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InterestWhy you pay for the price of time

Interest is an extra fee a borrower pays to a lender on top of returning the original amount borrowed. It compensates lenders for giving up their money's immediate utility and taking on the risk of not getting paid back. Over time, calculating interest on top of past interest turns simple loans into exponential growth.

By the edgi team We find the most surprising true thing about an idea and build a 60-second lesson around it.

Interest lesson Play the 60-second lessonInterest is what you pay to use someone else's money for a while, and your savings account is a loan to the bank.

The price of time

Money is a claim on resources. Having it now is almost always more valuable than having it later, because you can use it to build, trade, or invest. When you borrow, you take that utility away from the lender. Interest is the compensation for that lost opportunity, often called the Time Value of money.

It is also a premium for risk. The lender is betting that you will be able to pay them back, and interest is the reward for taking that gamble.

Venn diagram illustrating the relationship between Risk Assessment and Risk Management processes, as described in Figure 1: NIOSH risk assessment and risk management processes. Risk Assessment includes Hazard Identification, Dose-Response Assessment, and Mode of Action, all leading to Risk Characterization, which overlaps with Risk Management's Available Technology and Risk Management Options, influenced by Target Risk.
Venn diagram illustrating the relationship between Risk Assessment and Risk Management processes, as described in Figure 1: NIOSH risk assessment and risk management processes. National Institute for Occupational Safety and Health, Public domain, via Wikimedia Commons

The cattle origin

Ancient Sumerians understood interest long before banks existed. They measured it using the biological growth of livestock. If you borrowed a cow, you didn't just owe a cow back; you owed the 'offspring' of that cow. Interest was literally the baby animal born during the loan period.

A Sumerian clay tablet inscribed with cuneiform script, housed in the Oriental Institute Museum at the University of Chicago. The tablet is irregularly shaped and contains dense rows of ancient writing.
A Sumerian clay tablet inscribed with cuneiform script, housed in the Oriental Institute Museum at the University of Chicago. Daderot, CC0, via Wikimedia Commons

This is why the word for interest in many ancient languages is synonymous with the word for 'offspring' or 'calves'.

The engine of growth

When interest is calculated only on the original Debt, it is simple interest. When it is calculated on the principal plus previously earned interest, it is Compound Interest. This creates an exponential curve. It is the mathematical reason why small savings can turn into massive fortunes if given enough time.

Graph illustrating the effect of earning 20% annual interest on an initial $1,000 investment at various compounding frequencies over 10 years. Curves show yearly, quarterly, monthly, and continuously compounded interest, with the continuous compounding curve representing y = 1000e^(0.2t).
Graph illustrating the effect of earning 20% annual interest on an initial $1,000 investment at various compounding frequencies over 10 years. Jelson25, CC BY-SA 3.0, via Wikimedia Commons

But it works against you when you are the borrower. High interest rates can trap a debtor, making the cost of the original loan balloon uncontrollably.

The invisible tug-of-war

Interest doesn't exist in a vacuum. It competes with Inflation, which erodes the purchasing power of money over time. If the inflation rate is higher than your interest rate, your money is losing value faster than it is earning it.

Line graph showing M2 Growth and Inflation (10-year averages) for the USA. The Y-axis represents percentage from -4.00% to 16.00%, and the X-axis represents the year from 1880 to 2020. Inflation (GNP Deflator, NBER) and Inflation (GDP Deflator, FRED) are shown in blue, while Growth in money supply (M2, NBER) and Growth in money supply (M2, FRED) are shown in orange.
Line graph showing M2 Growth and Inflation (10-year averages) for the USA. AlphaMikeOmega, CC0, via Wikimedia Commons

A smart lender, or a smart saver, always looks at the real rate of return, which is the interest rate minus the rate of inflation.

How interest works as the price of time

Money represents an immediate claim on resources. Having money today is worth more than having it tomorrow because you can instantly invest, trade, or build with it.

A red sign from Malawi Savings Bank Ltd. displays various interest rates for deposit accounts and a base lending rate. Rates include Ordinary Savings (5%), Premium Savings (5.25%), Now Accounts (0.75%), Short Term Deposits (7 Day Call 4%, 30 Day Call 5%), Fixed Deposits (2 Months 6%, 3 Months 5.50%, 6 Months 4%, 12 Months 0%), and Base Lending Rate (19%).
Notice how the bank lists distinct rates for customer deposits versus lending money to account for the cost of capital and risk. Brian Dell Bdell555, Public domain, via Wikimedia Commons

When a borrower takes money, the lender loses that opportunity. Interest serves as direct payment for this lost time value of money. It also functions as a risk premium to reward the lender for betting that the borrower will actually return the funds.

Ancient Sumerians measured this concept through livestock. Borrowing a cow meant returning the cow plus any calves born during the loan period, which is why the word for interest in several ancient languages directly translates to offspring.

Simple versus compound interest

Simple interest applies solely to the original principal amount borrowed. Compound interest calculates payments on the principal plus all accumulated interest from previous cycles.

Graph illustrating the classical theory of interest rate determination, plotting interest (i) and saving (s) on the Y-axis against the interest rate (r) on the X-axis. The blue curve i(r) represents investment, and the red curve s(ŷ,r) represents saving, with their intersection determining the equilibrium interest rate r̂.
The chart illustrates the classical relationship between desired levels of saving and the prevailing interest rate. Colin.champion, CC BY-SA 4.0, via Wikimedia Commons

Compounding produces an exponential curve. For savers, this mathematical compounding grows small balances into massive sums over long horizons. For borrowers, high interest rates cause debt to balloon uncontrollably as unpaid interest generates even more debt.

How inflation affects interest rates

Interest constantly competes against inflation, which erodes the purchasing power of money over time.

If inflation outpaces an interest rate, the money loses real value faster than it grows. Calculating the real rate of return requires subtracting the inflation rate from the nominal interest rate.

Test yourself

Why does a lender charge interest on a loan?

To earn a fee set by government policy.. Interest compensates the lender for giving up the use of money and for the risk of not being repaid.

What does interest primarily represent in an economic exchange?

Compensation for the lender's time and risk.. Interest represents the cost of the lender giving up the use of their money, covering both the time value of that capital and the risk that it may not be returned.

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Questions people ask

What is the real rate of return?

The real rate of return is the actual growth of your purchasing power after accounting for inflation. You calculate it by taking the stated interest rate and subtracting the inflation rate.

Why did ancient people link interest to livestock?

Ancient Sumerians used the natural biological reproduction of livestock to measure interest. A borrower owed the original animal plus the baby animals born during the borrowing period.

Part of the Set · 8 cards

How Debt Actually Works

A credit card charges 22% and a mortgage charges 6% for the same reason, and it is not your credit score.

  1. InterestReading now
  2. Credit card debt
  3. Payday loan
  4. Usury
  5. Collateral (finance)
  6. Debt collection
  7. Garnishment
  8. Bankruptcy
Learn the whole Set

Where this leads