Posts Tagged ‘Formula’

What Is an Amortization Schedule? How to Calculate with Formula

Written by admin. Posted in A, Financial Terms Dictionary

What Is an Amortization Schedule? How to Calculate With Formula

[ad_1]

 Period Beginning Loan Balance Payment Interest Principal Ending Loan Balance
Month or period Amount of debt owed at the start of the month of period Amount due each month (often a fixed amount over the term of the loan) Amount of interest included in the payment (loan balance * 1/12 of interest) Amount of principal included in loan payment (Payment – Interest) Amount of debt owed at the end of the month or period (Beginning Loan Balance – Principal)
  • The period is the timing of each loan payment, often represented on a monthly basis. However, each row on an amortization represents a payment so if a loan is due bi-weekly or quarterly, the period will be the same. This column helps a borrower and lender understand which payments will be broken down in what ways. This may either be shown as a payment number (i.e., Payment 1, Payment 2, etc.) or a date (i.e. 1/1/2023, 2/1/2023, etc.).
  • The beginning loan balance is amount of debt owed at the beginning of the period. This amount is either the original amount of the loan or the amount carried over from the prior month (last month’s ending loan balance equals this month’s beginning loan balance).
  • The payment is the monthly obligation calculated above. This will often remain constant over the term of the loan. Though you usually calculate the payment amount before calculating interest and principal, payment is equal to the sum of principal and interest.
  • The interest portion is the amount of the payment that gets applied as interest expense. This is often calculated as the outstanding loan balance multiplied by the interest rate attributable to this period’s portion of the rate. For example, if a payment is owed monthly, this interest rate may be calculated as 1/12 of the interest rate multiplied by the beginning balance. Always be mindful of how a lender calculates, applies, and compounds your annual percentage rate as this impacts your schedule. As the outstanding loan balance decreases over time, less interest should be charged each period.
  • The principal portion is simply the left over amount of the payment. This is the total payment amount less the amount of interest expense for this period. As the outstanding loan balance decreases over time, less interest will be charged, so the value of this column should increase over time.
  • The ending loan balance is the difference between the beginning loan balance and the principal portion. This represents the new debt balance owed based on the payment made for the new period.

Amortization of Intangible Assets

Amortization can also refer to the amortization of intangibles. In this case, amortization is the process of expensing the cost of an intangible asset over the projected life of the asset. It measures the consumption of the value of an intangible asset, such as goodwill, a patent, a trademark, or copyright.

Amortization is calculated in a similar manner to depreciation—which is used for tangible assets, such as equipment, buildings, vehicles, and other assets subject to physical wear and tear—and depletion, which is used for natural resources.

When businesses amortize expenses over time, they help tie the cost of using an asset to the revenues that it generates in the same accounting period, in accordance with generally accepted accounting principles (GAAP). For example, a company benefits from the use of a long-term asset over a number of years. Thus, it writes off the expense incrementally over the useful life of that asset.

The amortization of intangibles is also useful in tax planning. The Internal Revenue Service (IRS) allows taxpayers to take a deduction for certain expenses: geological and geophysical expenses incurred in oil and natural gas exploration, atmospheric pollution control facilities, bond premiums, research and development (R&D), lease acquisition, forestation and reforestation, and intangibles, such as goodwill, patents, copyrights, and trademarks.

The IRS has schedules that dictate the total number of years in which to expense tangible and intangible assets for tax purposes.

Why Is Amortization Important?

Amortization is important because it helps businesses and investors understand and forecast their costs over time. In the context of loan repayment, amortization schedules provide clarity into what portion of a loan payment consists of interest versus principal. This can be useful for purposes such as deducting interest payments for tax purposes. It is also useful for future planning to understand what a company’s future debt balance will be in the future after a series of payments have already been made.

Amortizing intangible assets is important because it can reduce a business’s taxable income, and therefore its tax liability, while giving investors a better understanding of the company’s true earnings. Intangible assets also have a finite useful life; over time, trademarks or patents may lose their value due to obsolescence. Amortizing intangible assets is also a reflection of how a company has “used up” the benefit of these assets.

Amortization vs. Depreciation

Amortization and depreciation are similar concepts, in that both attempt to capture the cost of holding an asset over time. The main difference between them, however, is that amortization refers to intangible assets, whereas depreciation refers to tangible assets. Examples of intangible assets include trademarks and patents; tangible assets include equipment, buildings, vehicles, and other assets subject to physical wear and tear.

Another difference is the accounting treatment in which different assets are reduced on the balance sheet. Amortizing an intangible asset is performed by directly crediting (reducing) that specific asset account. Alternatively, depreciation is recorded by crediting an account called accumulated depreciation, a contra asset account. The historical cost fixed assets remains on a company’s books; however, the company also reports this contra asset amount to report a net reduced book value amount.

Last, the calculation of each can be different. This is especially true when comparing depreciation to the amortization of a loan. Intangible assets are often amortized over their useful life using the straight-line method, while fixed assets often use a much more broad set of calculation methods (i.e., declining balance method, double-declining balance method, sum-of-the-years’ digits method, or the units of production method).

Example of Amortization

Let’s look at a four-year, $30,000 auto loan at 3% interest. The monthly payment is going to be $664.03. That is arrived at as follows:


$ 30 , 000 × ( 0.0025 × ( 1.0025 ÷ 48 ) 1.0025 ÷ 48 1 ) \begin{aligned}&\$30,000 \times \Bigg ( \frac { 0.0025 \times (1.0025 \div 48) }{ 1.0025 \div 48 } – 1 \Bigg ) \\\end{aligned}
$30,000×(1.0025÷480.0025×(1.0025÷48)1)

In the first month, $75 of the $664.03 monthly payment goes to interest.


$ 30 , 000  loan balance × 3 %  interest rate ÷ 12  months \begin{aligned}&\$30,000 \ \text{loan balance} \times 3\% \ \text{interest rate} \div 12 \ \text{months} \\\end{aligned}
$30,000 loan balance×3% interest rate÷12 months

The remaining $589.03 goes toward principal.


$ 664.03  total monthly payment $ 75  interest payment \begin{aligned}&\$664.03 \ \text{total monthly payment} – \$75 \ \text{interest payment} \\ \end{aligned}
$664.03 total monthly payment$75 interest payment

The total payment stays the same each month, while the portion going to principal increases and the portion going to interest decreases. In the final month, only $1.66 is paid in interest, because the outstanding loan balance at that point is very minimal compared with the starting loan balance.

Loan Amortization Schedule
Period Total Payment Due Computed Interest Due Principal Due Principal Balance
        $30,000
1 $664.03 $75 $589.03 $29,410.97
2 $664.03 $73.53 $590.50 $28,820.47
3 $664.03 $72.05 $591.98 $28,228.49
4 $664.03 $70.57 $593.46 $27,635.03
5 $664.03 $69.09 $594.94 $27,040.09
6 $664.03 $67.60 $596.43 $26,443.66
7 $664.03 $66.11 $597.92 $25,845.74
8 $664.03 $64.61 $599.42 $25,246.32
9 $664.03 $63.12 $600.91 $24,645.41
10 $664.03 $61.61 $602.42 $24,042.99
11 $664.03 $60.11 $603.92 $23,439.07
12 $664.03 $58.60 $605.43 $22,833.64
13 $664.03 $57.08 $606.95 $22,226.69
14 $664.03 $55.57 $608.46 $21,618.23
15 $664.03 $54.05 $609.98 $21,008.24
16 $664.03 $52.52 $611.51 $20,396.73
17 $664.03 $50.99 $613.04 $19,783.69
18 $664.03 $49.46 $614.57 $19,169.12
19 $664.03 $47.92 $616.11 $18,553.02
20 $664.03 $46.38 $617.65 $17,935.37
21 $664.03 $44.84 $619.19 $17,316.18
22 $664.03 $43.29 $620.74 $16,695.44
23 $664.03 $41.74 $622.29 $16,073.15
24 $664.03 $40.18 $623.85 $15,449.30
25 $664.03 $38.62 $625.41 $14,823.89
26 $664.03 $37.06 $626.97 $14,196.92
27 $664.03 $35.49 $628.54 $13,568.38
28 $664.03 $33.92 $630.11 $12,938.28
29 $664.03 $32.35 $631.68 $12,306.59
30 $664.03 $30.77 $633.26 $11,673.33
31 $664.03 $29.18 $634.85 $11,038.48
32 $664.03 $27.60 $636.43 $10,402.05
33 $664.03 $26.01 $638.02 $9,764.02
34 $664.03 $24.41 $639.62 $9,124.40
35 $664.03 $22.81 $641.22 $8,483.18
36 $664.03 $21.21 $642.82 $7,840.36
37 $664.03 $19.60 $644.43 $7,195.93
38 $664.03 $17.99 $646.04 $6,549.89
39 $664.03 $16.37 $647.66 $5,902.24
40 $664.03 $14.76 $649.27 $5,252.96
41 $664.03 $13.13 $650.90 $4,602.06
42 $664.03 $11.51 $652.52 $3,949.54
43 $664.03 $9.87 $654.16 $3,295.38
44 $664.03 $8.24 $655.79 $2,639.59
45 $664.03 $6.60 $657.43 $1,982.16
46 $664.03 $4.96 $659.07 $1,323.09
47 $664.03 $3.31 $660.72 $662.36
48 $664.03 $1.66 $662.36 $0.00

Frequently Asked Questions

What Is Negative Amortization?

Negative amortization is when the size of a debt increases with each payment, even if you pay on time. This happens because the interest on the loan is greater than the amount of each payment. Negative amortization is particularly dangerous with credit cards, whose interest rates can be as high as 20% or even 30%. In order to avoid owing more money later, it is important to avoid over-borrowing and to pay your debts as quickly as possible.

What Does Amortization Mean for Intangible Assets?

Amortization measures the declining value of intangible assets, such as goodwill, trademarks, patents, and copyrights. This is calculated in a similar manner to the depreciation of tangible assets, like factories and equipment. When businesses amortize intangible assets over time, they are able to tie the cost of those assets with the revenue generated over each accounting period and deduct the costs over the lifetime of the asset.

Why Is Amortization Important in Accounting?

Amortization helps businesses and investors understand and forecast their costs over time. In the context of loan repayment, amortization schedules provide clarity into what portion of a loan payment consists of interest versus principal. This can be useful for purposes such as deducting interest payments for tax purposes. Amortizing intangible assets is also important because it can reduce a company’s taxable income and therefore its tax liability, while giving investors a better understanding of the company’s true earnings.

How Do You Amortize a Loan?

A loan is amortized by determining the monthly payment due over the term of the loan. Then, prepare an amortization schedule that clearly identifies what portion of each month’s payment is attributable towards interest and what portion of each month’s payment is attributable towards principal.

Since part of the payment will theoretically be applied to the outstanding principal balance, the amount of interest paid each month will decrease. Since your payment should theoretically remain the same each month, more of your payment each month will apply to principal, thereby paying down the amount you borrowed over time.

The Bottom Line

Amortization is a technique of gradually reducing an account balance over time. When amortizing loans, a gradually escalating portion of the monthly debt payment is applied to the principal. When amortizing intangible assets, amortization is similar to depreciation where a fixed percentage of an asset’s book value is reduced each month. This technique is used to reflect how the benefit of an asset is received by a company over time.

[ad_2]

Source link

Accumulation/Distribution Indicator (A/D): What it Tells You

Written by admin. Posted in A, Financial Terms Dictionary

Accumulation/Distribution Indicator (A/D): What it Tells You

[ad_1]

What Is the Accumulation/Distribution Indicator (A/D)?

The accumulation/distribution indicator (A/D) is a cumulative indicator that uses volume and price to assess whether a stock is being accumulated or distributed. The A/D measure seeks to identify divergences between the stock price and the volume flow. This provides insight into how strong a trend is. If the price is rising but the indicator is falling, then it suggests that buying or accumulation volume may not be enough to support the price rise and a price decline could be forthcoming.

Key Takeways

  • The accumulation/distribution (A/D) line gauges supply and demand of an asset or security by looking at where the price closed within the period’s range and then multiplying that by volume.
  • The A/D indicator is cumulative, meaning one period’s value is added or subtracted from the last.
  • In general, a rising A/D line helps confirm a rising price trend, while a falling A/D line helps confirm a price downtrend.

The Accumulation/Distribution Indicator (A/D) Formula


MFM = ( Close Low ) ( High Close ) High Low where: MFM = Money Flow Multiplier Close = Closing price Low = Low price for the period High = High price for the period \begin{aligned}&\text{MFM} = \frac {(\text{Close} – \text{Low} ) – ( \text{High} – \text{Close} ) } {\text{High} – \text{Low} } \\&\textbf{where:}\\&\text{MFM} = \text{Money Flow Multiplier} \\&\text{Close} = \text{Closing price} \\&\text{Low} = \text{Low price for the period} \\&\text{High} = \text{High price for the period} \\ \end{aligned}
MFM=HighLow(CloseLow)(HighClose)where:MFM=Money Flow MultiplierClose=Closing priceLow=Low price for the periodHigh=High price for the period


Money Flow Volume = MFM × Period Volume \begin{aligned}&\text{Money Flow Volume} = \text{MFM} \times \text{Period Volume} \\ \end{aligned}
Money Flow Volume=MFM×Period Volume


A/D = Previous A/D + CMFV where: CMFV = Current period money flow volume \begin{aligned}&\text{A/D} = \text{Previous A/D} + \text{CMFV}\\&\textbf{where:}\\&\text{CMFV} = \text{Current period money flow volume} \\ \end{aligned}
A/D=Previous A/D+CMFVwhere:CMFV=Current period money flow volume

How to Calculate the A/D Line

  1. Start by calculating the multiplier. Note the most recent period’s close, high, and low to calculate.
  2. Use the multiplier and the current period’s volume to calculate the money flow volume.
  3. Add the money flow volume to the last A/D value. For the first calculation, use money flow volume as the first value.
  4. Repeat the process as each period ends, adding/subtracting the new money flow volume to/from the prior total. This is A/D.

What Does the Accumulation/Distribution Indicator (A/D) Tell You?

The A/D line helps to show how supply and demand factors are influencing price. A/D can move in the same direction as price changes or in the opposite direction.

The multiplier in the calculation provides a gauge for how strong the buying or selling was during a particular period. It does this by determining whether the price closed in the upper or lower portion of its range. This is then multiplied by the volume. Therefore, when a stock closes near the high of the period’s range and has high volume, it will result in a large A/D jump. Alternatively, if the price finishes near the high of the range but volume is low, or if the volume is high but the price finishes more toward the middle of the range, then the A/D will not move up as much.

The same concepts apply when the price closes in the lower portion of the period’s price range. Both volume and where the price closes within the period’s range determine how much the A/D will decline.

Image by Sabrina Jiang © Investopedia 2021


The A/D line is used to help assess price trends and potentially spot forthcoming reversals. If a security’s price is in a downtrend while the A/D line is in an uptrend, then the indicator shows there may be buying pressure and the security’s price may reverse to the upside. Conversely, if a security’s price is in an uptrend while the A/D line is in a downtrend, then the indicator shows there may be selling pressure, or higher distribution. This warns that the price may be due for a decline.

In both cases, the steepness of the A/D line provides insight into the trend. A strongly rising A/D line confirms a strongly rising price. Similarly, if the price is falling and the A/D is also falling, then there is still plenty of distribution and prices are likely to continue to decline.

The Accumulation/Distribution Indicator (A/D) vs. On-Balance Volume (OBV)

Both of these technical indicators use price and volume, albeit somewhat differently. On-balance volume (OBV) looks at whether the current closing price is higher or lower than the prior close. If the close is higher, then the period’s volume is added. If the close is lower, then the period’s volume is subtracted.

The A/D indicator doesn’t factor in the prior close and uses a multiplier based on where the price closed within the period’s range. Therefore, the indicators use different calculations and may provide different information.

Limitations of Using the Accumulation/Distribution Indicator (A/D)

The A/D indicator does not factor in price changes from one period to the next, and focuses only on where the price closes within the current period’s range. This creates some anomalies.

Assume a stock gaps down 20% on huge volume. The price oscillates throughout the day and finishes in the upper portion of its daily range, but is still down 18% from the prior close. Such a move would actually cause the A/D to rise. Even though the stock lost a significant amount of value, it finished in the upper portion of its daily range; therefore, the indicator will increase, likely dramatically, due to the large volume. Traders need to monitor the price chart and mark any potential anomalies like these, as they could affect how the indicator is interpreted.

Also, one of the main uses of the indicator is to monitor for divergences. Divergences can last a long time and are poor timing signals. When divergence appears between the indicator and price, it doesn’t mean a reversal is imminent. It may take a long time for the price to reverse, or it may not reverse at all.

The A/D is just one tool that can be used to assess strength or weakness within a trend, but it is not without its faults. Use the A/D indicator in conjunction with other forms of analysis, such as price action analysis, chart patterns, or fundamental analysis, to get a more complete picture of what is moving the price of a stock.

[ad_2]

Source link

Acid-Test Ratio Definition: Meaning, Formula, and Example

Written by admin. Posted in A, Financial Terms Dictionary

Acid-Test Ratio Definition: Meaning, Formula, and Example

[ad_1]

What Is the Acid-Test Ratio?

The acid-test ratio, commonly known as the quick ratio, uses a firm’s balance sheet data as an indicator of whether it has sufficient short-term assets to cover its short-term liabilities.

Key Takeaways

  • The acid-test, or quick ratio, compares a company’s most short-term assets to its most short-term liabilities to see if a company has enough cash to pay its immediate liabilities, such as short-term debt.
  • The acid-test ratio disregards current assets that are difficult to liquidate quickly such as inventory.
  • The acid-test ratio may not give a reliable picture of a firm’s financial condition if the company has accounts receivable that take longer than usual to collect or current liabilities that are due but have no immediate payment needed.

Understanding the Acid-Test Ratio

In certain situations, analysts prefer to use the acid-test ratio rather than the current ratio (also known as the working capital ratio) because the acid-test method ignores assets such as inventory, which may be difficult to quickly liquidate. The acid test ratio is thus a more conservative metric.

Companies with an acid-test ratio of less than 1 do not have enough liquid assets to pay their current liabilities and should be treated with caution. If the acid-test ratio is much lower than the current ratio, it means that a company’s current assets are highly dependent on inventory.

This is not a bad sign in all cases, however, as some business models are inherently dependent on inventory. Retail stores, for example, may have very low acid-test ratios without necessarily being in danger. The acceptable range for an acid-test ratio will vary among different industries, and you’ll find that comparisons are most meaningful when analyzing peer companies in the same industry as each other.

For most industries, the acid-test ratio should exceed 1. On the other hand, a very high ratio is not always good. It could indicate that cash has accumulated and is idle, rather than being reinvested, returned to shareholders, or otherwise put to productive use.

Some tech companies generate massive cash flows and accordingly have acid-test ratios as high as 7 or 8. While this is certainly better than the alternative, these companies have drawn criticism from activist investors who would prefer that shareholders receive a portion of the profits.

Calculating the Acid-Test Ratio

The numerator of the acid-test ratio can be defined in various ways, but the main consideration should be gaining a realistic view of the company’s liquid assets. Cash and cash equivalents should definitely be included, as should short-term investments, such as marketable securities.

Accounts receivable are generally included, but this is not appropriate for every industry. In the construction industry, for example, accounts receivable may take much more time to recover than is standard practice in other industries, so including it could make a firm’s financial position seem much more secure than it is in reality.

The formula is:


Acid Test = Cash + Marketable Securities + A/R Current Liabilities where: A/R = Accounts receivable \begin{aligned} &\text{Acid Test} = \frac{ \text{Cash} + \text{Marketable Securities} + \text{A/R} }{ \text{Current Liabilities} } \\ &\textbf{where:} \\ &\text{A/R} = \text{Accounts receivable} \\ \end{aligned}
Acid Test=Current LiabilitiesCash+Marketable Securities+A/Rwhere:A/R=Accounts receivable

Another way to calculate the numerator is to take all current assets and subtract illiquid assets. Most importantly, inventory should be subtracted, keeping in mind that this will negatively skew the picture for retail businesses because of the amount of inventory they carry. Other elements that appear as assets on a balance sheet should be subtracted if they cannot be used to cover liabilities in the short term, such as advances to suppliers, prepayments, and deferred tax assets.

The ratio’s denominator should include all current liabilities, which are debts and obligations that are due within one year. It is important to note that time is not factored into the acid-test ratio. If a company’s accounts payable are nearly due but its receivables won’t come in for months, that company could be on much shakier ground than its ratio would indicate. The opposite can also be true.

Acid-Test Ratio Example

A company’s acid-test ratio can be calculated using its balance sheet. Below is an abbreviated version of Apple Inc.’s (AAPL) balance sheet as of Jan. 27, 2022, showing the components of the company’s current assets and current liabilities (all figures in millions of dollars):

 Cash and cash equivalents  37,119
 Short-term marketable securities  26,794
 Accounts receivable  30,213
 Inventories  5,876
 Vendor non-trade receivables  35,040
 Other current assets  18,112
 Total current assets  153,154
Accounts payable 74,362
Other current liabilities 49,167
Deferred revenue 7,876
Commercial paper 5,000
Term debt 11,169
Total current liabilities 147,574

To obtain the company’s liquid current assets, add cash and cash equivalents, short-term marketable securities, accounts receivable, and vendor non-trade receivables. Then divide current liquid current assets by total current liabilities to calculate the acid-test ratio. The calculation would look like the following:

Apple’s ATR = ($37,119 + 26,795 + 30,213 + 35,040) / ($123,529) = 1.05

Not everyone calculates this ratio the same. There is no single, hard-and-fast method for determining a company’s acid-test ratio, but it is important to understand how data providers arrive at their conclusions.

What’s the Difference Between Current and Acid-Test Ratios?

Both the current ratio, also known as the working capital ratio, and the acid-test ratio measure a company’s short-term ability to generate enough cash to pay off all debts should they become due at once. However, the acid-test ratio is considered more conservative than the current ratio because its calculation ignores items, such as inventory, which may be difficult to quickly liquidate. Another key difference is that the acid-test ratio includes only assets that can be converted to cash within 90 days or less, while the current ratio includes those that can be converted to cash within one year.

What Does the Acid-Test Ratio Tell You?

The acid-test, or quick ratio, shows if a company has, or can get, enough cash to pay its immediate liabilities, such as short-term debt. For most industries, the acid-test ratio should exceed 1. If it’s less than 1, then companies do not have enough liquid assets to pay their current liabilities and should be treated with caution. If the acid-test ratio is much lower than the current ratio, it means that a company’s current assets are highly dependent on inventory. On the other hand, a very high ratio could indicate that accumulated cash is sitting idle, rather than being reinvested, returned to shareholders, or otherwise put to productive use.

How to Calculate the Acid-Test Ratio?

To calculate the acid-test ratio of a company, divide a company’s current cash, marketable securities, and total accounts receivable by its current liabilities. This information can be found on the company’s balance sheet.

While it’s true the variables in the numerator can be modified, each variation should reflect the most realistic view of the company’s liquid assets. Cash and cash equivalents should be included, as should short-term investments, such as marketable securities. Accounts receivable are sometimes omitted from the calculation because this figure is not appropriate for every industry. The ratio’s denominator should include all current liabilities, which are debts and obligations that are due within one year.

[ad_2]

Source link