Real Interest Rate: Definition, Formula, and Example (2024)

What Is a Real Interest Rate?

A real interest rate is an interest rate that has been adjusted to remove the effects of inflation. Once adjusted, it reflects the real cost of funds to a borrower and the real yield to a lender or to an investor.

A real interest rate reflects the rate of time preference for current goods over future goods. For an investment, a real interest rate is calculated as the difference between the nominal interest rate and the inflation rate:

Real interest rate = nominal interest rate - rate of inflation (expected or actual).

Key Takeaways

  • A real interest rate equals the observed market interest rate adjusted for the effects of inflation.
  • It reflects the purchasing power value of the interest paid on an investment or loan.
  • It also represents the rate of time-preference of a borrower and lender.
  • Prospective real interest rates rely on estimates of future inflation over the time to maturity of a loan or investment.
  • Investors could earn a rate of return that's negative if the inflation rate is higher than the nominal rate of return on their investments.

Real Interest Rate: Definition, Formula, and Example (1)

Understanding Real Interest Rates

While the nominal interest rate is the interest rate actually paid on a loan or investment, the real interest rate is a reflection of the change in purchasing power derived from an investment or given up by the borrower.

The nominal interest rate is generally the one advertised by the institution backing the loan or investment. Adjusting the nominal interest rate to compensate for the effects of inflation helps to identify the shift in purchasing power of a given level of capital over time.

According to the time-preference theory of interest, the real interest rate reflects the degree to which an individual prefers current goods over future goods.

Borrowers who are eager to enjoy the present use of funds show a stronger time preference for current goods over future goods. They are willing to pay a higher interest rate for loaned funds.

Similarly, a lender who strongly prefers to put off consumption to the future shows a lower time preference and will be willing to loan funds at a lower rate. Adjusting for inflation can help reveal the rate of time preference among market participants.

Special Considerations

Expected Rate of Inflation

The expected rate of inflation is reported to Congress by the Federal Reserve (Fed), among others. Reports include estimates for a minimum three-year period. Most expected (or anticipatory) interest rates are reported as ranges instead of single-point estimates.

As the true rate of inflation may not be known until an investment reaches maturity or its holding period ends, the associated real interest rates must be considered anticipatory.

It's important that investors bear in mind current and expected inflation rates when they research where to put their money. Since the rate of inflation will eat away at the nominal rate of return, avoid lower returning fixed income investments that could mean a negligible real rate of return.

Effect of Inflation on the Purchasing Power of Investment Gains

In cases where inflation is positive, the real interest rate will be lower than the advertised nominal interest rate.

For example, if an investment such as a certificate of deposit (CD) is set to earn 4% in interest per year and the rate of inflation for the same time period is 3%, the real interest rate earned on the investment will be 1% (4% - 3%). When purchasing power is taken into consideration, the real value of the funds deposited in the CD will only increase by 1% per year, not 4%.

If those funds were instead placed in a savings account with an interest rate of 1%, and the rate of inflation remained at 3%, then the real value, or purchasing power, of the funds in savings will actually decrease. The real interest rate would be -2% after accounting for inflation (1% - 3%).

What Is Purchasing Power?

Purchasing power is the value of a currency expressed in terms of the number of goods or services that one unit of money can buy. It is important because, all else being equal,inflationdecreases the number of goods or services you can purchase.

For investments,purchasing poweris the dollar amount of credit available to a customer to buy additional securities against the existingmarginable securitiesin the brokerage account. Purchasing power is also known as a currency'sbuying power.

What Is Inflation?

Inflation is the decline ofpurchasing powerof a given currency over time. The rate of inflation, or the rate of decline in purchasing power, is reflected by the Consumer Price Index (CPI). CPI measures the change in an average price of abasket of selected goodsand services over a specific period of time.

The rise in the general level of prices, often expressed as a percentage, means that a unit of currency effectively buys less than it did in prior periods. Inflation can be contrasted withdeflation, which occurs when the purchasing power of money increases and prices decline.

How Does a Real Interest Rate Affect Investment Returns?

A real interest rate is the nominal (or stated) interest rate less the rate of inflation. For investments, the inflation rate will erode the value of an investment's return by decreasing the rate of return.

For example, if the rate of return for bonds you hold is 6% and the inflation rate is 3%, then the real rate of return will be 3%, not 6%. That's because the interest rate of 6% is adjusted downward by 3% to account for the unfortunate power of inflation to erode value (6% - 3% = 3%).

The Bottom Line

The real interest rate is an interest rate that has been adjusted for inflation to reflect the real cost of funds to a borrower and the real yield to a lender or an investor.

It reflects the rate of time preference for current goods over future goods and is calculated as the difference between the nominal interest rate and the inflation rate.

Real Interest Rate: Definition, Formula, and Example (2024)

FAQs

Real Interest Rate: Definition, Formula, and Example? ›

A real interest rate reflects the rate of time preference for current goods over future goods. For an investment, a real interest rate is calculated as the difference between the nominal interest rate

nominal interest rate
What Is Nominal Interest Rate? Nominal interest rate refers to the interest rate before taking inflation into account. Nominal can also refer to the advertised or stated interest rate on a loan, without taking into account any fees or compounding of interest.
https://www.investopedia.com › terms › nominalinterestrate
and the inflation rate: Real interest rate = nominal interest rate - rate of inflation (expected or actual).

How to calculate real interest rate with an example? ›

To find the real interest rate, we take the nominal interest rate and subtract the inflation rate. For example, if a loan has a 12 percent interest rate and the inflation rate is 8 percent, then the real return on that loan is 4 percent.

What is an equation that defines the real interest rate? ›

As discussed earlier, the equation for the real interest rate would be: Real Interest Rate (%) = Nominal Interest Rate (%) - Inflation Rate (%) Now, consider a situation where there is unexpectedly high inflation. This means the Inflation Rate (%) increases while the Nominal Interest Rate (%) remains constant.

What is the formula for the real interest rate approximation? ›

Unlike the nominal rate, the real interest rate takes the inflation rate into account. The equation that links nominal and real interest rates can be approximated as nominal rate = real interest rate + inflation rate, or nominal rate - inflation rate = real interest rate.

What is real interest rate description? ›

Real interest rate is the lending interest rate adjusted for inflation as measured by the GDP deflator. The terms and conditions attached to lending rates differ by country, however, limiting their comparability.

How to find a real interest rate? ›

For an investment, a real interest rate is calculated as the difference between the nominal interest rate and the inflation rate: Real interest rate = nominal interest rate - rate of inflation (expected or actual).

What is the formula for rate of interest with example? ›

Using the interest rate formula, we get the interest rate, which is the percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The interest rate formula is Interest Rate = (Simple Interest × 100)/(Principal × Time).

What is the interest rate formula simple? ›

How to Calculate Simple Interest? Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

What best describes the real interest rate? ›

The phrase that best describes the real interest rate is C. The nominal interest rate minus the rate of inflation. The real interest rate is the interest rate adjusted for inflation, which means it takes into account the changes in the purchasing power of money over time.

What is the real interest rate today? ›

US Real Interest Rate is at -1.19%, compared to 2.21% last year. This is lower than the long term average of 3.69%.

How do you construct real interest rate? ›

Real Interest Rate - Key takeaways
  1. Real Interest Rate: It is derived by deducting inflation from the nominal interest rate and serves as a more accurate indicator of financial returns or costs. ...
  2. Real Rate of Interest Formula: It is calculated as Real Interest Rate = Nominal Interest Rate - Inflation Rate.

What is an example of an interest rate? ›

If you take out a $300,000 loan from the bank and the loan agreement stipulates that the interest rate on the loan is 4% simple interest, this means that you will have to pay the bank the original loan amount of $300,000 + (4% x $300,000) = $300,000 + $12,000 = $312,000.

What is the formula for real rate in finance? ›

The Real Rate of Return = (Nominal Rate - Inflation Rate) / (1 + Inflation Rate). The calculation uses the nominal rate or the stated interest rate and the inflation rate, which is the annual percentage increase of goods and services.

Can the real interest rate ever be negative? ›

Real interest rates can be negative, but nominal interest rates cannot. Real interest rates are negative when the rate of inflation is higher than the nominal interest rate. Nominal interest rates cannot be negative because if banks charged a negative nominal interest rate, they would be paying you to borrow money!

What is the symbol for the real interest rate? ›

r – the real interest rate.

What is another term for the real interest rate? ›

Another term for real interest rate is rate of return. The real interest rate takes into account inflation, so it reflects the actual purchasing power of the money invested or borrowed.

What is the easiest way to calculate interest rate? ›

Note that the interest in a savings account is money you earn, not money you pay. The formula for calculating simple interest is: Interest = P * R * T. P = Principal amount (the beginning balance).

What is an example of a nominal and real interest rate? ›

For example, if the inflation rate is 5%, on a one-year loan of $1,000 with an 8% nominal interest rate the real interest rate would be 8% minus 5% or 3%. The real interest rate will usually be lower than then nominal interest rate.

What is the formula for the tax real interest rate? ›

Your after-tax real rate of return is calculated by, first, figuring your after-tax pre-inflation rate of return, which is calculated as nominal return × (1 - tax rate). That would be 0.12 × (1 - 0.15) = 0.102 = 10.2%.

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