What Is the Average Cost Basis Method?

The average cost basis method is a system of calculating the value of mutual fund positions held in a taxable account to determine the profit or loss for tax reporting. Cost basis represents the initial value of a security or mutual fund that an investor owns.

The average cost is then compared with the price at which the fund shares were sold to determine the gains or losses for tax reporting. The average cost basis is one of many methods that the Internal Revenue Service (IRS) allows investors to use to arrive at the cost of their mutual fund holdings.

Understanding the Average Cost Basis Method

The average cost basis method is commonly used by investors for mutual fund tax reporting. A cost basis method is reported with the brokerage firm where the assets are held. The average cost is calculated by dividing the total amount in dollars invested in a mutual fund position by the number of shares owned. For example, an investor that has $10,000 in an investment and owns 500 shares would have an average cost basis of $20 ($10,000 / 500).

Types of Cost Basis Methods

Although many brokerage firms default to the average cost basis method for mutual funds, there are other methods available.

FIFO

The first in, first out (FIFO) method means that when shares are sold, you must sell the first ones that you acquired first when calculating gains and losses. For example, let’s say an investor owned 50 shares and purchased 20 in January while purchasing 30 shares in April. If the investor sold 30 shares, the 20 in January must be used, and the remaining ten shares sold would come from the second lot purchased in April. Since both the January and April purchases would have been executed at different prices, the tax gain or loss would be impacted by the initial purchase prices in each period.

Also, if an investor has had an investment for more than one year, it would be considered a long-term investment. The IRS applies a lower capital gains tax to long-term investments versus short-term investments, which are securities or funds acquired in less than one year. As a result, the FIFO method would result in lower taxes paid if the investor had sold positions that were more than a year old.

LIFO

The last in first out (LIFO) method is when an investor can sell the most recent shares acquired first followed by the previously acquired shares. The LIFO method works best if an investor wants to hold onto the initial shares purchased, which might be at a lower price relative to the current market price.

High-Cost and Low-Cost Methods

The high-cost method allows investors to sell the shares that have the highest initial purchase price. In other words, the shares that were the most expensive to buy get sold first. A high-cost method is designed to provide investors with the lowest capital gains tax owed. For example, an investor might have a large gain from an investment, but doesn’t want to realize that gain yet, but needs money.

Having a higher cost means the difference between the initial price and the market price, when sold, will result in the smallest gain. Investors might also use the high-cost method if they want to take a capital loss, from a tax standpoint, to offset other gains or income.

Conversely, the low-cost method allows investors to sell the lowest-priced shares first. In other words, the cheapest shares you purchased get sold first. The low-cost method might be chosen if an investor wants to realize a capital gain on an investment.

Choosing a Cost-Basis Method

Once a cost basis method has been chosen for a specific mutual fund, it must remain in effect. Brokerage firms will provide investors with appropriate annual tax documentation on mutual fund sales based on their cost basis method elections.

Investors should consult a tax advisor or financial planner if they are uncertain about the cost basis method that will minimize their tax bill for substantial mutual fund holdings in taxable accounts. The average cost basis method may not always be the optimal method from a taxation point of view. Please note that the cost basis only becomes important if the holdings are in a taxable account, and the investor is considering a partial sale of the holdings.

Specific Identification Method

The specific identification method (also known as specific share identification) allows the investor to choose which shares are sold in order to optimize the tax treatment. For example, let’s say an investor purchases 20 shares in January and 20 shares in February. If the investor later sells 10 shares, they can choose to sell 5 shares from the January lot and 5 shares from the February lot.

Example of Cost Basis Comparisons

Cost basis comparisons can be an important consideration. Let’s say that an investor made the following consecutive fund purchases in a taxable account:

• 1,000 shares at $30 for a total of $30,000
• 1,000 shares at $10 for a total of $10,000
• 1,500 shares at $8 for a total of $12,000

The total amount invested equals $52,000, and the average cost basis is calculated by dividing $52,000 by 3,500 shares. The average cost is $14.86 per share.

Suppose the investor then sells 1,000 shares of the fund at $25 per share. The investor would have a capital gain of $10,140 using the average cost basis method. The gain or loss using average cost basis would be as follows:

• ($25 – $14.86) x 1,000 shares = $10,140.

Results can vary depending on the cost-basis method chosen for tax purposes:

• First in first out: ($25 – $30) x 1,000 shares = – $5,000
• Last in first out: ($25 – $8) x 1,000 = $17,000
• High cost: ($25 – $30) x 1,000 shares = – $5,000
• Low cost: ($25 – $8) x 1,000 = $17,000

From strictly a tax standpoint, the investor would be better off selecting the FIFO method or the high-cost method to calculate the cost basis before selling the shares. These methods would result in no tax on the loss. However, with the average cost basis method, the investor must pay a capital gains tax on the $10,140 in earnings.

Of course, if the investor sold the 1,000 shares using the FIFO method, there’s no guarantee that when the remaining shares are sold that $25 will be the selling price. The stock price could decrease, wiping out most of the capital gains and an opportunity to realize a capital gain would have been lost. As a result, investors must weigh the choice as to whether to take the gain today and pay the capital gains taxes or try to reduce their taxes and risk losing any unrealized gains on their remaining investment.

What Is an Annualized Rate of Return?

An annualized rate of return is calculated as the equivalent annual return an investor receives over a given period. The Global Investment Performance Standards dictate that returns of portfolios or composites for periods of less than one year may not be annualized. This prevents “projected” performance in the remainder of the year from occurring.

Understanding Annualized Rate

Annualized returns are returns over a period scaled down to a 12-month period. This scaling process allows investors to objectively compare the returns of any assets over any period.

Calculation Using Annual Data

Calculating the annualized performance of an investment or index using yearly data uses the following data points:

P = principal, or initial investment

G = gains or losses

n = number of years

AP = annualized performance rate

The generalized formula, which is exponential to take into account compound interest over time, is:

AP = ((P + G) / P) ^ (1 / n) – 1

Annualized Rate of Return Examples

For example, assume an investor invested $50,000 into a mutual fund and, four years later, the investment is worth $75,000. This is a $25,000 gain in four years. Thus, the annualized performance is:

AP = (($50,000 + $25,000) / $50,000) ^ (1/4) – 1

In this example, the annualized performance is 10.67 percent.

A $25,000 gain on a $50,000 investment over four years is a 50 percent return. It is inaccurate to say the annualized return is 12.5 percent, or 50 percent divided by four because this does not take into effect compound interest. If reversing the 10.67 percent result to compound over four years, the result is exactly what is expected:

$75,000 = $50,000 x (1 + 10.67%) ^ 4

It is important not to confuse annualized performance with annual performance. The annualized performance is the rate at which an investment grows each year over the period to arrive at the final valuation. In this example, a 10.67 percent return each year for four years grows $50,000 to $75,000. But this says nothing about the actual annual returns over the four-year period. Returns of 4.5 percent, 13.1 percent, 18.95 percent and 6.7 percent grow $50,000 into approximately $75,000. Also, returns of 15 percent, -7.5 percent, 28 percent, and 10.2 percent provide the same result.

Using Days in the Calculation

Industry standards for most investments dictate the most precise form of annualized return calculation, which uses days instead of years. The formula is the same, except for the exponent:

AP = ((P + G) / P) ^ (365 / n) – 1

Assume from the previous example that the fund returned $25,000 over a 1,275-day period. The annualized return is then:

AP = (($50,000 + $25,000) / $50,000) ^ (365/1275) – 1

The annualized performance in this example is 12.31 percent.

What Is Annual Turnover?

Annual turnover is the percentage rate at which something changes ownership over the course of a year. For a business, this rate could be related to its yearly turnover in inventories, receivables, payables, or assets.

In investments, a mutual fund or exchange-traded fund (ETF) turnover rate replaces its investment holdings on a yearly basis. Portfolio turnover is the comparison of assets under management (AUM) to the inflow, or outflow, of a fund’s holdings. The figure is useful to determine how actively the fund changes the underlying positions in its holdings. High figure turnover rates indicate an actively managed fund. Other funds are more passive and have a lower percentage of holding turnovers. An index fund is an example of a passive holding fund.

Calculating Annual Turnover

To calculate the portfolio turnover ratio for a given fund, first determine the total amount of assets purchased or sold (whichever happens to be greater), during the year. Then, divide that amount by the average assets held by the fund over the same year.


$\begin{aligned}&\text{portfolio turnover}\ =\ \frac{\operatorname{max}\begin{cases} \text{fund purchases}\\ \quad \text{fund sales}\end{cases}}{\text{average assets}}\end{aligned}$​portfolio turnover = average assetsmax{fund purchasesfund sales​​​

For example, if a mutual fund held $100 million in assets under management (AUM) and $75 million of those assets were liquidated at some point during the measurement period, the calculation is:


$\begin{aligned}&\frac{\$75\text{m}}{\$100\text{m}}=0.75\\&\textbf{where:}\\&\text{m}=\text{million}\end{aligned}$​$100m$75m​=0.75where:​

It is important to note that a fund turning over at 100% annually has not necessarily liquidated all positions with which it began the year. Instead, the complete turnover accounts for the frequent trading in and out of positions and the fact that sales of securities equal total AUM for the year. Also, using the same formula, the turnover rate is also measured by the number of securities bought in the measurement period.

Annualized Turnover in Investments

Annualized turnover is a future projection based on one month—or another shorter period of time—of investment turnover. For example, suppose that an ETF has a 5% turnover rate for the month of February. Using that figure, an investor may estimate annual turnover for the coming year by multiplying the one-month turnover by 12. This calculation provides an annualized holdings turnover rate of 60%.

Actively Managed Funds

Growth funds rely on trading strategies and stock selection from seasoned professional managers who set their sights on outperforming the index against which the portfolio benchmarks. Owning large equity positions is less about a commitment to corporate governance than it is a means to positive shareholder results. Managers who consistently beat the indices stay on the job and attract significant capital inflows.

While the passive versus active management argument persists, high volume approaches can realize moderate success. Consider the American Century Small Cap Growth fund (ANOIX), a four-star-rated Morningstar fund with a frantic 141% turnover rate (as of February 2021) that outperformed the S&P 500 Index considently over the last 15 years (through 2021).

Passively Managed Funds

Index funds, such as the Fidelity 500 Index Fund (FXAIX), adopt a buy-and-hold strategy. Following this system, the fund owns positions in equities as long as they remain components of the benchmark. The funds maintain a perfect, positive correlation to the index, and thus, the portfolio turnover rate is just 4%. Trading activity is limited to purchasing securities from inflows and infrequently selling issues removed from the index. More than 60% of the time, indices have historically outpaced managed funds.

Also, it is important to note, a high turnover rate judged in isolation is never an indicator of fund quality or performance. The Fidelity Spartan 500 Index Fund, after expenses, trailed the S&P 500 by 2.57% in 2020.

Annual Turnover in Business: Inventory Turnover

Businesses use several annual turnover metrics for understanding how well the business is running on a yearly basis. Inventory turnover measures how fast a company sells inventory and how analysts compare it to industry averages. A low turnover implies weak sales and possibly excess inventory, also known as overstocking. It may indicate a problem with the goods being offered for sale or be a result of too little marketing. A high ratio implies either strong sales or insufficient inventory. The former is desirable while the latter could lead to lost business. Sometimes a low inventory turnover rate is a good thing, such as when prices are expected to rise (inventory pre-positioned to meet fast-rising demand) or when shortages are anticipated.

The speed at which a company can sell inventory is a critical measure of business performance. Retailers that move inventory out faster tend to outperform. The longer an item is held, the higher its holding cost will be, and the fewer reasons consumers will have to return to the shop for new items.

What Is the Aroon Oscillator?

The Aroon Oscillator is a trend-following indicator that uses aspects of the Aroon Indicator (Aroon Up and Aroon Down) to gauge the strength of a current trend and the likelihood that it will continue.

Understanding the Aroon Oscillator

Aroon oscillator readings above zero indicate that an uptrend is present, while readings below zero indicate that a downtrend is present. Traders watch for zero line crossovers to signal potential trend changes. They also watch for big moves, above 50 or below -50 to signal strong price moves.

The Aroon Oscillator was developed by Tushar Chande in 1995 as part of the Aroon Indicator system. Chande’s intention for the system was to highlight short-term trend changes. The name Aroon is derived from the Sanskrit language and roughly translates to “dawn’s early light.”

The Aroon Indicator system includes Aroon Up, Aroon Down, and Aroon Oscillator. The Aroon Up and Aroon Down lines must be calculated first before drawing the Aroon Oscillator. This indicator typically uses a timeframe of 25 periods, however, the timeframe is subjective. Using more periods garners fewer waves and a smoother-looking indicator. Using fewer periods generates more waves and a quicker turnaround in the indicator. The oscillator moves between -100 and 100. A high oscillator value is an indication of an uptrend while a low oscillator value is an indication of a downtrend.

Aroon Up and Aroon Down move between zero and 100. On a scale of zero to 100, the higher the indicator’s value, the stronger the trend. For example, a price reaching new highs one day ago would have an Aroon Up value of 96 ((25-1)/25)x100). Similarly, a price reaching new lows one day ago would have an Aroon Down value of 96 ((25-1)x100).

The highs and lows used in the Aroon Up and Aroon Down calculations help to create an inverse relationship between the two indicators. When the Aroon Up value increases, the Aroon Down value will typically see a decrease and vice versa.

When Aroon Up remains high from consecutive new highs, the oscillator value will be high, following the uptrend. When a security’s price is on a downtrend with many new lows, the Aroon Down value will be higher resulting in a lower oscillator value.

The Aroon Oscillator line can be included with or without the Aroon Up and Aroon Down when viewing a chart. Significant changes in the direction of the Aroon Oscillator can help to identify a new trend.

Aroon Oscillator Formula and Calculation

The formula for the Aroon oscillator is:

$\begin{aligned} &\text{Aroon Oscillator}=\text{Aroon Up}-\text{Aroon Down}\\ &\text{Aroon Up}=100*\frac{\left(25 – \text{Periods Since 25-Period High}\right)}{25}\\ &\text{Aroon Down}=100*\frac{\left(25 – \text{Periods Since 25-Period Low}\right)}{25}\\ \end{aligned}$​Aroon Oscillator=Aroon Up−Aroon DownAroon Up=100∗25(25−Periods Since 25-Period High)​Aroon Down=100∗25(25−Periods Since 25-Period Low)​​

To calculate the Aroon oscillator:

1. Calculate Aroon Up by finding how many periods it has been since the last 25-period high. Subtract this from 25, then divide the result by 25. Multiply by 100.
2. Calculate Aroon Down by finding how many periods it has been since the last 25-period low. Subtract this from 25, then divide the result by 25. Multiply by 100.
3. Subtract Aroon Down from Aroon Up to get the Aroon Oscillator value.
4. Repeat the steps as each time period ends.

Aroon oscillator differs from the rate of change (ROC) indicator in that the former is tracking whether a 25-period high or low occurred more recently while the latter tracks the momentum by looking at highs and lows and how far the current price has moved relative to a price in the past.

Aroon Oscillator Trade Signals

The Aroon Oscillator can generate trade signals or provide insight into the current trend direction of an asset.

When the oscillator moves above the zero line, the Aroon Up is crossing above the Aroon Down and the price has made a high more recently than a low, a sign that an uptrend is beginning.

When the oscillator moves below zero, the Aroon Down is crossing below the Aroon Up. A low occurred more recently than a high, which could signal that a downtrend is starting.

Limitations of Using the Aroon Oscillator

The Aroon Oscillator keeps a trader in a trade when a long-term trend develops. During an uptrend, for example, the price tends to keep achieving new highs which keep the oscillator above zero.

During choppy market conditions, the indicator will provide poor trade signals, as the price and the oscillator whipsaw back and forth.

The indicator may provide trade signals too late to be useful. The price may have already run a significant course before a trade signal develops. The price may be due for a retracement when the trade signal is appearing.

The number of periods is also arbitrary and there is no validity that a more recent high or low within the last 25-periods will guarantee a new and sustained uptrend or downtrend.

The indicator is best used in conjunction with price action analysis fundamentals of long-term trading, and other technical indicators.

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