What Is Aggregate Demand?

Aggregate demand is a measurement of the total amount of demand for all finished goods and services produced in an economy. Aggregate demand is commonly expressed as the total amount of money exchanged for those goods and services at a specific price level and point in time.

Understanding Aggregate Demand

Aggregate demand is a macroeconomic term and can be compared with the gross domestic product (GDP). GDP represents the total amount of goods and services produced in an economy while aggregate demand is the demand or desire for those goods. Aggregate demand and GDP commonly increase or decrease together.

Aggregate demand equals GDP only in the long run after adjusting for the price level. Short-run aggregate demand measures total output for a single nominal price level without adjusting for inflation. Other variations in calculations can occur depending on the methodologies used and the various components.

Aggregate demand consists of all consumer goods, capital goods, exports, imports, and government spending programs. All variables are considered equal if they trade at the same market value.

Aggregate Demand Components

Aggregate demand is determined by the overall collective spending on products and services by all economic sectors on the procurement of goods and services by four components:

Consumption Spending

Consumer spending represents the demand by individuals and households within the economy. While there are several factors in determining consumer demand, the most important is consumer incomes and the level of taxation.

Investment Spending

Investment spending represents businesses’ investment to support current output and increase production capability. It may include spending on new capital assets such as equipment, facilities, and raw materials.

Government Spending

Government spending represents the demand produced by government programs, such as infrastructure spending and public goods. This does not include services such as Medicare or social security, because these programs simply transfer demand from one group to another.

Net Exports

Net exports represent the demand for foreign goods, as well as the foreign demand for domestic goods. It is calculated by subtracting the total value of a country’s exports from the total value of all imports.

Aggregate Demand Formula

The equation for aggregate demand adds the amount of consumer spending, investment spending, government spending, and the net of exports and imports. The formula is shown as follows:

$\begin{aligned} &\text{Aggregate Demand} = \text{C} + \text{I} + \text{G} + \text{Nx} \\ &\textbf{where:}\\ &\text{C} = \text{Consumer spending on goods and services} \\ &\text{I} = \text{Private investment and corporate spending on} \\ &\text{non-final capital goods (factories, equipment, etc.)} \\ &\text{G} = \text{Government spending on public goods and social} \\ &\text{services (infrastructure, Medicare, etc.)} \\ &\text{Nx} = \text{Net exports (exports minus imports)} \\ \end{aligned}$​Aggregate Demand=C+I+G+Nxwhere:C=Consumer spending on goods and servicesI=Private investment and corporate spending onnon-final capital goods (factories, equipment, etc.)G=Government spending on public goods and socialservices (infrastructure, Medicare, etc.)Nx=Net exports (exports minus imports)​

The aggregate demand formula above is also used by the Bureau of Economic Analysis to measure GDP in the U.S.

What Affects Aggregate Demand?

Interest Rates

Interest rates affect decisions made by consumers and businesses. Lower interest rates will lower the borrowing costs for big-ticket items such as appliances, vehicles, and homes and companies will be able to borrow at lower rates, often leading to capital spending increases. Higher interest rates increase the cost of borrowing for consumers and companies and spending tends to decline or grow at a slower pace.

Income and Wealth

As household wealth increases, aggregate demand typically increases. Conversely, a decline in wealth usually leads to lower aggregate demand. When consumers are feeling good about the economy, they tend to spend more and save less.

Inflation Expectations

Consumers who anticipate that inflation will increase or prices will rise tend to make immediate purchases leading to rises in aggregate demand. But if consumers believe prices will fall in the future, aggregate demand typically falls.

Currency Exchange Rates

When the value of the U.S. dollar falls, foreign goods will become more expensive. Meanwhile, goods manufactured in the U.S. will become cheaper for foreign markets. Aggregate demand will, therefore, increase. When the value of the dollar increases, foreign goods are cheaper and U.S. goods become more expensive to foreign markets, and aggregate demand decreases.

Economic Conditions and Aggregate Demand

Economic conditions can impact aggregate demand whether those conditions originated domestically or internationally. The financial crisis of 2007-08, sparked by massive amounts of mortgage loan defaults, and the ensuing Great Recession, offer a good example of a decline in aggregate demand due to economic conditions.

With businesses suffering from less access to capital and fewer sales, they began to lay off workers and GDP growth contracted in 2008 and 2009, resulting in a total production contraction in the economy during that period. A poor-performing economy and rising unemployment led to a decline in personal consumption or consumer spending. Personal savings also surged as consumers held onto cash due to an uncertain future and instability in the banking system.

In 2020, the COVID-19 pandemic caused reductions in both aggregate supply or production, and aggregate demand or spending. Social distancing measures and concerns about the spread of the virus caused a significant decrease in consumer spending, particularly in services as many businesses closed. These dynamics lowered aggregate demand in the economy. As aggregate demand fell, businesses either laid off part of their workforces or otherwise slowed production as employees contracted COVID-19 at high rates.

Aggregate Demand vs. Aggregate Supply

In times of economic crises, economists often debate as to whether aggregate demand slowed, leading to lower growth, or GDP contracted, leading to less aggregate demand. Whether demand leads to growth or vice versa is economists’ version of the age-old question of what came first—the chicken or the egg.

Boosting aggregate demand also boosts the size of the economy regarding measured GDP. However, this does not prove that an increase in aggregate demand creates economic growth. Since GDP and aggregate demand share the same calculation, it only indicates that they increase concurrently. The equation does not show which is the cause and which is the effect.

Early economic theories hypothesized that production is the source of demand. The 18th-century French classical liberal economist Jean-Baptiste Say stated that consumption is limited to productive capacity and that social demands are essentially limitless, a theory referred to as Say’s Law of Markets.

Say’s law, the basis of supply-side economics, ruled until the 1930s and the advent of the theories of British economist John Maynard Keynes. By arguing that demand drives supply, Keynes placed total demand in the driver’s seat. Keynesian macroeconomists have since believed that stimulating aggregate demand will increase real future output and the total level of output in the economy is driven by the demand for goods and services and propelled by money spent on those goods and services.

Keynes considered unemployment to be a byproduct of insufficient aggregate demand because wage levels would not adjust downward fast enough to compensate for reduced spending. He believed the government could spend money and increase aggregate demand until idle economic resources, including laborers, were redeployed.

Other schools of thought, notably the Austrian School and real business cycle theorists stress consumption is only possible after production. This means an increase in output drives an increase in consumption, not the other way around. Any attempt to increase spending rather than sustainable production only causes maldistribution of wealth or higher prices, or both.

As a demand-side economist, Keynes further argued that individuals could end up damaging production by limiting current expenditures—by hoarding money, for example. Other economists argue that hoarding can impact prices but does not necessarily change capital accumulation, production, or future output. In other words, the effect of an individual’s saving money—more capital available for business—does not disappear on account of a lack of spending.

The Bottom Line

Aggregate demand is a concept of macroeconomics that represents the total demand within an economy for all kinds of goods and services at a certain price point. In the long term, aggregate demand is indistinguishable from GDP. However, aggregate demand is not a perfect metric and it is the subject of debate among economists.

What Is the Annual Percentage Yield (APY)?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. Unlike simple interest, compounding interest is calculated periodically and the amount is immediately added to the balance. With each period going forward, the account balance gets a little bigger, so the interest paid on the balance gets bigger as well.

Formula and Calculation of APY

APY standardizes the rate of return. It does this by stating the real percentage of growth that will be earned in compound interest assuming that the money is deposited for one year. The formula for calculating APY is:

Where:

• r = period rate 
• n = number of compounding periods

What Annual APY Can Tell You

Any investment is ultimately judged by its rate of return, whether it’s a certificate of deposit (CD), a share of stock, or a government bond. The rate of return is simply the percentage of growth in an investment over a specific period of time, usually one year. But rates of return can be difficult to compare across different investments if they have different compounding periods. One may compound daily, while another compounds quarterly or biannually.

Comparing rates of return by simply stating the percentage value of each over one year gives an inaccurate result, as it ignores the effects of compounding interest. It is critical to know how often that compounding occurs, since the more often a deposit compounds, the faster the investment grows. This is due to the fact that every time it compounds the interest earned over that period is added to the principal balance and future interest payments are calculated on that larger principal amount.

Comparing the APY on 2 Investments

Suppose you are considering whether to invest in a one-year zero-coupon bond that pays 6% upon maturity or a high-yield money market account that pays 0.5% per month with monthly compounding.

At first glance, the yields appear equal because 12 months multiplied by 0.5% equals 6%. However, when the effects of compounding are included by calculating the APY, the money market investment actually yields (1 + .005)^12 – 1 = 0.06168 = 6.17%.

APY vs. APR

APY is similar to the annual percentage rate (APR) used for loans. The APR reflects the effective percentage that the borrower will pay over a year in interest and fees for the loan. APY and APR are both standardized measures of interest rates expressed as an annualized percentage rate.

However, APY takes into account compound interest while APR does not. Furthermore, the equation for APY does not incorporate account fees, only compounding periods. That’s an important consideration for an investor, who must consider any fees that will be subtracted from an investment’s overall return.

Example of APY

If you deposited $100 for one year at 5% interest and your deposit was compounded quarterly, at the end of the year you would have $105.09. If you had been paid simple interest, you would have had $105.

The APY would be (1 + .05/4) * 4 – 1 = .05095 = 5.095%.

It pays 5% a year interest compounded quarterly, and that adds up to 5.095%. That’s not too dramatic. However, if you left that $100 for four years and it was being compounded quarterly then the amount your initial deposit would have grown to $121.99. Without compounding it would have been $120.

X = D(1 + r/n)n*y

= $100(1 + .05/4)4*4

= $100(1.21989)

= $121.99

where:

• X = Final amount
• D = Initial Deposit
• r = period rate 
• n = number of compounding periods per year
• y = number of years

Special Considerations

Compound Interest

The premise of APY is rooted in the concept of compounding or compound interest. Compound interest is the financial mechanism that allows investment returns to earn returns of their own.

Imagine investing $1,000 at 6% compounded monthly. At the start of your investment, you have $1,000.

After one month, your investment will have earned one month worth of interest at 6%. Your investment will now be worth $1,005 ($1,000 * (1 + .06/12)). At this point, we have not yet seen compounding interest.

After the second month, your investment will have earned a second month of interest at 6%. However, this interest is earned on both your initial investment as well as your $5 interest earned last month. Therefore, your return this month will be greater than last month because your investment basis will be higher. Your investment will now be worth $1,010.03 ($1,005 * (1 + .06/12)). Notice that the interest earned this second month is $5.03, different from the $5.00 from last month.

After the third month, your investment will earn interest on the $1,000, the $5.00 earned from the first month, and the $5.03 earned from the second month. This demonstrates the concept of compound interest: the monthly amount earned will continually increase as long as the APY doesn’t decrease and the investment principal is not reduced.

Variable APY vs. Fixed APY

Savings or checking accounts may have either a variable APY or fixed APY. A variable APY is one that fluctuates and changes with macroeconomic conditions, while a fixed APY does not change (or changes much less frequently). One type of APY isn’t necessarily better than the other. While locking into a fixed APY sounds appealing, consider periods when the Federal Reserve is raising rates and APYs increase each month.

Most checking, savings, and money market accounts have variable APYs, though some promotional bank accounts or bank account bonuses may have a higher fixed APY up to a specific level of deposits. For example. a bank may reward 5% APY on the first $500 deposited, then pay 1% APY on all other deposits.

APY and Risk

In general, investors are usually awarded higher yields when they take on greater risk or agree to make sacrifices. The same can be said regarding the APY of checking, saving, and certificate of deposits.

When a consumer holds money in a checking account, the consumer is asking to have their money on demand to pay for expenses. At a given notice, the consumer may need to pull out their debit card, buy groceries, and draw down their checking account. For this reason, checking accounts often have the lowest APY because there is no risk or sacrifice for the consumer.

When a consumer holds money in a savings account, the consumer may not have immediate need. The consumer may need to transfer funds to their checking account before it can be used. Alternatively, you cannot write checks from normal savings accounts. For this reason, savings accounts usually have higher APYs than checking accounts because consumers face greater limits with savings accounts.

Last, when consumers hold a certificate of deposit, the consumer is agreeing to sacrifice liquidity and access to funds in return for a higher APY. The consumer can’t use or spend the money in a CD (or they can after paying a penalty to break the CD). For this reason, the APY on a CD is highest of three as the consumer is being rewarded for sacrificing immediate access to their funds.

The Bottom Line

APY in banking is the actual rate of return you will earn on your checking or savings account. As opposed to simple interest calculations, APY considers the compounding effect of prior interest earned generating future returns. For this reason, APY will often be higher than simple interest, especially if the account compounds often.

What Is Average Life?

The average life is the length of time the principal of a debt issue is expected to be outstanding. Average life does not take into account interest payments, but only principal payments made on the loan or security. In loans, mortgages, and bonds, the average life is the average period of time before the debt is repaid through amortization or sinking fund payments.

Investors and analysts use the average life calculation to measure the risk associated with amortizing bonds, loans, and mortgage-backed securities. The calculation gives investors an idea of how quickly they can expect returns and provides a useful metric for comparing investment options. In general, most investors will choose to receive their financial returns earlier and will, therefore, choose the investment with the shorter average life.

Understanding Average Life

Also called the weighted average maturity and weighted average life, the average life is calculated to determine how long it will take to pay the outstanding principal of a debt issue, such as a Treasury Bill (T-Bill) or bond. While some bonds repay the principal in a lump sum at maturity, others repay the principal in installments over the term of the bond. In cases where the bond’s principal is amortized, the average life allows investors to determine how quickly the principal will be repaid.

The payments received are based on the repayment schedule of the loans backing the particular security, such as with mortgage-backed securities (MBS) and asset-backed securities (ABS). As borrowers make payments on the associated debt obligations, investors are issued payments reflecting a portion of these cumulative interest and principal payments.

Calculating the Average Life on a Bond

To calculate the average life, multiply the date of each payment (expressed as a fraction of years or months) by the percentage of total principal that has been paid by that date, add the results, and divide by the total issue size.

For example, assume an annual-paying four-year bond has a face value of $200 and principal payments of $80 during the first year, $60 for the second year, $40 during the third year, and $20 for the fourth (and final) year. The average life for this bond would be calculated with the following formula:

($80 x 1) + ($60 x 2) + ($40 x 3) + ($20 x 4) = 400

Then divide the weighted total by the bond face value to get the average life. In this example, the average life equals 2 years (400 divided by 200 = 2).

This bond would have an average life of two years against its maturity of four years.

Mortgage-Backed and Asset-Backed Securities

In the case of an MBS or ABS, the average life represents the average length of time required for the associated borrowers to repay the loan debt. An investment in an MBS or ABS involves purchasing a small portion of the associated debt that is packaged within the security.

The risk associated with an MBS or ABS centers on whether the borrower associated with the loan will default. If the borrower fails to make a payment, the investors associated with the security will experience losses. In the financial crisis of 2008, a large number of defaults on home loans, particularly in the subprime market, led to significant losses in the MBS arena.

Special Considerations

While certainly not as dire as default risk, another risk bond investors face is prepayment risk. This occurs when the bond issuer (or the borrower in the case of mortgage-backed securities) pays back the principal earlier than scheduled. These prepayments will reduce the average life of the investment. Because the principal is paid back early, the investor will not receive future interest payments on that part of the principal.

This interest reduction can represent an unexpected challenge for investors of fixed-income securities dependent on a reliable stream of income. For this reason, some bonds with payment risk include prepayment penalties.

What Is Annuity Due?

An annuity due is an annuity whose payment is due immediately at the beginning of each period. A common example of an annuity due payment is rent, as landlords often require payment upon the start of a new month as opposed to collecting it after the renter has enjoyed the benefits of the apartment for an entire month.

How Annuity Due Works

An annuity due requires payments made at the beginning, as opposed to the end, of each annuity period. Annuity due payments received by an individual legally represent an asset. Meanwhile, the individual paying the annuity due has a legal debt liability requiring periodic payments.

Because a series of annuity due payments reflect a number of future cash inflows or outflows, the payer or recipient of the funds may wish to calculate the entire value of the annuity while factoring in the time value of money. One can accomplish this by using present value calculations.

A present value table for an annuity due has the projected interest rate across the top of the table and the number of periods as the left-most column. The intersecting cell between the appropriate interest rate and the number of periods represents the present value multiplier. Finding the product between one annuity due payment and the present value multiplier yields the present value of the cash flow.

A whole life annuity due is a financial product sold by insurance companies that require annuity payments at the beginning of each monthly, quarterly, or annual period, as opposed to at the end of the period. This is a type of annuity that will provide the holder with payments during the distribution period for as long as they live. After the annuitant passes on, the insurance company retains any funds remaining.

Annuity Due vs. Ordinary Annuity

An annuity due payment is a recurring issuance of money upon the beginning of a period. Alternatively, an ordinary annuity payment is a recurring issuance of money at the end of a period. Contracts and business agreements outline this payment, and it is based on when the benefit is received. When paying for an expense, the beneficiary pays an annuity due payment before receiving the benefit, while the beneficiary makes ordinary due payments after the benefit has occurred.

The timing of an annuity payment is critical based on opportunity costs. The collector of the payment may invest an annuity due payment collected at the beginning of the month to generate interest or capital gains. This is why an annuity due is more beneficial for the recipient as they have the potential to use funds faster. Alternatively, individuals paying an annuity due lose out on the opportunity to use the funds for an entire period. Those paying annuities thus tend to prefer ordinary annuities.

Examples of Annuity Due

An annuity due may arise due to any recurring obligation. Many monthly bills, such as rent, car payments, and cellphone payments, are annuities due because the beneficiary must pay at the beginning of the billing period. Insurance expenses are typically annuities due as the insurer requires payment at the start of each coverage period. Annuity due situations also typically arise relating to saving for retirement or putting money aside for a specific purpose.

How to Calculate the Value of an Annuity Due

The present and future values of an annuity due can be calculated using slight modifications to the present value and future value of an ordinary annuity.

Present Value of an Annuity Due

The present value of an annuity due tells us the current value of a series of expected annuity payments. In other words, it shows what the future total to be paid is worth now.

Calculating the present value of an annuity due is similar to calculating the present value of an ordinary annuity. However, there are subtle differences to account for when annuity payments are due. For an annuity due, payments are made at the beginning of the interval, and for an ordinary annuity, payments are made at the end of a period. The formula for the present value of an annuity due is:

With:

• C = Cash flows per period
• i = interest rate
• n = number of payments

Let’s look at an example of the present value of an annuity due. Suppose you are a beneficiary designated to immediately receive $1000 each year for 10 years, earning an annual interest rate of 3%. You want to know how much the stream of payments is worth to you today. Based on the present value formula, the present value is $8,786.11.

Future Value of an Annuity Due

The future value of an annuity due shows us the end value of a series of expected payments or the value at a future date.

Just as there are differences in how the present value is calculated for an ordinary annuity and an annuity due, there are also differences in how the future value of money is calculated for an ordinary annuity and an annuity due. The future value of an annuity due is calculated as:

Using the same example, we calculate that the future value of the stream of income payments to be $11,807.80.

Annuity Due FAQs

Which Is Better, Ordinary Annuity or Annuity Due?

Whether an ordinary annuity or an annuity due is better depends on whether you are the payee or payer. As a payee, an annuity due is often preferred because you receive payment up front for a specific term, allowing you to use the funds immediately and enjoy a higher present value than that of an ordinary annuity. As a payer, an ordinary annuity might be favorable as you make your payment at the end of the term, rather than the beginning. You are able to use those funds for the entire period before paying.

Often, you are not afforded the option to choose. For example, insurance premiums are an example of an annuity due, with premium payments due at the beginning of the covered period. A car payment is an example of an ordinary annuity, with payments due at the end of the covered period.

What Is an Immediate Annuity?

An immediate annuity is an account, funded with a lump sum deposit, that generates an immediate stream of income payments. The income can be for a stated amount (e.g., $1,000/month), a stated period (e.g., 10 years), or a lifetime.

How Do You Calculate the Future Value of an Annuity Due?

The future value of an annuity due is calculated using the formula:

where

• C = cash flows per period
• i = interest rate
• n = number of payments

What Does Annuity Mean?

An annuity is an insurance product designed to generate payments immediately or in the future to the annuity owner or a designated payee. The account holder either makes a lump sum payment or a series of payments into the annuity and can either receive an immediate stream of income or defer receiving payments until some time in the future, usually after an accumulation period where the account earns interest tax-deferred.

What Happens When an Annuity Expires?

Once an annuity expires, the contract terminates and no future payments are made. The contractual obligation is fulfilled, with no further duties owed from either party.

The Bottom Line

An annuity due is an annuity with payment due or made at the beginning of the payment interval. In contrast, an ordinary annuity generates payments at the end of the period. As a result, the method for calculating the present and future values differ. A common example of an annuity due is rent payments made to a landlord, and a common example of an ordinary annuity includes mortgage payments made to a lender. Depending on whether you are the payer or payee, the annuity due might be a better option.