.000%
Annual Percentage Rate (APR)

Calculation Details

Type: Loan

Term: 5 years 0 months

Compounding: Monthly

Payment Frequency: Monthly

Payment Breakdown

Principal: $10,000

Total Interest: $2,000

Total Fees: $0

Total Cost: $12,000

Rate Analysis

✅ Interest rate within typical range for personal loans (5-15%).
💡 EAR (7.68%) accounts for compounding effects

Example Calculation

Loan Example

Loan Amount: $10,000

Term: 5 years

Monthly Payment: $200

Prepaid Fees: $200

Loaned Fees: $300

Results

Nominal Interest Rate: ~13.12%

Effective Annual Rate: ~13.93%

Annual Percentage Rate: ~14.98%

Total Payments: $12,000

Total Interest: $1,700

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Types of Interest Rates

Nominal Rate

Simple annual rate without compounding

Effective Annual Rate

Rate including compounding effects

APR

Rate including all fees and costs

Periodic Rate

Rate per compounding period

Key Formulas

Loan Payment

P = (A × i × (1+i)^n) / ((1+i)^n - 1)

Compound Interest

F = A × (1 + r/m)^(mt)

Effective Annual Rate

EAR = (1 + r/m)^m - 1

Financial Tips

Compare APR when shopping for loans

Higher compounding frequency increases effective rate

Include all fees in your cost comparison

Consider inflation when evaluating returns

Understanding Interest Rates

What is Interest Rate?

Interest rate represents the cost of borrowing money or the return on invested money, expressed as a percentage of the principal amount per year. It's the fundamental concept in finance that connects present and future value of money.

Why Calculate Interest Rates?

  • Compare different loan and investment options
  • Understand the true cost of borrowing
  • Evaluate investment performance and returns
  • Make informed financial decisions

Types of Interest Rates

Nominal Annual Rate

The stated annual interest rate without considering compounding effects. Also called simple interest rate.

Effective Annual Rate (EAR)

The actual annual rate considering compounding frequency. Always higher than nominal rate when compounding occurs.

Annual Percentage Rate (APR)

Total cost of borrowing including interest and all fees, expressed as a yearly rate. Best for loan comparison.

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