What Is Adjusted EBITDA?

Adjusted EBITDA (earnings before interest, taxes, depreciation, and amortization) is a measure computed for a company that takes its earnings and adds back interest expenses, taxes, and depreciation charges, plus other adjustments to the metric.

Standardizing EBITDA by removing anomalies means the resulting adjusted or normalized EBITDA is more accurately and easily comparable to the EBITDA of other companies, and to the EBITDA of a company’s industry as a whole.

The Formula for Adjusted EBITDA Is


$\begin{aligned} ∋+IT+DA=EBITDA\\ &EBITDA +\!\!/\!\!-A = \text{Adjusted }EBITDA\\ &\textbf{where:}\\ ∋\ =\ \text{Net income}\\ &IT\ =\ \text{Interest \& taxes}\\ &DA\ =\ \text{Depreciation \& amortization}\\ &A\ =\ \text{Adjustments} \end{aligned}$​NI+IT+DA=EBITDAEBITDA+/−A=Adjusted EBITDAwhere:NI = Net incomeIT = Interest & taxesDA = Depreciation & amortization​

How to Calculate Adjusted EBITDA

Start by calculating earnings before income, taxes, depreciation, and amortization, i.e. EBITDA, which begins with a company’s net income. To this figure, add back interest expense, income taxes, and all non-cash charges including depreciation and amortization.

Next, either add back non-routine expenses, such as excessive owner’s compensation or deduct any additional, typical expenses that would be present in peer companies but may not be present in the company under analysis. This could include salaries for necessary headcount in a company that is under-staffed, for example.

What Does Adjusted EBITDA Tell You?

Adjusted EBITDA is used to assess and compare related companies for valuation analysis and for other purposes. Adjusted EBITDA differs from the standard EBITDA measure in that a company’s adjusted EBITDA is used to normalize its income and expenses since different companies may have several types of expense items that are unique to them. Adjusted EBITDA, as opposed to the non-adjusted version, will attempt to normalize income, standardize cash flows, and eliminate abnormalities or idiosyncrasies (such as redundant assets, bonuses paid to owners, rentals above or below fair market value, etc.), which makes it easier to compare multiple business units or companies in a given industry.

For smaller firms, owners’ personal expenses are often run through the business and must be adjusted out. The adjustment for reasonable compensation to owners is defined by Treasury Regulation 1.162-7(b)(3) as “the amount that would ordinarily be paid for like services by like organizations in like circumstances.”

Other times, one-time expenses need to be added back, such as legal fees, real estate expenses such as repairs or maintenance, or insurance claims. Non-recurring income and expenses such as one-time startup costs that usually reduce EBITDA should also be added back when computing the adjusted EBITDA.

Adjusted EBITDA should not be used in isolation and makes more sense as part of a suite of analytical tools used to value a company or companies. Ratios that rely on adjusted EBITDA can also be used to compare companies of different sizes and in different industries, such as the enterprise value/adjusted EBITDA ratio. 

Example of How to Use Adjusted EBITDA

The adjusted EBITDA metric is most helpful when used in determining the value of a company for transactions such as mergers, acquisitions or raising capital. For example, if a company is valued using a multiple of EBITDA, the value could change significantly after add-backs.

Assume a company is being valued for a sale transaction, using an EBITDA multiple of 6x to arrive at the purchase price estimate. If the company has just $1 million of non-recurring or unusual expenses to add back as EBITDA adjustments, this adds $6 million ($1 million times the 6x multiple) to its purchase price. For this reason, EBITDA adjustments come under much scrutiny from equity analysts and investment bankers during these types of transactions.

The adjustments made to a company’s EBITDA can vary quite a bit from one company to the next, but the goal is the same. Adjusting the EBITDA metric aims to “normalize” the figure so that it is somewhat generic, meaning it contains essentially the same line-item expenses that any other, similar company in its industry would contain.

The bulk of the adjustments are often different types of expenses that are added back to EBITDA. The resulting adjusted EBITDA often reflects a higher earnings level because of the reduced expenses.

EBITDA Adjustments

Common EBITDA adjustments include:

• Unrealized gains or losses
• Non-cash expenses (depreciation, amortization)
• Litigation expenses
• Owner’s compensation that is higher than the market average (in private firms)
• Gains or losses on foreign exchange
• Goodwill impairments
• Non-operating income
• Share-based compensation

This metric is typically calculated on an annual basis for a valuation analysis, but many companies will look at adjusted EBITDA on a quarterly or even monthly basis, though it may be for internal use only.

Analysts often use a three-year or five-year average adjusted EBITDA to smooth out the data. The higher the adjusted EBITDA margin, the better. Different firms or analysts may arrive at slightly different adjusted EBITDA due to differences in their methodology and assumptions in making the adjustments.

These figures are often not made available to the public, while non-normalized EBITDA is typically public information. It is important to note that adjusted EBITDA is not a generally accepted accounting principles (GAAP)-standard line item on a company’s income statement.

What Is the After-Tax Real Rate of Return?

The after-tax real rate of return is the actual financial benefit of an investment after accounting for the effects of inflation and taxes. It is a more accurate measure of an investor’s net earnings after income taxes have been paid and the rate of inflation has been adjusted for. Both of these factors must be accounted for because they impact the gains an investor receives. This can be contrasted with the gross rate of return and the nominal rate of return of an investment.

Understanding the After-Tax Real Rate of Return

Over the course of a year, an investor might earn a nominal rate of return of 12% on his stock investment, but the real rate of return, the money he gets to put in his pocket at the end of the day, will be less than 12%. Inflation might have been 3% for the year, knocking his real rate of return down to 9%. And since he sold his stock at a profit, he will have to pay taxes on those profits, taking another, say 2%, off his return, for an after-tax real rate of return of 7%.

The commission he paid to buy and sell the stock also diminishes his return. Thus, in order to truly grow their nest eggs over time, investors must focus on the after-tax real rate of return, not the nominal return.

The after-tax real rate of return is a more accurate measure of investment earnings and usually differs significantly from an investment’s nominal (gross) rate of return, or its return before fees, inflation, and taxes. However, investments in tax-advantaged securities, such as municipal bonds and inflation-protected securities, such as Treasury inflation protected securities (TIPS), as well as investments held in tax-advantaged accounts, such as Roth IRAs, will show less discrepancy between nominal returns and after-tax real rates of return.

Example of the After-Tax Real Rate of Return

Let’s be more specific about how the after-tax real rate of return is determined. The return is calculated first of all by determining the after-tax return before inflation, which is calculated as Nominal Return x (1 – tax rate). For example, consider an investor whose nominal return on his equity investment is 17% and his applicable tax rate is 15%. His after-tax return is, therefore:
$0.17 \times (1 – 0.15) = 0.1445 = 14.45\%$0.17×(1−0.15)=0.1445=14.45%

Let’s assume that the inflation rate during this period is 2.5%. To calculate the real rate of return after tax, divide 1 plus the after-tax return by 1 plus the inflation rate, then subtract 1. Dividing by inflation reflects the fact that a dollar in hand today is worth more than a dollar in hand tomorrow. In other words, future dollars have less purchasing power than today’s dollars.

Following our example, the after-tax real rate of return is:

$\frac{(1 + 0.1445)}{(1 + 0.025)} – 1 = 1.1166 – 1 = 0.1166 = 11.66\%$(1+0.025)(1+0.1445)​−1=1.1166−1=0.1166=11.66%

That figure is quite a bit lower than the 17% gross return received on the investment. As long as the real rate of return after taxes is positive, however, an investor will be ahead of inflation. If it’s negative, the return will not be sufficient to sustain an investor’s standard of living in the future.

The Bottom Line

When you are assessing the value of your investments, it’s important to look at not just your nominal rate of return but also the after-tax real rate of return, which takes into account the taxes you’ll owe and inflation’s effect. The after-tax real rate of return can tell you if your nest egg investments will allow you to maintain your standard of living in the future.

What Is Absorption Rate?

Absorption rate most commonly refers to a metric used in the real estate market to evaluate the rate at which available homes are sold in a specific market during a given time period. It is calculated by dividing the number of homes sold in the allotted time period by the total number of available homes. This equation can also be reversed to identify the amount of time it would take for the supply to be sold.

Absorption rate is also a key part of the accounting industry. In this context, absorption rate refers to the way in which businesses calculate their overhead costs.

Understanding Absorption Rate

Absorption rate provides insight into how quickly or slowly houses are selling in the real estate market. Absorption rate does not take into account additional homes that enter the market at various times. While an absorption rate calculation can be projected, it’s most commonly used based on current available data and actual inventory.

A high absorption rate may indicate that the supply of available homes will shrink rapidly. A homeowner is typically able to sell their property faster during periods of high absorption. However, the time period associated with an absorption rate calculation is important to consider.

Traditionally, an absorption rate above 20% signaled a seller’s market in which homes are sold quickly. An absorption rate below 15% is an indicator of a buyer’s market in which homes are not being sold as fast.

Influence in the Real Estate Market

In market conditions with low absorption rates, a real estate agent may be forced to reduce a listing price to entice a sale. Alternatively, the agent can increase the price without sacrificing demand for the home if the market has a high absorption rate. The absorption rate is also important for buyers and sellers to follow as they make decisions on the timing of purchases and sales.

The absorption rate is also a signal for developers to start building new homes, though developers often use long lead times to forecast periods of higher absorption. During market conditions with a high absorption rate, demand may be high enough to warrant the further development of properties. Meanwhile, periods with lower absorption rates indicate a cooling period for construction.

Appraisers use the absorption rate to determine the value of a property. Some procedures require an addendum showing that absorption rates were considered in appraisal calculations. In general, appraisers are responsible for analyzing market conditions and maintaining an awareness of the absorption rates for all types of appraisal values.

Most appraisers include this data metric in the neighborhood section of the appraisal forms. The current valuation of a home would be reduced during periods of decreased absorption rates and increased when absorption rates are high.

Lenders and banking institutions will also consider market conditions when evaluating loan and credit terms. During periods of low absorption, banks may feel tempted to entice clients to borrow money with more favorable loan terms. Alternatively, lenders can be more selective during high absorption periods as they are more likely to have a broader portfolio of prospective borrowers.

Example of the Absorption Rate

Suppose a city has 1,000 homes currently on the market to be sold. If buyers purchase 100 homes per month, the absorption rate is 10% (100 homes sold per month divided by 1,000 homes available for sale). This also indicates that the supply of homes will be exhausted in 10 months (1,000 homes divided by 100 homes sold/month).

Absorption Rate in Accounting

Absorption rate is also used in an entirely different manner in accounting.

In accounting, absorption rate (or the rate of absorption) is the rate at which companies calculate and allocate their overhead expenses. These are the costs associated with providing goods and services to their customers, though these expenses aren’t directly traceable to end products. As such, it’s also often called an overhead absorption rate.

Companies often have to use estimates to determine their overhead costs. That’s because they don’t know what the actual costs are until they come in. In order to determine their overhead, companies divide the total budgeted overhead costs divided by the total budgeted production base. This requires an adjustment at the end of the accounting period to make up for any difference between the predicted and actual costs.

Alternatively, a company may know its actual overhead costs but not know how to trace those costs to final products or services. To overcome this hurdle, companies use estimated cost drivers to guess what non-financial measures cause changes in financial measures.

This can be problematic, especially when companies use very conservative estimates to predict their costs. Doing so may throw off their balance sheets because the actual costs may be higher at the end of the reporting period or if costs fluctuate. However, this practice has the benefit of making sure all costs including estimated amounts and estimated allocations are included when evaluating their products.

The Bottom Line

The absorption rate is a very important metric used in the real estate and accounting.

Realtors use it to determine how many homes are sold in a particular area at any given time. These professionals can also use the rate to determine the kind of market they are facing, whether that’s a buyer’s, seller’s, or a balanced market. This rate is also important for the construction industry, as it indicates when developers should start buying.

Equally important, absorption rate is used in the accounting field—notably for companies to estimate their overhead. Absorption costing entails estimating overhead costs, determining overhead cost drivers, and having products absorb these untraceable costs.

What Is Arc Elasticity?

Arc elasticity is the elasticity of one variable with respect to another between two given points. It is used when there is no general way to define the relationship between the two variables. Arc elasticity is also defined as the elasticity between two points on a curve.

The concept is used in both economics and mathematics. In economics, is it commonly used to measure the changes between the quantity of goods demanded and their prices.

Understanding Arc Elasticity

In economics, arc elasticity is commonly used in relation to the law of demand to measure percentage changes between the quantity of goods demanded and prices.

There are two possible ways of calculating elasticity—price (or point) elasticity of demand and arc elasticity of demand. Price elasticity of demand measures the responsiveness of quantity demanded to a price. It takes the elasticity of demand at a particular point on the demand curve, or between two points on the curve. Arc elasticity of demand uses a midpoint between the two points.

Formula for Price (Point) Elasticity of Demand


$PE_d = \dfrac{\text{\% Change in Qty}}{\text{\% Change in Price}}$PEd​=% Change in Price% Change in Qty​

How to Calculate the Price Elasticity of Demand

If the price of a product decreases from $10 to $8, leading to an increase in quantity demanded from 40 to 60 units, then the price elasticity of demand can be calculated as:

• % change in quantity demanded = (Qd₂ – Qd₁) / Qd₁ = (60 – 40) / 40 = 0.5
• % change in price = (P₂ – P₁) / P₁ = (8 – 10) / 10 = -0.2
• Thus, PE_d= 0.5 / -0.2 = 2.5

Since we’re concerned with the absolute values in price elasticity, the negative sign is ignored. You can conclude that the price elasticity of this good, when the price decreases from $10 to $8, is 2.5.

Arc Elasticity of Demand

One of the problems with the price elasticity of demand formula is that it gives different values depending on whether price rises or falls. If you were to use different start and end points in our example above—that is, if you assume the price increased from $8 to $10—and the quantity demanded decreased from 60 to 40, the Pe_d will be:

• % change in quantity demanded = (40 – 60) / 60 = -0.33
• % change in price = (10 – 8) / 8 = 0.25
• PE_d = -0.33 / 0.25 = 1.32, which is much different from 2.5

How to Calculate the Arc Elasticity of Demand

To eliminate this problem, the arc elasticity of demand can be used. Arc elasticity of demand measures elasticity at the midpoint between two selected points on the demand curve by using a midpoint between the two points. The arc elasticity of demand can be calculated as:

• Arc E_d = [(Qd₂ – Qd₁) / midpoint Qd] ÷ [(P₂ – P₁) / midpoint P]

Let’s calculate the arc elasticity following the example presented above:

• Midpoint Qd = (Qd₁ + Qd₂) / 2 = (40 + 60) / 2 = 50
• Midpoint Price = (P₁ + P₂) / 2 = (10 + 8) / 2 = 9
• % change in qty demanded = (60 – 40) / 50 = 0.4
• % change in price = (8 – 10) / 9 = -0.22
• Arc E_d = 0.4 / -0.22 = 1.82

When you use arc elasticity of demand you do not need to worry about which point is the starting point and which point is the ending point since the arc elasticity gives the same value for elasticity whether prices rise or fall.

The Bottom Line

Arc elasticity is commonly used in economics to determine the percentage of change between the demand for goods and their price. Elasticity can be calculated in two ways—price elasticity of demand and arc elasticity of demand. The latter is more useful when there is a significant change in price.