Posts Tagged ‘Total’

Annualized Total Return Formula and Calculation

Written by admin. Posted in A, Financial Terms Dictionary

Annualized Total Return Formula and Calculation

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What Is Annualized Total Return?

An annualized total return is the geometric average amount of money earned by an investment each year over a given time period. The annualized return formula is calculated as a geometric average to show what an investor would earn over a period of time if the annual return was compounded.

An annualized total return provides only a snapshot of an investment’s performance and does not give investors any indication of its volatility or price fluctuations.

Key Takeaways

  • An annualized total return is the geometric average amount of money earned by an investment each year over a given time period.
  • The annualized return formula shows what an investor would earn over a period of time if the annual return was compounded.
  • Calculating the annualized rate of return needs only two variables: the returns for a given period and the time the investment was held.

Understanding Annualized Total Return

To understand annualized total return, we’ll compare the hypothetical performances of two mutual funds. Below is the annualized rate of return over a five-year period for the two funds:

  • Mutual Fund A Returns: 3%, 7%, 5%, 12%, and 1%
  • Mutual Fund B Returns: 4%, 6%, 5%, 6%, and 6.7%

Both mutual funds have an annualized rate of return of 5.5%, but Mutual Fund A is much more volatile. Its standard deviation is 4.2%, while Mutual Fund B’s standard deviation is only 1%. Even when analyzing an investment’s annualized return, it is important to review risk statistics.

Annualized Return Formula and Calculation

The formula to calculate annualized rate of return needs only two variables: the returns for a given period of time and the time the investment was held. The formula is:


Annualized Return = ( ( 1 + r 1 ) × ( 1 + r 2 ) × ( 1 + r 3 ) × × ( 1 + r n ) ) 1 n 1 \begin{aligned} \text{Annualized Return} = &\big ( (1 + r_1 ) \times (1 + r_2) \times (1 + r_3) \times \\ &\dots \times (1 + r_n) \big ) ^ \frac{1}{n} – 1 \\ \end{aligned}
Annualized Return=((1+r1)×(1+r2)×(1+r3)××(1+rn))n11

For example, take the annual rates of returns of Mutual Fund A above. An analyst substitutes each of the “r” variables with the appropriate return, and “n” with the number of years the investment was held. In this case, five years. The annualized return of Mutual Fund A is calculated as:


Annualized Return = ( ( 1 + . 0 3 ) × ( 1 + . 0 7 ) × ( 1 + . 0 5 ) × ( 1 + . 1 2 ) × ( 1 + . 0 1 ) ) 1 5 1 = 1 . 3 0 9 0 . 2 0 1 = 1 . 0 5 5 3 1 = . 0 5 5 3 , or  5 . 5 3 % \begin{aligned} \text{Annualized Return} &= \big ( (1 + .03) \times (1 + .07) \times (1 + .05) \times \\ &\quad \quad (1 + .12) \times (1 + .01) \big ) ^ \frac{1}{5} -1 \\ &= 1.309 ^ {0.20} – 1 \\ &= 1.0553 – 1 \\ &= .0553, \text{or } 5.53\% \\ \end{aligned}
Annualized Return=((1+.03)×(1+.07)×(1+.05)×(1+.12)×(1+.01))511=1.3090.201=1.05531=.0553,or 5.53%

An annualized return does not have to be limited to yearly returns. If an investor has a cumulative return for a given period, even if it is a specific number of days, an annualized performance figure can be calculated; however, the annual return formula must be slightly adjusted to:


Annualized Return = ( 1 + Cumulative Return ) 3 6 5 Days Held 1 \begin{aligned} &\text{Annualized Return} = ( 1 + \text{Cumulative Return} ) ^ \frac {365}{ \text{Days Held} } – 1 \\ \end{aligned}
Annualized Return=(1+Cumulative Return)Days Held3651

For example, assume a mutual fund was held by an investor for 575 days and earned a cumulative return of 23.74%. The annualized rate of return would be:


Annualized Return = ( 1 + . 2 3 7 4 ) 3 6 5 5 7 5 1 = 1 . 1 4 5 1 = . 1 4 5 , or  1 4 . 5 % \begin{aligned} \text{Annualized Return} &= ( 1 + .2374) ^ \frac{365}{575} – 1 \\ &= 1.145 – 1 \\ &= .145, \text{or } 14.5\% \\ \end{aligned}
Annualized Return=(1+.2374)5753651=1.1451=.145,or 14.5%

Difference Between Annualized Return and Average Return

Calculations of simple averages only work when numbers are independent of each other. The annualized return is used because the amount of investment lost or gained in a given year is interdependent with the amount from the other years under consideration because of compounding.

For example, if a mutual fund manager loses half of her client’s money, she has to make a 100% return to break even. Using the more accurate annualized return also gives a clearer picture when comparing various mutual funds or the return of stocks that have traded over different time periods. 

Reporting Annualized Return

According to the Global Investment Performance Standards (GIPS)—a set of standardized, industry-wide principles that guide the ethics of performance reporting—any investment that does not have a track record of at least 365 days cannot “ratchet up” its performance to be annualized.

Thus, if a fund has been operating for only six months and earned 5%, it is not allowed to say its annualized performance is approximately 10% since that is predicting future performance instead of stating facts from the past. In other words, calculating an annualized rate of return must be based on historical numbers.

How Is Annualized Total Return Calculated?

The annualized total return is a metric that captures the average annual performance of an investment or portfolio of investments. It is calculated as a geometric average, meaning that it captures the effects of compounding over time. The annualized total return is sometimes referred to as the compound annual growth rate (CAGR).

What Is the Difference Between an Annualized Total Return and an Average Return?

The key difference between the annualized total return and the average return is that the annualized total return captures the effects of compounding, whereas the average return does not.

For example, consider the case of an investment that loses 50% of its value in year 1 but has a 100% return in year 2. Simply averaging these two percentages would give you an average return of 25% per year. However, common sense would tell you that the investor in this scenario has actually broken even on their money (losing half its value in year one, then regaining that loss in year 2). This fact would be better captured by the annualized total return, which would be 0.00% in this instance.

What Is the Difference Between the Annualized Total Return and the Compound Annual Growth Rate (CAGR)

The annualized total return is conceptually the same as the CAGR, in that both formulas seek to capture the geometric return of an investment over time. The main difference between them is that the CAGR is often presented using only the beginning and ending values, whereas the annualized total return is typically calculated using the returns from several years. This, however, is more a matter of convention. In substance, the two measures are the same.

The Bottom Line

Annualized total return represents the geometric average amount that an investment has earned each year over a specific period. By calculating a geometric average, the annualized total return formula accounts for compounding when depicting the yearly earnings that the investment would generate over the holding period. While the metric provides a useful snapshot of an investment’s performance, it does not reveal volatility and price fluctuations.

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Average Cost Method: Definition and Formula with Example

Written by admin. Posted in A, Financial Terms Dictionary

Average Cost Method: Definition and Formula with Example

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What Is Average Cost Method?

Average cost method assigns a cost to inventory items based on the total cost of goods purchased or produced in a period divided by the total number of items purchased or produced. Average cost method is also known as weighted-average method.

Key Takeaways

  • Average cost method is one of three inventory valuation methods, with the other two common methods being first in, first out (FIFO) and last in, first out (LIFO).
  • Average cost method uses the weighted average of all inventory purchased in a period to assign value to the cost of goods sold (COGS) as well as the cost of goods still available for sale.
  • Once a company selects an inventory valuation method, it needs to remain consistent in its use to be compliant with generally accepted accounting principles (GAAP).

Click Play to Learn What the Average Cost Method Is

Understanding the Average Cost Method

Businesses that sell products to customers have to deal with inventory, which is either bought from a separate manufacturer or produced by the company itself. Items previously in inventory that are sold off are recorded on a company’s income statement as cost of goods sold (COGS). COGS is an important figure for businesses, investors, and analysts as it is subtracted from sales revenue to determine gross margin on the income statement. To calculate the total cost of goods sold to consumers during a period, different companies use one of three inventory cost methods:

Average cost method uses a simple average of all similar items in inventory, regardless of purchase date, followed by a count of final inventory items at the end of an accounting period. Multiplying the average cost per item by the final inventory count gives the company a figure for the cost of goods available for sale at that point. The same average cost is also applied to the number of items sold in the previous accounting period to determine the COGS.

Example of Average Cost Method

For example, consider the following inventory ledger for Sam’s Electronics:

Purchase date Number of items Cost per unit Total cost
1/1 20 $1,000 $20,000
1/18 15 $1,020 $15,300
2/10 30 $1,050 $31,500
2/20 10 $1,200 $12,000
3/5 25 $1,380 $34,500
Total 100   $113,300

Assume the company sold 72 units in the first quarter. The weighted-average cost is the total inventory purchased in the quarter, $113,300, divided by the total inventory count from the quarter, 100, for an average of $1,133 per unit. The cost of goods sold (COGS) will be recorded as 72 units sold × $1,133 average cost = $81,576. The cost of goods available for sale, or inventory at the end of the period, will be the 28 remaining items still in inventory × $1,133 = $31,724.

Benefits of Average Cost Method

Average cost method requires minimal labor to apply and is, therefore, the least expensive of all the methods. In addition to the simplicity of applying average cost method, income cannot be as easily manipulated as other inventory-costing methods. Companies that sell products that are indistinguishable from each other or that find it difficult to find the cost associated with individual units will prefer to use average cost method. This also helps when there are large volumes of similar items moving through inventory, making it time-consuming to track each individual item.

Special Considerations

One of the core aspects of U.S. generally accepted accounting principles (GAAP) is consistency. The consistency principle requires a company to adopt an accounting method and follow it consistently from one accounting period to another.

For example, businesses that adopt average cost method need to continue to use this method for future accounting periods. This principle is in place for the ease of financial statement users so that figures on the financials can be compared year over year. A company that changes its inventory-costing method must highlight the change in its footnotes to the financial statements and apply the same method retroactively to prior period-comparative financial statements.

What is the average cost method formula?

The average cost method formula is calculated as:

Total Cost of Goods Purchased or Produced in Period ÷ Total Number of Items Purchased or Produced in Period = Average Cost for Period

The result can then be applied to both the cost of goods sold (COGS) and the cost of goods still held in inventory at the end of the period.

Why should I use average cost method?

Average cost method is a simple inventory valuation method, especially for businesses with large volumes of similar inventory items. Instead of tracking each individual item throughout the period, the weighted average can be applied across all similar items at the end of the period.

What inventory cost methods are acceptable under generally accepted accounting principles (GAAP)?

GAAP allows for last in, first out (LIFO), first in, first out (FIFO), or average cost method of inventory valuation. On the other hand, International Financial Reporting Standards (IFRS) do not allow LIFO because it does not typically represent the actual flow of inventory through a business.

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Anti-Dilution Provision: Definition, How It Works, Types, Formula

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Anti-Dilution Provision: Definition, How It Works, Types, Formula

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What Is an Anti-Dilution Provision?

Anti-dilution provisions are clauses built into convertible preferred stocks and some options to help shield investors from their investment potentially losing value. When new issues of a stock hit the market at a cheaper price than that paid by earlier investors in the same stock, then equity dilution can occur. Anti-dilution provisions are also referred to as anti-dilution clauses, subscription rights, subscription privileges, or preemptive rights.

Understanding Anti-Dilution Provisions

Anti-dilution provisions act as a buffer to protect investors against their equity ownership positions becoming diluted or less valuable. This can happen when the percentage of an owner’s stake in a company decreases because of an increase in the total number of shares outstanding. Total shares outstanding may increase because of new share issuance based on a round of equity financing. Dilution can also occur when holders of stock options, such as company employees, or holders of other optionable securities exercise their options.

When the number of shares outstanding increases, each existing stockholder owns a smaller, or diluted, percentage of the company, making each share less valuable.

Sometimes the company receives enough cash in exchange for the shares that the increase in the value of the shares offsets the effects of dilution; but often this is not the case.

Anti-Dilution Provisions at Work

Dilution can be particularly vexing to preferred shareholders of venture capital deals, whose stock ownership may become diluted when later issues of the same stock hit the market at a cheaper price. Anti-dilution provisions can discourage this from happening by tweaking the conversion price between convertible securities, such as corporate bonds or preferred shares, and common stocks. In this way, anti-dilution clauses can keep an investor’s original ownership percentage intact.

Dilution in Action

  • As a simple example of dilution, assume that an investor owns 200,000 shares of a company that has 1,000,000 shares outstanding. The price per share is $5, meaning that the investor has a $1,000,000 stake in a company valued at $5,000,000. The investor owns 20% of the company.
  • Next, assume that the company enters a new round of financing and issues 1,000,000 more shares, bringing the total shares outstanding to 2,000,000. Now, at that same $5 per share price, the investor owns a $1,000,000 stake in a $10,000,000 company. Instantly, the investors’ ownership has been diluted to 10%.

Types of Anti-Dilution Provisions

The two common types of anti-dilution clauses are known as “full ratchet” and “weighted average.”

With a full ratchet provision, the conversion price of the existing preferred shares is adjusted downward to the price at which new shares are issued in later rounds. Very simply, if the original conversion price was $5 and in a later round the conversion price is $2.50, the investor’s original conversion price would adjust to $2.50.

The weighted average provision uses the following formula to determine new conversion prices:

  • C2 = C1 x (A + B) / (A + C)

Where:

  • C2 = new conversion price
  • C1 = old conversion price
  • A = number of outstanding shares before a new issue
  • B = total consideration received by the company for the new issue
  • C = number of new shares issued

Key Takeaways

  • Anti-dilution provisions are clauses built into convertible preferred stocks to help shield investors from their investment potentially losing value.
  • Dilution can occur when the percentage of an owner’s stake in a company decreases because of an increase in the total number of shares outstanding. 
  • Anti-dilution provisions are also referred to as anti-dilution clauses, subscription rights, subscription privileges, or preemptive rights.

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Asset Coverage Ratio: Definition, Calculation, and Example

Written by admin. Posted in A, Financial Terms Dictionary

Asset Coverage Ratio: Definition, Calculation, and Example

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What Is the Asset Coverage Ratio?

The asset coverage ratio is a financial metric that measures how well a company can repay its debts by selling or liquidating its assets. The asset coverage ratio is important because it helps lenders, investors, and analysts measure the financial solvency of a company. Banks and creditors often look for a minimum asset coverage ratio before lending money.

Key Takeaways

  • The asset coverage ratio is a financial metric that measures how well a company can repay its debts by selling or liquidating its assets.
  • The higher the asset coverage ratio, the more times a company can cover its debt.
  • Therefore, a company with a high asset coverage ratio is considered to be less risky than a company with a low asset coverage ratio.

Understanding the Asset Coverage Ratio

The asset coverage ratio provides creditors and investors with the ability to gauge the level of risk associated with investing in a company. Once the coverage ratio is calculated, it can be compared to the ratios of companies within the same industry or sector.

It’s important to note that the ratio is less reliable when comparing it to companies of different industries. Companies within certain industries may typically carry more debt on their balance sheet than others.

For example, a software company might not have much debt while an oil producer is usually more capital intensive, meaning it carries more debt to finance the expensive equipment, such as oil rigs but then again has assets on its balance sheet to back the loans.

Asset Coverage Ratio Calculation

The asset coverage ratio is calculated with the following equation:

((Assets – Intangible Assets) – (Current Liabilities – Short-term Debt)) / Total Debt

In this equation, “assets” refers to total assets, and “intangible assets” are assets that can’t be physically touched, such as goodwill or patents. “Current liabilities” are liabilities due within one year, and “short-term debt” is debt that is also due within one year. “Total debt” includes both short-term and long-term debt. All of these line items can be found in the annual report.

How the Asset Coverage Ratio is Used

Companies that issue shares of stock or equity to raise funds don’t have a financial obligation to pay those funds back to investors. However, companies that issue debt via a bond offering or borrow capital from banks or other financial companies have an obligation to make timely payments and, ultimately, pay back the principal amount borrowed.

As a result, banks and investors holding a company’s debt want to know that a company’s earnings or profits are sufficient to cover future debt obligations, but they also want to know what happens if earnings falter.

In other words, the asset coverage ratio is a solvency ratio. It measures how well a company can cover its short-term debt obligations with its assets. A company that has more assets than it does short-term debt and liability obligations indicates to the lender that the company has a better chance of paying back the funds it lends in the event company earnings can not cover the debt.

The higher the asset coverage ratio, the more times a company can cover its debt. Therefore, a company with a high asset coverage ratio is considered to be less risky than a company with a low asset coverage ratio.

If earnings are not enough to cover the company’s financial obligations, the company might be required to sell assets to generate cash. The asset coverage ratio tells creditors and investors how many times the company’s assets can cover its debts in the event earnings are not enough to cover debt payments.

Compared to debt service ratio, asset coverage ratio is an extreme or last recourse ratio because the assets coverage is an extreme use of the assets’ value under a liquidation scenario, which is not an extraordinary event.

Special Considerations

There is one caveat to consider when interpreting the asset coverage ratio. Assets found on the balance sheet are held at their book value, which is often higher than the liquidation or selling value in the event a company would need to sell assets to repay debts. The coverage ratio may be slightly inflated. This concern can be partially eliminated by comparing the ratio against other companies in the same industry.

Example of the Asset Coverage Ratio

For example, let’s say Exxon Mobil Corporation (XOM) has an asset coverage ratio of 1.5, meaning that there are 1.5x’s more assets than debts. Let’s say Chevron Corporation (CVX)–which is within the same industry as Exxon–has a comparable ratio of 1.4, and even though the ratios are similar, they don’t tell the whole story.

If Chevron’s ratio for the prior two periods was .8 and 1.1, the 1.4 ratio in the current period shows the company has improved its balance sheet by increasing assets or deleveraging–paying down debt. Conversely, let’s say Exxon’s asset coverage ratio was 2.2 and 1.8 for the prior two periods, the 1.5 ratio in the current period could be the start of a worrisome trend of decreasing assets or increasing debt.

In other words, it’s not enough to merely analyze one period’s asset coverage ratio. Instead, it’s important to determine what the trend has been over multiple periods and compare that trend with like companies.

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