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Simple Interest Calculator

Calculate accumulated interest and final capital of an investment using simple interest. Learn the capitalization formulas in 2026.

Investment Details

Principal capital€10.000,00
€100€100.000
Annual interest rate (TIN)5,00%
%
0,5%30%
Investment duration3 años
years
1 year30 years
Total Interest Earned
€1.500,00
Final accumulated capital (Principal + Interest):€11.500,00

📊 Investment Performance Summary

Initial deposited capital€10.000,00
Interest generated per year€500,00
Total accumulated yield15,00%
Total Capital Accumulated€11.500,00

Simple interest capitalization (or the simple interest method) is one of the fundamental pillars of financial mathematics and the valuation of short-term debt instruments. Under this model, interest accrued at the end of each period is calculated exclusively on the original principal amount deposited. The gains are typically paid out or withdrawn rather than added back into the principal to generate new interest. This stands in contrast to compound interest, where interest earned is reinvested, growing the base exponentially.

In 2026, yields on short-term fixed-income assets in Spain, such as 3-month Treasury bills (Letras del Tesoro), average around 3.15% according to official Treasury data. These products are settled using linear mathematical formulas equivalent to simple interest. If you want to analyze the long-term compounding effects of reinvesting your yields, we recommend using our Compound Interest Calculator or simulating fixed deposits with the Fixed Term Deposit Calculator.

⚙️ The Linear Formula of Simple Interest

The standard formula to calculate interest generated under a simple interest framework is:

Interest Earned (I) = Principal (C) * Annual Nominal Interest Rate (i) * Duration (t)

Where:

  • Principal (C): The total amount of money originally deposited or loaned.
  • Nominal Interest Rate (i): The interest rate expressed as a decimal (percentage divided by 100).
  • Duration (t): The length of the investment expressed in years. (If the term is in months, divide the number of months by 12).
  • Final Capital (F): The sum of the principal and interest earned: F = C + I.

📊 Practical Simple Interest Examples

Here are two scenarios of simple interest investments:

Example 1: Short-term Spanish Treasury Bills
  • Initial principal deposited: **€10,000.00**
  • Nominal interest rate (TIN): **5.00%** per year
  • Duration of the investment: **3 years**
Result: The total linear interest generated is **€1,500.00** over the three-year term (**€500.00** each year). The final accumulated capital is **€11,500.00**, representing a **15.00%** total return.
Example 2: 12-Month Corporate Promissory Note
  • Initial principal deposited: **€50,000.00**
  • Nominal interest rate (TIN): **4.00%** per year
  • Duration of the investment: **1 year** (12 months)
Result: The linear interest calculation results in an accrued gain of **€2,000.00** at maturity. The final capital repaid to the investor is **€52,000.00**.

⚠️ Key Differences vs. Compound Interest

  1. Coupon or Dividend Payouts: Simple interest is appropriate for investments where returns are paid out periodically (such as receiving quarterly stock dividends or semi-annual bond coupons in your checking account) rather than left to accumulate.
  2. Linear vs. Exponential Growth: Over periods longer than one year, simple interest grows at a constant linear rate, whereas compound interest grows exponentially because the reinvested interest also generates interest.

❓ Frequently Asked Questions (FAQ)

Under simple interest, earnings are always calculated on the initial principal. Under compound interest, earned interest is added to the principal at the end of each period, earning interest on interest in a snowball effect.

Simple interest is primarily used in short-term fixed-income assets (under one year) such as Treasury bills, corporate commercial paper, peer-to-peer personal loans, and standard non-compounding bank accounts.

For months, divide the number by 12 (t = months / 12). For days, divide by the commercial year of 360 days or the standard calendar year of 365 days, depending on the contract terms.

This means you buy the bill for less than its face value. For example, you buy a €1,000 bill at a discount for €970. At maturity, the government pays you €1,000, and the €30 difference is your simple interest yield.

Over the long term, simple interest is less effective because it lacks the multiplier effect of compounding. For long-term savings (over 3 to 5 years), compound interest options are always recommended.

Interest earnings are taxed as capital mobility income (base del ahorro) under IRPF. Lenders or banks typically withhold a standard tax rate (usually 19%) from your payout at maturity.

Interest Capitalization Method

Simple Interest Interest generated in each period is not added to the principal to compound.
Linear mathematical formula: I = C * i * t.
Ideal for short-term loans, promissory notes, and Treasury bills.
Allows simulating terms of up to 30 years with real-time feedback.

Reference Organizations

🏛️
Bank of Spain
Provides educational resources clarifying differences between simple and compound interest.
Education Portal →
📈
CNMV Investor Section
Explains liquidation methodologies of corporate and government debt instruments.
CNMV Website →
🛡️
Last updated:Financial mathematics formulas and standards updated for 2026.