 Lisa Borga
Last Updated: May 10, 2022
Date Published: May 10, 2022

The discount rate is the rate that Federal Reserve Banks charge depository institutions or commercial banks for overnight loans.

This rate is established by the Federal Reserve Bank rather than being determined by the market.

In contrast, the interest rate is the amount lenders charge borrowers when they lend money or some other asset to the borrower.

The asset being lent to the borrower could be money or other assets, such as buildings or machinery.

Interest rates are generally computed for a period of a year.

This is called the annual percentage rate.

## Discount Rate The discount rate is the rate the Federal Reserve Bank charges commercial banks for overnight loans.

But, it is also the interest rate that is used when performing discounted cash flow analysis.

This analysis is used to estimate the future value of an investment based on its forecasted cash flows.

This is useful for investors as it allows them to compare the value of different potential investments.

Due to the time value of money, a set amount of money will have different values at different times.

As an example, we could use the discount rate to determine whether it would be better to receive \$1,000 at the beginning of the year or at the end of the year.

Clearly, it is better to receive the \$1,000 at the beginning of the year.

If you receive the money at the beginning of the year, you can invest the money and earn a return on the money.

However, if you choose to receive the money at the end of the year, it will only be worth \$1,000.

Pension plan companies and insurance companies use the discount rate to discount their liabilities.

## Interest Rate

The interest rate is the percentage a lender charges a borrower for the use of their money or other asset being borrowed.

This is the rate that a bank or financial institution will charge on the principal amount they are lending to a borrower.

For borrowers, it is the price they pay for using the bank’s money.

Whereas, for the bank, it is the amount they earn for lending the money.

There are two different types of interest rates, which are:

• Simple Interest: With simple interest, the interest charged on a loan each year is only charged on the original amount of the loan.
• Compound Interest: If a bank charges compound interest, the same percentage may be applied, but the interest is charged on the entire amount of the loan each year instead of just the original amount of the loan. This means the amount the interest is being charged on will change each year.

### Interest Rate Example One: Simple Interest

Suppose Mr. Smith wants to take out a loan for \$500 to buy some new shelves for his bookstore.

The bank is willing to loan him the money, and he will be required to pay them \$550 when the loan comes due at the year’s end.

For this loan, the cost of borrowing the money, the interest, is \$50.

This means the interest rate is 10% ( \$50 / \$500).

### Interest Rate Example Two: Compound Interest

Suppose Jill deposits \$500 in a bank account, and the bank pays simple interest of 5%.

If Jill keeps the money in the bank for three years, she will receive interest of \$75 [(\$500 * 5%) * 3].

However, if the interest is instead compounded annually, Jill would receive \$78.81 in interest.

The following table shows the calculations.

 Year Interest of 5% Total Amount at Year’s End 1 \$25 \$525 2 \$26.25 \$551.25 3 \$27.56 \$578.81

As you can see from the chart, depositing your money in a bank offering compound interest will increase the money you earn on your deposit.

## Key Distinctions Between Discount and Interest Rates

Both discount and interest rates are key concepts in investing and can be extremely complex.

So, here are some of the key differences between the two concepts.

• The discount rate, when used in investments, is far more complex to calculate than the interest rate because the discount rate requires estimation of the present value of future cash flows. Whereas the interest rate is simply a percentage of the value of loaned money which is charged as a fee.
• Discount rates for loans are charged on overnight loans made to commercial banks and depository institutions, whereas interest rates are charged on loans that can originate from many sources, including financial institutions and individuals.
• Interest rates fluctuate considerably based on economic conditions, the trustworthiness of the borrower, and other factors, whereas discount rates are determined by Federal Reserve Banks and are relatively fixed based upon the average rate determined for what an ordinary bank would charge for an overnight loan.

## Discount Rate and Interest Rates Compared

 Points of Comparison Interest Rate Discount Rate Meaning Interest rates are fees charged by a lender for the borrowing of assets. A discount rate is an amount that Federal Reserve Banks charge financial institutions for overnight loans. Applies To Commercial and Individual Borrowers Financial Institutions Controlled By The market Federal Reserve Point of Focus Focused on the viewpoint of the lender Focused on the viewpoint of the investor Use Helps to determine the cost of borrowing money Helps to find the present value of future cash flows

## Final Thoughts

Though the terms discount rate and interest rate are easy to confuse, they have very different meanings in investment and finance.

Put simply, interest rates are the amount that a lender charges on the amount that they loan.

In contrast, discount rates are the amount the Federal Reserve Banks charge financial institutions on overnight loans.

This means that many individuals, as well as businesses, will interact with interest rates on a regular basis, whereas discount rates are generally only of concern for larger institutions.

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1. Stanford University "Interest Rates and Bond Yields" Page 1 . May 10, 2022

2. Cornell Law School "20 U.S. Code § 1077a - Applicable interest rates" Page 1 . May 10, 2022