What Is an Assignment?

Assignment most often refers to one of two definitions in the financial world:

1. The transfer of an individual’s rights or property to another person or business. This concept exists in a variety of business transactions and is often spelled out contractually.
2. In trading, assignment occurs when an option contract is exercised. The owner of the contract exercises the contract and assigns the option writer to an obligation to complete the requirements of the contract.

Property Rights Assignment

Assignment refers to the transfer of some or all property rights and obligations associated with an asset, property, contract, etc. to another entity through a written agreement. For example, a payee assigns rights for collecting note payments to a bank. A trademark owner transfers, sells, or gives another person interest in the trademark. A homeowner who sells their house assigns the deed to the new buyer.

To be effective, an assignment must involve parties with legal capacity, consideration, consent, and legality of object.

Examples

A wage assignment is a forced payment of an obligation by automatic withholding from an employee’s pay. Courts issue wage assignments for people late with child or spousal support, taxes, loans, or other obligations. Money is automatically subtracted from a worker’s paycheck without consent if they have a history of nonpayment. For example, a person delinquent on $100 monthly loan payments has a wage assignment deducting the money from their paycheck and sent to the lender. Wage assignments are helpful in paying back long-term debts.

Another instance can be found in a mortgage assignment. This is where a mortgage deed gives a lender interest in a mortgaged property in return for payments received. Lenders often sell mortgages to third parties, such as other lenders. A mortgage assignment document clarifies the assignment of contract and instructs the borrower in making future mortgage payments, and potentially modifies the mortgage terms.

A final example involves a lease assignment. This benefits a relocating tenant wanting to end a lease early or a landlord looking for rent payments to pay creditors. Once the new tenant signs the lease, taking over responsibility for rent payments and other obligations, the previous tenant is released from those responsibilities. In a separate lease assignment, a landlord agrees to pay a creditor through an assignment of rent due under rental property leases. The agreement is used to pay a mortgage lender if the landlord defaults on the loan or files for bankruptcy. Any rental income would then be paid directly to the lender.

Options Assignment

Options can be assigned when a buyer decides to exercise their right to buy (or sell) stock at a particular strike price. The corresponding seller of the option is not determined when a buyer opens an option trade, but only at the time that an option holder decides to exercise their right to buy stock. So an option seller with open positions is matched with the exercising buyer via automated lottery. The randomly selected seller is then assigned to fulfill the buyer’s rights. This is known as an option assignment.

Once assigned, the writer (seller) of the option will have the obligation to sell (if a call option) or buy (if a put option) the designated number of shares of stock at the agreed-upon price (the strike price). For instance, if the writer sold calls they would be obligated to sell the stock, and the process is often referred to as having the stock called away. For puts, the buyer of the option sells stock (puts stock shares) to the writer in the form of a short-sold position.

Example

Suppose a trader owns 100 call options on company ABC’s stock with a strike price of $10 per share. The stock is now trading at $30 and ABC is due to pay a dividend shortly. As a result, the trader exercises the options early and receives 10,000 shares of ABC paid at $10. At the same time, the other side of the long call (the short call) is assigned the contract and must deliver the shares to the long.

What Is Appreciation?

Appreciation, in general terms, is an increase in the value of an asset over time. The increase can occur for a number of reasons, including increased demand or weakening supply, or as a result of changes in inflation or interest rates. This is the opposite of depreciation, which is a decrease in value over time.

How Appreciation Works

Appreciation can be used to refer to an increase in any type of asset, such as a stock, bond, currency, or real estate. For example, the term capital appreciation refers to an increase in the value of financial assets such as stocks, which can occur for reasons such as improved financial performance of the company.

Just because the value of an asset appreciates does not necessarily mean its owner realizes the increase. If the owner revalues the asset at its higher price on their financial statements, this represents a realization of the increase.

Another type of appreciation is currency appreciation. The value of a country’s currency can appreciate or depreciate over time in relation to other currencies.

How to Calculate the Appreciation Rate

The appreciation rate is virtually the same as the compound annual growth rate (CAGR). Thus, you take the ending value, divide by the beginning value, then take that result to 1 dividend by the number of holding periods (e.g. years). Finally, you subtract one from the result. 

 However, in order to calculate the appreciation rate that means you need to know the initial value of the investment and the future value. You also need to know how long the asset will appreciate.

For example, Rachel buys a home for $100,000 in 2016. In 2021, the value has increased to $125,000. The home has appreciated by 25% [($125,000 – $100,000) / $100,000] during these five years. The appreciate rate (or CAGR) is 4.6% [($125,000 / $100,000)^(1/5) – 1].

Appreciation vs. Depreciation

Appreciation is also used in accounting when referring to an upward adjustment of the value of an asset held on a company’s accounting books. The most common adjustment on the value of an asset in accounting is usually a downward one, known as depreciation.

Certain assets are given to appreciation, while other assets tend to depreciate over time. As a general rule, assets that have a finite useful life depreciate rather than appreciate.

Depreciation is typically done as the asset loses economic value through use, such as a piece of machinery being used over its useful life. While appreciation of assets in accounting is less frequent, assets such as trademarks may see an upward value revision due to increased brand recognition.

Real estate, stocks, and precious metals represent assets purchased with the expectation that they will be worth more in the future than at the time of purchase. By contrast, automobiles, computers, and physical equipment gradually decline in value as they progress through their useful lives.

Example of Capital Appreciation

An investor purchases a stock for $10 and the stock pays an annual dividend of $1, equating to a dividend yield of 10%. A year later, the stock is trading at $15 per share and the investor has received the dividend of $1.

The investor has a return of $5 from capital appreciation as the price of the stock went from the purchase price or cost basis of $10 to a current market value of $15. In percentage terms, the stock price increase led to a return from capital appreciation of 50%. The dividend income return is $1, equating to a return of 10% in line with the original dividend yield. The return from capital appreciation combined with the return from the dividend leads to a total return on the stock of $6 or 60%.

Example of Currency Appreciation

China’s ascension onto the world stage as a major economic power has corresponded with price swings in the exchange rate for its currency, the yuan. Beginning in 1981, the currency rose steadily against the dollar until 1996, when it plateaued at a value of $1 equaling 8.28 yuan until 2005. The dollar remained relatively strong during this period. It meant cheaper manufacturing costs and labor for American companies, who migrated to the country in droves.

It also meant that American goods were competitive on the world stage as well as the U.S. due to their cheap labor and manufacturing costs. In 2005, however, China’s yuan reversed course and appreciated 33% in value against the dollar. As of May 2021, it’s still near that retraced level, trading at 6.4 yuan.

Appreciation FAQs

What Is an Appreciating Asset?

An appreciating asset is any asset which value is increasing. For example, appreciating assets can be real estate, stocks, bonds, and currency.

What Is Appreciation Rate?

Appreciation rate is another word for growth rate. The appreciation rate is the rate at which an asset’s value grows.

What Is a Good Home Appreciation Rate?

A good appreciation rate is relative to the asset and risk involved. What might be a good appreciation rate for real estate is different than what is a good appreciation rate for a certain currency given the risk involved.

What Is Meant by Capital Appreciation?

Capital appreciation is the increase in the value or price of an asset. This can include stocks, real estate, or the like.  

The Bottom Line

Appreciation is the rise in the value of an asset, such as currency or real estate. It’s the opposite of depreciation, which reduces the value of an asset over its useful life. Increases in value can be attributed to interest rate changes, supply and demand changes, or various other reasons. 

What Is At The Money (ATM)?

At the money (ATM) is a situation where an option’s strike price is identical to the current market price of the underlying security. An ATM option has a delta of ±0.50, positive if it is a call, negative for a put.

Both call and put options can be simultaneously ATM. For example, if XYZ stock is trading at $75, then the XYZ 75 call option is ATM and so is the XYZ 75 put option. ATM options have no intrinsic value, but will still have extrinsic or time value prior to expiration, and may be contrasted with either in the money (ITM) or out of the money (OTM) options.

Understanding At The Money (ATM)

At the money (ATM), sometimes referred to as “on the money”, is one of three terms used to describe the relationship between an option’s strike price and the underlying security’s price, also called the option’s moneyness.

Options can be in the money (ITM), out of the money (OTM), or ATM. ITM means the option has intrinsic value and OTM means it doesn’t. Simply put, ATM options are not in a position to profit if exercised, but still have value—there is still time before they expire so they may yet end up ITM.

The intrinsic value for a call option is calculated by subtracting the strike price from the underlying security’s current price. The intrinsic value for a put option, on the other hand, is calculated by subtracting the underlying asset’s current price from its strike price.

A call option is ITM when the option’s strike price is less than the underlying security’s current price. Conversely, a put option is ITM when the option’s strike price is greater than the underlying security’s stock price. Meanwhile, a call option is OTM when its strike price is greater than the current underlying security’s price and a put option is OTM when its strike price is less than the underlying asset’s current price.

Special Considerations

Options that are ATM are often used by traders to construct spreads and combinations. Straddles, for instance, will typically involve buying (or selling) both an ATM call and put.

ATM options are the most sensitive to various risk factors, known as an option’s “Greeks”. ATM options have a ±0.50 delta, but have the greatest amount of gamma, meaning that as the underlying moves its delta will move away from ±0.50 rapidly, and most rapidly as time to expiration nears.

ATM options are the most sensitive to time decay, as represented by an option’s theta. Moreover, their prices are most responsive to changes in volatility, especially for farther maturities, and is expressed by an option’s vega. Finally, ATM options are also most sensitive to changes in interest rates, as measured by the rho.

At The Money (ATM) and Near The Money

The term “near the money” is sometimes used to describe an option that is within 50 cents of being ATM. For example, assume an investor purchases a call option with a strike price of $50.50 and the underlying stock price is trading at $50. In this case, the call option is said to be near the money.

In the above example, the option would be near the money if the underlying stock price was trading between about $49.50 and $50.50. Near the money and ATM options are attractive when traders expect a big movement. Options that are even further OTM may also see a jump when a swing is anticipated.

Options Pricing for At The Money (ATM) Options

An option’s price is made up of intrinsic and extrinsic value. Extrinsic value is sometimes called time value, but time is not the only factor to consider when trading options. Implied volatility also plays a significant role in options pricing. 

Similar to OTM options, ATM options only have extrinsic value because they possess no intrinsic value. For example, assume an investor purchases an ATM call option with a strike price of $25 for a price of 50 cents. The extrinsic value is equivalent to 50 cents and is largely affected by the passage of time and changes in implied volatility.

Assuming volatility and the price stay steady, the closer the option gets to expiry the less extrinsic value it has. If the price of the underlying moves above the strike price to $27, the option now has $2 of intrinsic value, plus whatever extrinsic value remains.

What Is Arbitrage?

Arbitrage is the simultaneous purchase and sale of the same or similar asset in different markets in order to profit from tiny differences in the asset’s listed price. It exploits short-lived variations in the price of identical or similar financial instruments in different markets or in different forms.

Arbitrage exists as a result of market inefficiencies, and it both exploits those inefficiencies and resolves them.

Understanding Arbitrage

Arbitrage can be used whenever any stock, commodity, or currency may be purchased in one market at a given price and simultaneously sold in another market at a higher price. The situation creates an opportunity for a risk-free profit for the trader.

Arbitrage provides a mechanism to ensure that prices do not deviate substantially from fair value for long periods of time. With advancements in technology, it has become extremely difficult to profit from pricing errors in the market. Many traders have computerized trading systems set to monitor fluctuations in similar financial instruments. Any inefficient pricing setups are usually acted upon quickly, and the opportunity is eliminated, often in a matter of seconds.

Examples of Arbitrage

As a straightforward example of arbitrage, consider the following: The stock of Company X is trading at $20 on the New York Stock Exchange (NYSE), while, at the same moment, it is trading for $20.05 on the London Stock Exchange (LSE).

A trader can buy the stock on the NYSE and immediately sell the same shares on the LSE, earning a profit of 5 cents per share.

The trader can continue to exploit this arbitrage until the specialists on the NYSE run out of inventory of Company X’s stock, or until the specialists on the NYSE or the LSE adjust their prices to wipe out the opportunity.

A More Complicated Arbitrage Example

A trickier example can be found in currencies markets using triangular arbitrage. In this case, the trader converts one currency to another, converts that second currency to a third bank, and finally converts the third currency back to the original currency.

Suppose you have $1 million and you are provided with the following exchange rates: USD/EUR = 1.1586, EUR/GBP = 1.4600, and USD/GBP = 1.6939.

With these exchange rates, there is an arbitrage opportunity:

1. Sell dollars to buy euros: $1 million ÷ 1.1586 = €863,110
2. Sell euros for pounds: €863,100 ÷ 1.4600 = £591,171
3. Sell pounds for dollars: £591,171 × 1.6939 = $1,001,384
4. Subtract the initial investment from the final amount: $1,001,384 – $1,000,000 = $1,384

From these transactions, you would receive an arbitrage profit of $1,384 (assuming no transaction costs or taxes).

The Bottom Line

Arbitrage is a condition where you can simultaneously buy and sell the same or similar product or asset at different prices, resulting in a risk-free profit.

Economic theory states that arbitrage should not be able to occur because if markets are efficient, there would be no such opportunities to profit. However, in reality, markets can be inefficient and arbitrage can happen. When arbitrageurs identify and then correct such mispricings (by buying them low and selling them high), though, they work to move prices back in line with market efficiency. This means that any arbitrage opportunities that do occur are short-lived.

There are many different arbitrage strategies that exist, some involving complex interrelationships between different assets or securities.

Correction—April 9, 2022: A previous version of this article had miscalculated the complicated arbitrage example.