Interest Rate

Interest Rate Interest rates determine the amount paid by borrowers (debtors) for holding money from lenders (creditors). These rates are usually expressed as a percentage of an amount paid for a period of one year; however, they are also sometimes calculated over shorter periods. Offered interest rates vary from product to product and from bank to bank, with a number of factors contributing to the rate of interest. When investors devote capital to a financial product, the bank is in effect borrowing the money. The interest is the price paid by the bank for leaving the money with them for a fixed period of time. For example, an investment of EUR 10,000 for one year with an interest rate of 2% means the investor will receive a total of EUR 200 in interest at the end of the term. Investors typically have the option to withdraw their funds or reinvest them in another fixed-term product. This is where compound interest becomes relevant as an investor will also accrue interest on the interest of their last fixed term deposit should they choose to reinvest their capital. Types of interest rates There are essentially three main types of interest rates: the nominal interest rate, the effective rate, and the real interest rate. The nominal interest of an investment or loan is simply the stated rate on which interest payments are calculated. Essentially, this is the rate on which savings accrue interest over a period of time. For example, an investment of EUR 10,000, at a nominal interest rate of 5% over 1 year, would earn the investor EUR 500. The effective interest rate (AER) takes into account compounding over the full term of the investment. It is often used to compare the annual interest rates with different compounding terms (daily, monthly, annually, etc.). This means that a nominal interest rate of 5% compounded quarterly would equate to an effective rate of 5.095%, compounded monthly at 5.116%, and daily at 5.127%.

Finally, the real interest rate is useful when considering the impact of inflation on nominal interest rates. In essence, the real interest rate deducts the rate of inflation from the nominal interest rate. This means that if the nominal interest rate is 5% and the inflation rate is also 5%, the real interest rate is effectively 0%. What factors determine interest rates? There are a number of factors that determine the interest rates offered by banks in return for your investment. These include; the chance of default by the borrower, the residual term, the payback currency, the respective country credit rating, the number of commercial banks in the country, and the national projections of savings vs. credit. The type of savings account chosen is also a determining factor. The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. The interest rate on a loan is typically noted on an annual basis known as the annual percentage rate (APR). An interest rate can also apply to the amount earned at a bank or credit union from a savings account or certificate of deposit (CD). Annual percentage yield (APY) refers to the interest earned on these deposit accounts.  The interest rate is the amount charged on top of the principal by a lender to a borrower for the use of assets.  An interest rate also applies to the amount earned at a bank or credit union from a deposit account.  Most mortgages use simple interest. However, some loans use compound interest, which is applied to the principal but also to the accumulated interest of previous periods.  A borrower that is considered low risk by the lender will have a lower interest rate. A loan that is considered high risk will have a higher interest rate.  Consumer loans typically use an APR, which does not use compound interest.

 The APY is the interest rate that is earned at a bank or credit union from a savings account or CD. Savings accounts and CDs use compounded interest. Interest rates apply to most lending or borrowing transactions. Individuals borrow money to purchase homes, fund projects, launch or fund businesses, or pay for college tuition. Businesses take out loans to fund capital projects and expand their operations by purchasing fixed and long-term assets such as land, buildings, and machinery. Borrowed money is repaid either in a lump sum by a pre-determined date or in periodic installments. For loans, the interest rate is applied to the principal, which is the amount of the loan. The interest rate is the cost of debt for the borrower and the rate of return for the lender. The money to be repaid is usually more than the borrowed amount since lenders require compensation for the loss of use of the money during the loan period. The lender could have invested the funds during that period instead of providing a loan, which would have generated income from the asset. The difference between the total repayment sum and the original loan is the interest charged. When the borrower is considered to be low risk by the lender, the borrower will usually be charged a lower interest rate. If the borrower is considered high risk, the interest rate that they are charged will be higher, which results in a higher cost loan.   Interest Rate Example If you take out a $300,000 mortgage from the bank and the loan agreement stipulates that the interest rate on the loan is 4%, 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. Simple Interest Rate The example above was calculated based on the annual simple interest formula, which is:

Simple interest = principal X interest rate X time The individual that took out a mortgage will have to pay $12,000 in interest at the end of the year, assuming it was only a one-year lending agreement. If the term of the loan was for 30 years, the interest payment will be: Simple interest = $300,000 X 4% X 30 = $360,000 An annual interest rate of 4% translates into an annual interest payment of $12,000. After 30 years, the borrower would have made $12,000 x 30 years = $360,000 in interest payments, which explains how banks make their money. Compound Interest Rate Some lenders prefer the compound interest method, which means that the borrower pays even more in interest. Compound interest, also called interest on interest, is applied to the principal but also on the accumulated interest of previous periods. The bank assumes that at the end of the first year the borrower owes the principal plus interest for that year. The bank also assumes that at the end of the second year, the borrower owes the principal plus the interest for the first year plus the interest on interest for the first year. The interest owed when compounding is higher than the interest owed using the simple interest method. The interest is charged monthly on the principal including accrued interest from the previous months. For shorter time frames, the calculation of interest will be similar for both methods. As the lending time increases, however, the disparity between the two types of interest calculations grows. Using the example above, at the end of 30 years, the total owed in interest is almost $700,000 on a $300,000 loan with a 4% interest rate. The following formula can be used to calculate compound interest: Compound interest = p X [(1 + interest rate)n − 1] where: p = principal n = number of compounding periods