What Is an Amortized Loan?

An amortized loan is a type of loan with scheduled, periodic payments that are applied to both the loan’s principal amount and the interest accrued. An amortized loan payment first pays off the relevant interest expense for the period, after which the remainder of the payment is put toward reducing the principal amount. Common amortized loans include auto loans, home loans, and personal loans from a bank for small projects or debt consolidation.

How an Amortized Loan Works

The interest on an amortized loan is calculated based on the most recent ending balance of the loan; the interest amount owed decreases as payments are made. This is because any payment in excess of the interest amount reduces the principal, which in turn, reduces the balance on which the interest is calculated. As the interest portion of an amortized loan decreases, the principal portion of the payment increases. Therefore, interest and principal have an inverse relationship within the payments over the life of the amortized loan.

An amortized loan is the result of a series of calculations. First, the current balance of the loan is multiplied by the interest rate attributable to the current period to find the interest due for the period. (Annual interest rates may be divided by 12 to find a monthly rate.) Subtracting the interest due for the period from the total monthly payment results in the dollar amount of principal paid in the period.

The amount of principal paid in the period is applied to the outstanding balance of the loan. Therefore, the current balance of the loan, minus the amount of principal paid in the period, results in the new outstanding balance of the loan. This new outstanding balance is used to calculate the interest for the next period.

Amortized Loans vs. Balloon Loans vs. Revolving Debt (Credit Cards)

While amortized loans, balloon loans, and revolving debt–specifically credit cards–are similar, they have important distinctions that consumers should be aware of before signing up for one.

Amortized Loans

Amortized loans are generally paid off over an extended period of time, with equal amounts paid for each payment period. However, there is always the option to pay more, and thus, further reduce the principal owed.

Balloon Loans

Balloon loans typically have a relatively short term, and only a portion of the loan’s principal balance is amortized over that term. At the end of the term, the remaining balance is due as a final repayment, which is generally large (at least double the amount of previous payments).

Revolving Debt (Credit Cards) 

Credit cards are the most well-known type of revolving debt. With revolving debt, you borrow against an established credit limit. As long as you haven’t reached your credit limit, you can keep borrowing. Credit cards are different than amortized loans because they don’t have set payment amounts or a fixed loan amount.

Example of an Amortization Loan Table

The calculations of an amortized loan may be displayed in an amortization table. The table lists relevant balances and dollar amounts for each period. In the example below, each period is a row in the table. The columns include the payment date, principal portion of the payment, interest portion of the payment, total interest paid to date, and ending outstanding balance. The following table excerpt is for the first year of a 30-year mortgage in the amount of $165,000 with an annual interest rate of 4.5%

What Is a 125% Loan?

A 125% loan is a type of leveraged loan, typically a mortgage used to refinance a home, which allows a homeowner to borrow an amount equal to 125% of their property’s appraised value.

For example, if a home is worth $300,000, then a 125% loan would give the borrower access to $375,000 in funds.

How a 125% Loan Works

In financing terminology, a 125% loan has a loan-to-value (LTV) ratio of 125%. The LTV ratio, which compares the size of a loan relative to the appraised value of the property that serves as security, is used by lenders to judge a loan’s default risk. A 125% loan is considered riskier than one with an LTV ratio of less than 100%. In fact, with conventional mortgages, the loan size does not typically exceed 80% of a property’s value.

Therefore, according to the risk-based pricing method used by lenders, a loan with an LTV ratio of 125% will carry a higher interest rate than one with a lower LTV ratio—as much as double, in some instances.

Using a 125% Loan for Refinancing

Homeowners who take out a 125% loan usually do so when refinancing their homes to gain access to more cash than they would have available from their home equity. Their motive might be to use the loan to pay off other debts that carry even higher interest rates, such as credit cards.

But because 125% loans have high interest rates and may also have additional fees, anyone who is considering one should plan to shop around for the best terms they can get.

If your goal is to obtain cash to pay off other debt, and you are unable to qualify for a 125% loan (or you decide that you simply don’t want one), then you might still consider a home equity loan. You won’t get as much cash out of it, but the interest rate is likely to be considerably lower, and you can use it to pay off at least a portion of your high-interest debt. Another option would be to do a cash-out refinance.

Advantages and Disadvantages of 125% Loans

The advantage of a 125% loan is that it can allow a homeowner, especially one who has not accumulated too much home equity or whose property has actually declined in value, to obtain more cash than they otherwise could.

The disadvantage—to borrower and lender alike—is the added risk compared with a smaller loan. The borrower will be on the hook for more debt, and the lender will face added risk in case of a default. If the borrower does default, the lender can foreclose on the property and sell it, but the lender is very unlikely to get all of its money back.

History of 125% Loans

The 125% loans first became popular during the 1990s, in some cases geared toward low-risk borrowers with high credit scores who wanted to borrow more than their available home equity. Along with other factors, 125% loans played a role in the 2007–08 housing crisis. The crash of real estate markets around the country, kicked off by the subprime mortgage meltdown, left many people “underwater”—that is, they owed more money on their mortgage than their home was actually worth.

As home values dropped, some homeowners who wanted to refinance found that they no longer had enough equity in their homes to qualify for a new loan. Moreover, they could not recoup their losses even if they managed to sell the home.

The now-expired federal Home Affordable Refinance Program (HARP) was introduced in March 2009 as a way to offer relief. It allowed homeowners whose homes were underwater, but who were otherwise in good standing and current with their mortgages, to apply for refinancing. Through HARP, homeowners who owed up to 125% of the value of their homes could refinance at lower rates to help them pay off their debts and get on sounder financial footing.

Originally, homeowners who owed more than that percentage could not apply. But eventually, even the 125% LTV ceiling was removed, allowing still more homeowners to apply for HARP loans. After being extended several times, HARP ended in December 2018.

What Is an Amortization Schedule?

Amortizing loans feature level payment amounts over the life of the loan, but with varying proportions of interest and principal making up each payment. A traditional mortgage is a prime example of such a loan.

A loan amortization schedule represents the complete table of periodic loan payments, showing the amount of principal and interest that comprise each level payment until the loan is paid off at the end of its term. Early in the schedule, the majority of each payment goes toward interest; later in the schedule, the majority of each payment begins to cover the loan’s remaining principal.

Understanding an Amortization Schedule

If you are taking out a mortgage or auto loan, your lender should provide you with a copy of your loan amortization schedule so you can see at a glance what the loan will cost and how the principal and interest will be broken down over its life.

In a loan amortization schedule, the percentage of each payment that goes toward interest diminishes a bit with each payment and the percentage that goes toward principal increases. Take, for example, a loan amortization schedule for a $165,000, 30-year fixed-rate mortgage with a 4.5% interest rate:

Amortization schedules can be customized based on your loan and your personal circumstances. With more sophisticated amortization calculators, like the templates you can find in Excel you can compare how making accelerated payments can accelerate your amortization. If for example, you are expecting an inheritance, or you get a set yearly bonus, you can use these tools to compare how applying that windfall to your debt can affect your loan’s maturity date and your interest cost over the life of the loan.

In addition to mortgages, car loans and personal loans are also amortizing for a term set in advance, at a fixed interest rate with a set monthly payment. The terms vary depending on the asset. Most conventional home loans are 15- or 30-year terms. Car owners often get an auto loan that will be repaid over five years or less. For personal loans, three years is a common term.

Formulas Used in Amortization Schedules

Borrowers and lenders use amortization schedules for installment loans that have payoff dates that are known at the time the loan is taken out, such as a mortgage or a car loan. There are specific formulas that are used to develop a loan amortization schedule. These formulas may be built into the software you are using, or you may need to set up your amortization schedule from scratch.

If you know the term of a loan and the total periodic payment amount, there is an easy way to calculate a loan amortization schedule without resorting to the use of an online amortization schedule or calculator. The formula to calculate the monthly principal due on an amortized loan is as follows:

Principal Payment = Total Monthly Payment – [Outstanding Loan Balance x (Interest Rate / 12 Months)]

To illustrate, imagine a loan has a 30-year term, a 4.5% interest rate, and a monthly payment of $1,266.71. Starting in month one, multiply the loan balance ($250,000) by the periodic interest rate. The periodic interest rate is one-twelfth of 4.5% (or 0.00375), so the resulting equation is $250,000 x 0.00375 = $937.50. The result is the first month’s interest payment. Subtract that amount from the periodic payment ($1,266.71 – $937.50) to calculate the portion of the loan payment allocated to the principal of the loan’s balance ($329.21).

To calculate the next month’s interest and principal payments, subtract the principal payment made in month one ($329.21) from the loan balance ($250,000) to get the new loan balance ($249,670.79), and then repeat the steps above to calculate which portion of the second payment is allocated to interest and which is allocated to the principal. You can repeat these steps until you have created an amortization schedule for the full life of the loan.

An Easier Way to Calculate an Amortization Schedule

Calculating an amortization schedule is as simple as entering the principal, interest rate, and loan term into a loan amortization calculator. But you can also calculate it by hand if you know the rate on the loan, the principal amount borrowed, and the loan term.

How to Calculate the Total Monthly Payment

Typically, the total monthly payment is specified by your lender when you take out a loan. However, if you are attempting to estimate or compare monthly payments based on a given set of factors, such as loan amount and interest rate, you may need to calculate the monthly payment as well.

If you need to calculate the total monthly payment for any reason, the formula is as follows:

Total Monthly Payment = Loan Amount [ i (1+i) ^ n / ((1+i) ^ n) – 1) ]

where:

• i = monthly interest rate. You’ll need to divide your annual interest rate by 12. For example, if your annual interest rate is 6%, your monthly interest rate will be .005 (.06 annual interest rate / 12 months).
• n = number of payments over the loan’s lifetime. Multiply the number of years in your loan term by 12. For example, a 30-year mortgage loan would have 360 payments (30 years x 12 months).

Using the same example from above, we will calculate the monthly payment on a $250,000 loan with a 30-year term and a 4.5% interest rate. The equation gives us $250,000 [(0.00375 (1.00375) ^ 360) / ((1.00375) ^ 360) – 1) ] = $1,266.71. The result is the total monthly payment due on the loan, including both principal and interest charges.

30-Year vs. 15-Year Amortization Table

If a borrower chooses a shorter amortization period for their mortgage—for example, 15 years—they will save considerably on interest over the life of the loan, and they will own the house sooner. That’s because they’ll make fewer payments for which interest will be amortized. Additionally, interest rates on shorter-term loans are often at a discount compared to longer-term loans.

There is a tradeoff, however. A shorter amortization window increases the monthly payment due on the loan. Short amortization mortgages are good options for borrowers who can handle higher monthly payments without hardship; they still involve making 180 sequential payments (15 years x 12 months).

It’s important to consider whether or not you can maintain that level of payment based on your current income and budget.

Using an amortization calculator can help you compare loan payments against potential interest savings for a shorter amortization to decide which option suits you best. Here’s what a $500,000 loan with a 6% interest rate would look like, with a hypothetical 30-year and 15-year schedule to compare:

What is an Autonomous Expenditure?

An autonomous expenditure describes the components of an economy’s aggregate expenditure that are not impacted by that same economy’s real level of income. This type of spending is considered automatic and necessary, whether occurring at the government level or the individual level. The classical economic theory states that any rise in autonomous expenditures will create at least an equivalent rise in aggregate output, such as GDP, if not a greater increase.

Understanding Autonomous Expenditure

An autonomous expenditure obligation must be met regardless of income. It is considered independent in nature, as the need does not vary with incomes. Often, these expenses are associated with the ability to maintain a state of autonomy. Autonomy, in regard to nations, includes the ability to be self-governing. For individuals, it refers to the ability to function within a certain level of societally acceptable independence.

To be considered an autonomous expenditure, the spending must generally be deemed necessary to maintain a base level of function or, in an individual sense, survival. Often, these expenses do not vary regardless of personal disposable income or national income. Autonomous expenditure is tied to autonomous consumption, including all of the financial obligations required to maintain a basic standard of living. All expenses beyond these are considered part of induced consumption, which is affected by changes in disposable income.

In cases in which personal income is insufficient, autonomous expenses still must be paid. These needs can be met through the use of personal savings, consumer borrowing mechanisms such as loans and credit cards, or various social services.

Autonomous Expenditures and Income Levels

While the obligations that qualify as autonomous expenditures do not vary, the amount of income directed toward them can. For example, in an individual sense, the need for food qualifies as an autonomous expenditure, though the need can be fulfilled in a variety of manners, ranging from the use of food stamps to eating every meal at a five-star restaurant. Even though income level may affect how the need is met, the need itself does not change.

Governments and Autonomous Expenditures

The vast majority of government spending qualifies as autonomous expenditures. This is due to the fact that the spending often relates strongly to the efficient running of a nation, making some of the expenditures required in order to maintain minimum standards.

Factors Affecting Autonomous Expenditures

Technically, autonomous expenditures are not affected by external factors. In reality, however, several factors can affect autonomous expenditures. For example, interest rates have a significant effect on consumption in an economy. High interest rates can tamp down on consumption while low interest rates can spur it. In turn, this affects spending within an economy.

Trade policies between countries can also affect autonomous expenditures made by their citizens. If a producer of cheap goods imposes duties on exports, then it would have the effect of making finished products for outside geographies more expensive. Governments can also impose controls on an individual’s autonomous expenditures through taxes. If a basic household good is taxed and no substitutes are available, then the autonomous expenditure pertaining to it may decrease.

Examples of Autonomous Expenditure

Some of the spending classes that are considered independent of income levels, which can be counted as either individual income or taxation income, are government expenditures, investments, exports, and basic living expenses such as food and shelter.