Market Analysis
What Is an Interest Rate?
The interest rate is the amount a lender charges a borrower as a proportion of the principal—the amount loaned. A loan's interest rate is normally calculated annually and expressed as an annual percentage rate (APR).
An interest rate can also be applied to a savings account or certificate of deposit (CD). In this situation, the bank or credit union pays the account holder a percentage of the monies deposited. The annual percentage yield (APY) refers to the interest generated on these deposit accounts.
Interest can be viewed as a fee paid by a borrower for utilizing borrowed assets, encompassing cash, goods, vehicles, and property. In essence, an interest rate reflects the "price" of money, with higher rates making borrowing more costly.
These rates are applicable across various lending and borrowing activities. Individuals often borrow to acquire homes, finance projects, start businesses, or cover educational expenses. Similarly, businesses secure loans for capital ventures and expansion, such as acquiring land, buildings, or machinery. Repayment of borrowed funds typically occurs either as a lump sum by a specified date or through regular installments.
In loan agreements, the interest rate is applied to the principal sum, representing the loan amount. It signifies the cost of debt for the borrower and the return for the lender. The total repayment usually exceeds the initial borrowed amount since lenders seek compensation for forgoing the opportunity to invest the money elsewhere during the loan term, which could have generated additional income. The disparity between the total repayment and the original loan constitutes the interest levied.
When assessing borrower risk, lenders often assign interest rates accordingly. Low-risk borrowers typically receive lower rates, while high-risk borrowers face higher rates, leading to increased borrowing costs.
Simple Interest Rate
If you take out a $300,000 loan from the bank and the loan agreement states that the interest rate is 4% simple interest, you must pay the bank the initial loan amount plus (4% x $300,000) = $300,000 + $12,000 = $312,000.
The preceding example was calculated using the yearly simple interest formula, which is:
Simple interest = principal x interest rate x time.
If the loan was only for a year, the borrower will be required to pay $12,000 in interest at the end of the year. If the loan was a 30-year mortgage, the interest payment would be
Simple interest: $300,000 × 4% x 30 equals $360,000.
Compound Interest Rate
Some lenders prefer utilizing the compound interest method, where borrowers end up paying more in interest over time. Compound interest, known as interest on interest, is calculated on both the principal amount and the accumulated interest from previous periods. At the end of each period, the borrower owes not only the principal but also the interest accrued up to that point.
This method results in higher interest payments compared to simple interest. Interest is compounded monthly, meaning it's charged on the principal along with any accrued interest from previous months. While both methods yield similar results for short durations, the gap between them widens as the lending period extends.
In the provided example, after 30 years, the total interest owed on a $300,000 loan with a 4% interest rate amounts to nearly $700,000.
Compound interest = Principal × [(1 + Interest rate)^n − 1]
Where:
Principal (P) represents the initial amount of money borrowed or invested.
n is the number of compounding periods.
Interest rate is the rate at which interest is applied.
Let's illustrate this with an example. Ben takes out a $10,000 loan with an interest rate of 5%, compounded annually for three years. Using the formula:
$10,000 × [(1 + 0.05)^3 − 1] = $10,000 × [1.157625 − 1] = $1,576.25
So, Ben pays $1,576.25 in interest over the three-year period.
Compound Interest and Savings Accounts
When you save money in a savings account, compound interest is beneficial. The interest collected on these accounts is compounded and is intended to compensate the account holder for enabling the bank to use the deposited funds.
If you put $500,000 into a high-yield savings account, the bank can use $300,000 of those money to make a home loan. To compensate you, the bank pays 5% interest on your account each year. So, while the bank charges the borrower 8%, it pays the account holder 5%, resulting in 3% in interest. In effect, savers give money to the bank, which then lends funds to borrowers in exchange for interest.
How are interest rates determined?
Interest rates set by banks are influenced by various factors, including economic conditions. Typically, a country's central bank, such as the Federal Reserve in the U.S., determines the interest rate, which serves as a benchmark for banks to determine the range of Annual Percentage Rates (APRs) they offer.
When the central bank sets interest rates at higher levels, borrowing costs increase. This discourages borrowing and slows down consumer spending. Interest rates usually move in tandem with inflation; as inflation rises, so do interest rates.
To address inflationary pressures, banks might impose higher reserve requirements or tighten the money supply, leading to increased demand for credit. In high-interest-rate environments, individuals tend to save more since they earn higher returns on their savings. This can impact the stock market negatively as investors opt for savings over investing in stocks, leading to reduced capital funding for businesses and economic contraction.
Conversely, during periods of low interest rates, economies are often stimulated as borrowing becomes cheaper. With lower returns on savings, businesses and individuals are more inclined to spend, often investing in riskier assets like stocks. This increased spending stimulates economic growth and injects capital into the markets, fostering expansion.
While governments generally favor lower interest rates to spur economic activity, prolonged low rates can lead to imbalances in the market, such as excess demand causing inflation. In response, interest rates may need to be raised, aligning with economic principles like Walras' Law.
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