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 an Asset Swap?

An asset swap is similar in structure to a plain vanilla swap with the key difference being the underlying of the swap contract. Rather than regular fixed and floating loan interest rates being swapped, fixed and floating assets are being exchanged.

All swaps are derivative contracts through which two parties exchange financial instruments. These instruments can be almost anything, but most swaps involve cash flows based on a notional principal amount agreed upon by both parties. As the name suggests, asset swaps involve an actual asset exchange instead of just cash flows.

Swaps do not trade on exchanges, and retail investors do not generally engage in swaps. Rather, swaps are over-the-counter (OTC) contracts between businesses or financial institutions.

Understanding an Asset Swap

Asset swaps can be used to overlay the fixed interest rates of bond coupons with floating rates. In that sense, they are used to transform cash flow characteristics of underlying assets and transforming them to hedge the asset’s risks, whether related to currency, credit, and/or interest rates.

Typically, an asset swap involves transactions in which the investor acquires a bond position and then enters into an interest rate swap with the bank that sold them the bond. The investor pays fixed and receives floating. This transforms the fixed coupon of the bond into a LIBOR-based floating coupon.

It is widely used by banks to convert their long-term fixed rate assets to a floating rate in order to match their short-term liabilities (depositor accounts).

Another use is to insure against loss due to credit risk, such as default or bankruptcy, of the bond’s issuer. Here, the swap buyer is also buying protection.

The Process of an Asset Swap 

Whether the swap is to hedge interest rate risk or default risk, there are two separate trades that occur.

First, the swap buyer purchases a bond from the swap seller in return for a full price of par plus accrued interest (called the dirty price).

Next, the two parties create a contract where the buyer agrees to pay fixed coupons to the swap seller equal to the fixed rate coupons received from the bond. In return, the swap buyer receives variable rate payments of LIBOR plus (or minus) an agreed-upon fixed spread. The maturity of this swap is the same as the maturity of the asset.

The mechanics are the same for the swap buyer wishing to hedge default or some other event risk. Here, the swap buyer is essentially buying protection and the swap seller is also selling that protection.

As before, the swap seller (protection seller) will agree to pay the swap buyer (protection buyer) LIBOR plus (or minus) a spread in return for the cash flows of the risky bond (the bond itself does not change hands). In the event of default, the swap buyer will continue to receive LIBOR plus (or minus) the spread from the swap seller. In this way, the swap buyer has transformed its original risk profile by changing both its interest rate and credit risk exposure.

How Is the Spread of an Asset Swap Calculated?

There are two components used in calculating the spread for an asset swap. The first one is the value of coupons of underlying assets minus par swap rates. The second component is a comparison between bond prices and par values to determine the price that the investor has to pay over the lifetime of the swap. The difference between these two components is the asset swap spread paid by the protection seller to the swap buyer.

Example of an Asset Swap

Suppose an investor buys a bond at a dirty price of 110% and wants to hedge the risk of a default by the bond issuer. She contacts a bank for an asset swap. The bond’s fixed coupons are 6% of par value. The swap rate is 5%. Assume that the investor has to pay 0.5% price premium during the swap’s lifetime. Then the asset swap spread is 0.5% (6 – 5 – 0.5). Hence the bank pays the investor LIBOR rates plus 0.5% during the swap’s lifetime.

Investopedia does not provide tax, investment, or financial services and advice. The information is presented without consideration of the investment objectives, risk tolerance, or financial circumstances of any specific investor and might not be suitable for all investors. Investing involves risk, including the possible loss of principal.

Who Is Alan Greenspan?

Alan Greenspan is an American economist who was the chair of the Board of Governors of the Federal Reserve (Fed), the United States’ central bank, from 1987 until 2006. In that role, he also served as the chair of the Federal Open Market Committee (FOMC), which is the Fed’s principal monetary policymaking committee that makes decisions on interest rates and managing the U.S. money supply.

Greenspan is best known for largely presiding over the Great Moderation, a period of relatively stable inflation and macroeconomic growth, that lasted from the mid-1980s to the financial crisis in 2007.

Early Life and Education

Alan Greenspan was born in New York City on March 6, 1926. He received his bachelor’s, master’s, and doctoral degrees in economics, all from New York University, as well as studying economics at Columbia University in the early 1950s under Arthur Burns, who would later serve two consecutive terms as chair of the Board of Governors of the Fed.

Greenspan’s first job, in 1948, was not in government but for a non-profit analyzing demand for steel, aluminum, and copper. After this, Greenspan ran an economic consulting firm in New York City, Townsend-Greenspan & Co., Inc., from 1954 to 1974 and 1977 to 1987. Greenspan began his career in the public sector in 1974 when he served as chair of the President’s Council of Economic Advisers (CEA) under President Gerald Ford.

In 1987, Greenspan became the 13th chair of the Fed, replacing Paul Volcker. President Ronald Reagan was the first to appoint Greenspan to the office, but three other presidents, George H.W. Bush, Bill Clinton, and George W. Bush, named him to four additional terms. His tenure as chair lasted for more than 18 years before he retired in 2006 to be replaced by Ben Bernanke. After leaving, he published his memoir, The Age of Turbulence, and began his own Washington DC-based consulting firm, Greenspan Associates LLC. 

Alan Greenspan was known as being adept at gaining consensus among Fed board members on policy issues and for serving during one of the most severe economic crises of the late 20th century, the aftermath of the stock market crash of 1987. After that crash, he advocated for sharply slashing interest rates to prevent the economy from sinking into a deep depression.

Alan Greenspan’s Policies and Actions

Greenspan presided over one of the most prosperous periods in American history—thanks in no small part, supporters feel, to his helming of the Fed. Still, some of his policies and actions were controversial, either at the time or in retrospect.

Views on Inflation

Early in his career, Greenspan developed a reputation for being hawkish on inflation, in part due to his advocacy for a return to the gold standard in monetary policy in the 1967 essay “Gold and Economic Freedom.” 

His allegedly “hawkish” stance was portrayed by early critics as a preference for sacrificing economic growth in exchange for preventing inflation. Greenspan eventually reversed those views as Fed chief; in a 1998 speech, he conceded that the new economy might not be as susceptible to inflation as he had first thought.

In practice, Greenspan’s supposedly hawkish approach was flexible, to say the least. He was clearly willing to risk inflation under conditions that could create a severe depression and certainly pursued a generally easy money policy relative to his predecessor, Paul Volcker. In particular, in the early 2000s, Greenspan presided over cutting interest rates to levels not seen in many decades.

Flip-Flop on Interest Rates

In 2000, Greenspan advocated reducing interest rates after the dot-com bubble burst. He did so again in 2001 after 9-11, the World Trade Center attack. Following 9-11, Greenspan led the FOMC to immediately reduce the Fed funds rate from 3.5% to 3%, and, in the following months, he worked toward lowering that rate to a record (at the time) low of 1.13% and holding it there for a full year.

Some criticized those rate cuts as having the potential to inflate asset price bubbles in the U.S. Greenspan’s pro-inflationary policies, particularly during this period, are today generally understood to have contributed to the U.S. housing bubble, subsequent subprime mortgage financial crisis, and the Great Recession, though this is of course disputed by Greenspan and his allies.

Encouraging Adjustable-Rate Mortgages

In a 2004 speech, Greenspan suggested more homeowners should consider taking out adjustable-rate mortgages (ARMs) where the interest rate adjusts itself to prevailing market interest rates. Under Greenspan’s tenure, interest rates subsequently rose as inflation accelerated. This increase reset many of those mortgages to much higher payments, creating even more distress for many homeowners and exacerbating the impact of that crisis.

The “Greenspan Put”

The “Greenspan put” was a monetary policy strategy popular during the 1990s and 2000s under Greenspan. Throughout his reign, he attempted to help support the U.S. economy by actively using the federal funds rate to aggressively lower interest rates to fight the deflation of asset price bubbles.

The Greenspan put created a substantial moral hazard in financial markets. Informed investors could expect the Fed to take predictable actions that would bailout investor’s losses, which distort the incentives of market participants. This created an environment where investors were encouraged to take excessive risk because Fed monetary policy tended to inherently limit their potential losses in the event of a market downturn in an analogous way to buying put options on the open market.

The Bottom Line

Like many other government officials, the success of Alan Greenspan’s five terms as Chair of the Fed will depend on who you ask. However, it is certainly true that Greenspan faced some massive challenges during his tenure, such as the 1987 stock market crash and the attacks on the World Trade Center.

Overall, Greenspan helped usher in a strong U.S. economy in the 1990s. Opinion on how much his actions caused the economic recession that began shortly after his term ended varies.

What Is a 10-Year Treasury Note?

The 10-year Treasury note is a debt obligation issued by the United States government with a maturity of 10 years upon initial issuance. A 10-year Treasury note pays interest at a fixed rate once every six months and pays the face value to the holder at maturity. The U.S. government partially funds itself by issuing 10-year Treasury notes.

Understanding 10-Year Treasury Notes

The U.S. government issues three different types of debt securities to fund its obligations: Treasury bills, Treasury notes, and Treasury bonds. Bills, bonds, and notes are distinguished by their length of maturity.

Treasury bills (T-bills) have the shortest maturities, with durations only up to a year. The Treasury offers T-bills with maturities of four, eight, 13, 26, and 52 weeks. Treasury notes have maturities ranging from a year to 10 years, while bonds are Treasury securities with maturities longer than 10 years.

Treasury notes and bonds pay interest at a fixed rate every six months to maturity, and are then redeemed at par value, meaning the Treasury repays the principal it borrowed.

In contrast, T-bills are issued at discounts to par and pay no coupon payments. The interest earned on T-bills is the difference between the face value repaid at maturity and the purchase price paid.

The 10-Year Note Yield as a Benchmark

The 10-year T-note is the most widely tracked government debt instrument in finance. Its yield is often used as a benchmark for other interest rates, like those on mortgages and corporate debt, though commercial interest rates do not track the 10-year yield exactly.

Below is a chart of the 10-year Treasury yield from March 2019 to March 2020. Over that span, the yield steadily declined with expectations that the Federal Reserve would maintain low interest rates or cut them further. In late February 2020, the decline in yield accelerated amid growing concerns about the economic effects of the COVID-19 pandemic. As the Fed ordered an emergency rate cut of 50 basis points in early March, the decline of the 10-year yield accelerated even further, with the yield dropping to 0.32%, a record low, before rebounding.

The Advantages of Investing in Treasury Notes

Fixed-income securities offer important portfolio diversification benefits, because their returns are not correlated with the performance of stocks.

Government debt and the 10-year Treasury note in particular is considered a relatively safe investment, so its price often (but not always) moves inversely to the trend of the major stock-market indices. In a recession, central banks tend to lower interest rates, which lowers the coupon rate on new Treasuries and, subsequently, makes older Treasury securities with higher coupon rates more desirable.

Another advantage of investing in 10-year Treasury notes and other federal government securities is that the coupon payments are exempt from state and local income taxes. However, they are still taxable at the federal level. The U.S. Treasury sells 10-year notes and those with shorter maturities, as well as T-bills and bonds, directly through the TreasuryDirect website via competitive or noncompetitive bidding, with a minimum purchase of $100 and in $100 increments. Treasury securities can also be purchased through a bank or broker.

Investors can choose to hold Treasury notes until maturity or sell them early in the secondary market. There is no minimum holding term. Although the Treasury issues new T-notes of shorter maturities every month, new 10-year notes are issued only in February, May, August, and November. In other months, the Treasury sells additional 10-year notes from the most recent issue in what is known as a re-opening. Re-opened notes have the same maturity date and coupon interest rate as the original issue, but a different issue date and a purchase price reflecting subsequent change in market interest rates.

All T-notes are issued electronically, meaning investors cannot obtain paper certificates. Series I Savings Bonds are the only Treasury securities currently issued in paper form, and they can only be bought in paper form with the proceeds of a tax refund.