What Is Annualization?

To annualize a number means to convert a short-term calculation or rate into an annual rate. Typically, an investment that yields a short-term rate of return is annualized to determine an annual rate of return, which may also include compounding or reinvestment of interest and dividends. It helps to annualize a rate of return to better compare the performance of one security versus another.

Annualization is a similar concept to reporting financial figures on an annual basis.

Understanding Annualization

When a number is annualized, it’s usually for rates of less than one year in duration. If the yield being considered is subject to compounding, annualization will also account for the effects of compounding. Annualizing can be used to determine the financial performance of an asset, security, or company.

When a number is annualized, the short-term performance or result is used to forecast the performance for the next twelve months or one year. Below are a few of the most common examples of when annualizing is utilized.

Company Performance

An annualized return is similar to a run rate, which refers to the financial performance of a company based on current financial information as a predictor of future performance. The run rate functions as an extrapolation of current financial performance and assumes that current conditions will continue.

Loans

The annualized cost of loan products is often expressed as an annual percentage rate (APR). The APR considers every cost associated with the loan, such as interest and origination fees, and converts the total of these costs to an annual rate that is a percentage of the amount borrowed.

Loan rates for short-term borrowings can be annualized as well. Loan products including payday loans and title loans, charge a flat finance fee such as $15 or $20 to borrow a nominal amount for a few weeks to a month. On the surface, the $20 fee for one month doesn’t appear to be exorbitant. However, annualizing the number equates to $240 and could be extremely large relative to the loan amount.

Tax Purposes

Taxpayers annualize by converting a tax period of less than one year into an annual period. The conversion helps wage earners establish an effective tax plan and manage any tax implications.

For example, taxpayers can multiply their monthly income by 12 months to determine their annualized income. Annualizing income can help taxpayers estimate their effective tax rate based on the calculation and can be helpful in budgeting their quarterly taxes.

Example: Investments

Investments are annualized frequently. Let’s say a stock returned 1% in one month in capital gains on a simple (not compounding) basis. The annualized rate of return would be equal to 12% because there are 12 months in one year. In other words, you multiply the shorter-term rate of return by the number of periods that make up one year. A monthly return would be multiplied by 12 months.

However, let’s say an investment returned 1% in one week. To annualize the return, we’d multiply the 1% by the number of weeks in one year or 52 weeks. The annualized return would be 52%.

Quarterly rates of return are often annualized for comparative purposes. A stock or bond might return 5% in Q1. We could annualize the return by multiplying 5% by the number of periods or quarters in a year. The investment would have an annualized return of 20% because there are four quarters in one year or (5% * 4 = 20%).

Special Considerations and Limitations of Annualizing

The annualized rate of return or forecast is not guaranteed and can change due to outside factors and market conditions. Consider an investment that returns 1% in one month; the security would return 12% on an annualized basis. However, the annualized return of a stock cannot be forecasted with a high degree of certainty using the stock’s short-term performance.

There are many factors that could impact a stock’s price throughout the year such as market volatility, the company’s financial performance, and macroeconomic conditions. As a result, fluctuations in the stock price would make the original annualized forecast incorrect. For example, a stock might return 1% in month one and return -3% the following month.

What Is an Ad Valorem Tax?

An ad valorem tax is a tax based on the assessed value of an item, such as real estate or personal property. The most common ad valorem taxes are property taxes levied on real estate. However, ad valorem taxes may also extend to a number of tax applications, such as import duty taxes on goods from abroad.

How Ad Valorem Tax Works

The Latin phrase ad valorem means “according to value.” All ad valorem taxes are levied based on the determined value of the item being taxed. In the most common application of ad valorem taxes, which are municipal property taxes, the real estate of property owners is periodically assessed by a public tax assessor to determine its current value. The assessed value of the property is used to compute a tax annually levied on the property owner by a municipality or other government entity.

Ad valorem taxes, which are based on ownership of a real asset, can be looked at in contrast to transactional taxes, such as sales taxes. While ad valorem taxes are determined and levied annually, transactional taxes are only levied at the time of a transaction.

How Ad Valorem Taxes Are Levied

Property ad valorem taxes are usually levied by a municipality but may also be levied by other local government entities, such as counties, school districts, or special taxing districts, also known as special purpose districts. Property owners may be subject to ad valorem taxes levied by more than one entity; for example, both a municipality and a county.

Ad valorem property taxes are typically a major, if not the major, revenue source for both state and municipal governments, and municipal property ad valorem taxes are commonly referred to as simply “property taxes.”

Determining Tax Values

Tax assessments for the purpose of determining ad valorem taxes are typically calculated as of January 1 each year. Ad valorem taxes represent a percentage of the assessed property value, which is commonly the property’s fair market value. Fair market value is the estimated sales price of the property, assuming a transaction between a willing buyer and a willing seller who both have reasonable knowledge of all pertinent facts about the property, and in a situation where neither party has a compulsion to complete the transaction. Fair market value can be more simply understood as just a reasonable price.

Property Subject to Ad Valorem Taxes

Ad valorem taxes are generally levied on both real property and personal property. Real property includes land, buildings and other structures, and any improvements to the property. An example of an improvement is a garage added to a single-family home or a road built on a parcel of land. Personal property ad valorem taxes are most commonly levied only on major personal property holdings, such as a car or boat. Incidental personal property, such as household appliances or clothing, is not usually subject to personal property taxes.

What Is 52-Week High/Low?

The 52-week high/low is the highest and lowest price at which a security, such as a stock, has traded during the time period that equates to one year.

Understanding the 52-Week High/Low

A 52-week high/low is a technical indicator used by some traders and investors who view these figures as an important factor in the analysis of a stock’s current value and as a predictor of its future price movement. An investor may show increased interest in a particular stock as its price nears either the high or the low end of its 52-week price range (the range that exists between the 52-week low and the 52-week high).

The 52-week high/low is based on the daily closing price for the security. Often, a stock may actually breach a 52-week high intraday, but end up closing below the previous 52-week high, thereby going unrecognized. The same applies when a stock makes a new 52-week low during a trading session but fails to close at a new 52-week low. In these cases, the failure to register as having made a new closing 52-week high/low can be very significant.

One way that the 52-week high/low figure is used is to help determine an entry or exit point for a given stock. For example, stock traders may buy a stock when the price exceeds its 52-week high, or sell when the price falls below its 52-week low. The rationale behind this strategy is that if a price breaks out from its 52-week range (either above or below that range), there must be some factor that generated enough momentum to continue the price movement in the same direction. When using this strategy, an investor may utilize stop-orders to initiate new positions or add on to existing positions.

It is not uncommon for the volume of trading of a given stock to spike once it crosses a 52-week barrier. In fact, research has demonstrated this. According to a study called “Volume and Price Patterns Around a Stock’s 52-Week Highs and Lows: Theory and Evidence,” conducted by economists at Pennsylvania State University, the University of North Carolina at Chapel Hill, and the University of California, Davis in 2008, small stocks crossing their 52-week highs produced 0.6275% excess gains in the following week. Correspondingly, large stocks produced gains of 0.1795% in the following week. Over time, however, the effect of 52-week highs (and lows) became more pronounced for large stocks. On an overall basis, however, these trading ranges had more of an effect on small stocks as opposed to large stocks.

52-Week High/Low Reversals

A stock that reaches a 52-week high intraday, but closes negative on the same day, may have topped out. This means that its price may not go much higher in the near term. This can be determined if it forms a daily shooting star, which occurs when a security trades significantly higher than its opening, but declines later in the day to close either below or near its opening price. Often, professionals, and institutions, use 52-week highs as a way of setting take-profit orders as a way of locking in gains. They may also use 52-week lows to determine stop-loss levels as a way to limit their losses.

Given the upward bias inherent in the stock markets, a 52-week high represents bullish sentiment in the market. There are usually plenty of investors prepared to give up some further price appreciation in order to lock in some or all of their gains. Stocks making new 52-week highs are often the most susceptible to profit taking, resulting in pullbacks and trend reversals.

Similarly, when a stock makes a new 52-week low intra-day but fails to register a new closing 52-week low, it may be a sign of a bottom. This can be determined if it forms a daily hammer candlestick, which occurs when a security trades significantly lower than its opening, but rallies later in the day to close either above or near its opening price. This can trigger short-sellers to start buying to cover their positions, and can also encourage bargain hunters to start making moves. Stocks that make five consecutive daily 52-week lows are most susceptible to seeing strong bounces when a daily hammer forms.

52-Week High/Low Example

Suppose that stock ABC trades at a peak of $100 and a low of $75 in a year. Then its 52-week high/low price is $100 and $75. Typically, $100 is considered a resistance level while $75 is considered a support level. This means that traders will begin selling the stock once it reaches that level and they will begin purchasing it once it reaches $75. If it does breach either end of the range conclusively, then traders will initiate new long or short positions, depending on whether the 52-week high or 52-week low was breached.